Common Entrance Mathematics 2021

 

MATHEMATICS (NCEE) Time allowed: 60 minutes

1.      Change 478 to Roman numerals.  A. DCLXXXVIII  B. CDLXXVIII   C. DCLXXVII   D. CDLXXXVIII   E. DCLXXVII

2.      Write in words 4,690,852.  A. Four million, sixty-nine thousand, eight hundred and fifty-two    B. Four million, six hundred and nine thousand, eight hundred and fifty-two     C. Four million, six hundred and ninety thousand, eight hundred and two   D. Four million, six hundred and ninety thousand, eight hundred and fifty-two      E. Four million, nine hundred and sixty thousand, eight hundred and fifty-two

3.      What is the place value of 6 in 123.64? A. Hundreds  B. Hundredth  C. Tens  D. Tenth  E. Thousands

4.      Which of the following numbcrs, 0, 12, 5, -12, -5 is the lowest? A. 12  B. 5  C. 0  D. -5  E. -12

5.      If a sachet of semovita costs ₦700.00, what will be the cost of 20 sachets?  A. ₦10,000.00  B. ₦12,000.00  C. ₦ 14,000.00  D. ₦ 20,000.00  E. ₦21,000.00

6.      Convert 5 days into hours,  A. 10  B. 12  C. 50  D. 100  E. 120.

7.      Which of the following numbers is a perfcct square? A, 54  B. 70  C. 86  D. 90  E. 121

8.      Simplify √1¹¹/₂₅   A. 7⅕  B. 1⅕  C. 5/6   D. 2/5   E. 1/3

9.      Find the value of 4 + √16 – 3    A. 2  B. 3   C. 4   D. 5  E. 6

10.  Find the value of √12¼ +√1⁹/₁₆   A. 1½  B. 1¾   C. 2¼  D. 3¾   E. 4¾

11.  If a baby is born on the first of July 2014. How old will he be on the 3 1st December 2014?  A. 4 months   B. 5 months   C. 6 months  D. 7 months  E. 8 months

12.  If the price of a pair of school sandals is reduced from ₦2,000.00 to ₦1,500.00. how much is reduce?  A. ₦1,500.00   B. 1,000.00  C. 750.00  D. 500.00   E. 250.00

13.  The addition of 8¼ to a certain number give 10½. Find the number   A. 5½   B. 2¾   C. 2½   D. 2¼   E. 1⅓  

14.  A boy needs 2½ metres of cloth to make his uniform. How many metres of cloth will be needed for 5 boys?  A. 12 ½   B. 7 ½  C. 5 ½  D. 3 ½  E. 2 ½ 

15.  A trader bought a basket of tomatoes for ₦10,000.00 and paid 5% tax. How much did he pay as tax?   A. ₦500.00   B. ₦1000.00   C. 1,500.00   D. 5,000.00   E. 10,500.00

16.  If 100 envelops cost ₦1,000.00. what will be the cost of 650 envelopes?  A. ₦1,000.00   B. 1,500.00  C. 2,000.00  D. 3,250.00 E. 6,500.00

17.  Arrange ³/₅ , ²/₃, ⅓, ⁵/₆, ¹/₁₅ in descending order of magnitude.   A. ¹/₁₅, ⁵/₆, ³/₅, ²/₃. ⅓ B. ²/₃, ³/_5, ⁵/₆, ¹/₁₅, ⅓ C. ⁵/₆, ²/₃, ³/₅, ⅓, ¹/_15,   D. ⅓, ²/₃, ³/₅, ¹/₁₅, ⁵/₆  E. ³/₅, ²/₃, ⁵/₆, ¹/₁₅, ⅓

18.  Find the lowest Common Multiple (L.C.M) of 12 and 18.  A. 46,656    B. 1,296   C. 36  D. 18   E. 6

19.  If 20% is given on an article which cost ₦20,000.00, how much will a buyer pay for the article? A. 15,600.00  B. 16,000.00   C. 16,400.00 D. 16.600.00  E. N 18.000.00

20.  Find the value of x in equation x/5 = 24/40   A.12   B. 9  C. 6  D. 3  E. 1

21.  Which of the following is divisible by 8 without a remainder? A. 38   B. 49   C. 58   D. 64    E. 84 

22.  Find the value of x, if 6x + 7 = 25  A. 3  B. 6  C. 12  D. 18  E. 32

23.  Ochuko is 32 years old and her sister is 14 years old. What was the sum of their ages 5 years ago   A. 66 years   B. 46 years  C. 36 years   D. 26 years  E. 18 years

24.  Which of the following numbers, 29, 33, 49, 57, 69, is a prime number?  A. 29   B. 33   C. 49   D. 57   E. 69

25.  Find the value of x in the equation x + 2½ = 2  A. 5/3   B. ⅔  C. 1/3  D. -½  E. – ⅓

26.  Simplify 2a + b, when a = 3 and b = 2  A. 2  B. 3  C. 4  D. 6   E. 8

27.  Calculate the area of the triangle below A. 7.5cm²  B. 30.0cm²  C. 60.0cm²  D. 78,0cm²  E. 165.0cm²

28.  If x:2 = 12:4, find the value of x  A. 2  B. 3  C. 4  D. 6   E. 24

29.  If 3y =150, what is the value of y-2?   A. 48  B. 49  C. 50  D. 51  E. 52

30.  Find the value of k in the figure below  A. 77°   B. 90°   C. 87°  D. 3°   E. 187°

31.  How many lines of symmetry does a square have?  A. 0  B. 1   C. 2  D. 3  E. 4

32.  Calculate the volume of a cylinder whose radius is 3cm and the perpendicular height is 7cmTake (π =22/7)  A. 132cm³  B. 162cm³  C. 198cm³   D. 203cm³  E. 300cm³

33.  Find the area of the shaded portion in the diagram below A. 14cm²    B. 21 cm²  C. 39 cm²  D. 40 cm²    E. 60 cm²

34.  The area of a rectangle is 24 cm². If the breath is 3cm, find the length.  A. 9 cm.  B. 8 cm.  C. 6 cm.  D. 3cm    E. 2 cm.

35.  Find the height of the trapezium below if its area is 28cm²   A. 2.5cm    B. 3.5cm   C. 4.5cm   D. 5.5cm  E. 6.5cm

36.  Calculate the value of P in the diagram below   A. 60cm  B. 17cm   C. 13cm  D. 11cm  E. 7cm

37.  What is the sum of the angles in a triangle  A. 180°  B. 120°  C. 90°  D. 60°  E. 45°

38.  What is the name of the shape below? A. complete triangle   B. equilateral triangle   C. Isosceles triangle   D. Right-angled triangle   E. scalene triangle

39.  Find the mode of the following numbers 3, 7, 3, 5, 4, 3, 4, 6, 9  A. 3   B. 4  C. 5  D. 7  E. 9

40.  Find the average of the set of numbers: 22.44,66, 12.  A. 42 B. 36  C. 28 D. 22 E. 18