Free Printable Y10 term 2b test revision

1.

Describe the transformation from the yellow shape to the blue shape...

a)

Rotation

90^o clockwise

Centre (0,0)

b)

Rotation

90^o anti-clockwise

Centre (0,0)

c)

Rotation

90^o clockwise

Centre (-1,-1)

d)

Rotation

90^o anti-clockwise

Centre (-1,-1)

2.

Describe the transformation from the blue shape to the yellow shape...

a)

Rotation

90^o clockwise

Centre (0,0)

b)

Rotation

90^o anti-clockwise

Centre (0,0)

c)

Rotation

90^o clockwise

Centre (-1,-1)

d)

Rotation

90^o anti-clockwise

Centre (-1,-1)

3.

Describe the transformation from the blue shape to the yellow shape...

a)

Rotation

180^o

Centre (0,0)

b)

Rotation

90^o anti-clockwise

Centre (0,0)

c)

Rotation

90^o clockwise

Centre (0,-1)

d)

Rotation

180^o

Centre (0,1)

4.

Describe the transformation from the blue shape to the yellow shape...

a)

Rotation

90^o clockwise

Centre (0,0)

b)

Rotation

90^o anti-clockwise

Centre (0,0)

c)

Rotation

90^o clockwise

Centre (0,1)

d)

Rotation

180^oanti-clockwise

Centre (0,1)

5.

Describe the transformation from the yellow shape to the blue shape...

a)

Rotation

90^o clockwise

Centre (0,0)

b)

Rotation

90^o anti-clockwise

Centre (0,0)

c)

Rotation

90^o clockwise

Centre (0,1)

d)

Rotation

180^oanti-clockwise

Centre (0,1)

6.

An enlargement scale factor of more than one creates a ______ shape _______ the centre of enlargement.

a)

larger, closer to

b)

larger, further from

c)

smaller, closer to

d)

smaller, further from

7.

An enlargement scale factor of between zero and one creates a ______ shape _______ the centre of enlargement.

a)

larger, further from

b)

larger, closer to

c)

smaller, further from

d)

smaller, closer to

8.

Identify the equation of the red line...

a)

x = -2

b)

x = 2

c)

y = -2

d)

y = 2

9.

Identify the equation of the red line...

a)

x = 3

b)

y = 3

c)

y = -3

d)

x = -3

10.

Identify the equation of the red line...

a)

x = 0

b)

y = 0

c)

y = x

d)

y = -x

11.

Describe the transformation...

a)

Reflection in the line x = 0

b)

Reflection in the line y = 0

c)

Reflection in the line y = x

d)

Reflection in the line y = -x

12.

Describe the transformation...

a)

Reflection in the line x = -2

b)

Reflection in the line y = -2

c)

Reflection in the line y = 2

d)

Reflection in the line x = 2

13.

Which set of movements is shown by the vector...

a)

3 left

1 down

b)

3 left

1 up

c)

3 right

1 down

d)

3 right

1 up

14.

Which set of movements is shown by the vector...

a)

2 right

9 down

b)

2 right

9 up

c)

2 left

9 down

d)

2 left

9 up

15.

Which vector translates the blue shape to the green shape...?

a)

b)

c)

d)

16.

Which vector translates the Green shape to the Blue shape...?

a)

b)

c)

d)

17.

Which vector translates the Green shape to the Blue shape...?

a)

b)

c)

d)

18.

A prime number...

a)

has one factor.

b)

has more than 2 factors.

c)

has 100 factors.

d)

has exactly 2 factors: 1 and the itself.

19.

A composite number ...

a)

has more than 2 factors.

b)

has one factor.

c)

has at least 10 factors.

d)

is always a really big number.

20.

What are the prime factors of 27?

a)

3x3x3

b)

3x2x3

c)

3x3x4

21.

Find the prime factors of 45.

a)

5x9

b)

3x15

c)

3x3x5

22.

What are the prime factors of 90?

a)

3x3x4x5

b)

5x5x3

c)

2x3x3x5

23.

Use a number tree to find the prime factorization of 32

a)

2 x 2 x 2 x 3

b)

2 x 2 x 2 x 2 x 2

24.

Which are the factors of 14?

a)

(1,14)

b)

(1, 2, 7, 14)

c)

(2, 7)

25.

Which are the factors of 24?

a)

(1, 2, 3, 8, 12, 24)

b)

(2, 3, 4, 6, 8, 12)

c)

(1, 2, 3, 4, 6, 8, 12, 24)

26.

which number below is NOT prime?

a)

7

b)

9

c)

2

d)

3

27.

Find the prime number.

a)

10

b)

9

c)

7

d)

4

28.

Is 12 prime or composite?

a)

prime

b)

composite

29.

is 5 prime or composite?

a)

prime

b)

composite

30.

Which number is a multiple of 3?

a)

27

b)

28

c)

29

31.

Which one is a multiple of 4?

a)

33

b)

22

c)

24

32.

Which of the following shows the multiples of 12?

a)

12,22,53,60

b)

4,8,12,16,24

c)

12,24,36,48,60

33.

Which of the following is a factor of 12? Select all that apply.

a)

12

b)

2

c)

24

d)

3

34.

Select all of the multiples of 8.

a)

2

b)

8

c)

32

d)

4

35.

Select all of the composite numbers.

a)

12

b)

16

c)

3

d)

7

36.

What are the factors of 15?

a)

1, 2, 3, 5, 15

b)

1, 3, 5, 15

c)

1, 2, 3, 4, 5

d)

1, 5, 10, 15

37.

Which one of the numbers below is prime numbers?

a)

15

b)

17

c)

16

d)

12

38.

Find the HCF of 12 and 16...

a)

2

b)

4

c)

6

d)

8

39.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

40.

Find the HCF of 8 and 24 ...

a)

2

b)

4

c)

6

d)

8

41.

Find the LCM of 8 and 24 ...

a)

24

b)

48

c)

32

d)

64

42.

Find the LCM of 5 and 8...

a)

40

b)

80

c)

20

d)

60

43.

Find the LCM of 6 and 8...

a)

12

b)

16

c)

24

d)

36

44.

Find the LCM of 6 and 9...

a)

18

b)

30

c)

24

d)

36

45.

Find the LCM of 10 and 12...

a)

80

b)

40

c)

60

d)

120

46.

Find the HCF of 20 and 24

a)

6

b)

4

c)

5

d)

12

47.

Find the HCF of 30 and 25

a)

5

b)

6

c)

10

d)

15

48.

What is the LCM of 22 and 6?

a)

6

b)

22

c)

42

d)

66

49.

Find the HCF of 45 and 60

a)

5

b)

15

c)

10

d)

9

50.

Find the HCF of 21 and 28

a)

3

b)

4

c)

7

d)

14

51.

Find the HCF and LCM of 16 and 24.

a)

HCF = 8 and LCM = 48

b)

HCF = 8 and LCM = 384

c)

HCF = 2 and LCM = 384

d)

HCF = 8 and LCM = 32

52.

Find the Least Common Multiple of 9 and 6

a)

18

b)

36

c)

38

d)

72

53.

Find the HCF of 22 and 42

a)

2

b)

3

c)

11

d)

14

54.

What is the LCM of 4 and 12?

a)

4

b)

8

c)

12

d)

16

55.

Find the HCF of 25 and 35

a)

10

b)

5

c)

7

d)

1

56.

What is the least common multiple (LCM) of 15 and 2?

a)

30

b)

2

c)

45

d)

152

57.

What is the least common multiple (LCM) of 6 and 8?

a)

6

b)

8

c)

48

d)

24

58.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

59.

Write 7.8 x 10^-3in standard form.

a)

0.0078

b)

7,800

c)

78

d)

0.078

60.

Write 9.8 x 10^-5in standard form

(a)

61.

How would you write 5.64 x 10⁸ in standard form?

a)

564,000,000

b)

546, 000, 000

c)

56, 400, 000

d)

5,640, 000

62.

Express the following in standard form:

8.025 x 10^-8

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

63.

How do you write
8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

64.

What is $4.5\ \times10^5$ in standard form?

(a)

65.

Write in standard form:
8 x 10⁴

a)

8,000

b)

80,000

c)

.00008

66.

What happens to a frog's car when it breaks down?

a)

It keeps running

b)

It goes slow

c)

It gets toad away

67.

Write this in standard form: 9.1 x 10^-4

a)

0.0091

b)

0.00091

c)

0.0009

d)

0.000091

68.

What is 3 × 10^-2 written

in standard form?

a)

300

b)

3000

c)

0.03

d)

0.3

69.

Write this number in standard form: 5.6 x 10³

a)

5600

b)

560

c)

0.56

d)

56000

70.

Evaluate...

(4 × 10³) × (8 × 10¹¹)

a)

32 × 10¹⁴

b)

3.2 × 10¹⁴

c)

32 × 10¹⁵

d)

3.2 × 10¹⁵

71.

Evaluate...

(5 × 10⁸) × (6 × 10¹²)

a)

30 × 10²⁰

b)

3 × 10²⁰

c)

30 × 10²¹

d)

3 × 10²¹

72.

Evaluate...

(3 × 10^-2) × (6 × 10⁹)

a)

18 × 10⁷

b)

1.8 × 10⁸

c)

18 × 10¹¹

d)

1.8 × 10¹²

73.

Evaluate...

(1.2 × 10⁵) × (4 × 10⁶)

a)

4.8 × 10¹¹

b)

4.8 × 10¹²

c)

4.8 × 10¹⁰

d)

4.8 × 10¹³

74.

Evaluate...

(2.6 × 10⁷) × (2 × 10⁹)

a)

5.2 × 10¹⁶

b)

5.2 × 10¹⁷

c)

5.4 × 10¹⁵

d)

5.4 × 10¹⁶

75.

Evaluate...

(6.1 × 10¹³) × (3 × 10⁹)

a)

18.3 × 10²²

b)

18.3 × 10²³

c)

1.83 × 10²²

d)

1.83 × 10²³

76.

Evaluate...

(5.2 × 10¹⁸) × (2 × 10⁵)

a)

10.4 × 10²³

b)

1.04 × 10²⁴

c)

10.4 × 10²⁴

d)

1.04 × 10²³

77.

Evaluate...

(8 × 10^-4) × (1 × 10^-9)

a)

8 × 10⁵

b)

8 × 10^-5

c)

8 × 10^-13

d)

8 × 10¹³

78.

Evaluate...

(5.2 × 10¹⁷) ÷ (2 × 10⁵)

a)

2.6 × 10¹²

b)

2.6 × 10¹³

c)

2.6 × 10¹¹

d)

2.6 × 10²²

79.

Evaluate...

(7 × 10²⁴) ÷ (2 × 10⁸)

a)

3.5 × 10¹⁶

b)

3.5 × 10¹⁸

c)

3.5 × 10³²

d)

3.5 × 10³

80.

Evaluate...

(8 × 10¹³) ÷ (2 × 10^-2)

a)

4 × 10¹⁵

b)

4 × 10¹¹

c)

4 × 10^-11

d)

4 × 10^-15

81.

Evaluate...

(6 × 10^-8) ÷ (2 × 10⁵)

a)

3 × 10¹³

b)

3 × 10³

c)

3 × 10^-3

d)

3 × 10^-13

82.

Evaluate...

(3.2 × 10¹⁰) ÷ (2 × 10¹⁵)

a)

1.6 × 10^-5

b)

2.1 × 10^-25

c)

1.6 × 10^-25

d)

2.1 × 10^-5

83.

Evaluate...

(2 × 10^-3) ÷ (4 × 10⁹)

a)

2 × 10^-12

b)

0.5 × 10^-12

c)

0.5 × 10^-11

d)

5 × 10^-11

84.

Write the number 3,400,000 in standard form

a)

3.4 × 10⁶

b)

3.4 × 10⁷

c)

34 × 10⁵

d)

3.4 × 10^-5

85.

Write the number 82,300,000 in standard form

a)

8.23 × 10⁵

b)

8.23 × 10⁶

c)

8.23 × 10⁷

d)

8.23 × 10⁸

86.

Write the number 105,000,000 in standard form

a)

10.5 × 10⁷

b)

10.5 × 10⁸

c)

1.05 × 10⁷

d)

1.05 × 10⁸

87.

Write the number 97,340,000,000 in standard form

a)

9.734 × 10¹⁰

b)

9.734 × 10¹¹

c)

9.734 × 10⁹

d)

9.734 × 10¹²

88.

Write the number 40,021,000,000,000 in standard form

a)

4.021 × 10¹²

b)

4.0021 × 10¹²

c)

4.0021 × 10¹³

d)

4.021 × 10¹³

89.

Write the number 0.0000037 in standard form

a)

3.7 × 10^-6

b)

3.7 × 10⁶

c)

3.7 × 10^-5

d)

3.7 × 10⁵

90.

Write the number 0.00004 in standard form

a)

4 × 10^-4

b)

4 × 10⁴

c)

4 × 10⁵

d)

4 × 10^-5

91.

Write the number 0.000000617 in standard form

a)

6.17 × 10^-9

b)

6.17 × 10^-6

c)

6.17 × 10^-7

d)

6.17 × 10^-8

92.

Write 3.1 × 10⁹ as an ordinary number...

a)

310,000,000

b)

31,000,000

c)

3,100,000,000

d)

31,000,000,000

93.

Write 2.03 × 10⁷ as an ordinary number...

a)

2,030,000

b)

20,300,000

c)

203,000,000

d)

2,030,000,000

94.

Write 8.98 × 10³ as an ordinary number...

a)

8980

b)

898000

c)

0.000898

d)

0.00898

95.

Write 7.4 × 10^-5 as an ordinary number...

a)

0.000074

b)

740,000

c)

7,400,000

d)

0.0000074

96.

Write 8.35 × 10^-4 as an ordinary number...

a)

0.0000835

b)

0.000835

c)

8350

d)

8,350,000

97.

Write 2 × 10^-15 as an ordinary number...

a)

0.00000000000002

b)

0.000000000000002

c)

0.0000000000000002

d)

0.00000000000000002

98.

Is the following sequence linear or non-linear?

4, 7, 10, 13...

a)

Linear

b)

Non-linear

99.

Find the next term in the following sequence?

4, 7, 10, 13...

a)

16

b)

17

c)

26

d)

25

100.

Is the following sequence linear or non-linear?

120, 110, 100, 90...

a)

Linear

b)

Non-linear

101.

Find the next term in the following sequence?

120, 110, 100, 90...

a)

80

b)

90

c)

40

d)

45

102.

Is the following sequence linear or non-linear?

3, 2.5, 2, 1.5 ...

a)

Linear

b)

Non-linear

103.

Find the next term in the following sequence?

3, 2.5, 2, 1.5 ...

a)

2

b)

1

c)

0.5

d)

0.75

104.

Is the following sequence linear or non-linear?

330, 430, 530, 630...

a)

Linear

b)

Non-linear

105.

Find the next term in the following sequence?

330, 430, 530, 630...

a)

730

b)

830

c)

370

d)

360

106.

Is the following sequence linear or non-linear?

5, 10, 20, 40...

a)

Linear

b)

Non-linear

107.

Find the next term in the following sequence?

5, 10, 20, 40...

a)

80

b)

50

c)

100

d)

30

108.

Is the following sequence linear or non-linear?

3, 5, 9, 15...

a)

Linear

b)

Non-linear

109.

Find the next term in the following sequence?

3, 5, 9, 15...

a)

21

b)

23

c)

22

d)

24

110.

Given a sequence has the nth term 2n+4 find the first term

(a)

111.

Given a sequence has the nth term 2n+4 find the second term

(a)

112.

Given a sequence has the nth term 2n+4 find the third term

(a)

113.

Given a sequence has the nth term 5n+7 find the first term

(a)

114.

Given a sequence has the nth term 5n+7 find the second term

(a)

115.

Given a sequence has the nth term 5n+7 find the 100th term

(a)

116.

Given a sequence has the nth term 3n-8 find the 1st term

(a)

117.

Given a sequence has the nth term 3n-8 find the 2nd term

(a)

118.

Given a sequence has the nth term 3n-8 find the 3rd term

(a)

119.

Given a sequence has the nth term 10-2n find the 1ST term

(a)

120.

Given a sequence has the nth term 10-2n find the 2ND term

(a)

121.

Given a sequence has the nth term 10-2n find the 3RD term

(a)

122.

Given a sequence has the nth term 10-2n find the 20TH term

(a)

123.

How many circles would appear in the next picture in this pattern?

a)

7

b)

9

c)

8

d)

10

124.

Write 6²x 6³as a single power

a)

12⁶

b)

6⁶

c)

6⁵

d)

36⁵

125.

Write 2 x 2 x 2 x 2 in index form

a)

2³

b)

2⁵

c)

16

d)

2⁴

126.

Simplify 5³ x 5⁴

a)

5⁷

b)

25⁷

c)

5¹²

127.

Simplify 6⁵ x 6 x 6³

a)

6⁸

b)

216⁸

c)

6⁹

d)

216⁹

128.

Simplify 5³ x 5⁴

a)

5¹²

b)

5⁷

c)

25¹²

d)

25⁷

129.

a²× a³

a)

2a⁵

b)

2a³

c)

a⁵

d)

5a

130.

a × a²× a³

a)

a⁶

b)

a⁵

c)

3a⁵

d)

6a

131.

a × a × a × a

a)

4a

b)

a⁴

c)

4a⁴

d)

2a²

132.

a⁶× a × a⁴

a)

a¹¹

b)

a¹³

c)

a⁹

d)

a¹²

133.

$x^2\ \times x^3$

a)

$x^5$

b)

$x^4$

c)

$x^6$

d)

$x^1$

134.

$2x^2+6x^2=$

a)

$8x^4$

b)

$12x^4$

c)

$8x$

d)

$8x^2$

135.

$2x^2+x^2=$

a)

$3x^2$

b)

$2x^2$

c)

$2x^4$

d)

$3x^4$

136.

$4x^2-2x^2=$

a)

$4$

b)

$2x^2$

c)

$2$

d)

$2x^0$

137.

$6x^2-x^2=$

a)

$5x^0$

b)

5

c)

6

d)

$5x^2$

138.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

139.

Simplify:

x²+2x+3x

a)

6x

b)

6x²

c)

x²+5x

d)

7x

140.

Simplify 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

141.

Evaluate the following...

(fully simplify your answer)

a)

5

b)

-5

c)

¹/₅

d)

-¹/₅

142.

Evaluate the following...

(fully simplify your answer)

a)

3

b)

-3

c)

¹/₃

d)

-¹/₃

143.

Evaluate the following...

(fully simplify your answer)

a)

12

b)

-12

c)

¹/₁₂

d)

-¹/₁₂

144.

Evaluate the following...

(fully simplify your answer)

a)

16

b)

-16

c)

¹/₄

d)

¹/₁₆

145.

Evaluate the following...

(fully simplify your answer)

a)

49

b)

(¹/₇)²

c)

¹/₇

d)

¹/₄₉

146.

Evaluate the following...

(fully simplify your answer)

a)

121

b)

(¹/₁₁)²

c)

¹/₁₁

d)

¹/₁₂₁

147.

Evaluate the following...

(fully simplify your answer)

a)

1

b)

(¹/₁)³

c)

¹/₁

d)

-1

148.

Evaluate the following...

(fully simplify your answer)

a)

8

b)

(¹/₂)³

c)

¹/₂

d)

¹/₈

149.

How else can you write $\sqrt{x}$ ?

a)

$x^{\frac{1}{2}}$

b)

$x^2$

c)

$x^{-2}$

d)

$x^{\frac{1}{4}}$

150.

1000^⅓is the same as the cube root of 1000 =

a)

10

b)

333

c)

300

d)

100

151.

64^⅓=

a)

4

b)

8

c)

6

d)

21.3

152.

Evaluate

a)

3

b)

18

c)

9

d)

6

153.

How else could you write $4^{-2}$ ?

a)

$16$

b)

$-16$

c)

$-\frac{1}{16}$

d)

$\frac{1}{16}$

154.

4^-½=

a)

2

b)

-2

c)

½

d)

-½

155.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

156.

Which of the following is equivalent to the expression $\frac{1}{2x^7}$ ?

a)

$\left(2x\right)^{-7}$

b)

$\frac{1}{2}x^7$

c)

$\frac{1}{2}x^{-7}$

d)

$2x^{-7}$

157.

\frac{2}{x^3}=?

a)

$2x^3$

b)

$2x^{-3}$

c)

$8x^3$

d)

$8x^{-3}$

158.

Simplify fully $x^5\times x^{-2}=?$

a)

$x^3$

b)

$x^7$

c)

$x^{10}$

d)

$x^{-10}$

159.

Simplify.
s^-5⋅ s^-2

a)

s^-3

b)

¹/_s⁷

c)

s^-7

d)

¹/_s³

160.

Simplify

a)

7a⁵/b³

b)

b³/7a⁵

c)

7b³/a^-⁵

d)

7b³ /a⁵

161.

Simplify.

a)

y⁶⁰

b)

¹/_y¹⁶

c)

y^-16

d)

y⁴

162.

a)

y⁴

b)

y⁵

c)

y⁶

d)

6^y

163.

a)

t²⁴

b)

t¹²

c)

t¹⁸

d)

t^-12

164.

a)

b)

c)

d)

165.

Write the product using exponents:

(-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

a)

-2⁵

b)

2^-5

c)

(-2)⁵

d)

(-2)^-5

166.

What is the value of (-2)^3?

a)

-8

b)

-6

c)

6

d)

8

167.

Write the product using exponents: (-2) ⋅ (-2) ⋅ (-2) ⋅ x ⋅ x

a)

(-2)³ ⋅ x²

b)

-(2³ ⋅ x²)

c)

-2³ ⋅ x²

d)

8x²

168.

Rewrite using a positive exponent.
(-5)^-4

a)

(-5)⁴

b)

¹/_(-5)^-4

c)

¹/_(-5)⁴

d)

-625

169.

Fully simplify...

a)

b)

c)

d)

170.

Fully simplify...

a)

b)

c)

d)

171.

Fully simplify...

a)

b)

c)

d)

172.

Fully simplify...

a)

b)

c)

d)

173.

Fully simplify...

a)

b)

c)

d)

174.

Fully simplify...

a)

b)

c)

d)

175.

Fully simplify...

a)

b)

c)

d)

176.

Fully simplify...

a)

b)

c)

d)

Y10 term 2b test revision

Total questions: 176

Worksheet time: 5hrs 38mins

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