Free Printable S3 Exam Revision

1.

How many significant figures are there in 1008 grams?

a)

1

b)

2

c)

3

d)

4

2.

How many significant figures are there in 0.0054 grammes?

a)

2

b)

3

c)

4

d)

5

3.

How many significant figures are there in 0.020 metres?

a)

1

b)

2

c)

3

d)

4

4.

How many significant figures: 0.001 ounces

a)

4

b)

3

c)

2

d)

1

5.

What is 78.5 rounded to one significant figure?

a)

8

b)

70

c)

79

d)

80

6.

Round 0.010229 to four significant figures

a)

1022

b)

1023

c)

0.01023

d)

0.01022

7.

Round 1047.78 to three significant figures.

a)

104

b)

105

c)

1050

d)

1050.00

8.

What is 375.6523 to four significant figures?

a)

375.0

b)

375.00

c)

375.7

d)

375.6

9.

Round 345 000 to 1 s.f

a)

400 000

b)

3

c)

300 000

d)

350 000

10.

Round 2095 to 2 s.f

a)

21

b)

2000

c)

2100

d)

3000

11.

Round 0.000019 to 1 s.f

a)

0.000020

b)

0.00001

c)

0.00002

d)

0.0002

12.

Round 1.08945 to 3 s.f

a)

1.089

b)

1.090

c)

1.09

d)

1.08

13.

Round off 35.089 to 1 significant figures.

a)

4

b)

30

c)

40

d)

40.000

14.

Round off 1.03028 to 4 significant figures.

a)

1.030

b)

1.0302

c)

1.03000

d)

1.03020

15.

Round off 96.011 to 3 significant figures.

a)

90

b)

96

c)

96.0

d)

96.000

16.

Round 1047.78 to three sig figs

a)

104

b)

105

c)

1050

d)

1050.00

17.

Round 0.010229 to four significant figures

a)

1022

b)

1023

c)

0.01023

d)

0.01022

18.

Round 1009 to three significant figures

a)

100

b)

101

c)

1010

d)

1000

19.

What is 78.5 rounded to one significant figure?

a)

79

b)

8

c)

78

d)

80

20.

Round 1289 to three significant figures

a)

1290

b)

130

c)

1300

d)

129

21.

Work out the length BH in metres

a)

0.0839m

b)

0.1305m

c)

0.0766m

d)

0.1166m

22.

Work out the size of angle FBH

a)

51°

b)

33°

c)

50°

d)

57°

23.

Calculate the length of AG.

Give your answer correct to 3 significant figures.

a)

0.299 feet

b)

0.288 feet

c)

0.282 feet

d)

0.299 feet

24.

Calculate the angle DAE.

Give your answer to 1 decimal place.

a)

43.7°

b)

21.0°

c)

39.3°

d)

35.8°

25.

Calculate the length of DF to 2 decimal places.

a)

0.34 metres

b)

0.30 metres

c)

0.25 metres

d)

0.52 metres

26.

Calculate the length AC in metres.

a)

0.16m

b)

0.057m

c)

0.051m

d)

0.058m

27.

Shown below is a square-based pyramid.
Calculate angle CAE.

a)

57.05°

b)

57.42°

c)

23.1°

d)

45.57°

28.

Find length x in metres.

a)

50√2 metres

b)

50 metres

c)

100 metres

d)

25 metres

29.

Shown below is a triangular prism.

Triangle ABC is a right-angled triangle.

Find the length of CE.

a)

9.44 metres

b)

9.54 metres

c)

9.43 metres

d)

8.94 metres

30.

Using the formula. Find the volume of this cone.

a)

41.47oz

b)

10.35oz

c)

9.52oz

d)

38.11oz

31.

Find the length BH.

Give your answer correct to 1 decimal place.

a)

20.3 cm

b)

20.2 cm

c)

12.4 cm

d)

12.5 cm

32.

Simplify fully:
√32

a)

4√8

b)

16√2

c)

4√2

d)

4√4

33.

Simplify fully:
√120

a)

4√30

b)

2√30

c)

12√10

d)

6√10

34.

Simplify fully:
√216

a)

2√108

b)

4√54

c)

6√6

d)

18√6

35.

Simplify fully:
√32 + 5√32

a)

6√32

b)

24√8

c)

24√2

d)

6√8

36.

Simplify fully:
√32 + √12

a)

4√2 +2√3

b)

6√5

c)

√44

d)

2√11

37.

Write the following entirely as a surd:
2√5

a)

√20

b)

√10

c)

√50

d)

√100

38.

Simplify completely:
2√3 + 4√3

a)

6√3

b)

6√6

c)

8√3

d)

8√6

39.

Simplify completely:
√27 + 2√3

a)

5√3

b)

√27 + 2√3

c)

11√3

d)

2√81

40.

Simplify $ \sqrt{27} + 10\sqrt{3} $

a)

13\sqrt{3}

b)

10\sqrt{30}

c)

13\sqrt{6}

d)

11\sqrt{3}

41.

2√5 - √5 + 4√5 + √3

a)

6√5 + √3

b)

5√5 + √3

c)

6√5

d)

6√3

42.

Simplify:
√5 x √6

a)

2√15

b)

√11

c)

√30

d)

3√10

43.

Simplify the following surd...

a)

3√2

b)

2√3

c)

9√2

d)

3√6

44.

Simplify the following surd...

a)

6√2

b)

2√6

c)

8√2

d)

4√6

45.

Simplify the following surd...

a)

4√2

b)

2√3

c)

6√2

d)

4√3

46.

Simplify the following surd...

a)

5√2

b)

5√3

c)

2√5

d)

10√5

47.

Simplify the following surd...

a)

2√2

b)

4√2

c)

2√4

d)

3√2

48.

Simplify the following surd $ \sqrt{27} $

a)

7√2

b)

3√5

c)

9√3

d)

3√3

49.

Simplify the following surd $ \sqrt{75} $.

a)

5√5

b)

3√5

c)

15√3

d)

5√3

50.

Simplify the following surd...

a)

5√5

b)

3√5

c)

9√3

d)

5√3

51.

Simplify the following surd...

a)

7√7

b)

3√7

c)

9√7

d)

7√3

52.

Simplify the following surd...

a)

4√2

b)

8√2

c)

2√4

d)

2√8

53.

Simplify the following surd...

a)

10√2

b)

8√2

c)

2√8

d)

5√8

54.

Simplify the following surd...

a)

6√2

b)

2√18

c)

2√8

d)

3√8

55.

Expand and simplify ...

(2 + √2)(5 + √2)

a)

12 + 7√2

b)

12 + √2

c)

12 + 10√2

d)

14 + 7√2

56.

Expand and simplify ...

(3 + 2√2)(1 + 3√2)

a)

15 + 11√2

b)

15 + 5√2

c)

5 + 11√2

d)

5 + 5√2

57.

Rationalise the Denominator: $\frac{3}{\sqrt[]{5}}$

a)

$\frac{3\ \sqrt[]{5}}{5}$

b)

$\frac{3\ \sqrt[]{5}}{25}$

c)

$\frac{\sqrt[]{5}}{5}$

d)

$\frac{\sqrt[]{5}}{3}$

58.

Rationalise the Denominator: $\frac{\left(3+\sqrt[]{4}\right)}{\sqrt[]{2}}$

a)

$\frac{5\ \sqrt[]{2}}{2}$

b)

$\frac{\left(3\ \sqrt[]{2}\ +\sqrt[]{8}\right)}{2}$

c)

$\frac{\left(3\ \sqrt[]{2}\ +\sqrt[]{8}\right)}{4}$

d)

$\frac{\left(3\ \sqrt[]{2}\ +\sqrt[]{3}\right)}{2}$

59.

Simply the following by to rationalising the denominator: $\frac{7}{3\ \sqrt[]{6}}$

a)

$\frac{7\ \sqrt[]{6}}{18}$

b)

$\frac{7\ \sqrt[]{6}}{3}$

c)

$\frac{21\ \sqrt[]{6}}{18}$

d)

3 - √6

60.

What is the gradient of the line
y = 2x - 3?

a)

2

b)

-3

c)

3

d)

2x

61.

Which of these lines will intercept the y-axis at 5?

a)

y = 5x

b)

y = x - 5

c)

5y = 5x + 5

d)

y = x + 5

62.

What is the y-intercept of the line
y = 4x - 6?

a)

4

b)

4x

c)

6

d)

-6

63.

Which of these lines has a negative gradient?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

64.

What is the gradient of this line?

a)

2

b)

½

c)

-½

d)

-3

65.

What is the y-intercept of this line?

a)

2

b)

3

c)

-3y

d)

-3

66.

What is the equation of this line?
_{(in the form y = mx + c)}

a)

y = -3x + 2

b)

y = 2x - 3

c)

y = 2x + 3

d)

y = -2x - 3

67.

Which of these lines is
y = 5?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

68.

Which of these lines has a gradient of ½?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

69.

Which of these
co-ordinates lie on the line
y = 3x - 8?

a)

(5, 8)

b)

(0, 8)

c)

(2, -2)

d)

(1, 5)

70.

The point A on the line
y = 3x - 7
has an x co-ordinate of 4.
What is the y co-ordinate of A?

a)

-4

b)

5

c)

0

d)

4

71.

What is the gradient of this line?

a)

Undefined

b)

0

c)

1

d)

-1

72.

Find the gradient of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

73.

What is the equation of this line?

a)

y = -1x+3

b)

y = 4x+3

c)

y =1/4x+3

d)

y = -4x+3

74.

What is the gradient of the line
y = 2x - 3?

a)

2

b)

-3

c)

3

d)

2x

75.

Which of these lines is
y = 5?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

76.

y = mx + c, m refers to the

a)

gradient

b)

X intercept

c)

co ordinate

77.

Another name for gradient is

a)

Y axis

b)

slope

c)

X axis

78.

Which of these lines has a negative gradient?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

79.

a)

y = - x - 1

b)

y = - 1

c)

x = -1

d)

y = - x

80.

3 workers build a wall in 12 hours. How long would it have taken for 6 equally productive workers?

a)

6

b)

12

c)

36

d)

48

81.

It takes 14 hours for a faucet with a flow of 18 liters per minute to fill a reservoir with water. How long will it take if its flow is reduced to 7 liters per minute?

a)

32

b)

14

c)

36

d)

24

82.

If 35 men can reap a field in 8 days; in how many days can 20 men reap the same field?

a)

35

b)

7

c)

28

d)

14

83.

8 cows can graze a field in 28 days. How long would 4 cows take to graze the same field?

a)

48

b)

56

c)

36

d)

40

84.

If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

a)

24

b)

32

c)

48

d)

36

85.

12 men can dig a pond in 8 days. How many men can dig it in 6 days?

a)

20

b)

15

c)

16

d)

24

86.

It takes 4 people 2 days to paint a wall. How long would it take if we got8 people to do it?

a)

1

b)

4

c)

8

d)

6

87.

7 men can complete a work in 52 days. In how many days will 13 men finish the same work ?

a)

36

b)

28

c)

42

d)

56

88.

A book contains 120 pages and each page has 35 lines . How many pages will the book contain if every page has 24 lines per page ?

a)

185

b)

125

c)

175

d)

150

89.

David can complete a work in 6 days working 8 hours per day. If he works 3 hours per day, how many days will he take to complete the work ?

a)

12

b)

32

c)

24

d)

16

90.

Which graph represents an inverse proportion relationship?

a)

b)

c)

d)

91.

Given that y is inversely proportional to x, what is the general equation?

a)

b)

c)

d)

92.

Which statement best describes an inverse proportion relationship between y and x?

a)

y increases then x will decrease

b)

y increases then x will increase

c)

y increases then x will remain the same

d)

y decreases then x will decrease

93.

In the great Amazon forest, the number of hunters, y and the number of animals, x. Is this relationship an inverse proportion relationship?

a)

No

b)

Yes

c)

I don't know

94.

6 men can paint a building in 15 days. Find the number of days taken for 5 men to paint the same building.

a)

10

b)

14

c)

18

d)

22

95.

If 8 men can assemble 28 cars in one day, how many cars can 20 men assemble in one day?

a)

60

b)

70

c)

80

d)

90

96.

Given that y is inversely proportional to x and y =0.25 when x =4, find the value of y when x =5.

a)

0.1

b)

0.2

c)

1

d)

2

97.

Ten identical pipes turned on simultaneously can fill a swimming pool in 9 hours. How long will it take 6 pipes to fill the same swimming pool?

a)

12

b)

13

c)

14

d)

15

98.

12 men can dig a pond in 8 days. How many men can dig it in 6 days?

a)

20

b)

15

c)

16

d)

24

99.

A is directly proportional to the square of B

a)

$A\propto B$

b)

$A\propto B^2$

c)

$A\propto\sqrt{B}$

d)

$A\propto B^3$

100.

A is inversely proportional to B

a)

$A\propto\frac{1}{B}$

b)

$A\propto\frac{1}{B^2}$

c)

$A\propto\frac{1}{\sqrt{B}}$

d)

$A\propto\frac{1}{B^3}$

101.

Five oranges cost 90 cents. Find the cost of 12 oranges.

a)

$2.16

b)

$2.15

c)

$1.16

d)

$2.00

102.

Dylan earns $18.60 in three hours. How much will he earn in eight hours?

a)

$48.60

b)

$49.20

c)

$49.60

d)

$50

103.

It takes 14 hours for a faucet with a flow of 18 liters per minute to fill a reservoir with water. How long will it take if its flow is reduced to 7 liters per minute?

a)

32

b)

14

c)

36

d)

24

104.

Ten identical pipes turned on simultaneously can fill a swimming pool in 9 hours. How long will it take 6 pipes to fill the same swimming pool?

a)

12

b)

13

c)

14

d)

15

105.

If four video tapes cost $3.20, what would ten video tapes cost?

a)

$8

b)

$10

c)

$6

d)

$5

106.

Val has a recipe for making 12 flapjacks.

100 g margarine

4 tablespoons golden syrup

80 g granulated sugar

200 g rolled oats

What is the recipe for 6 flapjacks?

a)

30 g margarine, 2 tbsp golden syrup,

40 g sugar, 100 g oats

b)

50 g margarine, 2 tbsp golden syrup,

40 g sugar, 120 g oats

c)

50 g margarine, 4 tbsp golden syrup,

40 g sugar, 100 g oats

d)

50 g margarine, 2 tbsp golden syrup,

40 g sugar, 100 g oats

107.

Greg the baker sells bread rolls in pack of 6 for $1.

Dom the baker sells bread rolls in packs of 24 for $3.19.

The packs cannot be split.

I have $5 to spend on bread rolls.

How many more can I buy from Greg than from Dom?

a)

5

b)

6

c)

7

d)

4

108.

Ayesha wants to buy some bottles of lemonade for a party. She can afford 20 bottles at $2.50 each. How many can she afford if they cost $2?

(a)

109.

A group of people hire a coach for a day. If 10 people share the cost it will be 48 dollars each.

How much will it cost per person if:

a 20 people share the cost?

b 15 people share the cost?

a)

a 24 dollars

b)

b 34 dollars

c)

a 22 dollars

d)

b 32 dollars

110.

A tank is used to store water. If water is used at a rate of 100 litres/day the tank will be empty in 40 days. How long will the water last if it is used at a rate of 350 litres/day?

a)

about 11.6

b)

about 9.8

c)

about 11.4

d)

exactly 11.4

111.

David can complete a work in 6 days working 8 hours per day. If he works 3 hours per day, how many days will he take to complete the work ?

a)

12

b)

32

c)

24

d)

16

112.

In a hostel, 75 students had food provision for 24 days. If 15 students leave the hostel, for how many days would the food provision last?

a)

20

b)

25

c)

55

d)

30

113.

7 taps of the same size fill a tank in 1 hour 36 minutes. How long will 8 taps of the same size take to fill the tank?

a)

1 hr 20 min

b)

2 hr 24 min

c)

3 hr 35 min

d)

1 hr 24 min

114.

Identify whether the given relation is Direct or Indirect Proportion?
The number of workers on a job and the time to complete the job

a)

Direct Proportion

b)

Indirect Proportion

115.

Distance a rock is dropped and time taken to fall.

a)

Directly Proportional

b)

Inversely Proportional

c)

Neither

116.

Speed of car and time taken to arrive at destination.

a)

Directly Proportional

b)

Inversely Proportional

c)

Neither

117.

Distance from the sun and brightness.

a)

Directly Proportional

b)

Inversely Proportional

c)

Neither

118.

Number of people painting a fence and time taken.

a)

Directly Proportional

b)

Inversely Proportional

c)

Neither

S3 Exam Revision

Total questions: 118

Worksheet time: 10hrs 50mins

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