Common Entrance Mathematics 2017

 

MATHEMATICS (NCEE) Time allowed: 60 minutes

1. Convert 574 to Roman numerals A. DLXXVI B. DLXXIV C. DLXXIII D. DLXIV E. DXXIV
2. Correct 0.0579 to 2 significant figures A. 0.05 B. 0.057 C. 0.0579 D. 0.058 E. 0.6
3. Arrange ⅔, ⅚, ½ , and ¼ in ascending order A. ¼, ⅚, ⅔, ½ B. ¼, ⅔, ½, ⅚  C. ½, ⅔, ¼, ⅚ D. ¼, ½, ⅔, ⅚  E. ⅔, ¼, ½, ⅚
4. Find the square root of ⁴/₉ A. 2/3 B. 4/3 C. 2/3 D. 1/3 E. ¼
5. In a class, there are 20 girls and 30 boys. Find the ratio of girls to boys A. 6:4 B. 4:5 C. 3:2 D. 2:3 E. 1:6
6. Ade bought a pair of shoes for ₦1000.00 and sold for ₦800.00. What is his percentage loss A. 25 B. 20 C. 15 D. 10 E. 5
7. Express 0.75 as a fraction A. ¼ B. ³/₈ C. ½ D. ¾  E. ⁵/₄
8. Find the simple interest on ₦8000.00 for 4 years at 2% per annum  A. ₦640.00  B. ₦800.00 C. ₦940.00 D. ₦950.00 E. ₦1200.00
9. A girl bought 3 sachets of detergent for ₦120.00, for how much would she buy 20 sachets? A. ₦800.00 B. ₦650.00 C. ₦500.00 D. ₦360.00 E. ₦240.00
10. If the sum of 16 and 20 is divided by the product of 6 and 2, find the result A. 1 B. 3 C. 5 D. 7 E. 8

11.  ¹/₅ is equivalent to A. 40% B. 35% C. 30% D. 25% E. 20%

12.  If I spend ⁶/₁₁ of my money on books, what fraction of it will remain? A. ²/₁₁ B. ³/₁₁ C. ⁴/₁₁ D. ⁵/₁₁ E. ⁶/₁₁

13.  Find 80% of ₦20.00 A. ₦18.00 B. ₦16.00 C. ₦14.00 D. ₦12.00 E. ₦10.00

14.  Which of the following is not a perfect square? A. 100 B. 81 C. 65  D. 49 E. 36

15.  A gardener is paid ₦12,400.00 per month. Find his total annual salary. A. ₦148,800.00 B. ₦144,800.00 C. ₦84,800.00 D. ₦62,000.00 E. ₦49,600.00

16.  A can of Coca-Cola costs ₦120.00. How many cans can one buy with ₦960.00? A. 1 B. 8 C. 9 D. 10 E. 12

17.  Chinedu earns ₦2000.00 in 10 days. How much does he earn in 6 days if he earns equal amount daily? A. ₦32,200.00 B. ₦32,000.00 C. ₦12,000.00 D. ₦3,200.00 E. ₦1,200.00

18.  One-fifth of a number is subtracted from four-fifth of the same number. If the result is 9, what is the number? A. -15 B. -9 C. 3 D. 9 E. 15

19.  A local government charges ₦1000.00 monthly for each market stall. What is the total rent for 240 stalls? A. ₦2400.00 B. ₦8600.00 C. ₦8900.00 D. ₦24000.00 E. ₦240,000.00

20.  Ese is 23 years old and her younger sister is 19 years old. What was the sum of their ages 13 years ago? A. 13 years B. 14 years C. 15 years D. 16 years E. 17 years

21.  Simplify; ½ + ¾ - 2/7 × (1/3 + 2) A. 25/12 B. 17/12 C. 5/12 D. ¾ E. 7/12

22.  Given that a = 7, b = 5 and c = 5. Find the square root of 3a + 2b + c A. 25 B. 15 C. 10 D. 9 E. 6

23.  If 4y² - 37 = 27, what is the positive value of y? A. 10 B. 4 C. 3 D. 2 E. 1

24.  The area of a square is 9cm². Find the perimeter of the square. A. 3cm B. 6cm C. 9cm D. 12cm E. 27cm

25.  What is the perimeter of a rectangle with length 8½cm and width 2½cm? A. 16cm B. 18cm C. 20cm D. 22cm E. 24cm

26.  Given that 45 + 5t = 90, find the value of t A. 4 B. 5 C. 7 D. 9 E. 11

27.  Calculate the circumference of a circle whose diameter is 28cm. (π = ²²/₇) A. 88cm B. 64cm C. 56cm D. 44cm E. 30cm

28.  Find the value of x in the equation 4x – 10 = 2x – 2 A. 2 B. 4 C. 6 D. 8 E. 10

29.  If x = 2, y = 4 and z = 3, find the value of (3y + 2z) / (x + y) A. 3 B. 6 C. 9 D. 12 E. 15

30.  Find the perimeter of a square whose length is 5cm. A. 10cm B. 15cm C. 20cm D. 25cm E. 30cm

31.  How many vertices does a cuboid have? A. 4 B. 5 C. 6 D. 7 E. 8

32.  An equilateral triangle has how many lines of symmetry? A. 0 B. 1 C. 2 D. 3 E. 4

33.  The volume of a cylinder whose radius is 7cm is 1540cm³. Find its height. (π = 22/7) A. 6cm B. 9cm C. 10cm D. 13cm E. 15cm

34.  If 3x² + 4 = 13, find the value of x² - 8.  A. –11 B. –5 C. –4 D. 5 E. 11

35.  Find the perimeter of the figure below A. 24 B. 18 C. 15 D. 12 E. 9

36.  Five years ago, a girl was six years old. How old will she be in four years’ time? A. 9 years B. 10 years C. 11 years D. 13 years E. 15 years

37.  The area of a rectangular shape whose length is 10cm is 20cm². Find its breadth. A. 5cm B. 4cm C. 3cm D. 2cm E. 1cm

38.  Calculate the area of the shape  below A. 38cm² B. 28cm² C. 18cm² D. 15cm² E. 9cm²

39.  Find the mode of the following numbers: 3, 5, 4, 7, 6, 5, 5, 2, 6, 6, 5 A. 3 B. 4 C. 5 D. 6 E. 7

40.  Find the average of the following numbers: 10, 15, 10, 13 A. 10 B. 12 C. 14 D. 16 E. 18