Operations and Algebraic Thinking
1. Which expression, when simplified, is equal to 36?
a) (54 ÷ 6) – 3 x 2
c) 54 ÷ (6 – 3) x 2
b) 54 ÷ 6 – (3 x 2)
d) (54 ÷ 6 – 3) x 2
2. What is the value of the expression?
(8.2 + 3) ÷ 4
a) 2.215
c) 3
b) 2.8
d) 2.3
3. Which expression represents multiplying twice the difference of 9 and 7?
a) 2 ∙ (9 – 7)
c) (2 ∙ 9) – 7
b) 2 ∙ (9 + 7)
d) 2 + (9 – 7)
4. Describe the relationship between the
corresponding pairs in the two
patterns.
a) The terms in the add 15 pattern are 3 times less than the corresponding terms in the
add 5 pattern.
b) The terms in the add 15 pattern are 3 times as great as the corresponding terms in the
add 5 pattern.
c) The terms in the add 15 pattern are 3 more than the corresponding terms in the add 5
pattern.
d) The terms in the add 5 pattern are 3 times as great as the corresponding terms in the
add 15 pattern.
5. Which of the following correctly lists
the next four terms to complete the
table to the right?
Add 3
3
6
9
12
15
Add 12
9
18
27
36
45
Add 3
3
4
5
6
7
Add 12
12
13
14
15
16
Add 3
3
6
9
12
15
Add 12
15
18
21
24
27
Add 3
3
6
9
12
15
Add 12
12
24
36
48
60
a)
b)
c)
d)
Number and Operations in Base Ten
6. In which of the following numbers is the digit 3 ten times the value of the digit 3 in
9.431?
a) 9.327
c) 0.173
b) 3.405
d) 4.136
7. After twenty rounds of a computer game, Henry’s score was 104. How many points
does Henry have?
a) 104 = 10 x 4 = 40 points
b) 104 = 10 + 10 + 10 + 10 = 40 points
c) 104 = 10 x 10 x 10 x 10 = 10,000 points
d) 104 = 10 x 10 x 10 x 10 = 100,000 points
8. Which of the following correctly shows 189.56 in expanded form?
a) 100 + 90 + 8 + 0.5 + 0.6
b) 100 + 80 + 9 + 0.5 + 0.06
c) 100 + 80 + 90 + 0.05 + 0.006
d) 100 + 90 + 9 + 0.5 + 0.06
9. Choose the symbol that compares the numbers correctly.
a) 12.2
+ 12.25
c) 12.2 = 12.25
b) 12.2
<
d) 12.2 > 12.25
12.25
10. Miko downloaded a song in 6.456 seconds. How long did it take to download the
song rounded to the nearest tenth of a second?
a) 6.4 seconds
c) 6.5 seconds
b) 6.556 seconds
d) 6.0 seconds
11. Carnie made 35 copies of a 12-page storybook. How many pages did Carnie
copy in all?
a) 105 copies
c) 47 copies
b) 23 copies
d) 420 copies
12. It costs $336 to buy student tickets to a play. If each ticket costs $12, how many
students attend the play?
a) 28 students
c) 324 students
b) 4,032 students
d) 26 students
13. A company donates 3,240 cans of dog food equally to 9 shelters. How many cans
of dog food does each shelter get? Choose the correct equation and answer.
a) 3,240 – 9 = 3,231 cans
c) 9 ÷ 3,240 = 360 cans
b) 3,240 x 9 = 29,160 cans
d) 3,240 ÷ 9 = 360 cans
14. The heights of two sunflowers are 3.26 meters and 1.8 meters. What is the
difference in the heights?
a) 2.66 m
c) 5.06 m
b) 1.46 m
d) 2.46 m
15. Lourdes paid $11.70 for some tubes of paint. She paid $0.65 for each tube. How
many tubes of paint did Lourdes buy?
a) 11 tubes
c) 18 tubes
b) 7 tubes
d) 17 tubes
Number and Operations – Fractions
3
2
16. Nelson needs 3 cups of flour to make a loaf of bread and 2 cups of flour to make pretzels. How
4
3
many cups of flour does Nelson need in all?
a) 5 cups
5
c) 1
1
cups
5
d) 6
5
cups
b) 5
7
12
12
cups
12
17. Ruben is making pasta sauce. He uses
1
2
teaspoon of thyme,
3
4
teaspoon of oregano, and
teaspoon of basil. Which equation and solution can be used to correctly show how many
teaspoons of spices Ruben used?
a)
1
+ + =
b)
1
+ +
4
2
1
3
3
7
2
4
8
8
=
9
8
1
= 1 teaspoons
11
14
8
teaspoons
c)
1
+ + = 2 teaspoons
d)
7
–
2
8
3
4
1
2
7
8
3
1
8
= teaspoons
8
7
8
5
18. Two kittens weigh a total of
8
pound. If one kitten weighs
1
4
pound, which equation and solution
can be used to correctly find the weight of the other kitten?
a) w =
b) w =
c) w =
d) w =
5
8
5
8
5
8
5
8
1
– =
4
1
3
8
pound
7
+ = pound
4
1
8
4
– = = 1 pound
4
1
4
6
+ = pound
4
8
19. The sidewalk in front of a store has an area of 33 feet and a length of 12 feet. What is the width
of the sidewalk?
a) 33 – 12 = w; w = 21 ft.
b) 33 x 12 = w; w = 396 ft.
c) 33 + 12 = w; w = 45 ft.
d) 33 ÷ 12 = w; w = 2
9
12
ft.
20. Four friends share 2 apples. What fraction of an apple does each friend get? Use the model to
help solve the problem?
a)
1
c)
b)
1
d) 1
4
2
21. Natalie has 3 calendars. She gives
2
3
2
8
of the calendars to friends. Which equation and solution
can be used to correctly find how many calendars Natalie gives to her friends?
a) 3 +
2
= 3 calendars
b) 3 x
2
=
3
3
6
9
2
c) 3 ÷
2
=3x
3
=
calendars
d) 3 x
2
=
2
2
+
3
3
3
3
+
2
3
9
= 4 calendars
2
=
2
3
1
6
3
2
= 2 calendars
1
22. A rectangular address label is 2 inches long and
2
label?
3
4
inch wide. What is the area of the address
3
c) 1 square inches
7
1
d) 1 square inches
a) 3 square inches
4
8
3
b) 3 square inches
4
4
2
23. A rectangular garden has a width of 2 yards. The length of the garden is 2 yards. What is the
3
area?
2
c) 4 square yards
square yards
d) 5 square yards
a) 4 square yards
b)
2
3
3
1
3
24. Marty did 24 chin-ups. Elise did
5
8
as many chin-ups as Marty. Predict whether Elise did more or
fewer chin-ups than Marty. Then find the number of chin-ups Elise did.
a) fewer; 19 chin-ups
c) more; 120 chin-ups
b) fewer; 15 chin-ups
d) more; 29 chin-ups
25. Kerry spent 2 hours painting her room. Tim spent
3
4
as much time painting as Kerry
did. Did Tim spend more or less time painting than Kerrie?
a) Less; because
3
4
hour is less than 2 hours
b) Greater; because 2 is greater than
c) Greater; because
d) Less; because
3
4
3
4
3
3
4
+ 2 = 2 , which is greater than 2
4
is less than 1 whole, so 2 •
3
4
is less than 2
26. A farmer harvests
1
a) 3 acres
2
3
1
of 3 acres of cotton. How many acres does the farmer harvest?
2
2
5
b) 2 acres
6
1
c) 2 acres
3
1
d) 4 acres
6
27. Which situation represents
1
4
÷ 3?
a) Nancy has 3 apples. She cuts each apple into
she have?
b) James and two friends equally shared
sandwich does each person get?
c) Shane and his 3 friends each eat
1
4
1
4
28. Darien has
1
2
1
4
yards of ribbon to make 1 bow. How many
jar of pepper sauce she wants to use for 2 recipes. What fraction of the jar can she
a)
1
c)
1
b)
8
d)
1
8
pieces. How many apple pieces does
of a submarine sandwhich. How much of the
use for each recipe?
8
4
of a pizza. How much pizza do they eat in all?
d) Molly has 3 yards of ribbon. She needs
bows can she make?
1
1
4
29. Bret cuts a 3-foot dowel into
a) 9
b)
30. Tori uses
1
3
1
4
c) 6
d) 3
9
1
foot pieces. How many pieces does he cut?
yard of fabric to make an eyeglass case. She has 3 yards of fabric. Which equation
can be used to find how many cases she can make using the 3 yards of fabric?
a) x =
1
4
÷3
b) x = 3 ÷
1
4
c) x =
1
4
x3
d) x = 3 –
1
4
Measurement and Data
31. Mr. Bates needs 4 yards of green felt for some science projects. He needs 2 feet less than twice
that amount of blue felt. How many feet of blue felt does he need?
a) 22 feet
c) 8 feet
b) 10 feet
d) 24 feet
32. A basketball has a mass of 600 grams. If the basketball coach orders 12 basketballs, what is the
total mass of the basketballs in kilograms?
a) 7.2 kg
c) 720 kg
b) 7200 kg
d) 72 kg
Use the line plot to answer questions #33-34.
33. This line plot shows the weights of packages sent from
Gilbert’s online store last week. What is the total
number of packages sent?
a) 5
b) 8
c) 15
d) 10
34. What is the difference in weight between the heaviest package and the lightest
package?
a) 1
1
c) 1
b) 1
7
d)
4
8
1
7
8
8
35. This solid figure contains 20 unit cubes without gaps or
overlaps. What is the volume of the figure in cubic units?
a) 10 cubic units
b) 20 cubic units
c) 24 cubic units
d) 14 cubic units
36. Each unit cube in the rectangular prism is one cubic
centimeter. Find the number of unit cubes in the prism.
a) 12 unit cubes
b) 20 unit cubes
c) 33 unit cubes
d) 36 unit cubes
37. What is the volume of the prism in cubic units?
a) 60 cubic units
b) 72 cubic units
c) 12 cubic units
d) 48 cubic units
38. A planter in the shape of a rectangular prism is 4 feet wide, 4 feet long, and 3 feet deep. What is
the volume of the planter? Choose the correct formula to write an equation and solve the
problem.
a) 4 x 4 x 3 = 48 cubic feet
b) 4 x 4 = 16 cubic feet
c) 4 x 4 x 4 = 64 cubic feet
d) 4 + 4 + 3 = 11 cubic feet
39. Which equation can be used to find the correct volume of the figure?
a) 15 x (8 + 7) = 225 m3
b) 15 x 8 + 7 = 127 m3
c) (15 x 8) x 7 = 840 m3
d) 15 x (15 + 8 + 7) = 450 m3
40. What is the volume of this figure?
a) 166 in3
b) 74 in3
c) 438 in3
d) 522 in3
Geometry
41. What ordered pair represents the
location of point A?
a)
(7, 9)
b)
(9, 9)
c)
(9, 7)
d)
(7, 7)
42. Which point is located at (2, 8)?
a) Q
b) Z
c) K
d) S
43. What ordered pair is described below?
Start at the origin and move 2 spaces to the right and 4 spaces up.
a) (2, 2)
b) (2, 4)
c) (4, 2)
d) (4, 4)
Amount of Snowfall
44. The graph represents the amount of snowfall
received during a storm. How much
snow had fallen after 3
a) 4 cm
1
2
hours?
b) 12 cm
c) 16 cm
d) 14 cm
45. The graph represents the miles Lina walks
each hour. How long does it take her to walk
10 miles?
a) 2 hours
b) 2.5 hours
c) 3 hours
d) 12 hours
46. What is the perimeter of rectangle WXYZ?
a) 32 units
b) 33 units
c) 28 units
d) 22 units
47. Which figures always have two pairs of parallel sides?
a) quadrilateral, trapezoid, square, rhombus
b) parallelogram, rectangle, square, rhombus
c) square, rhombus, parallelogram, trapezoid
d) quadrilateral, parallelogram, rhombus, trapezoid
48. Which of the following explains why a square is a rhombus?
a) 4 right angles, 2 pairs of parallel sides, and 4 congruent sides
b) 4 congruent sides, 2 pairs of opposite sides parallel
c) 1 pair of opposite sides parallel
d) 2 pairs of opposite sides parallel
49. Which names correctly describe this polygon?
a) parallelogram and trapezoid
b) quadrilateral and rhombus
c) rectangle and rhombus
d) quadrilateral and trapezoid
50. Which of the following correctly describes this polygon?
a) acute, isosceles triangle
b) acute, scalene triangle
c) acute, equilateral triangle
d) obtuse, isosceles triangle