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1.1 - Study Guide - Number Sense and Equivalent Forms

Total questions: 63

Worksheet time: 3hrs 58mins

Name
Class
Date
1.

What is the Greatest Common Factor of 40 and 100?

a)

20

b)

10

c)

5

d)

1

2.

What is the GCF of 15 and 20?

a)

2

b)

0

c)

1

d)

5

3.

What is the Least Common Multiple of 3 and 13?

a)

13

b)

39

c)

26

d)

24

4.

What is the Least Common Multiple of 4 and 7?

a)

24

b)

49

c)

11

d)

28

5.

At Chick-Fil-A, the kitchen staff baked 36 chicken sandwiches and 108 spicy chicken strips. The staff had to prepare lunches for GDS. If each lunch will have the same number of sandwiches and strips, what is the greatest number of lunches they can make?

a)

36

b)

9

c)

12

d)

16

6.

Maya had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?

a)
4
b)
2
c)
48
d)
8
7.

If Maria runs every third day and swims every fifth day, what is the first day that she will both run and swim again? 

a)
5
b)
15
c)
45
d)
30
8.

Two trains at a station have a different schedule. Train A leaves every 7 minutes and Train B leaves every 9 minutes. How many minutes will pass before they leave at the exact same time?

a)

45 minutes

b)

54 minutes

c)

72 minutes

d)

63 minutes

9.

Simplify the fraction
1520\frac{15}{20}

a)

510\frac{5}{10}

b)

34\frac{3}{4}

c)

23\frac{2}{3}

d)

15\frac{1}{5}

10.

Simplify 416\frac{4}{16} to lowest terms.

a)

416\frac{4}{16}

b)

28\frac{2}{8}

c)

14\frac{1}{4}

d)

4

11.

Use the Distributive Property to write an equivalent expression:

2(4+3)2\left(4+3\right)  

a)

8 + 3

b)

6 + 3

c)

8 + 6

d)

6 + 6

12.

Which expression is equivalent to:

2(1+2)2\left(1+2\right)  

a)

2 + 2

b)

2 + 4

c)

3 + 4

d)

1 + 4

13.

Select all the expressions that have the same value as 20 + 80

a)

5(2+16)

b)

2(10+40)

c)

20(1+4)

d)

10(2+4)

e)

4(5+20)

14.

Change 16/50 to a decimal.

a)

.32

b)

3.125

c)

.48

d)

.16

15.

Change 3/4 to a decimal.

a)

1.3333...

b)

.75

c)

.43

d)

.34

16.

Convert to a decimal

a)

2.2

b)

1.8

c)

1.4

d)

0.8

17.

Convert to a decimal

a)

1.5

b)

10.5

c)

5.5

d)

11.5

18.
Convert 175% into a decimal number.
a)
.18
b)
.175
c)
1.75
d)
.0175
19.

What is 62% as a decimal?

a)

6.2

b)

0.062

c)

0.62

20.

Change this fraction to a decimal

194\frac{19}{4}  

(a)  

21.

Convert 1320\frac{13}{20}  into a percentage.

a)

13%

b)

60%

c)

65%

d)

0.13

22.

Select all the values that are equivalent to 42.15

a)

421510042\frac{15}{100}

b)

42151000\frac{4215}{1000}

c)

4215100\frac{4215}{100}

d)

4,215%4,215\%

e)

421.5%421.5\%

23.

Select all the values that are equivalent to 1.05

a)

10.5%10.5\%

b)

105%105\%

c)

105100\frac{105}{100}

d)

10510\frac{105}{10}

e)

11201\frac{1}{20}

24.

At McDonald's, the kitchen staff cooked 48 beef burgers and 144 chicken nuggets. The staff had to prepare meals for a school event. If each meal will have the same number of burgers and nuggets, what is the greatest number of meals they can make?

a)

48

b)

12

c)

16

d)

24

25.

Select all the values that are equivalent to 52.25

a)

522510052\frac{25}{100}

b)

52251000\frac{5225}{1000}

c)

5225100\frac{5225}{100}

d)

5,225%5,225\%

e)

522.5%522.5\%

26.

Select all the expressions that have the same value as 30 + 70

a)

10(3+7)

b)

5(6+14)

c)

20(2+3)

d)

4(10+15)

e)

2(15+35)

27.

Select all the expressions that have the same value as 40 + 60

a)

10(4+6)

b)

5(8+12)

c)

20(3+2)

d)

4(15+10)

e)

2(20+30)

28.

Two buses at a terminal have a different schedule. Bus X departs every 8 minutes and Bus Y departs every 10 minutes. How many minutes will pass before they both depart at the exact same time?

a)

40 minutes

b)

80 minutes

c)

60 minutes

d)

50 minutes

29.

What is 45% as a decimal?

a)

4.5

b)

0.045

c)

0.45

30.

If John cycles every fourth day and jogs every sixth day, what is the first day that he will both cycle and jog again? 

a)

6

b)

12

c)

24

d)

18

31.

1/12

a)

0.12

b)

0.83̅3

c)

12%

d)

8.3%

32.

4/5

a)

0.80

b)

0.8

c)

0.45

d)

80%

33.

2/3

a)

0.23

b)

23%

c)

0.66̅6

d)

66.̅6 %

34.

1/2

a)

0.12

b)

0.50

c)

0.5

d)

50%

35.

1/3

a)

0.13

b)

33.3̅%

c)

0.333̅

d)

13%

36.

1/5

a)

0.15

b)

0.20

c)

15%

d)

20%

37.

3/4

a)

0.34

b)

0.75

c)

34%

d)

75%

38.

3/5

a)

0.35

b)

0.60

c)

35%

d)

60%

39.

1/4

a)

0.14

b)

0.25

c)

14%

d)

25%

40.

2/5

a)

0.25

b)

0.40

c)

25%

d)

40%

41.

1/6

a)

0.016

b)

0.16̅6

c)

16%

d)

6%

42.

1/10

a)

10

b)

0.1

c)

0.10

d)

10%

43.

1/8

a)

0.18

b)

0.125

c)

12.5%

d)

8%

44.

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of ___?

a)

20

b)

50

c)

3.14

d)

100

45.

To convert from a percent to a decimal we divide by 100 or move the decimal two places to the ​ ​ (a)  

Choose from the below words
left
up
down
right
46.

What is 78% written as a decimal?

a)

0.78

b)

7.8

c)

7.80

d)

0.078

47.

Write 34\frac{3}{4}  as a decimal.

a)

3.4

b)

0.34

c)

0.75

d)

0.075

48.

Express 0.86 as a percent.

a)

8.6%

b)

86%

c)

8%

d)

.86%

49.

Convert 0.09 to a percent.

a)

90%

b)

9/100

c)

9

d)

9%

50.

Express 7% as a decimal.

a)

0.7

b)

0.75

c)

7/100

d)

0.07

51.

Convert 33% to a decimal.

a)

3.3

b)

0.33

c)

33/100

d)

0,033

52.

Write 75% as a decimal.

a)

0.75

b)

0.00075

c)

7.5

d)

75100\frac{75}{100}

53.

Write 50% as a fraction.

a)

510\frac{5}{10}

b)

12\frac{1}{2}

c)

50100\frac{50}{100}

d)

All are correct

e)

None are correct

54.

Match the following fractions to there percentages.

a)

310\frac{3}{10}

1.

30%

b)

14\frac{1}{4}

2.

25%

c)

13\frac{1}{3}

3.

33%

d)

15\frac{1}{5}

4.

20%

e)

23\frac{2}{3}

5.

67%

55.

If Johnny gets 17 out of 18 on his quiz what percentage grade does her recieve?

a)

92%

b)

94%

c)

96%

d)

98%

56.
1/3 = 
a)
13%
b)
11%
c)
33%
d)
66%
57.
Change 56% to a decimal
a)
.56
b)
56
c)
5.6
d)
.056
58.

What is 0.7 as a fraction in simplest form?

a)

70/100

b)

7/10

c)

1/7

59.

Match the following models with the PERCENTS that they represent.

a)
1.

100%

b)
2.

75%

c)
3.

1%

d)
4.

50%

e)
5.

17%

60.
If a sale has a shirt 1/4 off the original price, what discount is that as a decimal? 
a)
0.27
b)
0.25
c)
0.23
d)
0.20
61.
Convert 0.92 to a percent?
a)
9.2%
b)
92%
62.
Write 0.14 as a percent.
a)
1.4%
b)
140%
c)
14%
d)
0.14%
63.
Express 2/5 as a decimal.
a)
0.2
b)
0.4
c)
0.5
d)
0.7