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

 

 

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

 

 

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

 

 

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