Free Printable End of term 1 Revision Grade 7

1.

Which of the following in not a perfect square?

a)

49

b)

81

c)

111

d)

144

2.

Evaluate $\sqrt{36}$ .

a)

6

b)

-9

c)

18

d)

-18

3.

√121

a)

12

b)

10

c)

11

d)

3

4.

√1

a)

2

b)

1

c)

10

d)

11

5.

what is the value of 4²?

a)

16

b)

8

c)

4

d)

25

6.

Express b² in expanded form

a)

b+b

b)

b+b+b

c)

b×b

d)

2×b

7.

√ 144

a)

4

b)

12

c)

16

d)

32

8.

Simplify:

3x + 2x

a)

5x

b)

x

c)

6x

d)

5

9.

Combine like terms:

3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

10.

Simplify 2m⁴• 5m²

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

11.

Express the number appearing the following statement in standard form:
'The diameter of the sun is 1,400,000,000 m

a)

1.4 × 10⁹

b)

1.4 × 10¹⁰

c)

14 × 10⁹

d)

14 × 10¹⁰

12.

a)

9

b)

3

c)

6

d)

0

13.

-12(x - 1) = -3(x - 1)

a)

10

b)

1

c)

14

d)

23

14.

Solve:

5y + 34 = -2(-7y + 1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

15.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

16.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10^-4

c)

-5 x 10⁴

d)

5 x 10^-3

17.

UNDERSTANDING

If the exponent is a negative number...

a)

you will get a large number

b)

you will get a small number

c)

you will get a negative number

18.

(3c²)(10c⁷)

a)

13c⁹

b)

30c⁵

c)

30c⁹

d)

-30c⁹

19.

Simplify the following expression.
2c³ + 8c³

a)

10c⁶

b)

10c⁹

c)

10c³

d)

10 + c³

20.

Simplify (-9)⁰

a)

-9

b)

-1

c)

1

d)

9

21.

Simplify 4^-2

a)

-16

b)

-8

c)

1/8

d)

1/16

22.

-12(x - 1) = -3(x - 1)

a)

10

b)

1

c)

14

d)

23

23.

Solve:

5y + 34 = -2(-7y + 1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

24.

Write $0.03$ as a fraction in its simplest form

a)

$\frac{3}{100}$

b)

$\frac{3}{10}$

c)

$\frac{3}{1000}$

d)

$0.75$

25.

Write $\frac{1}{4}$ as a decimal.

a)

$0.75$

b)

$0.25$

c)

$4$

d)

$0.4$

26.

Solve for k:
3k + 5 = 23

a)

k = 4

b)

k = 5

c)

k = 6

d)

k = 7

27.

A square has an area of 9. What is its side length?

a)

3

b)

81

c)

18

d)

90

28.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

9 cm

d)

9 cm

29.

The √20 is between which two consecutive integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

30.

Between which two consecutive whole numbers is the√200?

a)

13 and 14

b)

15 and 16

c)

14 and 15

d)

11 and 12

31.

x² = 121
What does x equal?

a)

11²

b)

11 and -11

c)

20 and 11

d)

12 and 1

32.

What is the square root of 289?

a)

13

b)

140

c)

17

d)

18

33.

Which number has a square root that is between 7 and 8?

a)

48

b)

81

c)

60

d)

36

34.

125

a)

Is a perfect square.

b)

Is not a perfect square.

35.

x² = 225

a)

5,-5

b)

15

c)

-15,15

d)

-5

36.

1 is a perfect square and perfect cube

a)

TRUE

b)

FALSE

37.

Find the volume of a cube if its length is 3cm

a)

$9cm^3$

b)

$27cm^3$

38.

$y^3=125$
Find the value of y

a)

5

b)

15

c)

20

d)

25

39.

$10\times10\times10=10^x$
Find the value of x

a)

3

b)

10

40.

What is the cube root of 8?

a)

4

b)

2

c)

-2

d)

-4

41.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

42.

∛125

a)

5

b)

4

c)

6

d)

7

43.

What is 2 cubed?

2³

a)

8

b)

6

c)

4

d)

16

44.

$\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?$

a)

$\frac{8}{27}$

b)

$\frac{8}{9}$

c)

$\frac{4}{9}$

d)

$\frac{4}{3}$

45.

$^3\sqrt{-8}$ =

a)

2

b)

-2

c)

±2

d)

None

46.

$^3\sqrt{8}=$

a)

2

b)

-2

c)

±2

d)

None

47.

Estimate the square root.

a)

3

b)

4

c)

5

d)

6

48.

Estimate the square root.

a)

4

b)

5

c)

6

d)

7

49.

9y+8=9y-8

a)

No Solution

b)

One Solution

c)

Infinite Solution

50.

-10y-6 = -10y-6

a)

No Solution

b)

One Solution

c)

Infinite Solutions

51.

3(x-8)=3x-24

a)

No Solution

b)

One Solution

c)

Infinite Solutions

52.

6(m+3)=2(m+5)

a)

No solution

b)

One Solution

c)

Infinite Solutions

53.

2(m+3)=2m+12

a)

No Solution

b)

One Solution

c)

Infinite Solutions

54.

5y-15=5(y-2)

a)

No Solution

b)

One Solution

c)

Infinite Solutions

55.

12(y+2)=6(2y+4)

a)

No Solution

b)

One Solution

c)

Infinite Solutions

56.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

57.

Do the ratios form a proportion?

a)

Yes, they form a proportion.

b)

No, they do not form a proportion.

58.

Name the constant of proportionality.

a)

20

b)

40

c)

16

d)

35

59.

Name the constant of proportionality.

a)

8

b)

16

c)

6

d)

3

60.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

61.

What is the constant of proportionality?

a)

$3

b)

$4

c)

$2

d)

$9

62.

Which rate of change represents the graph shown?

a)

80 mile per hour

b)

2 hours per mile

c)

40 miles per hour

d)

60 miles per hour

63.

Name the constant of proportionality.

a)

20

b)

40

c)

16

d)

35

64.

Which statement is the correct unit rate?

a)

5 seconds per foot

b)

5 feet per second

c)

2.5 seconds per foot

d)

2.5 feet per second

65.

Which statement best describes the unit rate?

a)

50 cm per second

b)

300 cm per second

c)

1 cm per second

d)

25 cm per second

66.

Is the graph proportional or non proportional?

a)

Yes

b)

No

67.

What is k in this proportional relationship?

a)

60

b)

120

c)

1

d)

180

68.

Which statement matches the graph?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

69.

What is the equation for the graph?

a)

y=½x

b)

y=2x

c)

x=2y

d)

x=½y

70.

Which equation matches the constant of proportionality?

a)

x = y

b)

y = x

c)

y = kx

d)

l x w

71.

Write the answer in scientific notation.
5 x 10⁸ - 3.4 x 10⁸ =

a)

2.4 x 10⁸

b)

2.4 x 10⁰

c)

1.6 x 10⁰

d)

1.6 x 10⁸

72.

Write the answer in scientific notation.
4.1 x 10⁵ + 5.5 x 10⁶ =

a)

5.91 x 10⁶

b)

9.6 x 10⁵

c)

9.6 x 10¹¹

d)

4.65 x 10⁵

73.

Solve:
(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

74.

Solve:
(2.1×10²) × (3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

5.1 x 10⁶

d)

6.3 x 10⁸

75.

Add using scientific notation.
(5.2 x 10⁷) + (3.01 x 10⁴)

a)

8.01 x 10¹¹

b)

8.01 x 10⁷

c)

5.20301 x 10⁷

d)

5.20301 x 10⁸

76.

Find the difference
(3.8 x 10⁴) - (2 x 10³)

a)

1.8 x 10⁴

b)

1.8 x 10¹

c)

3.6 x 10¹

d)

3.6 x 10⁴

77.

Estimate the square root.

a)

4

b)

5

c)

6

d)

7

78.

In between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

79.

√21 falls between what two consecutive perfect squares?

a)

√9 and √16

b)

√16 and √25

c)

√25 and √36

d)

^{√64 and √81}

80.

Compare with <, >, and =.

2.5 ______ √8

a)

<

b)

>

c)

=

81.

Compare with <, >, or =.

√64 ______ 8

a)

<

b)

>

c)

=

82.

a)

3/10

b)

1/3

c)

1/9

d)

30/99

83.

a)

7/50

b)

14/9

c)

7/45

d)

14/99

84.

a)

77/25

b)

77/250

c)

308/9

d)

308/999

85.

a)

2 23/100

b)

2 23/10

c)

2 23/9

d)

2 23/99

86.

a)

1 8/9

b)

17/90

c)

17/100

d)

1 18/99

87.

Write 0.222... as a fraction.

a)

2/10

b)

2/9

c)

1/5

d)

2/99

End of term 1 Revision Grade 7

Total questions: 87

Worksheet time: 3hrs 16mins

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