Free Printable Y10 EoT1 Test

1.

Work out the answer as a decimal

$0.5\ +\ \frac{2}{5}$

a)

0.9

b)

0.1

c)

0.7

d)

0.75

2.

Work out the answer as a decimal

$0.3\ +\ \frac{1}{2}$

a)

0.8

b)

0.3

c)

0.2

d)

0.5

3.

Work out the answer as a decimal

$0.5\ +\ \frac{1}{4}$

a)

0.9

b)

0.75

c)

0.7

d)

0.25

4.

Work out the answer as a decimal

$0.67\ +\ \frac{1}{5}$

a)

0.87

b)

0.72

c)

0.69

d)

0.77

5.

Work out the answer as a decimal

$\frac{3}{4}-0.05$

a)

0.7

b)

0.25

c)

0.45

d)

0.65

6.

Work out the answer as a decimal

$\frac{7}{10}-0.25$

a)

0.35

b)

0.5

c)

0.55

d)

0.45

7.

Work out the answer as a fraction

$0.25\ +\ \frac{1}{3}$

a)

$\frac{7}{12}$

b)

$\frac{5}{12}$

c)

$\frac{2}{3}$

d)

$\frac{1}{12}$

8.

Work out the answer as a fraction

$0.5\ +\ \frac{1}{5}$

a)

$\frac{7}{10}$

b)

$\frac{3}{10}$

c)

$\frac{3}{5}$

d)

$\frac{1}{2}$

9.

Work out the answer as a fraction

$0.4\ +\ \frac{3}{10}$

a)

$\frac{7}{10}$

b)

$\frac{3}{10}$

c)

$\frac{5}{10}$

d)

$\frac{1}{2}$

10.

Work out the answer as a simplified fraction

$\frac{5}{6}-0.5$

a)

$\frac{1}{4}$

b)

$\frac{2}{3}$

c)

$\frac{1}{2}$

d)

$\frac{1}{3}$

11.

Select the correct statement

a)

$\frac{5}{4}-0.5=\frac{1}{2}+0.25$

b)

$\frac{5}{4}-0.5>\frac{1}{2}+0.25$

c)

$\frac{5}{4}-0.5<\frac{1}{2}+0.25$

12.

Select the correct statement

a)

$\frac{2}{3}+0.25=\frac{1}{3}+0.5$

b)

$\frac{2}{3}+0.25>\frac{1}{3}+0.5$

c)

$\frac{2}{3}+0.25<\frac{1}{3}+0.5$

13.

2/5 divided by 3/4

a)

8/15

b)

6/20

c)

3/10

d)

3/20

14.

3/2 divided by 4

a)

3/8

b)

12/2

c)

6

d)

3/4

15.

6 divided by 1/2

a)

1/12

b)

12/2

c)

6

d)

12

16.

Find the reciprocal

1/3

a)

3/1

b)

1/3

17.

Find the reciprocal

7

a)

7

b)

1/7

c)

7/1

d)

7/2

18.

Find the reciprocal

1/8

a)

8

b)

1/8

19.

Multiply

3/4 x 5/6

a)

15/24

b)

5/8

c)

18/20

d)

9/10

20.

Multiply

1/2 x 7/2

a)

7/4

b)

4/7

c)

2/14

d)

1/7

21.

a)

$w=4g+\frac{1}{3}$

b)

$w=\frac{4g+9}{6}$

c)

$w=\frac{4g+3}{9}$

d)

$w=\frac{g+3}{9}$

22.

a)

$a=\frac{ac+2w}{14}$

b)

$a=\frac{2w}{14-c}$

c)

$a=\frac{2w}{14+c}$

d)

$a=\frac{ac+14w}{14}$

23.

Make x the subject

a)

$x=\frac{3+8y}{y-1}$

b)

$x=\frac{y-3}{y+8}$

c)

$x=xy-8y-3$

d)

$x=\frac{8y-3}{y+1}$

24.

Make w the subject

a)

$w=5g-gw$

b)

$w=\frac{g-1}{5g}$

c)

$w=gw-5g$

d)

$w=\frac{5g}{g-1}$

25.

a)

$y=\frac{2x-3}{1-x}$

b)

$y=xy+2x-3$

c)

$y=\frac{1-x}{2x-3}$

d)

$y=\frac{2x-3}{x+1}$

26.

a)

$y=\frac{c-w}{-4a}$

b)

$y=^3\sqrt{\frac{c-w}{-4a}}$

c)

$y=c-w+4a$

d)

$y=^3\sqrt{c-w+4a}$

27.

a)

$p=\frac{\pi y+2}{1+3\pi}$

b)

$p=\pi y-3\pi+2$

c)

$p=\frac{\pi y+2}{3\pi}$

d)

$p=\frac{3\pi-1}{\pi y+2}$

28.

a)

$m=\frac{E}{gh}+\frac{1}{4}v^2$

b)

$m=\frac{gh+\frac{1}{4}v^2}{E}$

c)

$m=E\left(gh+\frac{1}{4}v^2\right)$

d)

$m=\frac{E}{gh+\frac{1}{4}v^2}$

29.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right

b)

Left

c)

Isosceles

d)

Equilateral

30.

What is the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

31.

Identify the hypotenuse.

a)

x

b)

z

c)

w

32.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

33.

What is the length of x?

a)

5.7

b)

10.6

c)

20

d)

400

34.

solve for c

a)

7

b)

9

c)

4

d)

13

35.

To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

a)

35

b)

22

c)

58

d)

75

36.

Find the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

37.

Find x.

a)

35

b)

20

c)

8

d)

12

38.

Find the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

39.

Find the percentage change in the following price reduction:

£320 to £272

a)

48%

b)

17.6%

c)

15%

d)

85%

40.

Find the percentage change in the following price reduction:

£45 to £32.85

a)

27%

b)

73%

c)

38%

d)

62%

41.

Find the percentage change in the following price reduction:

£80 to £28.80

a)

36%

b)

64%

c)

38%

d)

62%

42.

Find the percentage change in the following price reduction:

£740 to £710.40

a)

4%

b)

96%

c)

6%

d)

94%

43.

Find the percentage change in the following price reduction:

£650 to £338

a)

48%

b)

52%

c)

42%

d)

58%

44.

Find the percentage change in the following price increase:

£650 to £728

a)

12%

b)

88%

c)

18%

d)

82%

45.

Find the percentage change in the following price increase:

£64 to £160

a)

250%

b)

150%

c)

220%

d)

185%

46.

Find the percentage change in the following price increase:

£240 to £328.80

a)

37%

b)

73%

c)

63%

d)

27%

47.

Find the percentage change in the following price increase:

£810 to £1539

a)

90%

b)

92%

c)

95%

d)

85%

48.

Find the percentage change in the following price increase:

£1250 to £1300

a)

4%

b)

2%

c)

5%

d)

10%

49.

Increase £350 by 12%...

a)

£392

b)

£308

c)

£42

d)

£408

50.

Increase £520 by 26%...

a)

£655.20

b)

£790.40

c)

£384.80

d)

£582.40

51.

Increase £80 by 43%...

a)

£114.40

b)

£107.20

c)

£45.60

d)

£115.20

52.

Increase £2600 by 4%...

a)

£2704

b)

£2730

c)

£2756

d)

£2678

53.

Increase £300 by 82%...

a)

£546

b)

£246

c)

£384

d)

£525

54.

Increase £14 by 15.5%...

a)

£16.17

b)

£16.10

c)

£15.61

d)

£15.54

55.

Decrease £140 by 22%...

a)

£109.20

b)

£100.80

c)

£30.80

d)

£39.20

56.

Decrease £2200 by 8%...

a)

£2024

b)

£1980

c)

£2002

d)

£2376

57.

Decrease £800 by 41%...

a)

£472

b)

£328

c)

£552

d)

£408

58.

Decrease £450 by 17%...

a)

£373.50

b)

£526.50

c)

£76.50

d)

£328.50

59.

Decrease £680 by 86%...

a)

£95.20

b)

£584.80

c)

£462.40

d)

£285.60

60.

Decrease £120 by 22.5%...

a)

£93

b)

£27

c)

£90

d)

£87

61.

-13t > 26

a)

t > -2

b)

t > 2

c)

t < 2

d)

t < -2

62.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

63.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

64.

Solve the inequality.

30 + n ≥ 50

a)

n ≥ 50

b)

x ≥ 80

c)

n ≤ 30

d)

n ≥ 20

65.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

66.

Solve

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

67.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

68.

Solve:
3x + 7 = -8

a)

5

b)

-5

c)

-12

d)

-18

69.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

70.

11 > -3y + 2

a)

-3 > y

b)

-3 < y

c)

3 > y

d)

3 < y

71.

6n + 4 = -26

a)

n = -6

b)

n = -5

c)

n = 8

d)

n = -4

72.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

-5

d)

12

73.

-3x − 4 < 5

a)

x > -3

b)

x < -3

c)

x < 3

d)

x > 3

74.

2x + 6 ≥ -8

a)

x ≥ -7

b)

x ≤ -7

c)

x ≥ -10

d)

x ≤ -10

75.

21 = 9x+3

a)

x = 45

b)

x = 3

c)

x = 2

d)

x = 21

76.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

77.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

78.

Select the inequality shown

a)

x > 1

b)

x ≥ 1

c)

x < 1

d)

x ≤ 1

79.

Select the inequality shown

a)

x > 3

b)

x ≥ 3

c)

x < 3

d)

x ≤ 3

80.

Select the inequality shown

a)

x > 5

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

81.

Select the inequality shown

a)

x > 0

b)

x ≥ 0

c)

x < 0

d)

x ≤ 0

82.

Select the inequality shown

a)

x > -2

b)

x ≥ -2

c)

x < -2

d)

x ≤ -2

83.

Select the inequality shown

a)

x > -3

b)

x ≥ -3

c)

x < -3

d)

x ≤ -3

84.

Select the inequality shown

a)

x > -5

b)

x ≥ -5

c)

x < -5

d)

x ≤ -5

85.

Select the inequality shown

a)

x > 0

b)

x ≥ 0

c)

x < 0

d)

x ≤ 0

86.

Select the inequality shown

a)

1 < x < 4

b)

1 ≤ x < 4

c)

1 < x ≤ 4

d)

1 ≤ x ≤ 4

87.

Select the inequality shown

a)

0 < x < 5

b)

0 ≤ x < 5

c)

0 < x ≤ 5

d)

0 ≤ x ≤ 5

88.

Select the inequality shown

a)

0 < x < 3

b)

0 ≤ x < 3

c)

0 < x ≤ 3

d)

0 ≤ x ≤ 3

89.

Select the inequality shown

a)

-3 < x < 4

b)

-3 ≤ x < 4

c)

-3 < x ≤ 4

d)

-3 ≤ x ≤ 4

90.

Select the inequality shown

a)

-5 < x < -1

b)

-5 ≤ x < -1

c)

-5 < x ≤ -1

d)

-5 ≤ x ≤ -1

91.

Select the inequality shown

a)

-3 < x < 4

b)

-3 ≤ x < 4

c)

-3 < x ≤ 4

d)

-3 ≤ x ≤ 4

92.

Select all possible integer values for x

a)

0

b)

1

c)

2

d)

3

e)

0.5

93.

Solve:

3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

94.

Solve:

2x + 3y = 5

x + 3y = 7

a)

x = -2

y = 3

b)

x = -2

y = -3

c)

x = 2

y = 3

d)

x = 2

y = -3

95.

Solve:

2x + 5y = 29

x + 5y = 22

a)

x = 7

y = 3

b)

x = -7

y = -3

c)

x = 7

y = -3

d)

x = -7

y = 3

96.

Solve:

3x + 5y = 4

4x - 5y = -18

a)

x = -2

y = 2

b)

x = -2

y = -2

c)

x = 2

y = -2

d)

x = 2

y = 2

97.

Solve:

3x - 4y = 26

2x - 4y = 20

a)

x = 6

y = -2

b)

x = -6

y = -2

c)

x = -6

y = 2

d)

x = 6

y = 2

98.

Solve:

2x + y = 16

4x - y = 2

a)

x = 3

y = 10

b)

x = -3

y = -10

c)

x = -3

y = 10

d)

x = 3

y = -10

99.

Solve:

4x - y = 17

7x - y = 32

a)

x = 5

y = 3

b)

x = -5

y = 3

c)

x = 5

y = -3

d)

x = -5

y = -3

100.

Solve:

3x + 2y = 15

7x + 2y = 19

a)

x = 1

y = 6

b)

x = -1

y = 6

c)

x = 1

y = -6

d)

x = -1

y = -6

101.

Solve for (x,y)

-2x + 6y = 16

-4x - 3y = 2

a)

(2,2)

b)

(-2, -2)

c)

(-2,2)

d)

(2,1)

102.

Solve for (x,y)

5x + y = 9

10x − 7y = −18

a)

(-4,-1)

b)

(-1,-4)

c)

(4,1)

d)

(1, 4)

103.

Which picture shows corresponding angles?

a)

b)

c)

d)

104.

Which picture shows alternate angles?

a)

b)

c)

d)

105.

Which picture shows co-interior angles?

a)

b)

c)

d)

106.

Which picture shows vertically opposite angles?

a)

b)

c)

d)

107.

d and e are...

a)

Corresponding angles

b)

Co-interior angles

c)

Alternate angles

d)

Opposite angles

108.

c and f are...

a)

Corresponding angles

b)

Co-interior angles

c)

Alternate angles

d)

Opposite angles

109.

c and e are...

a)

Corresponding angles

b)

Co-interior angles

c)

Alternate angles

d)

Opposite angles

110.

a and e are...

a)

Corresponding angles

b)

Co-interior angles

c)

Alternate angles

d)

Opposite angles

111.

b and f are...

a)

Corresponding angles

b)

Co-interior angles

c)

Alternate angles

d)

Opposite angles

112.

c and g are...

a)

Corresponding angles

b)

Co-interior angles

c)

Alternate angles

d)

Opposite angles

113.

d and h are...

a)

Corresponding angles

b)

Co-interior angles

c)

Alternate angles

d)

Opposite angles

114.

d and f are...

a)

Corresponding angles

b)

Co-interior angles

c)

Alternate angles

d)

Opposite angles

115.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

116.

which equation best represents this graph?

a)

y < 1/2x + 1

b)

y < 1/2x + 2

c)

y >1/2x + 2

d)

y > 2x

117.

Select the graph for y > -2x - 3

a)

A

b)

B

c)

C

d)

D

118.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

119.

Identify the inequality.

a)

y > 2

b)

y ≤ 1

c)

x ≥ 2

d)

y ≥ 1

120.

Identify the inequality.

a)

y > x+1

b)

y ≤ 1x+1

c)

y ≥ x+1

d)

y ≤ x-1

121.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

122.

Which of the following equations match the given graph?

a)

y > 2x - 5

b)

y ≥ 7/4x + 2

c)

x < -5

d)

x > -5

123.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

124.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

125.

Which system of inequalities matches the graph?

a)

x > -2

y < -4

b)

x < 2

y > 4

c)

x > 2

y < 4

d)

x > 2

y < - 4

126.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

127.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

128.

Find the area of the sector, rounding your answer to 1d.p.

a)

176.7cm²

b)

23.6cm²

c)

156.7cm²

d)

88.4cm²

129.

Find the area of the sector, rounding your answer to 1d.p.

a)

67.1cm²

b)

67.0cm²

c)

16.8cm²

d)

134.0cm²

130.

Find the area of the sector, rounding your answer to 1d.p.

a)

2.1cm²

b)

2.0cm²

c)

0.5cm²

d)

12.6cm²

131.

Find the area of the sector, rounding your answer to 1d.p.

a)

15.4m²

b)

15.3m²

c)

15.5m²

d)

15.6cm²

132.

Find the area of the sector, rounding your answer to 1d.p.

a)

748.3cm²

b)

769.6cm²

c)

769.7cm²

d)

759.0cm²

133.

Find the area of the sector, rounding your answer to 1d.p.

a)

89.3cm²

b)

89.4cm²

c)

78.5cm²

d)

89.6cm²

134.

Find the area of the sector, rounding your answer to 1d.p.

a)

209.4cm²

b)

209.3cm²

c)

104.7cm²

d)

104.1cm²

135.

Find the area of the sector, rounding your answer to 1d.p.

a)

8.9cm²

b)

9.0cm²

c)

11.4cm²

d)

11.3cm²

136.

Find the area of the sector, rounding your answer to 1d.p.

a)

215.9cm²

b)

216.0cm²

c)

490.8cm²

d)

490.9cm²

137.

Find the area of the sector, rounding your answer to 1d.p.

a)

56.5cm²

b)

56.6cm²

c)

226.1cm²

d)

226.2cm²

138.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

139.

FIND THE SECTOR AREA OUTLINED IN BOLD

a)

A

b)

B

c)

C

d)

D

140.

FIND THE SECTOR AREA OUTLINED IN BOLD

a)

A

b)

B

c)

C

d)

D

141.

FIND THE SECTOR AREA OUTLINED IN BOLD

a)

A

b)

B

c)

C

d)

D

142.

FIND THE SECTOR AREA OUTLINED IN BOLD

a)

A

b)

B

c)

C

d)

D

143.

What is the area of the shaded sector?

a)

339.12 in²

b)

113.04 in²

c)

339.29 in²

d)

None of the above

144.

What number is pi (roughly)?

a)

1.41

b)

2.00

c)

3.14

d)

5.14

145.

What is the area formula for a circle?

a)

A = πr²

b)

A = 2πr

c)

A = √π

146.

Find the area of the circle below.

a)

8.76 cm²

b)

18.52 cm²

c)

21.90 cm²

d)

28.26 cm²

147.

What is this the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

148.

Find the length of the arc.

a)

31.42cm

b)

15.71cm

c)

282.74cm

d)

23.56cm

149.

If the radius is 4, what is the diameter?

a)

2

b)

8

c)

16

d)

10

150.

The radius of a circle is 3 centimeters. What is the length of a 45 degree arc?

a)

2/3 pi

b)

1/2 pi

c)

3/4 pi

d)

5/6 pi

151.

The radius of a circle is 5 centimeters. What is the length of a 180 degree arc?

a)

5 pi

b)

2 pi

c)

4 pi

d)

6 pi

152.

Find the length of the arc. Leave answer in terms of pi.

a)

$6\pi$ inches

b)

$27\pi$ inches

c)

$18\pi$ inches

d)

$12\pi$ inches

153.

Find the area of the shaded. Leave answer in terms of pi.

a)

$\frac{9\pi}{8}$ square units

b)

$\frac{3\pi}{4}$ square units

c)

$\frac{3\pi}{8}$ square units

d)

$9\pi$ square units

154.

Find the length of the arc to 2dp

a)

31.42cm

b)

15.71cm

c)

282.74cm

d)

23.56cm

155.

Find the length of the arc to 2dp

a)

9.42cm

b)

150.80cm

c)

4.71cm

d)

18.85cm

156.

Find the length of the arc to 2dp

a)

2.09m

b)

301.59m

c)

1.05m

d)

2.51m

157.

Find the length of the arc to 2dp

a)

25.12cm

b)

12.57cm

c)

628.32cm

d)

31.42cm

158.

Find the length of the arc to 2dp

a)

32.11cm

b)

16.05cm

c)

780.84cm

d)

32.99cm

159.

What are parallel lines?

a)

Lines that intersect

b)

Lines that are the same

c)

Lines that NEVER intersect

d)

Lines that are not straight

160.

Parallel lines have _________ gradients.

a)

the same

b)

different

c)

opposite reciprocal

d)

opposite

161.

Which of the following lines are parallel?

a)

b)

c)

162.

Which of the following lines are parallel? There is more than 1 answer!

a)

b)

c)

163.

What is the gradient of the following line? $y=-\frac{2}{3}x\ +7$

a)

$7$

b)

$\frac{2}{3}$

c)

$-\frac{2}{3}$

d)

$\frac{3}{2}$

164.

What would be the gradient of a line that is parallel to $y=3x-6$ ?

a)

$-6$

b)

$-3$

c)

$\frac{1}{3}$

d)

$3$

165.

What is the equation of a line that is parallel to y = 3x - 7 and goes through (2, 1) ?

a)

$y=3\left(2\right)-7$

b)

$y=3x-7$

c)

$y=3x+1$

d)

$y=3x-5$

166.

What is the equation of a line that is parallel to $y=\frac{2}{3}x+5$ and goes through $\left(6,-7\right)$ ?

a)

$y=\frac{2}{3}x-7$

b)

$y=\frac{2}{3}x-11$

c)

$y=\frac{2}{3}x-3$

d)

$y=\frac{2}{3}x-9$

167.

What is the equation of a line that is parallel to $y=-5$ and goes through $\left(-1,-8\right)$ ?

Hint: Think carefully about the gradient in the equation given!

a)

$y=0x-8$

b)

$x=-1$

c)

$y=0x-5$

d)

$y=0x-1$

Y10 EoT1 Test

Total questions: 167

Worksheet time: 6hrs 2mins

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