Common Entrance Mathematics 2015

MATHEMATICS (NCEE) Time allowed: 60 minutes

1. What is the place value of 5 in 4.053? A. 5 hundreds B. 5 tens C. 5 units D. 5 tenths E. 5 hundredths
2. Write the Roman numerals one thousand five hundred and eighty-four. A. MMDLXXIV B. MDLXXXVII C. MDLXXXIV D. DLXXIV E. CLXVI
3. Find the sum of 1.42, 0.1, and 0.7 A. 0.22 B. 1.22 C. 2.22 D. 3.22 E. 4.22
4. Arrange ¹/₅, ¾, ⁷/₈, and ½ in descending order. A. ⁷/₈, ¾, ½, ¹/₅
5. Find the cube root of ⁸/₂₇  A. ⅓  B. ⅔  C. 1 D. 1⅓  E. 3 ¹/₉
6. Convert 0.006678 to 3 decimal places A. 0.006 B. 0.00667 C. 0.00668  D. 0.007 E. 0.01
7. In a class there are 25 boys and 15 girls. Find the ratio of boys to girls. A. 3:5 B. 3:8 C. 5:3 D. 5:8 E. 8:5
8. How many prime numbers are there in the set: 12, 13, 14, 15, 16, 17, 18, 19, 20? A. 2 B. 3 C. 4 D. 5 E. 6
9. What is eight million, two hundred thousand and nine in figures? A. 8,000,209 B. 8,002,009 C. 8,200,009  D. 8,200,900 E. 8,290,000
10. What is the H.C.F of 9, 12, and 15? A. 2 B. 3  C. 4 D. 5 E. 6
11. Express ⁵/₈ as a decimal fraction A. 0.652 B. 0.625 C. 0.605 D. 0.265 E. 0.062
12. What must be added to the sum of ¹¹/₂ and ²¹/₄ to make 5½? A. 43/4 B. 33/4 C. 13/4 D. 11/2 E. 11/4
13. Find the L.C.M of 15 and 24 A. 120 B. 100 C. 72 D. 24 E. 15
14. Picto bought a wristwatch for ₦250.00 and sold it for ₦300.00. What is his percentage gain? A. 10% B. 20%  C. 30% D. 40% E. 50%
15. In a school with 800 pupils, 435 are girls. How many boys are in the school? A. 1235 B. 800 C. 435 D. 365  E. 300
16. Find the simple interest on ₦6000.00 for 5 years at 3% per annum. A. ₦90.00 B. ₦180.00 C. ₦300.00  D. ₦900.00 E. ₦1500.00
17. A girl buys 2 packets of sweet for ₦180.00. How much for 12 packets? A. ₦4320.00 B. ₦2160.00 C. ₦1080.00  D. ₦920.00 E. ₦360.00
18. Working 10 hours/day, a painter finishes in 15 days. How long at 6 hours/day? A. 20 days B. 25 days C. 30 days  D. 40 days E. 90 days

            Given that a = 4, b = 5, c = 2 and d = 0. Use the information to answer question 19 and 20

19. Find the value of c² + a²  A. 35 B. 20  C. 15 D. 10 E. 5
20. What is the value of bcd?   A. 5 B. 4 C. 1 D. 0  E. –2

21.  Calculate the circumference of a circle whose radius is 3.5cm (π = 22/7)  A. 11cm  B. 22cm   C. 44cm  D. 55cm  E. 77cm

22.  If one quarter of a number is 15, what is the number? A. 60   B. 30  C. 20  D. 15  E. 5

23.  The area of a square room is 25m. What is the perimeter of the room? A. 5m  B. 10m  C. 15m D. 20  E. 25

24.  If the product of 9 and 2 is divided by the sum of 2 and 4, the result is A. 1 B. 3 C. 5 D. 6 E. 8

25.  The minute hand of a clock turns 180° in how many minutes? A. 60 B. 45 C. 30 D. 20 E. 15

26.  Solve the equation: 3y + 4y = 49 A. 10 B. 7 C. 5 D. 4 E. 1

27. The volume of a rectangular drum is 360cm³. If length = 9cm, height = 8cm, find its breadth. A. 5 B. 13 C. 14 D. 72 E. 92
28. Given that y – 2 = 6, find y + √4 A. 6 B. 8 C. 10  D. 12 E. 14
    
    
    
29. Find the perimeter of the figure above A. 13cm B. 15cm C. 16cm D. 18cm E. 26cm
30. 2 years ago, a girl was 7 years old. How old will she be in 5 years' time? A. 7 B. 9 C. 10 D. 12 E. 14
31. What is the value of y in the triangle below? A. 60° B. 50° C. 40° D. 20° E. 15°
    
32. If 2x² = 8, what is the value of x? A. 2 B. 4 C. 9 D. 18 E. 20
33. The sum of two right angles is equal to A. 90° B. 150° C. 180° D. 270° E. 360°
34. What is the value of c in the equation: ^c/₁₃ = ²⁷/₃₉ A. 3 B. 9 C. 24 D. 27 E. 30
35. Find the value of x in the diagram below. A. 8 B. 4 C. 3 D. 2 E. 1
    
    
    
36. When 4 is subtracted from five times a number, the result is 16. What is the number? A. 3 B. 4 C. 5 D. 6 E. 7
37. The area of a rectangle is 40cm². Find the length if breadth is 5cm. A. 5cm B. 8cm C. 10cm  D. 25cm E. 35cm
38. Find the area of the shaded portion in the diagram below. A. 12cm² B. 42cm² C. 72cm² D. 84cm²  E. 96cm²
    
    
    
39. Find the mode of: 2, 2, 3, 4, 2, 3, 5, 7, 9 A. 2  B. 3 C. 4 D. 5 E. 7
40. Find the average of 13, 14, 12, 9, 8, and 10. A. 8 B. 9 C. 10 D. 11 E. 12