Free Printable Grade 7 End of Term 1 Revision 2022-2023

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.

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

a)

3

b)

81

c)

18

d)

90

9.

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

10.

The √20 is between which two consecutive integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

11.

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

12.

What is the square root of 289?

a)

13

b)

140

c)

17

d)

18

13.

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

a)

48

b)

81

c)

60

d)

36

14.

125

a)

Is a perfect square.

b)

Is not a perfect square.

15.

1 is a perfect square and perfect cube

a)

TRUE

b)

FALSE

16.

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

a)

$9cm^3$

b)

$27cm^3$

17.

What is the cube root of 8?

a)

4

b)

2

c)

-2

d)

-4

18.

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

a)

64

b)

27

c)

81

d)

16

19.

∛125

a)

5

b)

4

c)

6

d)

7

20.

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

a)

$\frac{8}{27}$

b)

$\frac{8}{9}$

c)

$\frac{4}{9}$

d)

$\frac{4}{3}$

21.

$^3\sqrt{-8}$ =

a)

2

b)

-2

c)

±2

d)

None

22.

$^3\sqrt{8}=$

a)

2

b)

-2

c)

±2

d)

None

23.

Estimate the square root.

a)

3

b)

4

c)

5

d)

6

24.

Estimate the square root.

a)

4

b)

5

c)

6

d)

7

25.

Estimate the square root.

a)

4

b)

5

c)

6

d)

7

26.

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

27.

√21 falls between what two consecutive perfect squares?

a)

√9 and √16

b)

√16 and √25

c)

√25 and √36

d)

^{√64 and √81}

28.

Compare with <, >, and =.

2.5 ______ √8

a)

<

b)

>

c)

=

29.

Compare with <, >, or =.

√64 ______ 8

a)

<

b)

>

c)

=

30.

$9^2=18$ True or false?

a)

True

b)

False

31.

A cube with side length s has a volume of 64 cubic units. What is the length of one side?

a)

4

b)

8

c)

16

d)

32

32.

The inverse operation for SQUARING a number is finding the CUBE root?

a)

true

b)

false

33.

100 is a ____________

a)

Perfect Square

b)

Perfect Cube

c)

Both

d)

Neither

34.

Cubing a number means multiplying a number by itself 3 times.

a)

True

b)

False

35.

What is the cube root of 1000?

a)

10

b)

100

c)

500

d)

20

36.

The area of a square painting is 81 cm². What is the side length of the painting?

a)

40.5 cm

b)

162 cm

c)

6,561 cm

d)

9 cm

37.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

38.

To find the square root of a number, you must divide it by 2.

a)

True

b)

False

39.

Cube Roots are the opposite of:

a)

Square Roots

b)

Cubing

c)

Squaring

d)

Multiplying

40.

What is the cube root of 216?

a)

6

b)

8

c)

21

d)

7

41.

The area of a square is 117 square meters. Which best represents the length of a side of the square?

a)

10.8 m

b)

11 m

c)

10 m

d)

11.2 m

42.

Mr. Jarowski is hanging a square picture frame that has ab area of 169 cm². Find the side length of the frame.

a)

12 cm

b)

13 cm

c)

13 in

d)

16 cm

43.

Which of these is an example of a rational number?

a)

√4

b)

√5

c)

√3

d)

√2

44.

Which of these is an example of an irrational number?

a)

√2

b)

√1

c)

√9

d)

√25

45.

Select the irrational numbers

a)

$\sqrt{50}$

b)

2

c)

$\pi$

d)

2.3454128904

46.

a)

7 and 8

b)

8 and 9

c)

17 and 18

d)

35 and 36

47.

Which number is between 7 and 8?

a)

√7

b)

√42

c)

√59

d)

√68

48.

The √98 falls between what two numbers on a number line?

a)

10 and 11

b)

11 and 12

c)

9 and 10

d)

90 and 100

49.

The √58 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

50.

includes integers, fractions, terminating and repeating decimals.

a)

Rational Numbers

b)

Irrational Numbers

51.

.141414141414...

a)

Rational

b)

Irrational

52.

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

53.

The ∛24 is closest to which point on the number line?

a)

A

b)

B

c)

C

d)

D

54.

Put in order of least to greatest.
√5, 3, 2½, √8

a)

3, 2½, √8, √5

b)

2½, 3, √5, √8

c)

√5, 3, 2½, √8

d)

√5, 2½, √8, 3

55.

Which best represents the length of one side of the square?

a)

5 m

b)

400 m

c)

10 m

d)

4.5 m

56.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

57.

Convert to scientific notation:
520,000,000

a)

52 x 10⁷

b)

5.2 x 10⁷

c)

5.2 x 10⁸

d)

0.52 x 10⁹

58.

Convert to standard notation:
2.4 x 10^-3

a)

2400

b)

0.24

c)

0.024

d)

0.0024

59.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really long numbers

c)

I don't know...

d)

None of the above

60.

ANY number raised to a power of 0 will be....

a)

10

b)

itself

c)

1

d)

0

61.

Scientific Notation is made up of two number parts. The second part is a power of base 10.

a)

True

b)

False

62.

UNDERSTANDING
If the exponent is a positive number...

a)

you will get a large number

b)

you will get a smaller number

63.

UNDERSTANDING
If the exponent is a negative number...

a)

you will get a large number

b)

you will get a small number

64.

Write 0.00000707 in scientific notation.

a)

7.07 x 10^-6

b)

7.07 x 10⁶

c)

707 x 10⁸

d)

707 x 10^-8

65.

Scientific Notation is a product of two terms. The first term should be a factor between 1 and 100.

a)

True

b)

False

66.

The rule of scientific notation is to write all exponents with a base of ____.

a)

50

b)

5

c)

100

d)

10

67.

Which of these numbers are NOT in scientific notation?

a)

1.2 x 10³

b)

5.3 x 10⁹

c)

2.0 x 10⁰

d)

10 x 10²

68.

The first term in scientific notation must be _________.

a)

greater than 0 and less than 10

b)

greater than or equal to 1 and smaller than 10

c)

greater than 1 and less than 9

d)

greater than 0 and less than 9

69.

How do you write
8.317 x 10⁶in standard decimal notation?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

70.

Express the following in
standard decimal notation:
8.025 x 10^-⁸

a)

0.00000008025

b)

-0.000000008025

c)

-802,500,000,000

d)

80,250,000,000

71.

How do you write
1001
in scientific notation?

a)

1.0001 x 10⁴

b)

1.01 x 10⁵

c)

1.001 x 10³

d)

10.1 x 10³

72.

Express the following in scientific notation:
0.0005

a)

50 x 10⁵

b)

5 x 10^-⁴

c)

5 x 10^-³

d)

0.5 x 10³

73.

Express the following in scientific notation:
10,030,400,000

a)

1.00304 x 10⁹

b)

1.00304 x 10¹⁰

c)

1.00403 x 10¹⁰

d)

1.00304 x10^-10

74.

How would you write 0.0005 in scientific notation?

a)

5 x 10^-5

b)

5 x 10^-4

c)

5 x 10^-3

d)

.5 x 10³

75.

Express the following in scientific notation:
.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

76.

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

77.

Simplify 2m⁴• 5m²

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

78.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

79.

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

80.

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

81.

(3c²)(10c⁷)

a)

13c⁹

b)

30c⁵

c)

30c⁹

d)

-30c⁹

82.

Simplify the following expression.
2c³ + 8c³

a)

10c⁶

b)

10c⁹

c)

10c³

d)

10 + c³

83.

Simplify (-9)⁰

a)

-9

b)

-1

c)

1

d)

9

84.

Simplify 4^-2

a)

-16

b)

-8

c)

1/8

d)

1/16

85.

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

a)

3

b)

81

c)

18

d)

90

86.

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

87.

x² = 121
What does x equal?

a)

11²

b)

11 and -11

c)

20 and 11

d)

12 and 1

88.

x² = 225

a)

5,-5

b)

15

c)

-15,15

d)

-5

89.

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

a)

3

b)

10

90.

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

91.

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

92.

Solve:
(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

93.

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

94.

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

95.

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

96.

Scientific notation is a way of writing very large or very small numbers using powers of 10.

a)

True

b)

False

97.

Scientific Notation is made up of two number parts. The first part should be a number...

a)

Between 0 and 10

b)

between 1 and 10

c)

between 1 and 100

98.

7.82 x 10^-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

a)

Large

b)

Small

c)

Basic

99.

Which is the smallest?

1.3 x 10²⁰

2.9 x 10²¹

9.5 x 10³²

8.4 x 10¹⁹

a)

1.3 x 10²⁰

b)

2.9 x 10²¹

c)

9.5 x 10³²

d)

8.4 x 10¹⁹

100.

ESTIMATE 12,000,000 to the nearest 10 million then express

as a single digit and as a power of ten.

a)

$12\times10^5$

b)

$1\times10^7$

c)

$12\times10^7$

d)

$2\times10^6$

101.

ESTIMATE 1,500,000 by rounding to the nearest

millionth and then writing the answer as a single

digit and a power of ten.

a)

$0.15\times10^{-6}$

b)

$1.5\times10^7$

c)

$1.5\times10^6$

d)

$2\times10^6$

102.

ESTIMATE -0.0000765 to the nearest ten millionths place. Then express the value as a single digit and a power of ten.

a)

$-8\times10^4$

b)

$8\times10^{-5}$

c)

$-8\times10^{-5}$

d)

$-7\times10^5$

103.

Choose the smaller number.

a)

$9.5\times10^4$

b)

$9.21\times10^7$

104.

The rule of scientific notation is to write all exponents with a base of ____.

a)

50

b)

5

c)

100

d)

10

105.

ANY number raised to a power of 0 will be....

a)

10

b)

itself

c)

1

d)

0

106.

Which of the following is NOT true of scientific notation?

a)

The number in front must be between 1 and 9.9

b)

The exponent tells you how many times the decimal was moved

c)

It shortens big numbers

d)

It doesn't always contain x10

107.

Simplify: (5p⁹q³)(2pq⁷)

a)

7p¹⁰q¹⁰

b)

10p⁹q²¹

c)

10p¹⁰q¹⁰

d)

10p⁸q^-4

108.

Simplify: (-5p)²

a)

-25p²

b)

25p²

c)

-5p²

d)

5p²

109.

Simplify: $\frac{6m^7}{\left(4m^3\right)^2}$

a)

$\frac{6m}{16}$

b)

$\frac{3m}{8}$

c)

$\frac{3}{8m}$

d)

$\frac{3m}{4}$

110.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

111.

What is the value of:
z⁰

a)

z²

b)

z

c)

0

d)

1

112.

Simplify the expression.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

113.

Our first exponent rule says that when you are multiplying two exponents with the same base, you keep the base the same and ________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

114.

Our second rule says that when a power is raised to a power, you should _________ the inner and outer exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

115.

If (2^x)⁵=2¹⁵, what does x equal?

a)

x = 3

b)

x = 5

c)

x = 10

116.

Simplify the expression

$x^4\cdot x^{12}$

a)

$x^3$

b)

$x^{48}$

c)

$x^8$

d)

$x^{16}$

117.

$\left(a^3b^5\right)^7$ =

a)

$a^3b^{35}$

b)

$a^{10}b^{12}$

c)

$a^8b^8$

d)

$a^{21}b^{35}$

118.

The Quotient of Powers Property says, "to divide powers with the same base, _________ the exponents."

ex.

\frac{\text{}y^6}{\text{}y^3}

a)

Divide

b)

Add

c)

Multiply

d)

Subtract

119.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

120.

$\left(ab^2\right)^8$ =

a)

$ab^{16}$

b)

$a^8b^{16}$

c)

$a^9b^{10}$

d)

$ab^{10}$

121.

Simplify: $a^7\ •\ \ a^{-3}\ •\ \ a^5$

a)

$a^9$

b)

$a^{12}$

c)

$a^{15}$

d)

$a^{105}$

Grade 7 End of Term 1 Revision 2022-2023

Total questions: 121

Worksheet time: 3hrs 11mins

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