Free Printable Form 5 Mathematics Exam Paper 1

1.

The digit which has a value of tenth in 35.427 is:

a)

2

b)

3

c)

4

d)

5

2.

What is the missing number in the sequence: 2, 5, 8, __, 14?

a)

10

b)

11

c)

12

d)

13

3.

If A + 2 x 7 = 18, the value of A is:

a)

4

b)

9

c)

13

d)

32

4.

What is the sum of $1^2$ and $3^2$ ?

a)

8

b)

10

c)

11

d)

16

5.

If 'a' is an odd number, which of the following is also odd:

a)

a + 1

b)

a + 2

c)

2a

d)

a/2

6.

a)

3 : 4

b)

3 : 7

c)

4 : 3

d)

4 : 7

7.

When expressed to the nearest hundred 458 becomes:

a)

400

b)

450

c)

460

d)

500

8.

A sum of money is divided between Ken and Rose in the ratio 2 : 3. If Rose receives $90.00, find the sum of money shared.

a)

$ 54.00

b)

$ 60.00

c)

$ 135.00

d)

$ 150.00

9.

5% of $40.00

a)

$ 2.00

b)

$ 8.00

c)

$ 20.00

d)

$ 35.00

10.

The simple interest on $600.00 at 5% per year for two years is:

a)

$\frac{\text{}600.00\ \times\ 100\ \times\ 2}{\text{5}}$

b)

$\frac{\text{600.00 }\times\ 5\ \times\ 2}{\text{100}}$

c)

$\frac{\text{600.00 }\times\ 5}{\text{2 }\times\ 100}$

d)

$\frac{\text{600.00 }\times\ 100\ \times\ 5}{2}$

11.

Which of the following is the largest amount?

a)

5% of 500

b)

10% of 200

c)

15% of 150

d)

20% of 50

12.

There are 150 shops in a mall, of these 30% sell clothes. How many shops do not sell clothes?

a)

20

b)

45

c)

105

d)

130

13.

A new iPhone costs $1000.00. If the discount is 20%, how much would a customer pay for the iPhone?

a)

$ 200.00

b)

$ 800.00

c)

$ 1200.00

d)

$ 1980.00

14.

A dress costs $75.00. There is a 60% discount being applied to all items. What is the discounted price of the dress?

a)

$ 30.00

b)

$ 45.00

c)

$ 105.00

d)

$ 120.00

15.

Noah bought a blackberry for US $300.00. He sells it for EC $540.00. What is his loss in US dollars (US$1.00 = EC$2.70)?

a)

$100.00

b)

$240.00

c)

$270.00

d)

$271.00

16.

Use the information below to answer this item.

Prices at a local grocery store:

1 lb - $1.30

1 tin milk - $2.00

1 pack Kool-Aid - $0.50

What is the total cost of 2lbs of rice, 1 tin milk and 5 packs of Kool-Aid?

a)

$3.80

b)

$6.60

c)

$7.10

d)

$8.80

17.

Round 0.010229 to four significant figures.

a)

1022

b)

1023

c)

0.01023

d)

0.01022

18.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

0.5 x 10³

19.

Given g(x) = 4 - 2x, what is the value of g(- 3)?

a)

- 2

b)

- 19

c)

10

d)

27

20.

Given that f(x) = 3x - 5, find the value of x when f(x) = 7.

a)

16

b)

32

c)

21

d)

4

21.

What is the gradient of a line which passes

through the points (–4, 3) and (–2, 5)?

a)

2

b)

3

c)

4

d)

5

22.

If h is a function such that h(x) = 3x + 2,

which of the following coordinates satisfies

the function?

a)

(0, 3)

b)

(1, 6)

c)

(2, 8)

d)

(3, 10)

23.

Three times the difference of two numbers,

a and b, may be written as

a)

3a - b

b)

3(a - b)

c)

a - 3b

d)

3ab - 2

24.

What is the mode of the set of numbers 25, 16, 9, 25, 9, 16, 8, 16, 13?

a)

9

b)

13

c)

16

d)

25

25.

What is the median of the set of numbers 6, 17, 1, 13, 5, 12?

a)

1

b)

7

c)

9

d)

13

26.

What is the mean of the numbers 6, 25, 8, 2, 14, 1, 7?

a)

2

b)

8

c)

9

d)

14

27.

The equation of the line which passes through the point (3, 5) and has a gradient of 7 is

a)

y = 7x + 5

b)

y = 7x + 3

c)

y = 7x - 16

d)

y = 7x - 8

28.

$Simplify\ \frac{8x-5}{3}-\frac{x-4}{2}$

a)

$\frac{13x+2}{6}$

b)

$\frac{13x+1}{3}$

c)

$\frac{19x+22}{6}$

d)

$\frac{2x+3}{3}$

29.

The mean of nine numbers is 47. If one

of the numbers is 39, what is the mean

of the other eight?

a)

38

b)

39

c)

47

d)

48

30.

If 3(x – 4) – 2x = - 13, then x =

a)

- 2

b)

- 1

c)

3

d)

4

31.

How many litres of water would a

container whose volume is 29 cubic centimetre hold?

a)

0.029 litres

b)

0.29 litres

c)

29 litres

d)

2900 litres

32.

A circular hole with diameter 8 cm is
cut from a circular piece of card with
a diameter of 10 cm. The area of the
remaining card, in square centimetres, is

a)

$1\pi\ cm^2$

b)

$8\pi\ cm^2$

c)

$9\pi\ cm^2$

d)

$18\pi\ cm^2$

33.

P and Q are two finite sets such that

n(P) = 9, n(Q) = 7 and n(P ∪ Q) = 12.

What is n(P ∩ Q)?

a)

2

b)

3

c)

4

d)

5

34.

ABCD is a trapezium and ADE is a

triangle. Angles B, C and E are right

angles. AB = 7 cm, BC = 4 cm and CD = 5 cm. The area of the trapezium ABCD is

a)

$6\ cm^2$

b)

$12\ cm^2$

c)

$24\ cm^2$

d)

$48\ cm^2$

35.

A man leaves home at 18:23 hrs and

reaches his destination at 01:15 hrs. On

the following day, in the same time zone.

How long did the journey take?

a)

5 hrs. 8 mins.

b)

6 hrs. 38 mins.

c)

7 hrs. 38 mins.

d)

6 hrs. 42 mins.

36.

Which of the following sets has a finite

number of members?

a)

P = {prime numbers greater than 25}

b)

C = {composite numbers between 0 and 500}

c)

M = {multiples of 3 greater than 7}

d)

F = {fractions between 1 and 400}

37.

How much simple interest is due on a

loan of $3,400 for three years if the annual

rate of interest is 2.75 per cent?

a)

$280.50

b)

$9,350.00

c)

$28,050.00

d)

$3,680.50

38.

The Water Authority charges $12.00

per month for the meter rent, $20.00

for the first 100 litres and $3.00 for each

additional 10 litres.

What is the total bill for 300 litres used

in one month?

a)

$60.00

b)

$32.00

c)

$80.00

d)

$92.00

39.

The area of a square is 256 cm². What is the length of one side of the square?

a)

128 cm

b)

64 cm

c)

32 cm

d)

16 cm

40.

A boat was travelling on a bearing of 270⁰. In what direction was it travelling?

a)

East

b)

West

c)

North

d)

South

41.

If the sum of the interior angles of a polygon is 4 right angles, then the polygon is a?

a)

triangle

b)

hexagon

c)

pentagon

d)

quadrilateral

42.

A boy stands 12 m from the foot of a building and observes the angle of elevation at the top of the building, (as shown in the diagram above. The approximate height of the building is?

a)

$12\ \tan40\degree$

b)

$1.6+12\ \sin40\degree$

c)

$1.6+12\ \cos\ 40\degree$

d)

$1.6+12\ \tan40\degree$

43.

In the isosceles triangle above, the value of x is

a)

$40\degree$

b)

$80\degree$

c)

$100\degree$

d)

$140\degree$

44.

The diagram above refers to the question below. With centre A, an arc BC is drawn. With centre B, the same radius, the arc PQ is drawn. What is the measure of <BAC?

a)

$30\degree$

b)

$45\degree$

c)

$60\degree$

d)

$75\degree$

45.

in the diagram above AB and CD are parallel. Which of the following best describes the relationship between x and y?

a)

$x=y$

b)

$x>y$

c)

$x+y>2x$

d)

$x+y<2x$

46.

In the triangle above the value of x is?

a)

$30\degree$

b)

$60\degree$

c)

$120\degree$

d)

$150\degree$

47.

A plane is flying in a direction of 045⁰ and changes course in a clockwise direction to 135⁰. the angle through which the plane turns is?

a)

$45\degree$

b)

$90\degree$

c)

$135\degree$

d)

$270\degree$

48.

Which of the following statements best describe an equilateral triangle?

i. all sides are equal

ii. all angles are equal

iii. two sides are equal

iv. two angles are equal

a)

i and ii only

b)

ii and iii only

c)

iii only

d)

iv only

49.

from the triangle above: not drawn to scale, angle BAC=30⁰ and AB=40m. The length BC, in metres, is

a)

$40\sin\ 30\degree$

b)

$40\ \tan\ 30\degree$

c)

$40\ \sin\ 60\degree$

d)

$40\ \tan\ 60\degree$

50.

The next term in the sequence 1, 8, 17, 28, 41 is

a)

48

b)

50

c)

52

d)

56

51.

The square root of 175 lies between

a)

13 and 14

b)

12 and 15

c)

12 and 13

d)

14 and 15

52.

By the distributive law 57 x 21 + 57 x 19 =

a)

78 + 76

b)

78 x 76

c)

57 + 40

d)

57 x 40

53.

The largest prime number that is less than 90 is

a)

89

b)

88

c)

87

d)

86

54.

a)

3x² - 6x - 8

b)

3x² - 2x - 8

c)

3x² + 10x + 8

d)

3x² - 10x + 8

55.

a)

$\frac{41x}{35y}$

b)

$\frac{41x^2}{35y}$

c)

$\frac{41xy}{35y}$

d)

$\frac{20x\ +\ 21y}{35y}$

56.

The scale of a plan is 1 cm: 3 m. what are the dimensions of a covered court that is 11 cm by 7 cm on the plan?

a)

7 m by 11m

b)

11 m by 21m

c)

7 m by 21 m

d)

33 m by 21 m

57.

A rectangular school yard is 142 m by 112 m. How many times must a runner go around the yard completely to make sure he has run 5 kilometers?

a)

8

b)

9

c)

10

d)

11

58.

The base ten equivalent of 1101₂ is

a)

25

b)

12

c)

13

d)

15

59.

The total number of subsets of

W = {9, 10, 11, 12, 13, 14, 15} is

a)

32

b)

64

c)

128

d)

256

60.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

Form 5 Mathematics Exam Paper 1

Total questions: 60

Worksheet time: 3hrs 0mins

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