Common Entrance Mathematics 2019

 

MATHEMATICS (NCEE) Time allowed: 60 minutes

1.      How many seconds make up 3½ minutes?  A. 240   B. 210   C. 180  D. 120   E. 60

2.      Write in figure: Twelve thousand, seven hundred and two.  A. 12000702   B. 1200702    C. 127002  D. 120702   E. 12702

3.      Write 30385 in words.  A. Three thousand, three hundred and eighty five   B. Three thousand, three hundred and fifty eight  C. Thirty thousand, three hundred and eighty five   D. Thirty thousand, eight hundred and five   E. Thirty three thousand and eighty five

4.      Find the square root of 3 ⁶/₂₅   A. 1 2/3   B. 1 4/5   C. 2 1/5   D. 2 4/5   E. 3 2/5

5.      Bola deposits ₦5,000.00 in a saving bank account. If she is paid an interest rate of 5% per annum for 2 years, how much is the simple interest?  A. N20.00  B. N50.00  C. N100.00  D, A 200.00  E. 500.00

6.      Change 4 ½ days into hours  A. 42   B. 72   C. 72 ½  D. 88   E. 108

7.      Igho bought five books at ₦40.00 each and sold them for 150.00. What is the loss? A. ₦50.00  B. ₦45.00   C. ₦40.00  D. ₦30.00  E. ₦5.00

8.      Ado bought a pair of shoes for ₦5,000.00 and sold it for ₦4,000.00, what is his percentage loss? A. 10%  B. 20%  C. 30%  D. 40%  E. 50%

9.      In a class, there are 30 girls and 45 boys. Find the ratio of girls to boys A. 1:3  B. 2:3  C. 3:1  D. 3:2  E. 4:9

10.  One-fourth of a number is 5. Find the number  A. 10 B. 15 C. 20  D. 25  E. 30

11.  A worker earns ₦ 4,000.00 per month. How much does he earn in ½ a year? A. ₦48,000.00  B. ₦32,400.00  C. ₦24,000.00  D. ₦8,000.00  E. ₦2,000.00

12.  What must be subtracted from 3.10 to have 1.001? A. 1.099  B. 1.999    C. 2.009  D. 2.099  E. 2.999

13.  What is the cost of 60 oranges if 4 cost ₦20.00?  A. ₦480.00  B. ₦400.00  C. ₦300.00   D. ₦I50.00  E. ₦48.00

14.  Arrange the following fractions in ascending order  ¾,  ⁵/_8, ⁷/_12, ⅔   A. ⅔, ¾ , ⁵/₈, ⁷/₁₂  B. ¾ , ⁵/₈ , ⁷/₁₂, ⅔  C. ⁷/₁₂, ⁵/₈ , ⅔, ¾   D. ⁵/₈ , ⁷/₁₂, ¾ , ⅔  E. ⅔, ¾ , ⁷/₁₂ , ⁵/₈

15.  What is the place value of 5 in 504.13? A. 5 hundreds   B. 5 hundredths  C. 5 tens   D. 5 thousands  E. 5 units

16.  In a school, there are 478 boys and 329 girls. How many pupils are in the school altogether? A. 908  B. 847  C. 817  D. 807  E. 708

17.  The difference of two numbers is 60. If the number smaller is 90, what is their sum? A, 300  B. 240  C. 230  D. 150  E. 125

18.  Find the sum of these figures: 4.02, 13.9 and 7.1.   A. 17.03  B. 24.12  C. 25.02  D. 26.02  E. 27.04

19.  A motorist travelled at 72 km/h for 2½ hours. How many kilometres has he covered? A. 144   B. 176  C. I80  D. 210.  E. 220

20.  Given that x + 3 = 12, find √x - 2.  A. 4  B. 3  C. 2  D. 1  E. 0

21.  Which of the following is not divisible by 5? A. 45  B. 130  C. 265  D. 554  E. 690

22.  One-third of a number is 9, what is the number?  A. 16  B. 20  C. 23  D. 25  E. 27

23.  Ohanyere is 20 years old and her sister is x years younger. How old is Ohanyere's sister?  A. x²years  B. 20x years  C. 20/x years  D. (x-20) years  E. (20-x) years

24.  Simplify (1½ -⅓) ÷ (⅔+ ½)  A. ³/₂  B. ⁷/₆  C. 1  D. ½   E. ⅓

25.  An aeroplane travelled to town X from town Y at 245 km/h for 2 hours. What is the distance covered?  A. l66km   B. 360km.  C. 490km  D. 500km  E. 560km

26.  Find the value of the expression a² - b, if a = -2 and b = -1.   A. -5  B -3  C. 1  D, 3   E. 5

27.  Find the volume of a cylinder with radius 4cm and height 14cm.  A. 704cm²  B. 532cm²  C. 337cm²  D. 226cm²  E. 109cm²

28.  Solve 17 + 2a = a + 7  A. -10  B. -8  C. 8  D. 10  E. 21

29.  If ⁴/_x = ⅔, what is the value of ^x/₂?  A. 3 B. 6  C. 9  D. 12  E. 15

30.  Find the area of the shaded portion in the diagram below A. 52cm²  B. 44m²  C. 32m²  D. 28m²  E. 12m²

31.  The sum of all angles in a triangle is equal to A. 90⁰  B. 120⁰  C. 150°  D. 180  E. 360°

32.  What is the value of x in the diagram below? A. 20 B. 40  C. 90 D. 160  E. 180

33.  If the area of a square is 36cm², find the perimeter of the square A. 36cm  B. 24cm C. 12cm  D. 6cm  E. 4cm

34.  What is the value of x in the diagram below? A. 2cm  B. 4cm  C. 7cm D. 8cm  E. 16cm

35.  The longest side of a right-angled triangle is known as A. Adjacent   B. Diagonal   C. Hypotenuse  D. Opposite  E. Right angle

36.  Find the value of x in the diagram below  A. 59  B. 69  C. 111°  D. 121°  E. 180°

37.  Find the perimeter of a triangle with sides 5cm, 7cm, and 9cm.  A. 12cm   B. 14cm  C. 16cm.  D. 21cm.  E. 23cm.

38.  In the diagram below, find √z  A. 2cm  B. 8cmn  C. 12cm  D. 16cm.  E. 20cm

39.  What is the mode of the scores: 1,3,2,3,5?  A. 0  B. 1  C. 2  D. 3  E. 5

40.  Find the average of the following set of numbers: 3,2,6,1.3. A. 5   B. 4 C. 3   D, 2  E. I