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Worksheets

Bridges UNIT 1 STUDY GUIDE

Total questions: 62

Worksheet time: 2hrs 3mins

Name
Class
Date
1.

Evaluate each expression below. a) (9 x 2) x 5 = _______

a)

90

b)

45

c)

100

d)

80

2.

Evaluate each expression below. b) 5 x (13 x 2) = _______

a)

130

b)

120

c)

150

d)

100

3.

Evaluate each expression below. c) (50 x 64) - (1 x 64) = _______

a)

3136

b)

3200

c)

3072

d)

2560

4.

Evaluate each expression below. d) 2 x (6 x 4) + 2 x (3 x 4) + 2 x (6 x 3) = _______

a)

120

b)

96

c)

108

d)

144

5.

Fill in the missing number in the equation below. ______ x 28 = 16 x 14

a)

8

b)

6

c)

10

d)

12

6.

You can use number relationships to fill in the blank without having to find the answer to 16 x 14 first. What strategy can you use?

a)

Break apart one of the numbers and use the distributive property

b)

Guess the answer and check if it fits

c)

Multiply the numbers in any order without breaking them apart

d)

Add the two numbers together instead of multiplying

7.

Write a numerical expression to represent this statement: To find 36 x 9, I find 36 times 10 and remove one group of 36. Do not solve.

a)

(36 x 10) - 36

b)

(36 x 10) + 36

c)

(36 x 9) - 10

d)

(36 x 9) + 36

8.

Write a numerical expression to represent this statement: To find the volume of a box that has a 15-unit by 24-unit base and 32 layers, I multiply the dimensions of the base first and then multiply by the number of layers. Do not solve.

a)

(15 x 24) x 32

b)

15 + 24 + 32

c)

(15 x 32) x 24

d)

15 x (24 + 32)

9.

Write and solve an equation to represent this statement: To find 25 x 16, I double and halve.

a)

25 x 16 = 50 x 8 = 400

b)

25 x 16 = 12.5 x 32 = 400

c)

25 x 16 = 25 x 8 = 200

d)

25 x 16 = 50 x 16 = 800

10.

Find the volume of each rectangular prism. Write and solve equations to show your thinking. Be sure to label the units.

a)

Equation: 6 x 2 x 2 = 24 cubic units

b)

Equation: 3 x 3 x 3 = 27 cubic units

c)

Equation: 3 x 5 x 5 = 75 cubic units

d)

Equation: 2 x 5 x 2 = 20 cubic units

11.

Find the volume of each rectangular prism. Write and solve equations to show your thinking. Be sure to label the units.

a)

Equation: (4 x 5) x 2 + (2 x 4) x 4 = 72 cubic units

b)

Equation: (3 x 4) x 5 = 60 cubic units

c)

Equation: (2 x 3) x 4 = 24 cubic units

d)

Equation: (4 x 4) x 3 + (2 x 2) x 7 = 48 cubic units

12.

Quinn counted the number of cubes on one layer of a rectangular prism and got 53. The rectangular prism has 6 layers. What is the volume of the rectangular prism in cubic units?

a)

318 cubic units

b)

312 cubic units

c)

306 cubic units

d)

326 cubic units

13.

Four friends made 57 cookies and shared them equally. How many cookies did each friend get?

a)

Expression: 57 ÷ 4 Answer: 14 remainder 1 (or 14 1/2 cookies each)

b)

Expression: 57 ÷ 4 Answer: 13 remainder 3 (or 13 cookies each, 3 left over)

c)

Expression: 57 ÷ 4 Answer: 15 remainder 2 (or 15 cookies each, 2 left over)

d)

Expression: 57 ÷ 4 Answer: 12 remainder 5 (or 12 cookies each, 5 left over)

14.

There are 77 kids in the After School Club. Tomorrow, they are going to the park. If each car can carry 5 kids, how many cars will they need to get to the park?

a)

16 cars (since 77 ÷ 5 = 15 remainder 2, they need 16 cars to fit all kids)

b)

15 cars

c)

14 cars

d)

13 cars

15.

Andrew paid $61.00 for 4 super sized pizzas. How much did each pizza cost?

a)

Expression: 61 ÷ 4 = $15.25

b)

Expression: 61 × 4 = $244

c)

Expression: 61 + 4 = $65

d)

Expression: 61 - 4 = $57

16.

Write a numerical expression to represent this statement: To find the volume of a box with a 12-unit by 10-unit base and 9 layers, multiply the base dimensions first, then multiply by the number of layers. Do not solve.

a)

(12 x 10) x 9

b)

12 + 10 + 9

c)

(12 x 9) x 10

d)

12 x (10 + 9)

17.

Six friends baked 95 muffins and shared them equally. How many muffins did each friend get?

a)

Expression: 95 ÷ 6
Answer: 13 remainder 5 (or 13 muffins each, 5 left over)

b)

Expression: 95 ÷ 6
Answer: 14 remainder 1 (or 14 muffins each, 1 left over)

c)

Expression: 95 ÷ 6
Answer: 16 remainder 3 (or 16 muffins each, 3 left over)

d)

Expression: 95 ÷ 6
Answer: 15 remainder 5 (or 15 5/6 muffins each)

18.

Write a numerical expression to represent this statement: To find 48 x 7, I find 48 times 10 and subtract three groups of 48. Do not solve.

a)

(48 x 10) - (3 x 48)

b)

(48 x 7) + 3

c)

(48 x 7) - 10

d)

(48 x 10) + (3 x 48)

19.

Write a numerical expression to represent this statement: To find the volume of a box with a 14-unit by 8-unit base and 5 layers, multiply the base dimensions first, then multiply by the number of layers. Do not solve.

a)

14 x (8 + 5)

b)

(14 x 8) x 5

c)

(14 x 5) x 8

d)

14 + 8 + 5

20.

Fill in the missing number in the equation below. ______ x 18 = 9 x 12

a)

9

b)

6

c)

8

d)

12

21.

Write a numerical expression to represent this statement: To find 27 x 8, I find 27 times 10 and subtract two groups of 27. Do not solve.

a)

(27 x 10) - (2 x 27)

b)

(27 x 8) + 2

c)

(27 x 10) + (2 x 27)

d)

(27 x 8) - 10

22.

Five friends collected 68 marbles and shared them equally. How many marbles did each friend get?

a)

Expression: 68 ÷ 5
Answer: 12 remainder 4 (or 12 marbles each, 4 left over)

b)

Expression: 68 ÷ 5
Answer: 15 remainder 1 (or 15 marbles each, 1 left over)

c)

Expression: 68 ÷ 5
Answer: 14 remainder 2 (or 14 marbles each, 2 left over)

d)

Expression: 68 ÷ 5
Answer: 13 remainder 3 (or 13 marbles each, 3 left over)

23.

Fill in the missing number in the equation below. ______ x 14 = 7 x 18

a)

8

b)

7

c)

6

d)

9

24.

Write a numerical expression to represent this statement: To find 42 x 8, I find 42 times 10 and subtract two groups of 42. Do not solve.

a)

(42 x 8) - 10

b)

(42 x 8) + 2

c)

(42 x 10) + (2 x 42)

d)

(42 x 10) - (2 x 42)

25.

Eight friends shared 123 candies equally. How many candies did each friend get?

a)

Expression: 123 ÷ 8
Answer: 14 remainder 7 (or 14 candies each, 7 left over)

b)

Expression: 123 ÷ 8
Answer: 15 remainder 3 (or 15 candies each, 3 left over)

c)

Expression: 123 ÷ 8
Answer: 16 remainder 5 (or 16 candies each, 5 left over)

d)

Expression: 123 ÷ 8
Answer: 13 remainder 4 (or 13 candies each, 4 left over)

26.

Fill in the missing number in the equation below. ______ x 14 = 7 x 18

a)

6

b)

8

c)

9

d)

7

27.

Write a numerical expression to represent this statement: To find 54 x 6, I find 54 times 10 and subtract four groups of 54. Do not solve.

a)

(54 x 6) + 4

b)

(54 x 10) - (4 x 54)

c)

(54 x 6) - 10

d)

(54 x 10) + (4 x 54)

28.

Fill in the missing number in the equation below. ______ x 18 = 9 x 24

a)

12

b)

6

c)

8

d)

10

29.

Six friends shared 95 stickers equally. How many stickers did each friend get?

a)

Expression: 95 ÷ 6
Answer: 13 remainder 5 (or 13 stickers each, 5 left over)

b)

Expression: 95 ÷ 6
Answer: 14 remainder 1 (or 14 stickers each, 1 left over)

c)

Expression: 95 ÷ 6
Answer: 16 remainder 3 (or 16 stickers each, 3 left over)

d)

Expression: 95 ÷ 6
Answer: 15 remainder 5 (or 15 stickers each, 5 left over)

30.

Write a numerical expression to represent this statement: To find 27 x 8, I find 27 times 10 and subtract two groups of 27. Do not solve.

a)

(27 x 10) - (2 x 27)

b)

(27 x 8) + 2

c)

(27 x 10) + (2 x 27)

d)

(27 x 8) - 10

31.

Seven friends shared 85 stickers equally. How many stickers did each friend get?

a)

Expression: 85 ÷ 7
Answer: 12 remainder 1 (or 12 stickers each, 1 left over)

b)

Expression: 85 ÷ 7
Answer: 13 remainder 6 (or 13 stickers each, 6 left over)

c)

Expression: 85 ÷ 7
Answer: 11 remainder 5 (or 11 stickers each, 5 left over)

d)

Expression: 85 ÷ 7
Answer: 10 remainder 3 (or 10 stickers each, 3 left over)

32.

Fill in the missing number in the equation below. ______ x 15 = 5 x 21

a)

5

b)

8

c)

6

d)

7

33.

Evaluate the expression below.

2 x (5 x 3) + 2 x (3 x 4) =

a)

19

b)

720

c)

60

d)

54

34.

Fill in the blanks to make the equation true.

18 x 12 = ___ x 24

a)

36

b)

2

c)

9

d)

10

35.

Fill in the blanks to make the equation true.

47 x 98 = (___ x 47) - (2 x 47)

a)

100

b)

97

c)

9

d)

99

36.

Use a multiplication strategy we have practiced in class to solve the problem below.

47 x 99 =

a)

446

b)

4,653

c)

4,950

d)

147

37.

Which numerical expression represents the statement: To find 16 x 15, I double and halve.

a)

8 x 15

b)

32 x 30

c)

(10 x 15) + (6 x 15)

d)

8 x 30

38.

Which equation shows many cubic units are in the rectangular prism?

a)

(4 x 3) x 3 = 12 x 3 = 36

b)

12 + 9 + 12 = 33

c)

(4 x 3) x 2 = 12 x 2 = 24

39.

Which numerical expression represent this statement: To find 27 x 9, I find 27 times 10 and remove 1 group of 27.

a)

(27 + 10) - (1 x 27)

b)

(27 x 10) - (1 x 27)

c)

27 x (10 - 1) x 27

d)

(27 x 10) + (1 x 27)

40.

Riley has a box that can hold baseballs. The first layer of the box can hold 34 balls. The box has 8 layers. How many balls can the box hold?

a)

42 balls

b)

116 balls

c)

272 balls

d)

322 balls

41.

What is the volume of this of the rectangular prism ?

a)

35 cubic units

b)

60 cubic units

c)

47 cubic units

42.
Evaluate:
5 x (14 x 2)
a)
140
b)
35
c)
70
43.

Fill in the blanks to make each set of equations true.
(99 x 497) + (1 x 497) = _____ x 497

a)
98
b)
100
c)
99
44.
___ x 28 = 16 x 14
a)
8
b)
16
c)
14
45.
True or False
(3 x 4) x 6 = 3 x (4 x 6)
a)
True
b)
False
46.
True or False
58 x 17 = (60 x 17) + (2 x 17)
a)
True
b)
False
47.
To find 15 x 18, I double and halve.
a)
15 x 9
b)
30 x 9
c)
7.5 x 9
48.
Which equation is correct?
To find 15 times 32, I multiply 10 times 32 and add it to 5 times 32. 
a)
(10 x 32) + (5 x 32) = 480
b)
(10 x 32) x (5 x 32) = 480
c)
15 + (5 x 32)
49.
There are 57 kids in the Kidstop program.  Tomorrow they are going to the zoo.  If each car can carry 4 kids, how many cars will the need to get there?
a)
14 cars
b)
15 cars
c)
16 cars
50.
6 x 80=
a)
480
b)
4,800
c)
4
d)
80
51.

There are 121 kids in the 5th grade going on a field trip. If each bus can fit 24 students, how many busses will they need to get to the park?

a)

4 busses

b)

6 busses

c)

5 r 1 busses

d)

5 busses

52.

Mrs. Brown paid $78 for 8 t-shirts. Hw much did each t-shirt cost?

a)

$10

b)

$9.00

c)

$9 3/4

d)

$9.75

53.

What are the formulas used to find the volume of a rectangular prism?

a)

V = L x W

b)

V = 1/2 x L x W

c)

V = L x W x H

d)

V = B x H

54.

Volume is measured in (a)   units.

55.

Find the volume of the prism.

a)

20 cu units

b)

160 cu units

c)

32 cu units

d)

17 cu units

56.

Which factor could you cut in half in this expression?

14 x 5

a)

14

b)

x

c)

5

57.

16 x 3 = 8 x 6

a)

true

b)

false

c)

I don't know

58.

5 x 18 = 5 x 9

a)

true

b)

false

c)

I don't know

59.

3 x 14 = 6 x 7

a)

true

b)

false

c)

Not enough information

60.

16 x 50 = 16 x 100

a)

true

b)

false

c)

none of the above

61.

34 x 50 = 17 x 100

a)

true

b)

false

c)

More information needed.

62.

Evaluate the expression: 5 × (14 × 2)

a)

70

b)

140

c)

280

d)

560