Common Entrance Mathematics 2016

 

MATHEMATICS (NCEE) Time allowed: 60 minutes

1.      Write CMLXXXII in Arabic numerals. A. 832 B. 982 C. 1152 D. 1182 E. 1532

2.      Write eight million, two hundred thousand and nine in figures. A. 8,000,209 B. 8,002,009 C. 8,020,090 D. 8,200,009  E. 8,200,900

3.      Change 7½% to fraction in its lowest term. A. ½ B. ³/₂₀ C. ³/₄₀  D. ¹/₂₀ E. ¹/₄₀

4.      What is the square root of 2 ¼ ? A. ¹/₈  B. ¼ C. ½ D. 1¼ E. 1½

5.      Find the HCF of 9 and 27 A. 3 B. 6 C. 9 D. 18 E. 27

6.      If a = 8 and b = 6, what is the value of a² – b²? A. 15 B. 20 C. 24 D. 28 E. 28

7.      Given that x = –2, what is the value of x³? A. –8  B. –6 C. –2 D. 6 E. 8

8.      A woman bought 15 oranges for ₦150.00 and sold them at ₦12.00 each. What is her percentage profit? A. 10 B. 15 C. 20 D. 25 E. 30

9.      Determine the sum of the LCM and HCF of the following numbers; 8, 12 and 16 A. 36 B. 48 C. 52 D. 54 E. 56

10.  Given that a = 6, b = 7 and c = 4, what is the square root of 3a + 2b + c? A. 4 B. 5 C. 6 D. 7 E. 8

11.  Odiri bought fourteen loaves of bread of the same size for ₦1260.00. How much will three loaves cost? A. ₦60.00 B. ₦90.00 C. ₦120.00 D. ₦150.00  E. ₦270.00

12.  The angles of a triangle are y°, (y + 12)° and (y + 18)°. Find the value of y. A. 30 B. 50 C. 100 D. 150 E. 180

13.  If p² - 8 = 17, which of the following is a possible value of p? A. 4 B. 5 C. 6 D. 7 E. 8

14.  Find the LCM of 3, 4 and 5 A. 12 B. 15 C. 20 D. 40 E. 60

15.  Simplify; ²/₅ + ¼ (1½ ÷ ½) A. ¹¹/₁₂  B. 1¹/₆ C. 1¼ D. 1⅓ E. 1 ⁵/₁₂

16.  Find the simple interest on ₦400.00 for 4 years at 6% per annum A. ₦16.00 B. ₦24.00 C. ₦96.00 D. ₦120.00 E. ₦160.00

17.  Two men shared the cost of a business in the ratio 2:3. If the smaller share is ₦750.00, find the total cost of the business. A. ₦1125.00 B. ₦1500.00  C. ₦1875.00 D. ₦2250.00 E. ₦3750.00

18.  Change 200 kobo to naira A. ₦1.00 B. ₦2.00 C. ₦3.00 D. ₦4.00 E. ₦5.00

19.  What is the perimeter of a square with side Pcm? A. P/4cm B. (4 – p)cm C. 4pcm D. P²cm E. P4cn

20.  If 130 = 7 + 20x + 3, find the value of x. A. 4 B. 5 C. 6 D. 7 E. 10

21. If y² - x = 7, find the positive value of y when x = 9.   A. 3 B. 4 C. 8 D. 12 E. 16
22. Find the value of 2x if 4 – x = 3x. A. -2 B. -1 C. 0 D. 1 E. 2
23. Aminu divides 39 by x and the result is 3. Find the value of x. A. 117 B. 89 C. 68 D. 42 E. 13
24. Find the value of x if 3(x + 5) = -6 A. -7  B. -3 C. 0 D. 3 E. 7
25. The sum of angles on a straight line is equal to A. 90° B. 120°  C. 180° D. 270° E. 360°
26. A car travelled from Minna to Abuja covering 160km in 2 hours. Find the average speed. A. 320km/h B. 162km/h C. 158km/h D. 96km/h  E. 80km/h
27. If 2x – 8 = 0, find the value of x A. 0 B. 1 C. 2  D. 4 E. 8
28. Obi runs a distance of 400m in 40 seconds. What is his average speed? A. 5m/s  B. 10m/s C. 15m/s D. 20m/s E. 25m/s
29. How many kobo can you get in d naira? A. 100/d B. d/100 C. d D. 100 + d  E. 100d
30. Calculate the area of a parallelogram with a base of 10cm and a height of 7cm A. 70cm² B. 35cm² C. 55cm² D. 17cm² E. 3cm²
31. The perimeter of a rectangle with length of 10cm and breadth of 5cm is A. 605cm B. 275cm C. 55cm  D. 30cm E. 15cm
32. If an orange costs ₦x, how much will y oranges cost? A. ₦(x – y) B. ₦x/y C. ₦ (x + 1) D. ₦ (x + y) E. ₦xy
33. The sum of x and x + 1 is A. x + 1 B. x + 2  C. 2x + 1 D. 2x + 2 E. x – 1
34. If ¾ + r = 1, find the value of r A. 2/3 B. ½  C. ¼ D. 1/3 E. 1/6
35. Find the area of a circle with a radius of 7cm. (Take π = 22/7) A. 1078cm² B. 154cm² C. 77cm² D. 50cm² E. 27cm²
36. Given that 6d = 54, find the value of d. A. 3 B. 6  C. 9 D. 12 E. 15
37. If 2y + 8 = 16, find the value of y A. 4 B. 6 C. 8 D. 12 E. 16
38. Find the median of the following numbers: 3, 4, 6, 8, 9, 10 A. 15 B. 10  C. 7 D. 5 E. 3
39. Find the mode of the following set: 4, 3, 2, 4, 6, 5, 3, 2, 4 A. 5  B. 4 C. 3 D. 2 E. 1
40. The average of a set of numbers is A. Mode B. Median  C. Mean D. Frequency E. Tally