National Common Entrance Exam | State and Modern Collages Mock and Common Entrance Exam for Primary 6 (Basic 6) Questions and Answers

PAPER 4 – MATHEMATICS

1. Express 759 in Roman NUMERALS.

A. DCCLIX

B. DCLIX

C. DCCLVIII

D. MCCLIX

E. MDCCLIX

 

2. What is the place value of 9 in the number 1 903?

A. 9 ones

B. 9 tens

C. 9 hundreds

D. 9 thousands

E. 9 hundredths

 

3. How many angles does a pentagon have?

A. 4

B. 5

C. 6

D. 7

8. 8

 

4. Express in Arabic numerals, the Roman numeral MMCXL.

A. 2 140

B. 2 104

C. 2 150

D. 2 295

E. 2 095

 

5. Simplify 4 1/4 + 5 3/4

A. 9 3/4

B. 11

C. 10 1/4

D. 10

E. 9

 

6. Find the LCM of 5, 12 and 15.

A. 25

B. 40

C. 45

D. 60

E. 100

 

7. Find the value of x if 38 + 11x = 104.

A. 66

B. 2

C. 4

D. 6

E. 8

 

8. How many sides does a quadrilateral have?

A. 2

B. 4

C. 6

D. 8

E. 40

 

9. If you multiply the sum of 842 and 158 by 0, what will be the result?

A. 1 000

B. 100

C. 0

D. 8 420

E. 1 580

 

10. Find x, if 682 – x = 578

A. 104

B. 140

C. 786

D. 1 260

E. 114

 

11. Find the value of x, if 4(2x – 11) = 60

A. 11

B. 12

C. 13

D. 14

E. 15

 

12. Find the HCF of 15,75 and 120.

A. 5

B. 10

C. 15

D. 25

E. 3

 

13. Mercy bought 8 baskets at the rate of N 2 500.00 per basket. How much did she pay for the 8 baskets?

A. ₦ 2 000

B. ₦ 20 000

C. ₦ 200 000

D. ₦ 16 000

E. ₦ 19 000

 

14. If a/25 = 75, what is the value of a?

A. 36

B. 3

C. 4

D. 5

E. 10

 

15. Find the value of angle c in the figure below:

A. 180°

B. 90°

C. 65°

D. 55°

E. 35°

 

16. Which is the largest of these fractions?

A. 4/5

B. 1/4

C. 1/3

D. 2/4

E. 3/5

 

17. Sara and Petra shared 36 marbles in the ratio of 4:5. How many marbles did Sara receive?

A. 9

B. 16

C. 20

D. 18

E. 10

 

18. Multiply 2370 by 0.0022.

A. 5.214

B. 52.14

C. 521.4

D. 0.5214

E. 0.05214

 

19. Blessing is a doctor who earns N 18 300.00 monthly. How much will she carn in 5 months?

A. ₦ 90 500

B. ₦ 91 500

C. ₦ 101 500

D. ₦ 9 150

E. ₦ 90 150

 

20. If T = -3, U = -6, and V = -4, find the value of TU + VT.

A. 18

B. 12

C. 20

D. 6

E. 16

 

21. What is the square root of 484?

A. 20

B. 22

C. 24

D. 13

E. 18

 

22. Treasure bought 360 cakes. He sold 40% of them. How many does he have left?

A. 144

B. 216

C. 180

D. 206

E. 148

 

23. How long will it take Bright to run 35 km at the speed of 5 km per hour?

A. 5 hours

B. 10 hours

C. 7 hours

D. 15 hours

E. 7.5 hours

 

24. Duduke ran a distance of 484 metres in 22 seconds. What was the average speed in metres per second?

A. 20 m/s

B. 12 m/s

C. 18 m/s

D. 22 m/s

E. 242 m/s

 

25. If x² – 15 = 154, what is the positive value of x?

A. 169

B. 139

C. 13

D. 12

E. 11

 

26. Which of the following is not a prime number?

A. 6

B. 2

C. 29

D. 17

E. 3

 

27. Find the value of x in the figure below:

A. 9 m

B. 3 m

C. 16 m

D. 25 m

E. 100 m

 

28. Find the area of a square whose sides measure 18 cm.

A. 180 m²

B. 36 m²

C. 324 m²

D. 360 m²

E. 72 m²

 

29. Find the mean of the following set: 0, 6, 6, 9, 12, 25, 28, 50.

A. 6

B. 0

C. 10.5

D. 17

E. 12

 

30. Divide the product of 13 and 24 by the difference of 64 and 12.

A. 2

B. 4

C. 6

D. 8

E. 10

 

31. The area of a rectangle is 55m². If the length measures 11m, what is the perimeter?

A. 55 m

B. 16 m

C. 44 m

D. 32 m

E. 47 m

 

32. If the ratio of 4 : x=28 : 49, what is the value of x?

A. 7

B. 6

C. 125

D. 400

E. 150

 

33. 25% of y is 100. What does y equal?

A. 25

B. 4

c. 125

D. 400

E. 150

 

34. Solve the equation: 5x + 13x = 72.

A. 18

B. 54

C. 4

D. 15

E. 60

 

35. Wisdom multiplied a number by 4, subtracted 12, and got 48. What was the number?

A. 12

B. 8

C. 14

D. 15

E. 60

 

36. 4 books cost N 2 800. How much will 18 books cost?

A. ₦ 12 600

B. ₦ 11 200

C. ₦ 5 600

D. ₦ 12 200

E. ₦ 6 300

 

37. What is the sum of 4.50, 7.75 and 6.25?

A. 18.5

B. 18.05

C. 18.4

D. 17.4

E. 17.5

 

38. If 5x = 70, what is the value of x?

A. 10

B. 7

C. 5

D. 14

E. 15

 

39. Give the product of the median and mode in the following set: {3,5, 3, 4, 7}

A. 3

B. 4

C. 4.4

D. 12

E. 13.2

 

40. 67 kilograms = _______ grams.

A. 6.7

B. 0.67

C. 670

D. 6 700

E. 67 000

 

MATHEMATICS ANSWER KEY 

1. A 2. C 3. B 4. A 5. D

6. D 7. D 8. B 9. C 10. A

11. C 12. C 13. B 14. C

15. D 16. A 17. B 18. A

19. B 20. D 21. B 22. B

23. D 24. D 25. C 26. B

27. B 28. C 29. D 30. C

31. D 32. A 33. D 34. C

35. D 36. A 37. A 38. D

39. D 40. E