Sunday, July 6, 2025

Common Entrance Mathematics 2020

 

MATHEMATICS (NCEE) Time allowed: 60 minutes

1.      Write six million, three hundred thousand and nine in figures.  A. 6,000,309   B. 6,003,009   C. 6,030,009  D. 6,300,009   E. 6,300,900

2.      How many minutes are there in 660 seconds?  A. 11 minutes  B. 14 minutes  C. 15 minutes   D. 16 minutes  E. 18 minutes

3.      Write in words: 2,001,201.  A. Two hundred thousand and one   B. Hundred thousand, two hundred and one.  C. Two million and one   D. Two million, one thousand two hundred and one   E. Two million, two hundred and one

4.      What is the place value of 2 in 8.217?  A. Hundreds  B. Hundredths   C. Tens   D. Tenths   E. Thousandths

5.      Convert 12.4865 to 3 decimal places.  A. 12.480   B. 12.486   C. 12.487   D. 12.490   E. 12.500

6.      Convert 0.004 to percentage.  A. 0.4%  B. 0.8%  C. 2%  D. 8%  E. 14%

7.      Amaka and Amina share ₦2,800.00. If Amaka gets thrice of Amina's share, how many did Amina get? A. ₦2100.00   B. ₦ 1300.00  C. ₦ 950.00   D. ₦ 750.00     E. ₦ 700.00

8.      Eight years ago, Odibo was 48 years old. How old will he be in six years’ time?  A. 48 years  B. 56 years   C. 60 years   D. 62 years  E. 64 years

9.      Two men shared the cost of a business in the ratio 3.5. If the smaller share is ₦ 450.00, find the total cost of the business.   A. ₦400.00   B. ₦450.00   C. ₦ 750.00   D. ₦ 1,200.00   E. ₦3,600.00

10.  Find the value of 102 + 92   A. 19   B. 81   C. 100   D. 181   E. 200

11.  A man bought 500 oranges and gave out 30% of them. How many oranges does the man have left?  A. 150  B. 350   C. 400   D. 600   E. 650

12.  How many 2.2 kg of salt can be taken from a bag containing 105.6 kg?  A. 48   B. 44   C. 43   D. 41   E. 40

13.  A mango costs ₦10.00, what is the cost of 10 mangoes at the same price?  A. ₦100.00   B. ₦121.00   C. ₦ 144.00   D. ₦ 200.00   E. ₦ 300.00

14.  Simplify 1½ − ⅓ ÷ ⅔ + 1    A. 2½    B. 2   C. 1⅔   D. 1½   E. 1⅓

15.  Which of the following is not a factor of 60?   A. 6   B. 8    C. 12   D. 15   E. 30

16.  Find the L.C.M of 16, 32 and 40.  A. 160   B. 180   C. 200   D. 210   E. 300

17.  Arrange in descending order of magnitude: 5/6, 4/15, 9/10, 4/5    A. 9/10, 4/15, 4/5, ⅚   B. 4/15, 9/10, 4/5, ⅚  C. 9/10, 4/5, ⅚, 4/15    D. 4/15, ⅚, 9/10, 4/5   E. 9/10, ⅚, 4/5, 4/15

18.  Find the sum of 10.32, 0.18, 9.13 and 2.4.   A. 16.02   B.  19.63   C. 20.14   D. 21.11   E. 22.03

19.  A boy divides 54 by y and the result is 6. Find the value of y. A. 3   B. 9   C. 23   D. 48   E. 60

20.  Given that a = 17, b = 5 and c = 5, find the square root of 2a +2b+c.  A. 6   B. 7   C. 9   D. 15   E. 49

21.  Which of the following is not a perfect square? A. 36   B. 49   C. 70   D.81   E. 121

22.  A number multiplies itself to give 289, what is the number? A. 11   B. 12  C. 13  D. 15  E. 17

23.  If an orange costs ₦ p, how much will q oranges cost?  A. ₦ (pq)   B. ₦O   C. ₦(P + 1)   D. ₦(P+q)   E. ₦ (p/q)

24.  Simplify (23 x 52) ÷ 5   A. 10    B. 20   C. 40   D. 100   E. 200

25.  Bello had ₦ 550 spent ₦ 280.00 on drugs. How much does he have left?  A. ₦ 150.00   B. ₦170.00   C. ₦230.00   D. ₦270.00   E. ₦330.00

26.  Find the value of x - 3, if 14 - x = 3   A. 28   B. 21  C. 7   D. 4   E. 3

27.  The volume of a cube is 64 cm. Find the length of the cube   A. 3cm.   B. 4cm   C. 5cm.   D. 6cm.   E. 7cm.

28.  If 2X – 18 = 0, find the value of x.  A. 0    B. 1   C. 2   D. 8   E. 9

29.  Solve For y, if y/3 = 2 + y/5   A. 6   B. 10   C. 15   D. 30   E. 32

30.  Find the volume of a cylinder of radius 2cm and height 14 cm. (π = 22/7)  A. 120 cm3   B. 136 cm3   C. 142 cm3   D. I5l cm3    E. 176 cm³

31.  If the area of a rectangle is 24 cm² and the length is 8cm, find the breadth.  A. 16 cm   B. 12 cm   C. 10 cm.   D. 6 cm   E. 3 cm

32.  Find the value of x in the diagram below.  A. 115°   B. 80°   C. 70°   D. 65°   E. 20°

33.  Find the area of a circle whose diameter is 14cm. (π = 22/7)  A. 140 cm2   B. 144 cm2   C. 154cm2   D. 164 cm2   E. 540 cm2

34.  What is the value of y in the diagram below?  A. 5cm   B. 8cm   C. 12cm   D. 18cm.   E. 20cm

35.  The area of a rectangle is 60 cm². Find the length of the rectangle, if its breadth is 5 cm.  A. 65cm   B. 25cm   C. 15cm   D. 13cm   E. 12cm

36.  If lcm on map represents 15m, what docs 3.5cm represent? A. 43m  B. 11.5m   C. 18.5m   D. 23.3m   E. 52.5m  

37.  Calculate the circumference of a circle of radius 3.5cm. (π = 22/7)  A. 77cm   B. 75cm.   C. 44cm   D. 22cm   E. 18cm

38.  Calculate the area of the shaded portion in the diagram below.  A. 16²   B. 32 cm²   C. 48 cm²   D. 64 cm²   E. 256 cm²

39.  Find the average of the following set of numbers 1,3,5,7,9,11.   A. 5   B. 6   C. 7   D. 8   E. 9

40.  Find the mode of the set of numbers: 4,3,7,5,3,6,7,3  A. 7   B. 6   C. 5   D. 4   E. 3

 

 

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