Transcript
Oklahoma Math Database — Grade 1 Samples (New for OAS) 1.
2.
Alexis saw lemons and strawberries at the fruit stand.
There are ve painters. Each painter must have a fair share of the paint rollers.
'''''' '''''' '''
Look at the lemons. Write the correct number in each box. Tens
Ones
How many
' in all?
Circle ve groups of paint rollers to show a fair share for each painter. Write the number of paint rollers for each painter.
Look at the strawberries. Write the correct number in each box. Tens
Ones
How many
in all?
3.
Mr. Murray had 8 peaches. He used some peaches to make a pie. Now there are 2 peaches left. How many peaches did Mr. Murray use? Write a subtraction sentence to show the story. Write an addition fact to help you answer.
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4.
Amelia sees a candy drop.
6.
Look at the shapes.
Point to the hexagon. The hexagon has
sides.
Point to the trapezoid. Cost: twenty-three cents
The trapezoid has
sides.
Write the cost with a number and cent sign. Circle the correct coins to show the cost.
7.
My number is a whole number between 0 and 10. If you subtract 1 from my number you get 6. Which number line has a dot on my number? A. B.
5.
Alexandria wants to x her necklace. Which shape should she use to complete the pattern in her necklace?
A.
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B.
C. D.
0
1
2
3
4
5
6
7
8
9
10
0
1
2
3
4
5
6
7
8
9
10
0
1
2
3
4
5
6
7
8
9
10
0
1
2
3
4
5
6
7
8
9
10
! ! ! !
C.
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8.
The table shows how many tools at a garden center. Drawing
Name
hose
clippers
How Many?
Write the Number
eleven
fty-one
rake
seventy-three
sprayer
eighty- ve
Write the number for each type of tool.
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9.
Marcus went to the beach. He saw:
How many of each?
Marcus saw more
than
Marcus saw fewer
than
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.
.
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10.
Start at 36. Count by 2s to help the ducks get to the pond. 36
Start at 15. Count by 5s to help the horses get to the apples.
15 Start at 20. Count by 10s to help the elephants get to the bananas.
20
11.
Melvin collected some eggs in a basket.
Add 10 to each numbered egg in the basket. Then draw a line to the egg that shows 10 more.
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12.
Look at the triangle.
13.
Which sentence best describes the wheel and axle?
Which two shapes can be combined, without any overlap, to form the triangle? A.
A.
It is made with cubes.
B.
It is made with spheres.
C.
It is made with pyramids.
D.
It is made with cylinders.
B.
14.
Uncle Bob and Jake will go to a baseball game. Uncle Bob gives Jake two clues to the time that he will pick up Jake.
C.
The hour hand points between the 2 and 3. The minute hand points to the 6. D.
Draw the time on the clock. What time will Uncle Bob pick up Jake?
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15.
Thirty second-graders were asked about their favorite playground equipment. Fourteen chose the monkey bars. Seven chose the slide. Nine chose the swing set. Which tally chart shows these results?
14 Favorite Equipment
A.
Monkey Bars Slide
Swing Set
Monkey Bars Slide
Swing Set
9 B.
& %%%% & %% && %%%%
Favorite Equipment Monkey Bars Slide
Swing Set
Favorite Equipment
C.
16.
7
D.
& %% && %%%% & %%%%
&& %%%% & %% & %%%%
Favorite Equipment Monkey Bars Slide
Swing Set
& %%%% && %%%% & %%
The shing pole is 7 sh long.
How many worms long is the shing pole? A.
8
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B.
C.
12
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17.
The graph shows the number of chicken drumsticks on each tray. Tray 1
19.
Tray 3
Each
and 6 orange
Which number sentence shows how many
XXXXXXXXX XXXXXX XXX X
Tray 2
There were 3 green
in all?
is 1 chicken drumstick
Which tray has the least number of chicken drumsticks? Which tray has the greatest number of chicken drumsticks?
A.
9
B.
6+3=8
C.
3+6=9
3=6
How many chicken drumsticks on Tray 2?
18.
Look at the boots.
20.
Emily has 5 sh. Beth gave Emily 2 sh. Maria gave Emily 3 sh. How many sh does Emily have in all? A.
8 sh
B.
25 sh
C.
10 sh
D.
7 sh
Circle the number that is closer to the total number of boots. 10
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21.
Which shows the equal parts?
gure divided into four
23.
Use a new pencil to measure objects. How many pencils tall is your teacher's desk?
A.
How many pencils tall is your classroom door? Which is taller? How much taller?
B.
Was it easy to measure with a pencil? What tool makes it easy to measure length?
C.
D. 24.
Tami's glass is lled with juice.
Tami's glass
Blake's glass
Tami pours all of the juice from her glass into Blake's glass. 22.
The juice does not ll Blake's glass.
Look at the pattern. 3, 5, 7, 3, 5, 7, 3, 5, 7,
,
The capacity of Tami's glass must be the capacity of Blake's glass.
,
Fill in the blanks to complete the pattern.
more than
Circle the word that describes the pattern: growing
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less than
equal to
repeating
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25.
There are two columns of clocks. Match each clock on the left with the same time on the right.
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Problem-Attic Sample Document all items from Oklahoma (OAS) Math Database copyright (c) 2016 EducAide Software Grade 1 Num
1
Scoring
2 3 4
C
7
A
8
1.N.3.2
[task]; 4
1.N.4.2 1.A.1.1
1.GM.1.1 1.N.1.3
1.N.1.3
9
1.N.1.4
10 11
Answer
1.N.1.2
1.N.2.1
5 6
Objective
1.N.1.4
6; 8
2 = 6; 2 + 6 = 8
23¢; [task]
[task]; 6; [task]; 4 0
11; 51; 73; 85
D
1.GM.1.3
15
B
1.D.1.1
18
19
20
1.GM.1.2
1.GM.3.1
21
1.GM.2.3
1.D.1.3
1.N.1.6
C
1.N.2.1
B
1.N.3.1
C
1.N.2.1
8
9
10
!
Swing Set
14
&& %%%% & %% & %%%%
Tray 3; Tray 1; 6
10
3+6=9 10 sh
24
1.GM.2.5
less than
1.GM.3.1
7
Favorite Equipment
Monkey Bars
3, 5, 7; repeating
25
6
2:30
1.A.1.1
1.GM.2.1
5
38, 40, 42, 44; 20, 25, 30, 35; 30, 40, 50, 60
22 23
4
14; 6; 23; boats; buckets or balls
Slide
17
3
It is made with cylinders.
13
C
2
[activity]
D
16
1
1.N.1.5
12
14
1, 5, 15; 1, 4, 14
[answers vary] [task]
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Oklahoma Math Database — Grade 2 Samples (New for OAS) 1.
4.
The school store sold 72 pencils in one hour. Which point best represents 72 on the number line? S 16
A.
32
S
40
B.
T
U
Day
!
C.
D.
U
Tuesday
Number of Potatoes Cooked 2
Thursday
20
V
48
T
The table shows the number of potatoes cooked by Ms. Shelton on di erent days.
Wednesday V
200
Write the numbers in order, from smallest to largest. 2.
Explain your answer.
Each picture stands for a number. = 100
= 10
=1
What number does this whole picture stand for? 5.
Marcus read a book that was 243 pages long. Justin read a book that was 276 pages long. Who read the book with more pages?
A.
3.
432
B.
434
C.
334
D.
433
Show the answer with base 10 blocks.
Carpenters installed 798 glass windows in the new homes. 6.
Grant counted 4 berries in the bowl. After he added more, there were 17 berries in the bowl. How many berries did Grant add?
Then the carpenters installed 10 more windows.
A.
5
B.
13
C.
15
D.
16
What was the total number of windows that were installed?
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7.
Wilson and Jayden looked at the cost of toys.
9.
Paula has 13 clips and 28 ribbons. Find how many clips and ribbons she has altogether.
Toy
Cost
Foam Darts (package of 2)
$2
Explain how to “make a ten” to add the digits in the ones place.
$8
Use the ten frames to show the answer.
Foam Dart Blaster
Brazen Hero Figure Wego Building Set
Cool Wheels Race Track Cool Wheels Car
$7 $6 $9 $3
What is the total cost of a Brazen Hero Figure, Foam Dart Blaster, and one package of Foam Darts?
Write a number sentence to show your answer.
What is the total cost of Cool Wheels Race Track, Cool Wheels Car, and a Wego Building Set?
Jayden has $18. Circle three items that Jayden can buy with his money. Will Jayden have any money left over?
10.
Mrs. Klein has a set of handbells.
Wilson wants to buy a Brazen Hero Figure and Cool Wheels Car. Write the amount of money that Wilson needs to buy the two toys.
8.
Mrs. Lang needs 50 paper cups for a class picnic. The picture shows what package sizes are available. Which two packages should she buy?
A.
A and D
B.
B and C
C.
A and B
D.
A and C
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Which shows how to use addition to nd the total number of handbells?
page 2
A.
4+4+4+4
B.
2+2+2+2
C.
2+2+2
D.
4+4+4
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11.
Mr. Ray and Mrs. Jackson equally share a corkboard.
13.
Mrs. Roderick places 2 small tomatoes on top of each salad. Salads
1
3
2
4
5
Tomatoes
corkboard
Fill in the table. How many small tomatoes does Mrs. Roderick place on 5 salads?
M
Draw lines to show the equal parts. What is the name of each equal part? Ms. Norton wants to share the corkboard too.
corkboard
14.
M
Draw lines to show the equal parts now. What is the name of each equal part now?
12.
Tammy had a box of 57 markers. Twenty-eight of the markers were scented. Which number sentence shows how many of the markers were not scented? A.
28
57 =
B.
57 + 28 =
C.
57
28 =
D.
57
26 =
Melinda has
15. She wants to buy a key chain for 86¢. How much more money does she need?
Which of the gures is a hexagon? A.
B.
C.
D.
A.
B. C.
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16.
To nd the carrot, the bunny must only hop onto a true number sentence.
5=3+2 8
3 = 4+1 18 + 26 = 64
7 + 1 = 16
20
7
Circle each true number sentence to help the bunny hop to the carrot.
17.
Look at the construction equipment. The numbers show how many of each.
69
73
75
71
66
Which number does not round to 70?
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18.
Write at least one way that a triangle and a square are alike. Write at least two ways that the gures are di erent.
alike
19.
di erent
Morley wants to know the height of his soccer trophy.
20.
John counted 38 bags of rice. Use the dot grid to show 38 with ten-sticks and ones.
Use the dot grid to show a number that is 10 less than 38. Use the dot grid to show a number that is 10 more than 38.
What is the height of the trophy? Round your answer to the nearest inch.
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21.
For a school bake sale, four groups of children and parents worked in teams.
23.
He counted 4 ducks in the lake.
The table shows the number of mu ns that were made by each team. Team
qqqqq qqqqq qqq
Mu ns
Blue
20
Green
35
Red
40
Yellow
25
How many ducks were counted in all?
Construct a pictograph to display the data. Use
r
Mr. Wooster counted 9 ducks near the lake.
Use the ten frames to build the number.
to represent 5 mu ns.
Write the number sentence. 22.
The graph shows the number of votes for a class mascot.
24.
Haley needs 11 bananas to make banana bread. Haley has 7 bananas.
How many more votes for Grizzlies than for Dolphins?
How many bananas does Haley still need?
How many votes in all?
Write a number sentence with a unknown number.
Sterling said there were more votes for Eagles than Bobcats and Dolphins together. Is he right? Explain or show your thinking.
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[
for the
Solve the number sentence.
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25.
Look at the boxes of fruit. The number tells how many pieces of fruit are in each box.
8
6
12
7
14
Trevor needs 20 pieces of fruit to place on a tray for a party. Trevor can carry only two boxes. Write the fruit that Trevor can choose. Write the number sentence to show how you know. Fruit
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Number Sentence
Fruit
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Problem-Attic Sample Document all items from Oklahoma (OAS) Math Database copyright (c) 2016 EducAide Software Grade 2 Num
1 2 3
Scoring
A A
4 5
B
8
B
10
B
12
C
9
11
13 14
15
C
D
Answer
2.N.1.2
S
2.N.1.4
808
2.N.1.6
Justin; [activity]
2.N.1.3
2.N.1.6
6 7
Objective
2.N.2.2 2.N.2.2 2.N.2.3 2.N.2.4
2.N.2.6
2.N.3.2
432
2, 20, 200; [answers vary] 13
$15; $20; Foam Dart Blaster, Brazen Hero Figure, and Foam Darts; $9 B and C
[answers vary]; [task]; 13 + 28 = 41 2+2+2+2
[activity]; half; [activity]; third
2.N.4.2 2.A.1.1
2.A.2.2
2.GM.1.2
10
57
28 =
16
2.A.2.3
[task]
18
2.GM.1.2
19
2.GM.2.2
both polygons; di erent numbers of sides and angles, di erent measures of sides and angles
18 inches
21
2.D.1.2
[graph]
17
20 22
2.N.1.5
2.N.1.4
2.D.1.4
75
[activity]
9; 36; No, there were 11 votes for Eagles and 11 votes for Bobcats and Dolphins together. ^
^
^
^
^
^
^
^
^
^
^
^
^
23
2.N.2.1
13;
25
2.N.2.2
Apples, Oranges, 8 + 12 = 20, Mangoes, Peaches, 6 + 14 = 20
24
2.A.2.2
7+
; 9 + 4 = 13
= 11; Haley needs 4 bananas.
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Oklahoma Math Database — Grade 3 Samples (New for OAS) 1.
A research group found that one young gray whale weighed 5527 pounds.
4.
A second gray whale weighs 100 pounds more than the rst. How much does it weigh? If a third gray whale weighs 100 pounds less than the rst, how much does it weigh?
5. 2.
To make one pie, a recipe requires 3 oz. cream cheese. For a crowd, Ms. Foster will make 9 times as many pies. Number of Pies
Cream Cheese (ounces)
9
?
1
9
C.
3 + 9 = 12
A.
measuring your weight in pounds
B.
timing the minutes to bake a cake
C.
counting the number of people in your family
D.
estimating the distance from earth to the moon
The poultry farm has 402 chickens and 679 ducks. About how many more ducks than chickens are on the farm? A.
180
B.
6.
3=6
B.
3
9 = 27
D.
3
10 = 30
B.
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D.
1100
Classic Pastrami
213
Turkey Club
123
10
C.
15
D.
57
How many sandwiches sold in all? How many more BBQ Roast Beef than Hot Link sandwiches were sold?
How many times more is 25 than 5? 5
300
Type of Number Sandwich Sold BBQ Roast Beef 348
Wren completed 5 push-ups. Her goal is to complete 25 push-ups.
A.
C.
The Lunch Island is a truck that parks near construction sites to sell sandwiches to the workers.
Hot Link
3.
200
3
Which of these describes the amount of cream cheese she will need? A.
It would be best to round when you are doing which of the following?
The Lunch Island gives one sandwich to the homeless shelter for every 50 sandwiches they sell. How many free sandwiches were given away?
25
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7.
Kiley's baby sister is 5 months old. Kiley kept track of the amount of formula her baby sister drank over a two week period.
10.
Baby Formula
A.
Week Number of Ounces 1 183
B.
2
C.
224
How much more formula did Kiley's baby sister drink during Week 2 than during Week 1?
8.
D.
11.
Lacy placed 5 paper napkins on each table. There are 80 tables.
A.
40 ones
B.
10 ones
C.
40 tens
D.
10 tens
Jackson ate point shows
A.
During preschool snacktime, there were 10 pretzels on a tray.
A
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D.
B
C.
C
D.
D
9
16
21
If the number in Set C is 11, how will you nd its paired number in Set D?
What fraction of the pretzels did Donnie eat? 2 5
B.
Set C Set D
Donnie ate 2 pretzels.
C.
D
Each number in Set C is paired with a number in Set D. The relationship for each pair of numbers is the same.
13
10 2
C
!
8
B.
B
1
1
2 10
cup of peas at dinner. Which on the number line?
0
12.
A.
3 6 3 6 A
Which of these tells how many paper napkins in all?
9.
Look at the fraction bars. Which fraction bar shows two- fths shaded?
1 2
page 2
A.
Multiply 11 by 8
B.
Add 8 to 21
C.
Add 8 to 11
D.
Multiply 11 by 7
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13.
The change purse is for sale at a reduced price.
14.
Which shape appears to have all acute angles? A.
B.
Change Purse 76¢
Circle the fewest number of coins needed to buy the change purse.
C.
D.
Write the number of coins that you circled.
15.
Sasha created groups to nd the total number of candy kisses.
‘‘ ‘‘ ‘‘ ‘‘ ‘ ‘
‘‘ ‘‘ ‘‘ ‘‘ ‘ ‘
‘‘ ‘‘ ‘‘ ‘‘ ‘ ‘
Sasha wrote a numerical expression to describe the groups. (2
5)
3
Using the associative or commutative properties of multiplication, draw a di erent model to show the total number of candy kisses. Write a numerical expression to describe your model.
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16.
Each side of the gure is 3 cm. What is the perimeter? A.
3 cm
B.
8 cm
C.
12 cm
D.
15 cm
18.
Look at the sofa and the truck.
The sofa is 6 feet long. How long is the semi-truck? How much longer is the semi-truck than the sofa?
17.
On the grid, draw 4 di erent rectangles, each of which has an area of 24 square units. Show the dimensions of each rectangle (length and width).
19.
Find the perimeter of each rectangle. Which perimeter is largest? smallest?
Elizabeth wanted to know what the temperature was so she looked on her thermometer. What temperature did she see?
How is it possible for rectangles with the same area to have di erent perimeters? Explain.
A.
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42
B.
45
C.
50
D.
55
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20.
In a survey, fth grade students were asked what country in Europe they would most like to visit. The table shows the results of the survey. Country to visit England
Number of students 56
Italy
35
France Spain
Other
70 28 84
Which is the most reasonable graph of the survey results? A.
B.
C.
D.
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Audrey drew some shapes.
h
h
21.
24.
J
On Career Day, students learned about four di erent types of jobs. Afterward, the students were asked which job sounds most interesting. The results are shown here: Career Day Survey
K health
Write the correct fraction on the line. of the shapes are white
science
of the shapes are black education
of the shapes are triangles of the shapes are squares
business
of the shapes are circles
each
22.
represents 5 students
How many students said science is most interesting?
Lara had ve boxes. She put three candles in each box. Write an addition sentence to show the total number of candles.
A.
5
B.
10
C.
D.
25
40
Write a multiplication sentence to show the total number of candles. What is the total number of candles? 25. 23.
Samantha is building a patio with square tiles. The patio will look like this:
The picture shows a clock that is working, but it is missing its minute hand. Which is reasonable for the correct time? A.
8:45
B.
9:00
C.
9:30
D.
10:30
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How many tiles will Samantha use? A.
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13
B.
20
C.
26
D.
40
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Problem-Attic Sample Document all items from Oklahoma (OAS) Math Database copyright (c) 2016 EducAide Software Grade 3 Num
Scoring
2
B
1 3
A
5
C
4 6 7
D
Objective
Answer
3.N.2.1
3
3.N.1.3
3.N.2.2 3.N.2.4
5627 pounds; 5427 pounds 5
9 = 27
estimating the distance from earth to the moon
3.N.2.4
300
3.N.2.5
41 ounces
3.N.2.5
8
C
9
A
3.N.3.1
10
A
3.N.3.2
11
B
3.N.3.3
B
3.N.4.2
[task]; 4
3.A.2.2
[drawing]; example 2
12 13 14
15 16 17
18
19
20
C
C
D
B
A
21
22 23
C
25
D
24
C
3.N.2.8
741; 291; 14
3.A.1.2
3.GM.1.3
3.GM.2.1
3.GM.2.2
40 tens 2 10
Add 8 to 11
15 cm
(3
5)
Rectangle sizes will vary. The four rectangles all have a length and width whose product is 24, but whose sums are di erent. 3.GM.2.4 36 feet; 30 feet longer
3.GM.2.6
45
3.N.3.1
5 3 3 3 2 8; 8; 8; 8; 8
3.D.1.1
3.N.2.1
3 + 3 + 3 + 3 + 3 = 15; 3
3.D.1.2
25
3.GM.3.1 3.GM.2.8
9:30
5 = 15; 15
40
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Oklahoma Math Database — Grade 4 Samples (New for OAS) 1.
4.
After the ood in Littleton, a church asked for $15 donations to help with cleanup. 96 church members each donated that amount. What was the total of their donations? A.
$1,440
B.
$1,680
C.
$1,800
D.
$1,960
A Cake Walk is a fun game. As music plays, a group of people walk in a circle and occasionally step on a star which is taped to the oor. When the music stops, the person who is stepping on the star wins a cake. Last week, the school had a Cake Walk to raise money. At the beginning, there were ve tables that each had a dozen cakes. At the end of the game, 53 of those cakes had been given away. How many cakes remained on the tables? A.
2.
5
B.
7
C.
22
D.
48
Ms. Thornton bought 7 throw pillows for the couch. The cost of each ranged from $18 to $25. What is a reasonable estimate of the total cost of the pillows? A.
between $50 and $90
B.
between $90 and $120
C.
between $120 and $180
D.
between $220 and $280
5.
The model below represents Joshua's candy bar. He has already eaten the amount that is shaded.
Which shaded model below represents a fraction that is equivalent to 24 ? A.
3.
Fuel is stored in 3 tanks at the factory. The amounts of fuel in the tanks are 5,650 cubic liters, 8,910 cubic liters, and 4,680 cubic liters. How much fuel (in cubic liters) is in all 3 tanks? A.
19,310
B.
18,948
C.
18,712
D.
19,240
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B.
C.
D.
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6.
At the pet show there were 4 dogs entered for every cat entered. There were 16 cats entered. Which number sentence could be used to nd the number of dogs that were entered? A.
16
4=
B.
16
4=
C.
16 + 4 =
D.
16
4=
9.
There are 100 employees in a school. The shaded part of the model shows how many of the employees are custodians.
Which fraction and decimal describe the shaded part of the model? 7.
Gavin budgeted $395 for auto maintenance.
A.
4 100
and 0.4
B.
6 100
and 0.06
First, he got an oil change for $30.
C.
60 100
and 0.60
D.
94 100
and 0.94
Next he had the rear brake pads replaced for $89 and bought two new tires for $127 each. Gavin wants to get his favorite car wash with hand dry that costs $24. Does Gavin have enough in the budget for the car wash?
10.
Does Gavin have any money left in the auto maintenance budget? If yes, how much?
8.
Alli wants to know the volume of a shoe box. She places a layer of inch cubes on the bottom. Then she stacks up inch cubes to nd the height of the box.
Jared makes a fruit drink. He adds 14 cup of avored syrup to 34 cup of soda. What is the total amount of fruit drink that he makes?
Which expression can Alli use to determine the volume of the box? A.
1 cup
C.
4 cup 8
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B.
7 cup 8
D.
3 cup 16
page 2
A.
8
3
1
B.
8
1
1
C.
8
3
3
D.
3
3
3
c 2016 EAS _
11.
On the rst day of fourth grade, Faith went to Room C-24.
13.
Faith saw the classroom schedule posted near the classroom door. Reading
Activity
Number of Packages of Boxes Fruit Snacks 4 48
Time
Math
Recess
12:30
Computer Lab
1:45
School Day Ends
3:00
11:45
Art
108
If the pattern continues, what is the best method to nd the number of packages of fruit snacks in 12 boxes?
10:15
Social Studies
72
9
9:15
10:45
Writing
6
8:00
Science Lunch
The chart below shows how many packages of fruit snacks are in di erent numbers of boxes.
1:15
2:30
What time does Math begin?
A.
Add 90 plus 108
B.
Add 12 plus 48
C.
Multiply 12 by 12
D.
Multiply 12 by 15
How long is Lunch? What is the total amount of time for Math and Science? How long is the school day? If a student is tutored after school until 4:30, how long will the student be at school altogether?
14.
Sedge studied the list of gures. A. square
Which activity lasts the longest? How long is the activity?
B. kite C. trapezoid
How many minutes does Recess last?
D. rhombus 12.
Which gures in the list are quadrilaterals but not parallelograms?
Mr. Byron creates stained glass windows. The gures represent three pieces of stained glass. He needs to cut away 0.5 of each.
A.
A and C only
B.
A and D only
C.
B and C only
D.
B and D only
Shade each gure to represent 0.5. What fraction is equivalent to 0.5?
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page 3
c 2016 EAS _
15.
Ten fth-graders measured di erent amounts of water into a pitcher. The amounts of water are shown on the line plot.
18.
Shade each model to represent the portion of heating oil in the truck.
Water (cups) X 0
1 8
1 4
3 8
X X
X X X
X
X X
1 2
5 8
3 4
7 8
The tanker trucks below carry heating oil. Truck #1 (on the left) is 34 full. Truck #2 is 0.50 full.
X ! 1
What is the total amount of water? A.
5 12 cups
B.
5 43 cups
C.
6 14 cups
D.
6 21 cups 3 4
16.
17.
Use < > = to write a comparison statement about the weight of the sandbags.
A certain clothes washing machine uses 185 liters of water per load. Approximately how many liters of water will it use for 5 loads? A.
1000 L
B.
700 L
C.
400 L
D.
200 L
19.
Martin looks at some kitchen tools that are for sale.
$9
$3
$2
0.50
$6
Which is the most appropriate unit for measuring the amount of space inside a refrigerator? A.
square inches
B.
cubic inches
C.
inches
D.
square feet
Martin buys the cutting board and oven mitt. If he pays with a $20 bill, what amount of money should Martin receive in change? Can Martin buy all of the tools with $20?
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page 4
c 2016 EAS _
20.
Mr. Beckwith created a table to show a number pattern.
21.
Shani has the money shown.
He applied the same rule to each Input to produce each Output. Input
Output
3
18
2 4 5 7
12
24 30
9
10
She wants to buy a pencil for $1.79. Does she have enough money to buy it?
12 a) Complete the number pattern in the table. Explain the rule Mr. Beckwith used to create the number pattern. b) Create 2 more Input/Output tables. Use a di erent rule for each table. c) Explain the rule that you used to create the number pattern in each table.
22.
A.
yes, she has $1.90
B.
no, she only has $1.60
C.
yes, she has $1.80
D.
no, she only has $1.50
Quentin and Eddie put sand in buckets. Quentin lled 46 of his bucket. Eddie lled 84 of his bucket. Quentin exclaimed, “Both fractions have a numerator of 4 so we both have the same amount of sand!” Quentin and Eddie's buckets are the same size and can be modeled with these number lines: !
0
1
0
1
!
Draw and label a point on each number line to show each boy's fraction. Compare the fractions. Do you agree with Quentin? Why or why not?
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c 2016 EAS _
23.
Make a drawing of each geometric term. Be sure to label your drawing. Use symbols to write the name of your drawing. Name (use words)
Drawing
Name (use symbols)
Line HT Point S Angle RUN
24.
Match each term on the left with the correct de nition. Terms may be used more than once. a) line segment
continues forever in one direction
b) ray
has two endpoints
c) angle
two rays with a common endpoint
d) line
has one endpoint
e) point
no length or width no endpoint
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c 2016 EAS _
25.
An elephant digests only a portion of the food it eats every day. Much of the rest is excreted as dung. Some zoos sell the dung to local gardeners for use as fertilizer. A zoo manager recorded the amount of dung produced by a group of elephants during one week. (The values shown are in tons.) 1 6
5 6
2 6
3 6
3 6
1 6
4 6
1 6
3 6
1 6
2 6
3 6
Which line plot displays the data? A.
B.
Dung Produced (tons)
0
X X X X X
X X X
1 6
2 6
C.
X X 3 6
4 6
5 6
X X !
0
X
X X
1 6
2 6
3 6
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0
6 6
1 6
D.
Dung Produced (tons) X X X
Dung Produced (tons)
X
X X X X
4 6
5 6
X ! 6 6
page 7
X X X
X X X
X
X
2 6
3 6
4 6
5 6
X X X X ! 6 6
Dung Produced (tons)
0
X X X X 1 6
X X
X X X X
X
X
2 6
3 6
4 6
5 6
!
6 6
c 2016 EAS _
Problem-Attic Sample Document all items from Oklahoma (OAS) Math Database copyright (c) 2016 EducAide Software Grade 4 Num
Scoring
Objective
Answer
2
C
4.N.1.4
between $120 and $180
B
4.N.1.5
7
6
D
4.A.2.2
16
8
A
10
C
1
A
3
D
5
B
4
7 9
11
12 13 14
15 16 17
18
B
4.N.1.3 4.N.1.5
4.N.2.1
$1,440 19,240
4=
4.N.1.5
No; Yes, Gavin has $22 left in the auto maintenance budget.
4.N.2.5
6 100
4.N.2.4 4.GM.2.3
4.GM.3.1 4.N.2.5
1 cup 8
and 0.06
3
3
9:15; 45 minutes; 2 hours; 7 hours; 8 12 hours; Reading, 1 hour and 15 minutes; 30 minutes [graph];
1 2
C
4.A.1.2
Multiply 12 by 12
D
4.D.1.3
6 12 cups
4.N.3.1
Martin will receive $5 in change; yes.
C
A
4.GM.1.2
4.N.1.4
4.N.2.8
B and C only
1000 L [task];
3 4
> 0:50
19
B
4.GM.2.3
cubic inches
21
C
4.N.2.6
yes, she has $1.80
20 22
4.A.1.1
4.N.2.2
42, 54, 60, 72; multiply by 6; [answers vary]
23 24 25
4.GM.1.1 D
4.GM.1.1 4.D.1.1
1
!
4 8
0
4 8
!
4 6
0
<
1
4 6
To compare fractions, the total number of parts need to be the same. The fraction 84 has 8 total parts and 46 has 6 total parts. Each one of the 8 parts is smaller than each one of the 6 parts. So 84 is smaller than 46 . ! [task]; HT; S; ORUN b; a; c; b; e; d
Dung Produced (tons)
0
X X X X
X X
X X X X
X
X
1 6
2 6
3 6
4 6
5 6
!
6 6
This document is intended for evaluation of Problem-Attic's content and formatting options. The document may be reproduced only in its entirety and if no notices or watermarks are removed. For more information, please visit www.problem-attic.com.
Oklahoma Math Database — Grade 5 Samples (New for OAS) 1.
A.
2.
6.
The lecture hall has 69 rows with 8 seats in each row. Approximately how many people can be seated in the lecture hall? 400
B.
500
C.
560
D.
There were 63.248 liters of oil left in the barrel. 63.248 What does the 4 represent?
600
Mrs. Kent bought 6 penguin salt shakers that waddle across the table.
A.
40 1000
B.
4 10
C.
400 1000
D.
4 1000
If she spent a total of $27, how much did each salt shaker cost?
3.
4.
7.
A diet group has 9 members. Over a 12-week period, the group lost 144 pounds. On average, how many pounds did each member of the group lose? A.
10 lbs
B.
12 lbs
C.
15 lbs
D.
16 lbs
Tao's piece is
1 2
yard.
Alissa's piece is Sean's piece is
7 8
5 16
yard.
yard.
Compare the lengths of the three pieces of ribbon. Use the symbols >, <, and =. Draw number lines, diagrams, or pictures to help you. Label your work. How do you know that your comparison is correct? Explain.
Marc has 207 markers and 236 colored pencils in a large container. He wants to put an equal number of markers into 18 di erent boxes. How many markers will he have in each box? 8.
5.
A ribbon is cut into three pieces.
How much of this rectangle is shaded? A.
1 3
B.
1 5
C.
0.2
D.
0.25
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page 1
If there are 2 quarters, 3 dimes and 5 pennies, what is the total value in pennies? A.
2(25) + 3(5) + 5
B.
2+3+5
C.
2(25) + 3(10) + 5
D.
10(25 + 10 + 1)
c 2016 EAS _
9.
Uncle Frank enjoys shing. He wants to spend the least amount of money to purchase three di erent shing lures and one shing accessory. Fishing Lures Item
Fishing Accessory Price (dollars)
silver minnow
lindy jig spinner
4.25
net
6.75
pliers
5.75
dragon y nymph
scented arti cial worm
Item
1.75
Price (dollars)
stringer
17.85 9.95 7.75
How much money will Uncle Frank spend? A. 10.
11.
B.
$20.95
$19.50
One-third of the students in a class arrive at school before 8:00. Four-ninths of the same class arrive between 8:00 and 8:15. What fraction of the class arrives by 8:15? A.
1 3
B.
1 2
C.
7 9
D.
none of these
Landon bought an ice cream cone that weighed 3 85 ounces. He noticed a hole in the cone so he held it over a bowl. Landon 3 ounce ice cream in the bowl. measured 16 3
5 8
3 16
What number property is used to rewrite 5 18 as 10 9 ? A.
Commutative property
B.
Associative property
C.
Distributive property
D.
Property of one for multiplication
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$27.20
D.
13.
Each of the gures shown was assembled using di erent combinations of the following pieces.
Square 25¢
Triangle A 15¢
Triangle B 30¢
Rectangle 50¢
none of these
Which object would cost the most to build?
How many ounces of ice cream did Landon eat? Write an equation and show your work.
12.
C.
page 2
A.
B.
C.
D.
c 2016 EAS _
14.
Use twelve straws to build a three-dimensional frame of a hexahedron. You can also do this with toothpicks, popsicle sticks or pencils, as long as they are all the same length.
17.
To pour ketchup on french fries, Frankie tipped the bottle as shown by Angle K.
Now “unfold” the hexahedron so that the straws lay at on a table and remain connected as much as possible. You should see something close to a net of the hexahedron. (There will be missing squares or sides of squares.) How many more straws are needed to complete the net? Explain why more straws are needed for the net than for the three-dimensional frame of the hexahedron.
What is the measure of Angle K? A.
15.
16.
18.
A large box is lled with 6 inches of popcorn, as shown in the gure. Which of these expressions shows the volume of popcorn needed to raise the level by 5 inches? A.
6
7
8
B.
1
8
14
C.
5
7
8
D.
7
8
8
19.
18 ft2
C.
30 ft2
B.
24 ft2
D.
36 ft2
80
C.
90
A.
15 in.
B.
25 in.
C.
50 in.
D.
70 in.
D.
260
The shoe sizes of the 9 boys on the school basketball team are shown in the table. Steve Jamal Keith Dante Alec Donovan Joe Charles Tom
Shoe Size 10 11 10 9 9 12 11 13 10
What is the median shoe size of the boys on the team? A.
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B.
Alvin is 5 feet 10 inches tall. How many inches tall is Alvin?
Player
Tammie decided to recover the three cushions on the family-room couch. Each cushion is a rectangular solid shape, 24 in. by 24 in. by 6 in. thick. How many square feet of fabric will be needed to cover all three cushions? A.
10
page 3
10
B.
11
C.
12
D.
13
c 2016 EAS _
20.
Roger studied worker leafcutter ants. One ant measured 0.5 inch. Another ant measured 0.3 inch.
23.
Rose went to the store and discovered that
a) Write each decimal as a fraction with a common denominator. b) Write each decimal in word form. c) Which ant is the shortest? Write <, >, or = in the circle to compare the decimals. 0:5
21.
_
0:3
A lawyer uses extra-heavy paper for documents such as wills and deeds. The paper is coded by “basis weight”, such as #24 and #28.
Weighs the same as
Paper that is labeled #24 has a thickness of 0.004 inches. Paper that is labeled #28 is 0.001 inch thicker than the #24 paper. What is the thickness of the #28 paper? If 22.
weighs 9 ounces, then how
Locate point M on the grid. From point M, move 2 units right, 4 units up, and 3 units left.
much does
What point is located there?
A.
L
B.
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R
C.
V
D.
weigh?
W
page 4
c 2016 EAS _
24.
Given the gure, which of these descriptions apply to side z? I.
25.
The graph shows the number of customers in two local stores during a 6-hour period.
adjacent to a 90 angle
II. adjacent to the hypotenuse III. opposite an acute angle IV. altitude
A.
I only
B.
I and II only
C.
III and IV only
D.
all of the descriptions apply
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At what time was the di erence between the number of customers at Store M and Store N the greatest?
page 5
A.
10 am
B.
11 am
C.
1 pm
D.
2 pm
c 2016 EAS _
Problem-Attic Sample Document all items from Oklahoma (OAS) Math Database copyright (c) 2016 EducAide Software Grade 5 Num
1 2
Scoring
C
3
D
5
D
6
A
4
7 8
C
10
C
9
11
12 13 14
15
B
B
B
5.N.1.4
5.N.1.4
5.N.2.1 5.N.2.1
5.N.2.3
16 lbs
11 markers 0.25 40 1000 7 1 8 > 2 >
2(25) + 3(10) + 5
5.N.3.3
7 9
5.N.3.3
5.N.3.3 5.A.2.1
5.GM.1.2 5.GM.1.3
$19.50
7 Landon ate 3 16 ounces ice cream.
Associative property
80
5.GM.2.2 5.GM.3.3
5.D.1.1
5.N.2.3 5.N.3.4
7
36 ft2
10
5 3 10 , 10 ;
long, >
55 16
ve tenths, three tenths; the shorter ant is 0.3 inch
0.005 inch
5.A.1.2
W
24
D
5.GM.1.1
all of the descriptions apply
B
=
70 in.
D
25
3 16
8
22 23
58 16
[construction], 3
5.GM.3.1
A
5 16
5.A.2.1
B
D
21
$4.50
5
18
20
5.N.1.3
560
5.GM.2.1
D
19
Answer
5.N.1.1
C
16 17
Objective
5.A.2.1
12 oz
5.D.1.2
11 am
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Oklahoma Math Database — Grade 6 Samples (New for OAS) 1.
Wynona wrote the number on the back of a napkin.
4.
0 Which of these could the number describe? A.
2.
A.
the length in meters of a semi-trailer truck
B.
the percent of a race completed before the race begins
C.
the increase in teen ownership of mobile devices
D.
the price of a bottle of water
5.
David works at a grocery store. One afternoon, 17 cans fell o the shelf. David picked up the 17 cans and placed them back on the shelf.
C.
3.
17
17 = 34
17 + 17 = 34
B. D.
6.
17 + 17 = 0 0
17 = 17
Find the letter indicating the measure 1.8 mL on the cylinder shown. A.
P
B.
Q
C.
R
D.
S
www.problem-attic.com
24%
B.
28%
C.
33%
D.
35%
a) Write the multiplication sentence shown by the model.
b) Draw a model to illustrate the product 1 3 . Explain your model. 2 5
Which of these can describe the net change of cans on the shelf? A.
7 An earthquake damaged 20 of the businesses in the area near the epicenter. What percent of the businesses were damaged?
Bill is in charge of the local tennis association's tournament. He has 36 yellow, 48 green, and 24 orange tennis balls. He must put together packages which all have the same number of each color tennis ball. What is the largest number of packages that Bill can make? A.
7.
page 1
3
B.
4
C.
6
D.
12
On a recent trip, Duane's car used 7 gallons of gasoline to travel 105 miles. At this rate, how far could his car travel on 12 gallons of gasoline? A.
61 miles
B.
125 miles
C.
144 miles
D.
180 miles
c 2016 EAS _
8.
The table shows the amount of water that leaks from a rusty pipe over time.
11.
Time Water (min) (ml) 1
A.
8
2
40
$327
C.
$575
D.
$675
Which equation shows the amount of water, w, that leaks after t minutes?
A feather slowly falls from a bird on a tree 3 branch 3 16 inches every hour. If the tree branch is 8 feet high, about how many hours will it take until the feather is on the ground?
A.
w=t+8
B.
w = 8t
A.
C.
8 = wt
D.
8w = t
7
12.
56
13. The local television station has a tower that is 120 feet high, measured to the nearest 10 feet. Which of the following cannot be the actual height of the tower? A.
124 feet
B.
120.4 feet
C.
115.6 feet
D.
114.9 feet
B.
3
A.
11
Key
11 C.
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11 D.
17
19
50 58
72
88
Puppets Pieces of Yarn 6 48 9
11
page 2
30
Puppets Pieces of Yarn 6 48 9
What is the value of the variable, w ?
D.
Puppets Pieces of Yarn 6 42 9
=1 = a variable, w
Use the model to help you solve the open sentence.
2.5
Puppets Pieces of Yarn 6 14 9
Refer to the Key and write the open sentence shown by the model.
C.
29
Tracy was making puppets for gifts. She used 8 pieces of yarn for each puppet that she made. Which table shows how many pieces of yarn she would use to make 6 puppets, 9 puppets, and 11 puppets?
B. 10.
B.
$27
16
5
9.
Larry was able to save 15 of the money he earned last summer. If he saved $135, how much had he earned?
63 71
c 2016 EAS _
14.
15.
The di erence of two numbers is 14. If the larger number is x, write an expression that represents the other number. A.
14x
B.
x
C.
14 + x
D.
14 x
18.
On the graph, draw a square that has the same area as the parallelogram. Explain your answer.
19.
Morgan put her shoes and slippers on a scale. The scale showed a total weight of 1 14 pounds. If the shoes weigh about 15 ounces, then the slippers weight about—
14
Find the value of 21 (n + p) when: n = 21 and p = 7 n = 7 and p = 21 Your two answers should be the same. Look at the expression and the n and p values and explain why the answers are the same.
16.
The nursing sta takes care of a certain number of patients at the hospital. When the patients are divided among 5 nurses, there are 7 patients in the care of each nurse. a) Write an equation to represent the situation and use a variable for the unknown quantity. b) Solve the equation and tell how patients are in the care of each nurse.
17.
20.
20
B.
40
C.
45
D.
60
3 ounces
B.
4 ounces
C.
5 ounces
D.
6 ounces
Kenny, Zeke and Ron count down the minutes until each of their birthdays. The boys displayed the information in a table. Name
Given that AD = CD = CB and that mOA = 40 , what is the measure of ODCB ? A.
A.
Kenny Zeke Ron
Minutes Until Birthday 21,216
32,893
525,600
a) How many days until Kenny's birthday? Round to the nearest day. b) How many hours until Zeke's birthday? Round to the nearest hour. c) If the boys made their calculations on March 10, when is Ron's birthday?
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c 2016 EAS _
24. 21.
is to to
as
is
?
A math test was given to Mr. Supers' class. The table shows the time the students took to complete the test. Time (in minutes)
Frequency
36
7
38
A.
B.
34
32 30 C.
10 1 3 6
Using the data table, determine the:
D.
a) total number of students who took the test b) mode c) median d) mean, to the nearest tenth
22.
Which number line shows the graph of all the numbers greater than 4.6 and less than 6.2? A. B. C. D.
23.
3
4
5
6
7
3
4
5
6
7
3
4
5
6
7
3
4
5
6
7
! ! 25.
! !
In the gure shown, what is the ratio of the shaded area of the inscribed triangle to the area of the rectangle? A.
1:2
B.
6:5
C.
2:1
D.
5:6
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page 4
Alex measured the response time of the local re department to di erent locations at xed distances within the city. If he wants to compare the average respose time of his city's re department to that of another city, he should use which statistic in his comparison? A.
the median time
B.
the mean time
C.
the average of the highest and lowest times
D.
the mode time
c 2016 EAS _
Problem-Attic Sample Document all items from Oklahoma (OAS) Math Database copyright (c) 2016 EducAide Software Grade 6 Num
Scoring
2
B
1 3 4 5
B
D D
6
D
8
B
7
D
Objective
6.N.1.1 6.N.1.1
6.N.4.2
3 4
6.N.1.4
35%
6.N.1.6
12
6.A.3.1
w = 8t
6.A.1.3
3w = 12; [task]; w = 4
6.N.3.3
11
D
6.N.4.4
13
C
6.A.1.2
14
15
D
B
17 + 17 = 0
S
D
12
the percent of a race completed before the race begins
6.N.1.2
9
10
Answer
6.N.4.1
6.N.4.4
6.A.1.3
=
6 12 ;
[graph]
180 miles 114.9 feet $675 30
Puppets 6 9 11
x
14
Pieces of Yarn 48 72 88
6.GM.2.1
30; the order of addition doesn't matter (commutative property), so the same sum is multiplied by 21 p = 7, so p is 35 patients 5 20
C
6.GM.3.2
5 ounces
21
C
6.GM.4.1
22
A
6.N.1.1
23
A
6.N.3.1
1:2
25
B
6.D.1.2
the mean time
16
6.A.3.2
17
A
19
18
20
24
6.A.1.3
2 3
6.GM.1.3
6.GM.3.2
6.D.1.1
[drawing]
15 days; 548 hours; March 10
3
4
5
6
7
!
27, 38, 36, 34.9
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Oklahoma Math Database — Grade 7 Samples (New for OAS) 1.
The number points? A 5
2.
C 3
2
D 1
E 0
F
1
2
3
G 4
A.
A and B
B.
F and G
C.
D and E
D.
C and D
!
5
Ricki measured the mass and volume of four styrofoam blocks and displayed the results in the graph. The density of an object is its mass divided by its volume.
Express 0:77 as a rational number. A.
3.
B 4
5.
0.9 is between which pair of
77 100
B.
7 10
C.
7 9
D.
77 10
For increased power, Betsy wants to increase the weight of her tennis racket.
What is the density of styrofoam?
Betsy has the option to increase the racket 9 ounce. weight by 73 ounce or 14
A.
0.035 gm/cm3
B.
10 gm/cm3
C.
300 gm/cm3
D.
28.6 gm/cm3
Betsy needs to know which weight is the greatest, but does not like comparing fractions. Explain how Betsy can use decimals to nd the greatest weight. Betsy's tennis coach suggests a weight that is between the two weights that Betsy considered adding to the racket. What is a di erent weight that is between the two weights?
4.
Simplify: 26 A.
177
B.
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6.
2(7 + 32 ) 21
C.
6
D.
Nickel-plated pipe, which is used when a sink has exposed plumbing, is available in three-foot segments which cost $13.50. If it's possible to purchase less than a full segment, how much will 28 inches of the pipe cost? A.
$10.50
B.
$9.70
C.
$1.31
D.
none of these
6
page 1
c 2016 EAS _
7.
The bookstore owner bought a dozen books for $54. At what price should he sell the books to make a 33 31 % pro t? A.
8.
C.
$18
D.
$57
Look at isosceles trapezoid FLED and Parallelogram STAR.
$63
The ratio of students to teachers in a certain school is 38 to 3. If there are 342 students in the school, how many teachers are there? A.
9.
B.
$72
11.
B.
1026
C.
38
D.
31
27
a) Compare the two shapes. Describe at least four similarities or di erences. b) Find the area and perimeter of each gure.
The scoring for a math test that has all multiple-choice questions is as follows: The student starts with an automatic 30 points. For each correct answer the student receives 2 points.
12.
For each incorrect answer the student loses 1/2 point. (This is done to prevent guessing.) If a student answers C questions correctly, and I questions incorrectly, which of the following equations could be used to calculate her nal score, M ?
10.
A.
M = 30 + 2C
2I
B.
M = 30 + 2C
1 2 (I)
C.
M = 30(2C)
D.
M = 12 (30 + C)
Simplify: 3(2x
1 2 (I)
13.
2I
A.
79%
B.
71%
C.
29%
D.
21%
In the diagram, ^ABC is similar to ^A0 B0 C0 , AB = 14:4, BC = 8, CA = 12, A0 B0 = x, and B0 C0 = 4.
6) + x
A.
6x
18
B.
7x
6
C.
7x
18
D.
6x
18
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A rectangular eld is covered by circular sprinklers as shown in the diagram. What percentage of the eld is being watered by the sprinklers?
Find the value of x.
page 2
c 2016 EAS _
14.
Mark researched the market data feed times of several companies that provide high-speed trading information between New York and Chicago. He recorded the information in the table. Company A
16.
The circle graph shows the types of customers of an electric utility. If the total number of customers in the data is 5000, what is the best estimate of the number of farming customers?
Market Data Feed time (milliseconds)
B
13.3
8.5
C
10.8
E
10.2
D F
12.1
9.6
A.
Given the data set, what is the range and median time (in milliseconds)? A.
Median: 10.5 Range: 3.7
B.
Median: 10.5 Range: 4.8
C.
Median: 10.2 Range: 3.7
D.
Median: 10.2 Range: 4.8
17.
The Harbor Yacht Club sponsored a short-course sailing competition. The club expects the restaurant to bring in receipts of at least $4350 per hour during the competition.
18.
So far, during four hours the receipts were $3875, $5200, $3680 and $4790. What amount of restaurant receipts are necessary during the fth hour to meet the club expectations?
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page 3
B.
1700
C.
1900
D.
2100
Using a standard playing deck of 52 cards, you draw a card, replace it back into the deck, and then draw again. After drawing two jacks, what is the probability that the third draw will be a jack? A.
15.
1500
1 2197
B.
1 169
C.
1 13
D.
1 4
Rectangle ABCD is inscribed in circle with center O as shown. If AB = 8 and BC = 6 then what is the probability that a point randomly chosen from the gure lies within the rectangle? A.
0.37
B.
0.61
C.
0.75
D.
0.42
c 2016 EAS _
19.
For a chain of department stores, the day after Thanksgiving was its busiest day of the year. (That day is popularly known as “Black Friday”.) The table shows the total amount of sales each hour at the cosmetics counter for all of the 20 stores in the chain. Hour 1 2
Sales
Hour
$14,965
7
$15,780
3
$55,690
5
$13,285
4
$52,960
6
Sales
Hour
$13,480
12
$37,465
14
$16,979
8
$36,890
10
$14,300
9
Sales
11
$16,435
13
$19,400
15
$17,865
$23,800 $27,921
a) Draw a histogram to display the distribution of sales. b) What are the clusters of data observed from the graph? c) What are the gaps in data observed from the graph? d) What could explain the gaps and clusters?
20.
Kaci drew sections inside a shallow hexagonal box. Then Kaci dropped 60 beads into the box. All beads landed inside the box.
Approximately how many beads landed in Section B? Fill in the histogram with the most likely results for each letter.
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page 4
c 2016 EAS _
21.
The graph represents the packages of pencils sold and the packages of erasers sold.
24.
Which product was sold at a faster rate and by how many packages? Explain how you arrived at your answer.
22.
Explain how these three equations are related: x 2 + = 4, 4 3
23.
Brian is looking for a one bedroom apartment. While visiting di erent buildings he received this oor plan. The actual dimensions of the master bedroom is 12 feet by 16 feet. What is the scale used to create this oor plan?
5x 10 + = 20 , 4 3
3x + 8 = 48
Pentagon SPEND is a regular pentagon. If the area of ^SPD = 9x and EN = 11, calculate the total area of the pentagon in terms of x.
A.
A = 27x
B.
A = 29x
C.
A = 38x
D.
A = 67x
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25.
page 5
A.
1 inch = 6 feet
B.
1 inch = 8 feet
C.
1 inch = 16 feet
D.
1 inch = 4 feet
If the triangle is translated so that A becomes . A0 ( 3; 1), then C becomes A.
C0 (0; 2)
B.
C0 (1; 3)
C.
C0 (2; 0)
D.
C0 (2; 1)
c 2016 EAS _
Problem-Attic Sample Document all items from Oklahoma (OAS) Math Database copyright (c) 2016 EducAide Software Grade 7 Num
Scoring
2
C
1 3
D
4
D
6
A
5 7 8 9
10 11
A A D B
C
12
A
14
B
13
15 16
B
18
B
17
19
C
Objective
7.N.1.2
Answer
7.N.1.3
C and D 7 9 3 7 = :42857,
7.A.2.1
0.035 gm/cm3
7.N.1.3 7.N.2.5
6
7.A.2.2
$10.50
7.A.2.3
27
7.A.2.2 7.A.3.3
7.A.4.1
7.GM.2.1
7.GM.2.2
M = 30 + 2C 7x
18
9 14
1 2 (I)
Area of parallelogram: 1000 ft2 , Perimeter: 144.8 ft.
79%
$4205
7.D.2.1
1 13
Median: 10.5 Range: 4.8 1700
0.61
20
7.D.2.3
[graph]; $10000 to $19999: $40000 to $49999: Cluster at lower sales level might indicate bargain shopping habits. Di erent number of shoppers during di erent hours, di erent sales-generating ability of salespersons during the di erent hours. 20 beads; [histogram]
22
7.A.3.1
They are all equivalent.
7.GM.4.2
1 inch = 8 feet
21
7.A.2.1
23
C
25
A
24
7.D.1.2
and
Area of trapezoid: 182.5 ft2 , Perimeter: 61.5 ft
7.D.1.1
7.D.2.2
3 7
Similarities and di erences may vary.
7.2
7.D.1.2
= :64285; any number between
$72
7.GM.4.2 7.D.1.1
9 14
B
Pencils by 12.5 packages per hour
7.GM.2.2 A = 38x
7.GM.4.3 C0 (0; 2)
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Oklahoma Math Database — Pre-Algebra Samples (New for OAS) 1.
1 using a positive exponent and 2 2 evaluate the result. A. C.
2.
If 2 A.
3.
5.
Rewrite
1 1 = 4 22 22 = 4
3x
=
8 3
1 16 ,
B.
22 = 4
D.
1 1 = 2 2 2
then x = 4 3
B.
Ti any has $12 to buy bananas for the ice cream social. Each pound of bananas costs $0.35. Which table best describes the amount of money m Ti any has left after buying b bananas? A.
C.
D.
B.
4 3
0
$12.00
2
$11.40
A.
7:63
102 km
B.
76:3
103 km
C.
6:30
103 km
D.
6:30
104 km
$10.70
b
m
1
$11.65
4
$10.95
b
m
0
$12.00
3
$10.95
b
m
1
$12.00
3
$10.95
5
The radius of Comet Hyakutake is about 2:18 104 km. That is 3.5 times the radius of the Earth. In scienti c notation, what is the radius of the Earth?
C.
2 5
2
Separate the numbers below into the most speci c of these groups:
5
integers
$11.65
4
2
D. 4.
m
1
. 3 4
b
$11.30
$10.60
$11.30
$10.25
$11.30
$10.25
rational numbers 6.
irrational numbers real numbers 8
2 13
4
0:010010001 : : : p 0.8 31 j 3j
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page 1
The graph of the line y = 15 x passes through the second and fourth quadrants. If the slope is changed to 15 without changing either intercept. Through which quadrants does the line now pass? A.
I and II
B.
I and III
C.
II and III
D.
II and IV
c 2016 EAS _
7.
8.
Which equation best describes the graph?
A.
y = 2x + 4
C.
y = 2x +
y = 12 x + 4
D.
y=
1 2x
+4
Write an equation which expresses the relation between x and y in the accompanying table. 2
x
0
9
y
3
5
1
8
11.
11
Graph a line having a x-intercept of 2 and y-intercept of 6. Which of the following points lies on the graph? B
E
C
B.
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B
C.
D
B.
For each additional box of pencils you purchase you will spend $5.00.
C.
Five boxes of pencils cost $2.
D.
Two boxes of pencils cost $5.
To raise money for an end-of-year party, the seventh grade class decides to make calendars. The cost of photos, glue, staples, paper, and pens to make 350 calendars is $44.00. They plan to sell the calendars for $4.00 each.
d) If the class sells all 350 calendars, what is the least amount per calendar that it could charge and still make enough money for the party?
A
You cannot purchase more than 5 boxes of pencils.
c) Will the class have made more calendars than it needs to sell? If so, how many more?
D
A.
A.
b) The class treasurer calculated that the class needs to collect $375.00 in order to throw the party. How many calendars must they sell?
A
The mathematical term for describing the steepness of a line is slope. Interpret the meaning of the graph if the slope of line n is 52 .
a) Write an equation that represents the pro t, C, the class will make from selling the calendars, and use the variable x to represent the number of calendars sold.
9.
1 2
B.
10.
D.
E
page 2
c 2016 EAS _
12.
The height above water level of a curved arch support is given by the equation
16.
y = 0:007x2 + 0:84x + 0:8 where y represents the distance above water in feet and x represents the distance in feet between the arch supports, at the point where each arch support enters the water. If the distance in feet between the arch supports is 60 feet, what is the height above water level of the arch support? 13.
Look at the equations. I.
4x = 3(2 + x)
II. 4
x = 2(2
III. 10 = 5(x IV. 16
x)
7)
3x = 3(2
14.
15.
I
B.
II
13 + 5 + 9 h + 3 4
11
B.
13 + 5 + 9 + h 3
11
1 2
C.
4h 13 + 5 + 9
D.
13 + 5 + 9 + h 4
11
1 2
17.
12 mi
B.
14 mi
C.
29 mi
D.
46 mi
C.
III
D.
IV
26
B.
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35
1 2
I.
II.
III.
IV.
The band is trying to raise money for new uniforms by holding a car wash. Their goal is to raise $1000. If they charge $15 per wash, what is the minimum number of cars they must wash? A.
11
Which of the following are right triangles?
To get to work, David drives 30 miles north, turns and drives 16 miles west. If he could drive in a straight line, how many miles could he save? A.
1 2
A.
x)
Which of the equations has no solution? A.
Myra is developing a new pumping system at an industrial site. She wants to verify that the machine she installed runs an average of 11 12 hours or less per week. The machine ran for 13 hours the rst week, 5 hours the second week, and 9 hours the third week. Which inequality will tell her the number of hours, h, the machine can run the fourth week and keep her average less than 11 21 hours?
C.
58
D.
67
page 3
A.
I only
B.
III only
C.
I and IV only
D.
I, II and IV
c 2016 EAS _
18.
Each pair of gures below can be used to prove the Pythagorean Theorem. Choose two of the pairs and explain how they prove the Pythagorean Theorem. You can use algebra, words or pictures in your explanation.
(1)
(2)
(3)
(4)
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c 2016 EAS _
19.
20.
A cylinder is cut from a rectangular prism as shown. To the nearest square centimeter, what is the surface area of the resulting solid? A.
485 cm2
B.
497 cm2
C.
522 cm2
D.
559 cm2
22.
Decide if each set of events is independent or dependent. Explain your answer. A) Bernie has 8 pennies, 3 nickels and a quarter in his pocket. He randomly chooses one coin and gives the coin to his younger brother. Then he randomly chooses another coin. B) Desiree spins a spinner. Then she spins the spinner again. C) Franklin takes a peach from a bowl of fruit and eats it. Then he takes an apple from the bowl of fruit. D) Clark rolls one die. Then he rolls the die again.
Tom sells handmade pottery. During the rst 6 months of his business, he adjusted the price of the pottery to nd the price that would maximize his pro t. As expected, he found that the lower the price, the more pottery he sold. Which scatterplot re ects his data? A.
B.
C.
23.
D.
Frank pays $3.00 to throw 6 balls into a basket. He gets $1.50 for each ball that lands in the basket. Which formula shows his net winnings, W, in terms of the number of thows that land in the basket, T?
21.
A spinner is divided into a black sector that has an angle measure of 135 and a white sector that has an angle measure of 225 . It is spun 100 times and lands on the black sector 50 times. What is the experimental probability of the spinner landing on the black sector? A.
0.5
B.
0.7
C.
0.25
D.
0.375
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page 5
A.
W = 3T + 1:5
C.
W=
1:5T 3
T 3
B.
W=
D.
W = 1:5T
1:5 3
c 2016 EAS _
24.
The scatterplot needs its line of best t to be adjusted. If the line shown has a slope of 87 , what should the slope be changed to in order to get the best- tting line?
25.
According to employees at the Regional Butter y Conservatory, the most commonly asked question is, “How many butter ies will land on me while I'm visiting the conservatory?” In order to give visitors a more accurate answer, 50 of the 2000 butter ies are tagged with identi ers and an employee is sent into the conservatory. Three di erent tagged butter ies land on the employee. Explain what employees can now tell visitors when they ask that same question, based on the ndings of their experiment.
A.
1
B.
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1 2
C.
2 3
D.
1
page 6
c 2016 EAS _
Problem-Attic Sample Document all items from Oklahoma (OAS) Math Database copyright (c) 2016 EducAide Software Pre-Algebra Num
Scoring
Objective
Answer
2
D
PA.N.1.1
4 3
1 3
B
PA.N.1.1
C
PA.N.1.3
5
C
PA.A.2.1
6
B
4
7 8 9
10 11
12
D B
D
PA.N.1.4
PA.A.2.4
22 = 4
[task] b 0 2 3 5
I and III
PA.A.2.1
y=
PA.A.2.3
B
PA.A.2.1
PA.A.2.3
PA.A.2.5 PA.A.3.1
103 km
6:30
1 2x
y = 2x
m $12.00 $11.30 $10.95 $10.25 +4 5
Two boxes of pencils cost $5.
[equation]; 105 calendars; yes, 245 calendars; $1.20 per calendar 26 feet
13
D
PA.A.4.1
IV
15
D
PA.A.4.2
16
D
PA.A.4.3
17
C
PA.GM.1.1
67 13 + 5 + 9 + h 4 I and IV only
19
D
PA.GM.2.2
559 cm2
21
A
PA.D.2.1
0.5
23
D
14
18
20
22 24 25
A
B
A
PA.GM.1.1
PA.GM.1.1
PA.D.1.3
PA.D.2.3
12 mi
1 2
[answers vary]
dependent; independent; dependent; independent
PA.A.1.2
W = 1:5T
PA.D.2.1
[answers vary]
PA.D.1.3
11
1
3
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Oklahoma Math Database — Algebra 1 Samples (New for OAS) 1.
2.
5.
Perform the indicated operations and the q write p p 1 answer as a single term: 2(3 + 2 ) 18
Choose the graph that solves the following system. x 4y = 2 3x + 2y = 6
Find the area of the shaded region shown in the picture.
A.
B.
A.
3x2
8x
5
B.
3x2
C.
3x2
5x
8
D.
3x2 + 8x + 5
5x + 8
C. 3.
If the operation @n is de ned as n2 + n, what is the value of @6?
4.
In the algebraic sequence shown, which expression can be used to nd the value of the term in the nth position? Position 1 2 3 4 5 6
D.
Value of term 2 5 4 5 6 5 8 5 10 5 12 5
6.
n A.
1 5n
B.
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2 3n
C.
2 5n
D.
1 3n
page 1
Troy's family traveled 360 miles. They drove 120 miles in the rst 2 hours and then stopped for an hour to eat. If the entire trip, including the stop, took seven hours, what was their average driving speed? A.
50 mph
B.
55 mph
C.
60 mph
D.
65 mph
c 2016 EAS _
7.
8.
9.
10.
A jogger observed children and dogs playing in a park. The jogger counted 12 heads and 30 legs. How many children and how many dogs were playing in the park? Show how you arrived at your answer.
Solve: 5x > 3(2
x) and 7
23 12
A.
3 8
B.
Plot these points to determine if they are collinear:
page 2
Solve the formula y2 = m(x2 y2 x2
x1 ) + y1 for m.
y1 x1
A.
m=
B.
m=
C.
m = y2 (x2
D.
m = y2
y2 x2
x1
(x2
y1 x1 ) x1 )
y1 y1
c 2016 EAS _
13.
14.
Simplify: (x2
8)(x3
7x2
2)
A.
x5
15x7 + 54x2 + 16
B.
x5
7x4
8x3 + 54x2 + 16
C.
x6
7x4
8x3 + 56x2
2x + 16
D.
x5
7x4
8x3 + 56x2
2x + 16
Lightning is an example of a fractal pattern—each split generates 2 new bolts.
a) Fill in the table for the total number of bolts for the rst 5 splits. Split Number
Total Number of bolts
0 1
1 3
2 7
3
4
5
b) Draw a diagram to represent the fth split. c) Construct a graph using the data from the table. Label and mark the axes.
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c 2016 EAS _
15.
Dave and Teri are friends who each work at a di erent pizza restaurant. The friends created the box-and-whisker plots to determine overlap between the number of customers served per hour at each restaurant. Prize Pizza (customers per hour)
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
!
Best Pizza (customers per hour)
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
!
The variability between the two data sets shows— A.
less overall variation in customers per hour at Prize Pizza.
B.
same overall variation in customers per hour at both restaurants.
C.
more interquartile variability in customers per hour at Prize Pizza.
D.
lower interquartile variability in customers per hour at Prize Pizza.
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page 4
c 2016 EAS _
At rst, a hiker climbed at a brisk pace. He took a break, climbed at a slower pace, then took a longer break. The last part of the climb was his slowest. Which graph illustrates the relationship?
A.
17.
What is the range of the graphed relation?
Height
16.
B.
Height
Time
C.
f 4; 3; 1; 0; 3g
B.
f 4; 3; 0; 2; 3g
C.
f 4; 1; 2; 4; 5g
D.
f 4; 3; 2; 1; 0; 1; 2; 3; 4; 5g
Height
Time
A.
Time
Height
D.
18.
The graph of a line is shown. Which of the following is the equation of the line that has half the slope and is shifted up two units?
Time
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page 5
1 6x
A.
y=
C.
y = 16 x + 1
2
1 6x
B.
y=
D.
y = 61 x
+1 2
c 2016 EAS _
19.
If F(x) = 4x A.
3 2
C.
2x
6 what is the value of F
6
B.
7 2x
D.
6
21.
7x ? 8
6 2x
Police sometimes use a Breathalyzer to determine if a person has been drinking. To check on its accuracy, the police do a study of how much alcohol remains in the blood after a certain period of time. The data is shown in the table. Time (hours) 0
Amount of alcohol in the blood (mg/dL) 243
0.5
209
1
203
1.5 20.
The scatterplot below shows the annual taxes versus the resale price of homes in the U.S.
167
2
152
3
125
2.5
151
a) Draw a scatterplot of the data. b) Describe the correlation shown by the data. c) Predict what will happen after 6 hours and after 12 hours.
22.
Based on the data, which of the following statements is true? A.
There is no correlation between taxes and resale price of homes.
B.
In general, the lower the taxes on the home, the higher the resale price.
C.
In general, the higher the taxes on the home, the higher the resale price.
D.
The data follows a negative linear pattern.
Candace is assigned 7 books to read over summer vacation. The order she reads them is not important.
Candace plans to read 2 of the books on her trip to Florida. How many di erent combinations of 2 books are possible? A.
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page 6
49
B.
35
C.
21
D.
18
c 2016 EAS _
23.
One aqua marble, two blue marbles and four copper marbles are in a bag. Without looking, Amanda picks a marble from the bag and notes its color. Without replacing the marble, she chooses a second marble at random and notes its color. The tree diagram represents all possible outcomes with the probability value on each branch.
24.
A tour guide books 8 passengers on her bus, which can only hold 7 passengers. However, 1 out of every 6 passengers cancels. The tour guide wants to determine the experimental probability of not overbooking and performs a simulation in order to do this. Which of the following simulation tool(s) could be used to determine this probability? I.
a die
II. six cards III. a random number generator IV. a coin V. a spinner
a) Find the values of x and y. A.
I and II only
1) two copper marbles were selected
B.
III and V only
2) at least one of the marbles was blue
C.
II, III and V only
3) one aqua marble and one copper marble were selected
D.
I, II, III and V only
b) Find the probability that
25.
A company sells boxes of caramel popcorn. For prizes, the company puts one of 10 di erent cartoon stickers in each box. Larissa wants to collect the stickers. Estimate how many boxes she would have to buy in order to get all 10. The above scenario was simulated by creating a spinner with 10 equal sections and labeling them with the numbers 1–10. The spinner was spun until each number appeared at least once. The spins were recorded and the process repeated for 10 trials. The table below shows the results. Trial Number of spins for each number to appear once
1
42
2
17
3
38
4
33
5
30
6
64
7
64
8
19
9
19
10
24
Based on the simulation, what is the average number of boxes Larissa needs to buy to collect all 10 stickers? What is the probability that Larissa collects all 10 stickers after buying fewer than 25 boxes?
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c 2016 EAS _
Problem-Attic Sample Document all items from Oklahoma (OAS) Math Database copyright (c) 2016 EducAide Software Algebra 1 Num
Scoring
Objective
Answer
2
A
A1.A.1.1
3x2
4
C
1 3
A1.N.1.2 A1.A.3.4 A1.A.3.5
5
A
6
C
A1.A.1.3
8
B
A1.A.2.2
A1.A.1.3
5
2 5n
60 mph
9 children and 3 dogs 3 0, A.
C
B.
B
A
C.
x ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? y
D
E
!
F
Use a calculator to nd the quadratic regression equation for the data points in the graph. Answer accurate to one decimal place.
D.
Note: Each horizontal and vertical line represents 1 unit.
22.
23.
Which pair of equations are inverses of each other? A.
f (x) =
p x
4 + 2; g(x) = (x
4)2
B.
f (x) =
p 3
x + 2; g(x) = (x
2)2 + 3
C.
p f (x) = 1
x
5; g(x) = (x + 5)2 + 1
D.
f (x) =
p x
2
1; g(x) = (x + 1)2 + 2
56.68
B.
35.96
C.
41.16
D.
36.08
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y = 0:4x2 + 0:4x + 4:9
B.
y = 0:5x2 + 1:9x + 4:8
C.
y = 1:1x2 + 0:9x + 4:7
D.
y = 1:0x2 + 1:9x + 5:7
2 25.
Suppose a set of data has a normal distribution with mean 37 and variance 16. What score has a percentile rank of 40.9%? A.
A.
Elaine thinks that the number of fth graders that have cell phones is declining. a) Based on the graph, do you agree or disagree with this statement? Explain your reasons? b) How does the graph misrepresent the data?
page 5
c 2016 EAS _
Problem-Attic Sample Document all items from Oklahoma (OAS) Math Database copyright (c) 2016 EducAide Software Algebra 2 Num
Scoring
Objective
Answer
2
A
A2.A.1.1
3x2
7x + 9 = 0 1.2 seconds i 35 2 3 8 2 16 4 7 7 45 12 6
1 3 4
A D
A2.N.1.2 A2.A.1.1
12 feet
5
B
A2.N.1.3
6
A
A2.N.1.3
7
D
A2.A.1.2
7.2 m; h 13 216 14 6 11 4 15 10 2,728
9
C
A2.A.1.6
7
8 10 11
12
D B
B
13 14
C
15
D
16 17
D
A2.A.1.1
2+i
A2.A.1.2
A2.A.1.7
A2.A.1.7
A2.A.1.8
16.8 years
341.25
0.96 m
A + S + T = 423 192 students; $526 8A + 5S + 5T = 2616 T = 13 S A2.A.2.1 (x 5)(x + 3); (x 5y)(x + 3y); (xy 5)(xy + 3); 5(x 2y(x 5)(x + 3) 2x + 3 A2.A.2.2 x+3 A2.A.2.3 f (x) = (x + 5)(x 3) p p p 3 p 13 3 2 10 4 x A2.A.2.4 2 5 1; 19 ; ; ; 5 6 5 x2 A2.F.1.2
re ected over the x-axis, translated left 2 and down 3
A2.F.1.4
[graph]; 62
18
A
20
A
21
B
A2.F.1.8
22
C
A2.F.2.3
f (x) =
A
A2.D.1.2
y = 0:4x2 + 0:4x + 4:9
19
23 24 25
D
5)(x + 3);
A2.F.1.3
A2.F.1.6
A2.D.1.1
A2.D.2.1
1 and 5
36.08
p
1
x
5; g(x) = (x + 5)2 + 1
The lines seem to point down but the scale on the vertical axis is backwards prediction is wrong
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