Common Entrance Mathematics 2014

MATHEMATICS (NCEE) Time allowed: 60 minutes

1.      Express 744 in Roman numeral  A. CDXLIV   B. DCCXLIV   C. DCCXLVI   D. DCCLIV  E. DCCLXIV

2.      What is the place value of 3 in the number 8318?  A. 3 tens  B. 3 tenths   C. 3 hundreds  D. hundredths   E. 3 thousands

3.      Express in Arabic numeral the Roman numeral CCC  A. 30   B. 300  C. 303  D. 330  E. 360

4.      A quadrilateral has how many angles? A. 3  B. 4  C. 5  D. 6  E. 7

5.      Find the L.C.M of 2, 3, 5, and 7  A. 68  B. 75  C. 95  D. 105  E. 210

6.      Which of these shapes is a cylinder? A. I  B. II  C. III   D. IV  E. V

7.      563 +               = 721  A. 258   B. 254    C. 158   D. 156  E. 154

8.      Simplify (2½ + 1⅔) + ⅚  A. 1  B. 2   C. 3  D. 4  E. 5

9.      If you multiply the sum of 546 and 1711 by zero, what will be your result?  A. 934,206  B. 920,200    C. 810,000  D. 200  E. 0

10.  Find the value of x if 5 – 8x = 29  A. -3  B. -2   C. 0   D. 2  E. 3

11.  Which is the smallest of these fractions?  ²/₅,  ½ , ⅓, ¾ and ⅔  A. ¾  B. ⅔C. ½    D. ²/₅    E. ⅓

12.  A three-sided plane figure is called   A. Decagon   B. Octagon  C. Pentagon  D. Rectangle   E. Triangle

13.  Find the value of x if 2(3x +3) = 18  A. 2   B. 5   C. 7     D. 9   E. 11

14.  Find the H. C. F of 15, 18, and 24    A. 3   B. 6   C. 30  D. 45   E. 120

15. Which is the smallest number divisible by 2 and 3? A. 5 B. 6 C. 7 D. 8 E. 9
16. Ochuku bought 3 bags of rice at ₦12,000 each. Total cost? A. ₦24,000.00 B. ₦26,000.00 C. ₦32,000.00 D. ₦36,000.00  E. ₦40,000.00
17. Multiply 6204 by 0.0031 A. 19.2324 B. 19.53 C. 190.23 D. 191.23 E. 192.32
18. What must be divided by 9 to get 32? A. 24 B. 72 C. 144 D. 288 E. 576
19. Find the value of a + b in the diagram below A. 58° B. 64° C. 116° D. 122°  E. 131°
    
20. Emaniru and Oderige share ₦980; Oderige gets ₦50 more. Emaniru gets: A. ₦440.00  B. ₦465.00 C. ₦1480.00 D. ₦515.00 E. ₦540.00
21. If ^t/₉ = ¹⁶/₁₈, find t A. 8  B. 9 C. 12 D. 16 E. 48
22. Lejolor trekked 2 km in 30 minutes. How many minutes will it take him to trek 5 km? A. 45 min B. 55 min C. 60 min D. 75 min  E. 80 min
23. Man spends ₦8,200 monthly on power. In 3 months? A. ₦24,000.00 B. ₦24,200.00 C. ₦24,400.00 D. ₦24,600.00  E. ₦24,800.00
24. If x=3, y=5, z=1, find xy – yz A. -15 B. -10 C. 10  D. 15 E. 20
25. Area of a rectangle with length 12cm, breadth 10cm A. 210cm² B. 120cm²  C. 100cm² D. 51cm² E. 22cm²
26. In the figure below calculate the value of k  A. 7 B. 5 C. 4  D. 3 E. 2 
    
    
    
27. Mohammad bought 140 lemons, gave 20% away. How many left? A. 28 B. 112  C. 120 D. 140 E. 168
28. Find the value of x in the figure below A. 9 B. 15 C. 20  D. 24 E. 26 
    
29. What is the square root of 625? A. 5 B. 15 C. 20 D. 25  E. 35
30. Calculate the area of a circle whose radius is 7cm, (Take π = ²²/₇) A. 130cm² B. 154cm²  C. 209cm² D. 929cm² E. 1078cm²
31. If Y² + 18 = 27, what is the positive value of y A. 3  B. 4 C. 9 D. 18 E. 27
32. A closed cylinder has ____ circular faces? A. 1 B. 2  C. 3 D. 4 E. 5
33. A boy runs a distance of 200m in 25 seconds. What is his average speed? A. 2m/s B. 4m/s C. 6m/s D. 8m/s  E. 10m/s
34. Muiz bought 8 mangoes for ₦160.00, and sold each one for ₦25.00. what was his percentage gain? A. 15% B. 20% C. 25% D. 30% E. 50%
35. How many pieces of rod each 15cm long can be cut from a rod 6m long? A. 2½ B. 10 C. 24⅓ D. 30 E. 40
36. Which of the following is not a perfect square? A. 4 B. 9 C. 15  D. 16 E. 25
37. If ^x/₁₅ = ⅓, find the value of x A. 3 B. 5 C. 10 D. 15  E. 18
38. Olu & Tunde shared ₦1,200.00. Olu gets ₦100 more than Tunde. How much does Tunde gets: A. ₦500  B. ₦550 C. ₦600 D. ₦650 E. ₦700  
    
39. Calculate the value of p in the above diagram  A. 55° B. 65° C. 70°  D. 110° E. 125°
40. Find the average score of 6, 8, 7, 3, 2, 4 A. 2 B. 4 C. 5  D. 6 E. 8