Free Printable Mathematics Paper 1

1.

0.001603 is written as 1.603 X 10ⁿ in the standard form. State the value of n.

a)

2

b)

3

c)

4

d)

5

2.

Find the product 0.0389 X 0.7. Round off the answer correct to two significant figures.

a)

0.027

b)

0.028

c)

0.03

d)

0.02

3.

Given 4(m - 1) + m = 31 - 2m, find the value of m.

a)

22/5

b)

32/7

c)

5

d)

15

4.

If A = {1,3,5,7,9} and B={2,3,5,7}, what is A∪B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

5.

7 - 2(3 - y)² =

a)

1 - 6y + y²

b)

14 - 6y - y²

c)

-11 + 12y - 2y²

d)

-11 + 12y + 2y²

6.

How many subsets will this set have? W= {a, b, c} ?

a)

8

b)

6

c)

3

d)

0

7.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

8.

The diagram shows a ladder which leans against the wall AB. Find the height of the wall AB.

a)

5 m

b)

8.66 m

c)

10 m

d)

11.54 m

9.

17,2,2,5,3,19,11,13,2,7,17

What is the mode and median in the data above?

a)

17 and 7

b)

17 and 19

c)

2 and 19

d)

2 and 7

10.

What is the probability of getting prime numbers when a dice is tossed?

a)

1/6

b)

1/3

c)

1/2

d)

2/3

11.

A bus took 2 hours 24 minutes to travel 198 km. Calculate the average speed, in km/h, of the bus.

a)

72

b)

76

c)

80.5

d)

82.5

12.

12, 19, 26,...

State the tenth term.

a)

68

b)

75

c)

82

d)

89

13.

$Simplify\ \frac{3a}{4}-\frac{b}{5c}$

a)

$\frac{3a-b}{20c}$

b)

$\frac{15ac-4}{20c}$

c)

$\frac{15ac-4b}{20c}$

d)

$\frac{15ac+b}{20c}$

14.

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

a)

10

b)

11

c)

12

d)

13

15.

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

a)

4

b)

9

c)

13

d)

32

16.

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

a)

8

b)

10

c)

11

d)

16

17.

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

a)

a + 1

b)

a + 2

c)

2a

d)

a/2

18.

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

19.

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)

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

20.

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

21.

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

22.

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

23.

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

24.

If a man goes 15 m due north and then 8 m due east, then his distance from the starting point to his end point is :

a)

7 m

b)

17 m

c)

23 m

d)

120 m

25.

The base and height of a right angle triangle have a length of 24 cm and 10 cm, respectively. What is the length of the hypotenuse?

a)

13 cm

b)

26 cm

c)

14 cm

d)

34 cm

26.

Factorize 16 - 25m²

a)

(4 - 5m)(4 - 5m)

b)

(4m - 5)(4m + 5)

c)

(4 - 5m)(4 + 5m)

d)

(4 + 5m)(4 + 5m)

27.

Find the gradient of the line segment D(-2, 3) to E(- 1, - 4) .

a)

- 7

b)

- 1

c)

1

d)

7

28.

What is the mid-point of the line segment P(5, - 7) and Q(- 3, - 1) ?

a)

(- 4, 1)

b)

(1, - 4)

c)

(2, - 8)

d)

(- 8, 2)

29.

$Simplify\ 4\frac{2}{3}+1\frac{1}{2}\times1\frac{1}{3}$

a)

$6\frac{2}{3}$

b)

$8\frac{2}{9}$

c)

$7\frac{1}{2}$

d)

$5\frac{1}{3}$

30.

$What\ is\ the\ value\ of\ \frac{\sqrt{9+16}}{7^2+1}?$

a)

1.10

b)

0.10

c)

0.14

d)

4.30

31.

Joy is on vacation in the USA. She changes US $450 to

European Union (EU) dollars. She receives EU $500. How much US dollars would she receive for EU $1?

a)

US $0.90

b)

US $1.11

c)

US $50.00

d)

US $950.00

32.

$Solve\ 2x^2+4x-6=0$

a)

$x=-1\ or\ x\ =\ 3$

b)

$x=1\ or\ x=3$

c)

$x\ =\ 1\ or\ x\ =-3$

d)

$x=-1\ or\ x=-3$

33.

$Make\ w\ the\ subject\ in\ d=\sqrt{2w-y}$

a)

$w=\frac{d^{ }+y^2}{2}$

b)

$w=\frac{d^2-y}{2}$

c)

$w=\frac{d^{ }+y^2}{2}$

d)

$w=\frac{d^2+y}{2}$

34.

What is the image of B(-2, -3), when it is reflected in the x-axis?

a)

$B^1\left(-2,\ 3\right)$

b)

$B^1\left(-2,\ -3\right)$

c)

$B^1\left(2,-3\right)$

d)

$B^1\left(2,\ 3\right)$

35.

$Given\ g\left(x\right)=5-3x,\ what\ is\ g\left(-4\right)?$

a)

g(-4) = -7

b)

g(-4) = - 2

c)

g(-4) = 17

d)

g(x) = 8

36.

Given h(x) = 2x + 3 and f(x) = x²- 4, find fh(1) .

a)

fh(1) = -3

b)

fh(1) = 5

c)

fh(1) = 9

d)

fh(1) = 21

37.

$Given\ f(x)=3x+2,\ then\ f^{-1}\left(x\right)$

a)

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

b)

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

c)

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

d)

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

38.

Given f(x) = 2 - 3x, then ff ^-1(5) =

a)

-13

b)

-1

c)

0

d)

5

39.

In triangle ABC, angle A = x⁰ and angle

B = 2x^o. What is the size of angle C?

a)

30⁰

b)

60⁰

c)

(180 - 3x)⁰

d)

$\left(\frac{180}{3x}\right)^0$

40.

The range of f(x) = - x² for the domain

{-2, -1, 0, 1, 2} is

a)

{1, 4}

b)

{- 4, - 1, 0}

c)

{- 4, - 1, 1, 4}

d)

{- 4. - 1, 0, 1, 4}

41.

Which of the following points lies on

the line y = 2x - 3?

a)

(2, 3)

b)

(4, 1)

c)

(0, - 3)

d)

(- 2, - 1)

42.

If the mean of the four numbers 4, 8, x

and 12 is 10, then x is

a)

4

b)

10

c)

12

d)

16

43.

The median of the numbers

1, 3, 4, 5, 5, 9, 9, 9, 9, l0 is

a)

6.4

b)

7

c)

8

d)

9

44.

Each of the letters of the word

'CHANCE' is written on a slip of

paper similar in size and shape. The

slips of paper are then placed in a bag

and thoroughly shaken. What is the

probability of randomly drawing a letter

'C'?

a)

$\frac{1}{6}$

b)

$\frac{1}{5}$

c)

$\frac{1}{3}$

d)

$\frac{2}{3}$

45.

A cylinder has a height of 20 cm and a diameter of 6 cm. The volume, in cm³, of the cylinder is

a)

$180\pi$

b)

$240\pi$

c)

$360\pi$

d)

$720\pi$

46.

The perimeter of a square is 52 cm. What

is the area, in cm²?

a)

39

b)

78

c)

169

d)

196

47.

The area of a triangle is 60 cm²and its

base is 12 cm. What is the perpendicular

height, in cm, of the triangle?

a)

5

b)

10

c)

13

d)

17

48.

Fifty guests each had 2 glasses of

champagne. Each glass held

150 millilitres. How many litres of

champagne were used?

a)

0.15

b)

1.5

c)

15

d)

150

49.

ln a sector, the length of the minor arc,

PQ, is 8 cm and the minor sector angle is 60⁰. What is the circumference of the circle, in cm?

a)

16 cm

b)

24 cm

c)

48 cm

d)

64 cm

50.

James saves $x each month, but in March

he saved $5 less than twice his usual

amount. In March, James saved

a)

$5x

b)

$10x

c)

$(x - 5)

d)

$(2x - 5)

51.

Two tonnes, 54 kilograms is the same as

a)

56 kg

b)

254 kg

c)

2,054 kg

d)

20,054 kg

52.

$If\ m\cdot n\ =\sqrt{m^2-n^2},\ then\ 5\cdot3\ =\$

a)

2

b)

4

c)

$\sqrt{8}$

d)

$\sqrt{34}$

53.

$Simplify\ 2^6\div2^2$

Simplify 26

a)

$2^3$

b)

$2^4$

c)

$2^8$

d)

$2^{12}$

54.

(8a)² is the same as

a)

16a

b)

16a²

c)

64a

d)

64a²

55.

$lf\ x=4\ and\ y=2,\ what\ is\ the\ value\ of\ \frac{x^2+3y}{xy}?$

a)

$1\frac{3}{4}$

b)

$2\frac{1}{2}$

c)

$2\frac{3}{8}$

d)

$2\frac{3}{4}$

56.

If x is an integer that satisfies the inequality - 8 < 2x < 10, then

a)

$-\ 4<x\ \le5$

b)

$-\ 4\ \le x\ <\ 5$

c)

$-\ 4\ <x<5$

d)

$-\ 4\le x\le5$

57.

99 x 101 has the same value as

a)

(99 x 100) + 1

b)

(99 x 100) - (99 x 1)

c)

(99 x 100) + (99 x 1)

d)

(99 x 100)(99 x 1)

58.

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

a)

East

b)

West

c)

North

d)

South

59.

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)

$40\ \tan\ 60\degree$

60.

Which ratio below represents tan ratio?

a)

$\frac{opposite}{adjacent}$

b)

$\frac{adjacent}{hypotenuse}$

c)

$\frac{opposite}{hypotenuse}$

d)

$\frac{adjacent}{opposite}$

Mathematics Paper 1

Total questions: 60

Worksheet time: 5hrs 0mins

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