1. Which of the following statements describe a set?

x+3
6. Given that g(x) = 2x+1, and f(x) = , gf(x) =
A) Tall girls in 4th form 2
B) Girls in the school choir A) x
C) Girls who can sing well B) x + 2
D) Girls who are good in sports C) x + 4
D) 2x + 7
2. In the Venn diagram below, the shaded portion
represents 7. Which of the following quadratic functionss does the
graph below represent?

A) A  B B) A  B C) A’ B’ D) A’ B’

3. Of a group of 80 students, 42 students take Biology,

24 take Chemistry, and 4 students take both Biology
and Chemistry. How many students in this class are A) y = ( x+1 ) (x – 3)
not enrolled in either Biology or Chemistry? B) y = – (x+1) (x – 3)
C) y = (x – 1) ( x + 3 )
A) 10 B) 12 C) 14 D) 18 D) y = – (x – 1) ( x + 3)

4. Perpendicular lines have gradients 8. 4,876,250 written to five significant figures is

A) whose product is 1
B) whose sum is 1 A) 48,763 B) 4,876,000
C) that are reciprocal of each other C) 4,876,300 D) 5,000,000
D) whose product is –1
9. For which value of k is the following equation true?
5. Which graph represents a function? 4,523,800,000 = 4.5238 x 10 k
A) C)
A) 5 B) 8 C) 9 D) 10

10. 0.375 as a fraction is

3 3 3 37
A) B) C) D)
B) D) 10 8 9 100

11. At the beginning of a class period, half of the

students in a class go to the library. Later in the
period, half of the remaining students go to the
computer lab. If there are 8 students remaining in
the class, how many students were originally in the
class?
A) 12 B) 16 C) 24 D) 32
2016 ATLIB MAT 10 1 Turn this page.
12. Which is correct? D) 2a 2
2 2 2 a−2b
A) > > 20. If a =1 and b = – 2, then
5 4 3 ab
11 7 5 −5
B) < < A)
12 12 12 2
1 1 1 −3
C) > > B)
2 3 4 2
6 9 1 3
D) < < C)
10 20 5 4
5
D)
13. What are the factors of 12? 3
A) 1,2,3,4,6, 12
B) 1,2,3,4,6,8,10,12 21. The range of values of v when 5 – v < 2v –1
C) 2,3,4,6,12 A) v < 2 B) v < 2 C) v > 2 D) v > 2
D) 2,3,4,6,8,10,12
22. 8x – 4 (x – 5) =
14. Which of the following is a prime number? A) 4x + 20 B) 4x – 20 C) 4x + 5 D) 4x2 – 20x

A) 31 B) 33 C) 35 D) 39 3 x +1 x +1
23. +
2 4
15. Three emergency lights flash at intervals of 4,6 and
10 seconds respectively. They are started together. 5 x +1 5 x +3
How soon after will they next flash again together? A) B)
4 4
A) 40 seconds
B) 60 seconds
7 x+1 7 x+3
C) 120 seconds C) D)
4 4
D) 240 seconds
24. The expression (3x – 2) ( x + 1)
16. Which of the following sets has an infinite number
A) 3x2 – x – 2
of members?
B) 3x2 – x + 2
A) {factors of 20}
C) 3x2 + x – 2
B) {multiples of 20}
D) 3x2 + x + 2
C) {odd numbers between 10 and 20}
D) {prime numbers less than 20}
25. y varies inversely as x2. When y = 16 then x =9.
What is value of x when y = 9?
17. –7 – (–3) =
A) 4 B) 12 C) 16 D) 25
A) –10
B) –4
26. Which of the following is a DISCRETE variable?
C) 4
A) the temperature of a room
D) 10
B) the quantity of liquid in a juice bottle
C) the number of students sitting ATLIB exam
18. If p* q = pq2, then 2 * 3
D) the length of a broom stick

A) 6 B) 12 C) 18 D) 36
The following data represent the number of hours that
each student took to study for the final exam.
19. 2a2 + (3a)2 =
2, 4 , 22, 6, 1, 4, 1, 5, 7, 4
A) 5a 2
B) 8a 2
Items 27-29 use these data above.
C) 11a 2
2016 ATLIB MAT 10 2 Turn this page.
 35. A store charges 6% tax on all sales. What is the total
27. What is the median number of study hours? cost of a watch marked at $30?
A) 2.5 B) 4 C) 4.5 D) 5.6
A) $28.20 B) $31.80 C) $33.84 D) $36.00
28. What is the mean number of study hours?
A) 2.5 B) 4 C) 4.5 D) 5.6 36. The simple interest on $800 invested at 8% per
annum for 6 months is
29. What is the upper quartile of the number of study A) $32 B) $48 C) $60 D) $64
hours?
A) 1.5 B) 2 C) 5.5 D) 6 37. A man bought a washing machine priced at $900 on
a hire purchase plan. The plan required a deposit of
30. The mean of eight numbers is 12. If the number 19 20%. The remainder is increased by 15%, which is
is deleted, what is the new mean? then paid in 12 equal monthly installments. What is
A) 4 the amount of each installment?
B) 7 A) $69 B) $85 C) $90 D) $100
5
C) 9
8 38. The value of a golf cart depreciates each year by
D) 11 15%. If it costs $16,000, what is its value at the
end of 3 years is?
31. Which of the following CANNOT be the
probability of an event occurring? A) $7,200 B) $9,826 C) $11,560 D) $13,600
1 3
A) B) C) 1 D) 2 39. A plane is travelling on a bearing of 135o. In what
2 4
direction is the plane travelling?
32. A bag contains 6 red marbles, 3 blue marbles and 7
green marbles. If a marble is randomly selected A) North-East
from the bag, what is the probability that it is blue? B) North-West
C) South-East
1 3 1 1 D) South-West
A) B) C) D)
3 16 13 7
40. In the diagram shown below, which of the following
33. The table below shows the distribution of the ages of ratios represents tanθ ?
25 students. What is the probability that a student
chosen at random is AT LEAST 13 years old?
Age 11 12 13 14 15 16
# of students 6 3 5 4 4 3

5 9 11 16
A) B) C) D)
25 25 25 25

34. The word DISCOUNT means

A) opposite / adjacent
A) money put down on an article bought on hire B) opposite / hypotenuse
purchase C) adjacent / hypotenuse
B) money taken out of your wage D) adjacent / opposite
C) money owed to someone
D) money taken off the price of an article 41. When the point A (3,4) is reflected in the x-axis,
what are the coordinates of the image of A?

2016 ATLIB MAT 10 3 Turn this page.

A) (4, 3) A) 35 B) 45 C) 55 D) 80
B) ( –3, –4)
C) ( –3, 4)
D) (3, –4)
46. The length of the side of a cube is 3cm. Its volume,
42. Which of the following sets of numbers does NOT in cm3, is
represent the dimensions of a right-angled triangle? A) 9 cm3
B) 18 cm3
A) (3,4,5) B) (8, 7, 15) C) (6,8,10) D) (5,12,13) C) 27 cm3
D) 54 cm3
43. The interior angles of a regular polygon are each
135o. How many sides does the polygon have? 47. How many mm are there in 0.3m?

A) 4 B) 6 C) 8 D) 10 A) 30 B) 300 C) 3,000 D) 30,000

44. In the diagram below, ∠C =43o and AB is 10cm. 48. What is the area of the sector POQ, shown below, in
the length of BC, in cm, is: cm2?

120 120
A) ×π B) ×3 π
3 60 360
10 10
A) o B) o
sin 43 cos 43 120 120
C) ×6 π D) ×9π
360 360
10 tan 43
o
C) o D)
ta n 43 10 49. Two circles have circumferences of 16 π cm and 22
π cm. What is the difference between their radii?
45. In the figure PQRS shown below, O is the center of
the circle,∠ PQS = 45o and ∠PQR =80o. What is A) 3 cm B) 6 cm C) 3 π cm D) 6 π cm
the size of ∠QSR?
50. A map has a scale of 1 : 300,000. The distance
between two towns is 1.5cm. What is the actual
distance, in km, between these towns?
A) 2 B) 4.5 C) 20 D) 45

2016 ATLIB MAT 10 4 Turn this page.