JSS-BECE Mathematics Emerald II

Question 1 of 60

1. Question

Simplify 8a + 4b (4a + 3b).

a + b
2a + b
3a + 2b
4a + b
4b – 3a

Question 2 of 60

2. Question

Simplify 2/3 (18y+9) – (6-2y).

14y +2
14y
14y – 12
10y
10y – 12

Question 3 of 60

3. Question

Simplify 3x + ³/₄– 5x – ¹/₄ + x.

–x
1/2 – 2x
1/2 – x
2x – 1/2
X – 1/2

Question 4 of 60

4. Question

Simplify 2(3x-5) – (2x-7).

4x – 17
4x – 3
8x – 3
4x + 17
8x + 17

Question 5 of 60

5. Question

Express ³/_p + ³/_q as a single fraction.

(3p+ 5q) / pq
3(q + p) / (pq)
(3p-5q) / pq
8 / pq
15 / pq

Question 6 of 60

6. Question

Expand ¹/₃(15x-27y).

x – r
3x – 7y
5x – 9y
9x – 5y
3x + 7y

Question 7 of 60

7. Question

Simplify 12 – (7 – 21) – (3 – f).

26 – f
20 + f
2 – 23f
23 + f
12 + 5f

Question 8 of 60

8. Question

What is the expansion of (m – 5) (n + 3)?

mn + 3m + 5n + 15
mn + 3m – 5n – 15
mn – 3m + 5n + 15
mn – 3m – 5n + 15
mn – 3m – 5n – 15

Question 9 of 60

9. Question

Factorize: x² – x – 12

(x – 1) (x + 1)
(x – 2) (x + 3)
(x – 4) (x + 3)
(x – 4) (x + 4)
(x – 5) (x + 4)

Question 10 of 60

10. Question

Factorize: xm – 2pq + xq – 2pm.

(m + q) (x + 2p)
(m – q) (x – 2p)
(m + q) (x – 2p)
(m – p) (x + 2q)
(m + p) (x – 2q)

Question 11 of 60

11. Question

Solve for x in the equation ³/₄(x + 2) = x – 2.

8
10
12
14
16

Question 12 of 60

12. Question

Make h the subject of the formula A = 2πr (h + r)

h= A/2π – r
h = A/2πr – r
h = A/2πr + r
h = (A+r)/2πr
h = r – A/2πr

Question 13 of 60

13. Question

Find the value of x, if 4(x + 1) = 6(x – 3)

2
3
5
7
11

Question 14 of 60

14. Question

Find the H.C.F of 3xy², 15xy and 6x²y

3xy
6xy
15xy
18xy
30x2y

Question 15 of 60

15. Question

Solve for y if ^2y/₇ + 5 = 9.

1
6
10
14
18

Question 16 of 60

16. Question

If p = + , find p when t = 1.

5
4
3
2
1

Question 17 of 60

17. Question

Find the value of x, if 2(x – 2) = 12.

2
4
5
6
8

Question 18 of 60

18. Question

Solve the equation: 3 – (3x – 2) (x – 3) = 0.

-4
-2
2
4
5

Question 19 of 60

19. Question

Olu has 2x oranges and Umar has 4 oranges less than Olu. How many oranges do they have altogether?

2x
2(x – 2)
2r(x – 1)
4(x + 1)
4(x – 1)

Question 20 of 60

20. Question

Given that (x – y) – (x + y) = 4. Find the value of y.

-2
-1
0
1
2

Question 21 of 60

21. Question

Find the value of x in the equation ^4x/₅– ¹/₅= ^5x/₇.

-2(1/3)
-1(1/3)
1(2/3)
2(1/3)
3(2/3)

Question 22 of 60

22. Question

Find the sum of the coefficients of x in 4x + 3 – 5x + 8.

9
5
-1
-4
-9

Question 23 of 60

23. Question

A car travels x km in 3 hours. How far will travel in 9 hours?

3x km
9x km
27x km
X/3km
X/9km

Question 24 of 60

24. Question

Expand (2x + 1)(x – 2).

2x² – 3x – 2
2x² – 3x + 2
2x² + 3x – 2
2x² + 3x + 2
2x² – 5x – 2

Question 25 of 60

25. Question

Solve the equation: 12/x -2 = 3.

-3
6
4
9
8

Question 26 of 60

26. Question

Ovie is 22 years old and her sister is x years old. What was the sum of their ages 8 years ago?

(6 + x) years
(6 – x) years
(x – 8) years
(x + 8) years
(22 + x) years

Question 27 of 60

27. Question

Solve = r/2 = 1/2 + 2r/5

2
5
8
10
12

Question 28 of 60

28. Question

If ³/₄ is added to a number, the result is ⁶/₅. Find the number.

1/5
9/20
3/4
5/4
3/2

Question 29 of 60

29. Question

Ali adds 5 to a certain number and the result is 20. Find the number.

5
10
15
20
24

Question 30 of 60

30. Question

If Uche divides 36 by the sum of 2 and a certain number, the result is 6. What is the number?

-2
-4
1
2
4

Question 31 of 60

31. Question

What is the L.C.M of 24y² and 72xy?

24x^(2)y
36xy^2
72xy^2
96xy2
120x^(2)y^(2)

Question 32 of 60

32. Question

Solve 8x – 2 ≥ 15x – 16.

x ≥ 7
x ≥ 2
x ≥ 7
x ≥ 2
x ≥ 2

Question 33 of 60

33. Question

Find the range of values of x for which (x+3)/2 ≥ (x-2)/3

x ≥ -13
x ≥ 5
x > 13
x > 5
x <5

Question 34 of 60

34. Question

The figure below represents one of the following inequalities:

x > 4
x ≤ -4
x ≥ -4
x > -4
x < -4

Question 35 of 60

35. Question

Solve 1/2 (x – 1) > 2.

x > 2
x ≥ 4
x > 5
x > 4
x < 4

Question 36 of 60

36. Question

Twice a certain number x is greater than 4. Find the range of values of x.

x ≥ 2
x > 4
x > 2
x ≤ 2
x < 2

Question 37 of 60

37. Question

Solve the simultaneous equation: 2x + y = -7, 3x = 6y + 41.

x = 2, y = 3
r = 3, y = 2
x = -2, y = -3
x = -3, y = -2
x = -5, x = -1

Question 38 of 60

38. Question

If 3x + 2y = 8 and x – y = 6 are simultaneous equation, find 2x.

-4
-2
2
4
8

Question 39 of 60

39. Question

If v = πr2h, make r the subject of the formula.

r = v/πh
r = √v/πh
r = √(v/πh)
r =√(h/πr)
r = √(πh/v)

Question 40 of 60

40. Question

Lola picks 10 mangoes from a sack while Tade picks x mangoes more than Lola. They have y mangoes altogether. Find x in term’s of y.

x = y – 20
x = y + 20
x = 20 – y
x = 10/v
x = 20/y

Question 41 of 60

41. Question

If x varies inversely as y and x=2 when y=8, find the constant of variation.

1/4
1/2
4
8
16

Question 42 of 60

42. Question

If x varies directly as square root of q when x = 6 and q = 4. find the formula connecting x and q

x = 2/3√q
x = 2√q
x = √q
x = 3√q
x = 3p

Question 43 of 60

43. Question

Which of the following methods cannot be used in representing a statistical data?

Bar chart
Frequency table
Ogive
Pie chart
Time table

Question 44 of 60

44. Question

Find the range of the following set of numbers: 80, 63, 72, 12, 83, 44, 22, 13, 41, 52, 11, 8.

76
75
74
73
72

Question 45 of 60

45. Question

What is the median of the following set of numbers: 3.5, 4.7, 1.2, 3.4, 5.7, 7.5?

2.3
3.2
4.1
4.6
8.2

Question 46 of 60

46. Question

The ages (in years) of some students in a certain class are given as 10, 14, 12, 13, 16, 14 and 12. Determine their mean age.

12
13
14
15
16

Question 47 of 60

47. Question

The scores of seven students in a test are as follows: 25, 30, 19, 19, 18, 17, 16. What is the modal score?

30
25
19
18
14

Question 48 of 60

48. Question

If the mean of a x, 7, 12, 13 and 15 is 10.4, find the value of x

4
5
6
7
8

Question 49 of 60

49. Question

The weights of 7 students in a class are as follow: 35kg, 42kg, 38kg, 28kg, 37kg, 47kg, 30kg. Find the range of their weights in kg.

9
12
14
17
19

Question 50 of 60

50. Question

Find the product of the median and the mode of the following set of data: 6, 3, 9, 5, 3.

8
15
19
21
26

Question 51 of 60

51. Question

Find the mode of the following set of data: 9, 6, 7, 12, 20, 6 16

5
7
16
17
6

Question 52 of 60

52. Question

The average age of 6 girls is 14 years. When another girl is added, the average age becomes 13 years. What is the age of the new girl added?

6 years
7 years
8 years
9 years
11 years

Question 53 of 60

53. Question

A factory employs 30 workers. 12 of them earn ₦1,500.00 each per day, 9 earn ₦1,200.00 each per day while each of the rest earn ₦1,000.00 per day. What is the average daily wage?

₦1,200.00
₦1,260.00
₦1,440.00
₦1,488.00
₦1,492.00

Question 54 of 60

54. Question

The probability that my uncle will visit us next month is 2/9. What is the probability that he will not visit us?

1/2
1/2
5/9
2/3
7/9

Question 55 of 60

55. Question

A letter is chosen at random from the word MATHEMATICS’. What is the probability that the letter is ‘T’?

1/11
2/11
1/2
9/11
5/12

Question 56 of 60

56. Question

There are 6 white, 5 red and 4 green beads of the same size in a box. What is the probability of picking a green bead from the box?

3/4
2/3
1/2
4/15
2/5

Question 57 of 60

57. Question

The pie chart shows the food bought by a woman.

If her total expenditure is ₦120,000.00. how much was spent on rice?

₦20,000.00
₦23,300.00
₦66.600.00
₦100,000.00
₦120.000.00

Question 58 of 60

58. Question