Common Entrance Mathematics 2018

MATHEMATICS (NCEE) Time allowed: 60 minutes

1.      How many seconds are there in 8 minutes 12 seconds?   A. 512 seconds  B. 500 seconds   C. 492 seconds   D. 490 seconds  E. 480 seconds

2.      Simplify (²/₅ + ²/₇) × (1- ¹/₈)  A. 8/3  B. 5/3  C. 4/3  D. 3/5   E. ½

3.      There are 750 students in a college. If 70% of them are girls, how many are boys?  A. 225  B. 310  C. 490  D. 525  E. 680

4.      Simplify √5^4/₉  A. 15  B. 2⅓ C. 2⅔  D. 3  E. 34

5.      In a village, the number of people infected with HIV in 2001 was 100. In 2004, 250 People were infected. Find the ratio of those infected in 2001 to those infected in 2004   A. 1:5  B. 2:5   C. 3:5  D. 5:1   E. 5:2

6.      The ratio of the length to the breadth of a room is 7:5. Find the length of the room if the breadth is 10m.  A. 10m   B. 12 m  C. 14m   D. 2lm   E. 35m

7.      Increase 80 by 10% A. 8  B. 10  C. 80  D. 88  E. 108

8.      Odiri bought 12 cartons of biscuit for ₦3,000.00. Find the cost of cartons. A. ₦250.00  B. ₦442.00   C. ₦840,00  D. ₦1,750.00  E. ₦2,700.00

9.      Reduce ³⁶/₁₀₀ to its lowest term.  A. 3/10  B. 6/10  C. 9/20  D. 9/25   E. 3/25

10.  A man earns N5,000.00 for 10 days work. How much should he earn in 14 days, if working at the same rate? A. N 12,000.00  B. A 10,000.00  C. N7,000.00  D. N700.00  E. N 500.00

11.  Find the simple interest on ₦ 600.00 for 5 years at 8% per annum.  A. N 2.4  B. N 24.00.  C. N 240.00   D. A 2,400.00  E. N24,000.00

12.  If 400g:1kg, find the ratio in the simplest form. A. 2:5   B, 1:2  C. 4:10  D. 3:4  E. 2:3

13.  If 8 children ate a crate of egg in 12 days, how long will 6 children take to eat same crate of egg, if' they eat at the same rate?  A. 24 days   B. 16 days   C. 12 days  D. 10 days  E. 8 days

14.  Simplify 2x - x + 4x. A. 3x B. 4x  C. 5x  D. 6x  E. 7x

15.  Convert 0.025 from decimal to fraction   A. ¹/₁₀  B. ¹/₂₀  C. ¹/₃₀  D. ¹/₄₀  E. ¹/₄₄

16.  Find the L.C.M of 12 and l6 A. 4  B. 8  C. 16  D. 32  E. 48

17.  Find the sum of H.C.F and L.C.M of 8 and 12  A. 4  B. 6  C, 20  D. 24  E. 28

18.  How many hours and minutes arc there between 9:30 am and 1:50 pm?  A. 2 hours 20 minutes  B. 3 hours 20 minutes  C. 4 hours 20 minutes  D. 6 hours 20 minutes  E. 8 hours 30 minutes

19.  If x = 4, y = 1 and z = 2, find the value of (2x+y)/ (y+z)  A. 2  B. 3  C. 5  D. 7  E. 10

20.  Find the value of x in the equation 3x+ 1 = x + 9  A. 1  B. 2  C. 3  D. 4  E. 5

21.  If 4x² - 3 = 1, which of the following is a value of 1-2x?    A. 4   B. 1  C. 0  D. -1  E -4

22.  2:7 is expressed in the form 4:x, find the value of x  A. 12   B. 14  C. 20   D. 24  E. 28

23.  What is the ratio of 12 minutes to 1 hour?   A. 1:5  B. 1:6   C. 1:12   D. 12:1  E. 12:5

24.  Solve the equation: 10y – 7 = 27  A. 34  B. 10  C. 3 2/5   D. 1 3/2  E 3/2

25.  Find the area of a circle whose radius is 7cm (Take π = ²²/₇)  A. 44cm²  B. 77cm²  C. 82cm²  D. 154cm²  E. 169cm²

26.  Calculate the area of a triangle whose height is 8cm and base is 6cm.  A. 32cm²  B. 28cm²  C. 24cm²  D. 14cm²  E. 12cm²

27.  In the diagram below, find the value of y.  Diagram not drawn to scale  A. 5cm   B. 8 cm C. 25cm  D. 156cm  E. 313cm

28.  Find the value of t in the equation: 3t – 5 = t + 15  A, -20   B. -10  C. 5 D. 10  E. 20

29.  Solve for n if ^(2n-1)/₄ = 0  A. 2 ½  B. 1 ½   C. l   D.½   E.2/3

30.  Find the value of x in the equation: 5x - 3 = 2x + 12.  A. 5  B. 0  C. 5  D. 10  E. 15 ·

31.  The area of a square field is 100m². What is the perimeter of the field?  A. 10m  B. 20m  C. 30m  D. 40m  E. 50m

32.  Find the area of the shaded portion in the diagram below.  A. 38cm²  B. 32cm²  C. 26cm²  D. 20cm²  E. 16cm²

33.  A girl is 12 years old now. What was her age x years ago  A. (12 + x)  B. l2x years  C. (12-x) years  D. (x- 12) years   E (12/x) years

34.  Solve 7x - 5 = 2  A. 0  B. I  C, 2  D. 3  E. 4

35.  In an examination, a boy spent x minutes in Part A and 15 minutes in part B. how many minutes did he use for the whole examination?  A. 15/x minutes  B. x/15 minutes   C. 15x minutes   D. (15+x) minutes  E. (15 – x) minutes

36.  Find the perimeter of a circle of radius 7cm (Take π = ²²/₇ )  A. 154cm  B. 49cm  C. 44cm  D. 22cm  E. 14cm

37.  A car uses 10 litres of fuel for a journey to 40km on the average. What distance will 25 litres cover with the same car at same speed? A . 60km  B. 70km  C. 80km D . 90km  E. 100km

38.  A square has bow many lines of symmetry? A. 4  B. 3  C. 2  D. 1  E. 0

39.  The marks scored in a test by ten pupils are as follows: 15, 14,15,13 ,16 , 16, 17, 13 , 16,17 . Find the modal mark. A. 13  B. 14   C. 15  D. 16  E. 17

40.  The average of 6, 10 , X, 20 and 30 is 18 .What is the value of x?  A. 90   B. 66  C. 24  D. 17  E. 14