Free Printable Year 10 end of year quiz

1.

What number is 60%of 25?

a)

1.5

b)

15

c)

13

d)

13.6

2.

What percent of 25 is 60?

a)

24%

b)

2.4

c)

240%

d)

100%

3.

Convert this decimal to a percentage 0.175

a)

17.5%

b)

1750%

c)

175%

d)

1.75%

4.

How do you workout 50% of any number?

a)

Multiply by 50

b)

Divide by 50

c)

Divide by 2

d)

Subtract 50

5.

a)

1760

b)

2400

c)

240

d)

17600

6.

a)

63

b)

630

c)

483

d)

48.3

7.

a)

882.88 kg

b)

541.12 kg

c)

472 kg

d)

170.88 kg

8.

a)

£27375.75

b)

£11054.25

c)

£9900

d)

£17202.09

9.

Find the percentage change in the following price reduction:

£320 to £272

a)

48%

b)

17.6%

c)

15%

d)

85%

10.

Find the percentage change in the following price reduction:

£45 to £32.85

a)

27%

b)

73%

c)

38%

d)

62%

11.

Find the percentage change in the following price reduction:

£80 to £28.80

a)

36%

b)

64%

c)

38%

d)

62%

12.

Find the percentage change in the following price reduction:

£650 to £338

a)

48%

b)

52%

c)

42%

d)

58%

13.

Find the percentage change in the following price increase:

£650 to £728

a)

12%

b)

88%

c)

18%

d)

82%

14.

Find the percentage change in the following price increase:

£240 to £328.80

a)

37%

b)

73%

c)

63%

d)

27%

15.

Find the percentage change in the following price increase:

£810 to £1539

a)

90%

b)

92%

c)

95%

d)

85%

16.

Which is bigger:
25% of 200
OR
20 % of 250

a)

25% of 200

b)

20% of 250

c)

They are the same

17.

A student earned a grade of 80% on a math test that had 20 problems. How many problems on this test did the student answers correctly?

a)

25 problems

b)

16 problems

c)

18 problems

d)

9 problems

18.

Express this ratio in simplest form!!

There are 16 male teachers out of 40.

a)

16:40

b)

2:5

c)

2:9

d)

90:75

19.

In the recipe of a lemonade 2 cups of sugar is needed for 3 lemons. How many lemons are needed for 6 cups of sugar?

a)

4

b)

6

c)

8

d)

9

20.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

21.

Using the graph solve the equation
-x²-2x+3=-5.

a)

{-3,-1}

b)

{-2,0}

c)

{-4,2}

d)

{-1,4}

22.

Use the graph of y=-x²+6x-5 to solve the equation -x²+6x-5=0

a)

{-1,5}

b)

{3,4}

c)

{1,5}

d)

{2,4}

23.

Solve by factoring: x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

24.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

25.

2d² = 8

a)

4

b)

-2

c)

-4, 4

d)

-2, 2

26.

Solve by taking square roots:

5b² - 4 = 41

a)

b = 9, b = -9

b)

b = 3, b = -3

c)

b = 8, b = -8

d)

no real solution

27.

Solve for x:

(x + 6)²= 49

a)

x=7,12

b)

x=±7

c)

x=1,-13

d)

x=43,-55

28.

What should you do first to solve this equation using quadratic formula?

x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

29.

In the equation

x² - 5x + 7= 0,

match each leading coefficient with its correct letter

for a, b and c

a)

a = 0, b = 5, c = 7

b)

a = 1, b = -5, c = 7

c)

a = 7, b = 5, c = 1

d)

a = 1, b = 5, c = 7

30.

What is the first step to solving THIS equation by completing the square?

a² + 10a + 21 = 0

a)

Leave the equation equal to zero

b)

Divide 10 by 2 and add the result to both sides

c)

Add a² and 10a together

d)

Subtract 21 from both sides

31.

When solving the equation x² - 12x + 4 = 20

by completing the square , what values would go in the two blanks?

(________)² = ______

a)

x - 12; 42

b)

x - 6; 16

c)

x - 6; 42

d)

x - 6; 56

32.

What is the correct solution to x² - 12x + 4 = 20?

a)

x = 12.48, -0.48

b)

x = 48

c)

x = 27, -15

d)

x = 12.48

33.

Solve 5x + 7 = -13

a)

x=4

b)

x=-4

c)

x=5

d)

x=-5

34.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

35.

2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?

a)

96h + 15 = 8

b)

h/96 = 8

c)

8h + 15 = 96

d)

h/8 = 96

36.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

37.

Solve:
7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

38.

Solve the equation for x.
1.6 + 0.4x = 3.4 - 0.2x

a)

x = -3

b)

x = 3

c)

x = 0.3

d)

x = 1.8

39.

Solve this equation:
$\frac{3x+2}{4}=\frac{2x-1}{3}$

a)

x = -10

b)

x = -9

c)

x = 10

d)

x = 9

40.

Solve this equation:
$\frac{4x-3}{5}=\frac{2x-7}{8}$

a)

x = -1

b)

x = -0.5

c)

x = 1

d)

x = 0.5

41.

10(f + 5)

a)

10f + 50

b)

f + 50

c)

10f + 5

d)

b + c

42.

Which of the following is the correct expansion of:
5(r - 2)?

a)

5r - 2

b)

5r +2

c)

5r + 10

d)

5r - 10

43.

Which of the following is the correct expansion of:
a(a - 10)?

a)

a² - 10a

b)

2a - 10

c)

2a² - 10

d)

a - 10a²

44.

Expand 3z(4z + 6)

a)

12z² + 18z

b)

34z² + 18

c)

12z² + 18

d)

12z² - 18z

45.

(x + 1)(x + 2)(x + 3)

a)

x³ + 6x² + 11x + 6

b)

x³ + 9x² + 10x + 6

c)

x³ + 3x² + 7x + 6

d)

x³ + 10x² + 4x + 9

46.

(x - 5)(x + 3)(x + 2)

a)

x³ - 5x² + 11x - 30

b)

x³ + 6x² + 30

c)

x³ +-19x - 30

d)

x³ + 6x² - 30

47.

(x + 5)(x - 2)²

a)

x³ + x² - 16x + 20

b)

x³ + 20

c)

x³ + x² + 16x - 20

d)

x³ + 6x² + 26

48.

x(x + 3)(x - 3)

a)

2x³ + 11x + 6

b)

x³ + 10x² + 11x - 9

c)

x³ + 4x² + 11x - 6

d)

x³ - 9x

49.

(x + 4)³

a)

x³ + 51x² + 121x + 86

b)

x³ + 12x² + 48x + 64

c)

x³ + 64x² + 64x + 64

d)

x³ + 10x² + 32x + 16

50.

2(h + 3) + 3(h + 4)

a)

5h + 18

b)

5h + 7

c)

5h + 10

d)

5h + 14

51.

5(2h + 1) - 2(h + 2)

a)

8h + 1

b)

8h - 1

c)

8h + 3

d)

8h +9

52.

2(5m + 3) + 1

a)

10m + 7

b)

10m + 6

c)

10m + 1

d)

10m + 4

53.

x(x + 1) + 3(x + 1)

a)

x² + 4x +3

b)

x² + 3x +3

c)

6x + 3

d)

x² + x +3

54.

(x+9)(x-9)

a)

x²-18x-81

b)

x²-81

c)

x²+81

d)

x²+18x-81

55.

(x-7)(x+3)

a)

x²-3x-21

b)

x²+4x-21

c)

x²-4x-21

56.

(x+3)(x+11)

a)

x²+30x+14

b)

x²+14x +30

c)

14x+33+x²

d)

3x²+11x+33

57.

(x+8)(x-8)

a)

x²-64

b)

x²-8x-64

c)

x²-8x+64

d)

x²+64

58.

(x-8)(x+1)

a)

x²-9x-8

b)

x²-7x-8

c)

x²-7x+8

d)

x²+9x-8

59.

Expand (x + 5)(x + 4)

a)

x² + 9x + 20

b)

x² + 20x + 20

c)

5x² + 20

d)

x² + 6x + 9

60.

Expand (x + 5)(x - 3)

a)

x² - 15

b)

x² + 2x

c)

x² + 15x - 15

d)

x² + 2x - 15

61.

Expand
(4n - 5)(2n + 5)

a)

8n² + 10n - 25

b)

56n² + 4n - 16

c)

7n² + 27n - 4

d)

56n² - 16

62.

(3x+2)(2x +3)

a)

6x²+ 6x + 6

b)

5x² + 11x + 6

c)

6x² + 13x + 6

d)

6x²+ 13x + 5

63.

Expand (2x + 3)(3x - 2)

a)

6x² + 5x - 6

b)

6x²+13x - 6

c)

6x² - 5x - 6

d)

6x² +5x + 6

64.

Expand (x + 2)(x - 4)

a)

x² - 2x - 8

b)

x² + 2x - 8

c)

x² - 2x + 8

d)

x² + 2x + 8

65.

Expand (2x + 3)(x + 7)

a)

2x²+ 10x + 21

b)

2x² + 17x + 21

c)

2x² -10x + 21

d)

2x² - 17x + 21

66.

Solve the following inequality:
-4x + 14 ≤ 54

a)

x ≥ -10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

67.

Select the inequality shown

a)

x > 1

b)

x ≥ 1

c)

x < 1

d)

x ≤ 1

68.

Select the inequality shown

a)

x > 3

b)

x ≥ 3

c)

x < 3

d)

x ≤ 3

69.

Select the inequality shown

a)

x > 0

b)

x ≥ 0

c)

x < 0

d)

x ≤ 0

70.

Select the inequality shown

a)

x > -5

b)

x ≥ -5

c)

x < -5

d)

x ≤ -5

71.

Select the inequality shown

a)

x > 0

b)

x ≥ 0

c)

x < 0

d)

x ≤ 0

72.

Select the inequality shown

a)

1 < x < 4

b)

1 ≤ x < 4

c)

1 < x ≤ 4

d)

1 ≤ x ≤ 4

73.

Select the inequality shown

a)

0 < x < 5

b)

0 ≤ x < 5

c)

0 < x ≤ 5

d)

0 ≤ x ≤ 5

74.

Select the inequality shown

a)

0 < x < 3

b)

0 ≤ x < 3

c)

0 < x ≤ 3

d)

0 ≤ x ≤ 3

75.

Select the inequality shown

a)

-3 < x < 4

b)

-3 ≤ x < 4

c)

-3 < x ≤ 4

d)

-3 ≤ x ≤ 4

76.

Select the inequality shown

a)

-5 < x < -1

b)

-5 ≤ x < -1

c)

-5 < x ≤ -1

d)

-5 ≤ x ≤ -1

77.

Select all possible integer values for x

a)

0

b)

1

c)

2

d)

3

e)

0.5

78.

Select the inequality shown

a)

-3 < x < 4

b)

-3 ≤ x < 4

c)

-3 < x ≤ 4

d)

-3 ≤ x ≤ 4

79.

4x - 10 ≤ 22

a)

x ≤ 8

b)

x ≥ 8

c)

x ≤ 3

d)

x ≥ 3

80.

15 + 7x ≥ 29

a)

x ≥ 2

b)

x ≥ -2

c)

x ≤ 2

d)

x > 2

81.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

82.

Solve:
20< 4x

a)

x> 5

b)

x< 5

c)

x> 16

d)

x>24

83.

-2x + 3(-4x + 6) ≤116

a)

x ≤ -7

b)

x ≥ 29

c)

x ≥ -7

d)

x ≤ 29

84.

a)

£60.00

b)

£49.69

c)

£59.51

d)

£50.09

85.

a)

£64

b)

£100

c)

£106.67

d)

£60

86.

a)

£40.00

b)

£36.10

c)

£36.19

d)

£39.90

87.

a)

£42

b)

£15.12

c)

£35.28

d)

£18

88.

a)

£42

b)

£15.12

c)

£35.28

d)

£18

89.

a)

£75

b)

£48

c)

£50

d)

£72

90.

a)

£86.00

b)

£107.88

c)

£109.45

d)

£84.76

91.

a)

£28.00

b)

£13.72

c)

£15.08

d)

£25.48

92.

a)

£45.00

b)

£42.34

c)

£42.38

d)

£45.50

93.

Caiden earned $475 from mowing lawns last summer.He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?

a)

$827.52 (Mr. Williams)

b)

$831.10 (Mrs. Hoch)

c)

$839.45 (Mr. Krajunus)

d)

$846.80 (Ms. Palombo)

94.

Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?

a)

$6,273.50 frustrated

b)

$6,314.08 bewildered

c)

$6,385.72 pleased

d)

$6,427.94 tickled pink

95.

Your 3 year investment of $20,000 received 5.2% interest compounded annually. What is your total return?

a)

$23,285.05

b)

$3,285.05

c)

$2,385

d)

$32,285

96.

You borrowed $59,000 for 2 years at 11% which was compounded annually. What total will you pay back?

a)

$13,693.90

b)

$1,363.90

c)

$72,693.90

d)

$73,793.90

97.

Your 6 year investment of $40,000 at 14% interest compounded annually is worth how much now?

a)

$47,798.90

b)

$87,798.90

c)

$127,798

d)

$7,798

98.

Your $440 gets 5.8% interest compounded annually for 8 years. What will your $440 be worth in 8 years?

a)

$250.78

b)

$690.78

c)

$1,130

d)

$940.78

99.

You deposit $2,500 in a savings account.

What is the difference in the amount of interest that will be paid in each situation?

Option A) Interest rate of 8.25% simple interest for 2 years

Option B) Interest rate of 6.5% compounded annually for 2 years

a)

$769.40

b)

$335.56

c)

$76.94

d)

$68.52

100.

You deposit $5,000 in an account. What will be the difference between the interest paid?

A) Simple interest rate of 6.25% for 2.5 years

B) 5.5% rate compounded annually for 2.5 years

a)

$781.25

b)

$65.13

c)

$76.53

d)

$716.12

101.

You deposit $2,500 in a savings account.

What is the difference in the amount of interest that will be paid in each situation?

Option A) Interest rate of 8.25% simple interest for 2 years

Option B) Interest rate of 6.5% compounded annually for 2 years

a)

$769.40

b)

$335.56

c)

$76.94

d)

$68.52

102.

You take out a loan for $175,000. Which option will cost you less?

A) Simple Interest rate of 4.17% over 15 years

B) Compound Interest rate of 3.5% over 15 years

a)

Option A

b)

Option B

c)

they are both equal

103.

You invested $1,900 at 4% interest compounded annually for 3 years. How much interest did you earn in 3 years?

a)

$2,372.40

b)

$237.24

c)

$2,137.24

d)

$3,197.60

104.

Calculate

a)

5

b)

4.5

c)

8

d)

10

105.

Calculate

a)

8.6

b)

8.9

c)

9

d)

12

106.

Calculate

a)

8.3

b)

4

c)

3

d)

3.2

107.

Calculate

a)

10

b)

10.6

c)

10.4

d)

9.3

108.

a)

36.1

b)

36

c)

38.5

d)

32.1

109.

Calculate

a)

6.5

b)

8

c)

3

d)

4

110.

Calculate

a)

8.7

b)

12.3

c)

8.2

d)

9

111.

Calculate

a)

29.2

b)

14.2

c)

30

d)

32.2

112.

a)

6.99

b)

6.33

c)

13.59

d)

7.83

113.

a)

20.35

b)

12.72

c)

14.99

d)

21.83

114.

a)

38.66

b)

36.87

c)

53.13

d)

45.71

115.

a)

57.99

b)

51.32

c)

38.68

d)

32.00

116.

a)

9.28

b)

2.87

c)

2.97

d)

8.76

117.

a)

44.55

b)

22.69

c)

41.66

d)

38.49

118.

a)

44.55

b)

22.69

c)

41.66

d)

38.49

119.

a)

6.09

b)

18.77

c)

5.52

d)

7.68

120.

a)

39.89

b)

33.29

c)

56.71

d)

42.93

121.

a)

x = 33.06
y = 56.94

b)

x = 56.94
y = 33.06

c)

x = 62.63
y = 27.37

d)

x = 27.37
y = 62.63

122.

a)

x = 48.75
y = 69.63

b)

x = 69.63
y = 48.75

c)

x = 59.52
y = 60.68

d)

x = 60.68
y = 59.52

123.

a)

x = 399.88
y = 488.17

b)

x = 196.06
y = 341.82

c)

x = 341.82
y = 399.89

d)

x = 196.06
y = 399.89

124.

What are Bearings in maths?

a)

A bearing is an angle, measured clockwise from the north direction.

b)

A bearing is an angle, measured counter - clockwise from the north direction.

c)

A bearing is an angle, measured clockwise from the east direction.

d)

A bearing is an angle, measured counter - clockwise from the east direction.

e)

Any normal angle

125.

How do you measure a bearing?

a)

Mark North and use a protractor

b)

Mark East and use a protractor

c)

Mark North. Using a pair of compass, make a perpendicular bisector measuring 90 degrees. Make any two random bisectors and the point where they meet is the measure.

d)

Mark East. Using a pair of compass, make a perpendicular bisector measuring 90 degrees. Make any two random bisectors and the point where they meet is the measure.

126.

What is the measure of the angle with a Bearing of 45 degrees?

a)

315 degrees counter - clockwise

b)

45 degrees clockwise

c)

135 degrees clockwise

d)

45 degrees counter - clockwise

127.

Bearings are measured from North, Clockwise, using 3 digits

a)

True

b)

Flase

128.

What is
the correct bearing?

a)

30

b)

330

c)

030

d)

60

129.

Write the bearings of A from O

a)

125

b)

055

c)

035

d)

305

130.

Choose the correct true bearing

a)

75

b)

255

c)

195

d)

075

131.

What trigonometric ratio would be used to find the distance from the ship to the plane?

a)

sine

b)

cosine

c)

tangent

d)

inverse sine

132.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

133.

What trigonometric ratio would be used to find the distance from the ship to the plane?

a)

sine

b)

cosine

c)

tangent

d)

inverse sine

134.

The angle of 12^o is a(n)

a)

angle of elevation

b)

angle of depression

c)

neither

d)

both

135.

When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?

a)

1.2 m

b)

28.9 m

c)

6.1 m

d)

28.2 m

136.

After traveling 400m from a runway, a plane is 300m above the ground. Calculate its angle of elevation.

a)

50

b)

0.053

c)

36.9

d)

95

137.

2n⁴ /6n⁴

a)

1/3n

b)

3

c)

3n

d)

1/3

138.

a)

4/x

b)

x/4

c)

1/4x

d)

4x

139.

a)

A.

b)

B.

c)

C.

d)

D.

140.

Simplify:

a)

4(x+5)/3(x+5)

b)

4/3

c)

3/4

d)

x+5

141.

Simplify:

a)

x(x-5)/(x+5)(x-5)

b)

x/(x-5)

c)

x/(x+5)

d)

(x+5)/x

142.

Simplify:

a)

(x-3)/2

b)

2/(x-3)

c)

(x+3)/2

d)

2/(x+3)

143.

Simplify:

a)

1/x²

b)

x

c)

1/x

d)

x²

144.

Simplify:

a)

(y-4)/(y-3)

b)

(y+4)/(y+3)

c)

(y+3)/(y+4)

d)

(y-3)/(y-4)

145.

Simplify:

a)

4(x-3)/(x-7)

b)

4(x+3)/(x+7)

c)

4(x+3)(x-7)

d)

4(x-3)/(x+7)

146.

Simplify the algebraic fraction.

a)

-3/b

b)

-b/3

c)

3b

d)

-3b

147.

a)

6/5x

b)

6/5

c)

(x+3)/(x+2)

d)

(x+3)/(x-4)

Year 10 end of year quiz

Total questions: 147

Worksheet time: 6hrs 20mins

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