JAMB MATHEMATICS PAST QUESTIONS

JAMB MATHEMATICS PAST QUESTIONS

Attempt 60 questions that will be selected from our question bank. You have 2 hours to answer all questions.

These questions are drawn from different years of JAMB past questions

You can retake the exams as many times as possible.

Goodluck

1 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If m * n = [m_n − n_m] for m, n belong to R, evaluate − 3 * 4

2 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

43cm

52cm

40cm

15cm

3 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14)

47.1cm square

37.3cm sqaure

27.2cm square

17.1cm square

4 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the gradient of the line joining the points (3, 2) and (1, 4)

3/2

2/1

-1

3/2

5 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If three staff of Myschool Limited agreed to share their salary arrears in the ration of their ages, which are 18 years, 20 years, 22 years respectively. If the sum of the money collected is N120,000.00K, How much does the second staff received?

N36,000

N44,000

N15,000

N40,000

6 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place)

7.71

7.51

5.5

7.55

7 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm

148cm square

296cm square

592cm square

1920cm square

8 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Given U = {xx is a positive integer less than 15} and P = {xx is even number from 1 to 14}. Find the compliment

{2, 3, 5, 7, 9, 11, 13}

{2, 3, 5, 7, 11, 15}

{1, 3, 5, 7, 9, 11, 13, 15}

{1, 3, 5, 7, 9, 11, 13}

9 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Divide the L.C.M of 48, 64 and 80 by their H.C.F

10 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is ₦ 80 000. Find the amount allocated to fertilizer

₦ 40,000

₦ 35, 000

₦ 20,000

₦ 25,000

11 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

y is inversely proportional to x and y and 6 when x = 7. Find the constant of the variation

12 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If the mean of 4, y, 8 and 10 is 7. Find Y?

13 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify √30 × √40

10 √3

20 √3

5 √3

15 √3

14 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify 4 √[(390695T− 8)½)]

T/5

1/T

5/T

15 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Factorize completely x² + 12xy + y + 3x + 3y - 18

(x - y + 6)(x - y - 3)

(x + y - 6)(x + y + 3)

(x + y + 6)(x + y -3)

(x - y - 6)(x - y + 3)

16 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

An arc of the length 16 $π$ cm subtends an angle of 80^o at the centre of the circle. Find the radius of the circle.

28cm

32cm

36cm

24cm

17 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him?

N410,000

N365,217

N257,000

N157,250

18 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If a car travels 120km on 45 litres of petrol, how much petrol is needed for a journey of 600km?

720 litres

160 litres

960 litres

225 litres

19 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The first and last term of a linear sequence (AP) are 6 and 10 respectively. If the sum of the sequence is 40. Find the number of terms

nth = 5

nth = 4

nth = 3

nth = 6

20 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A boy walks 800 m in 20 minutes. Calculate his average speed in Km/H

2.4

21 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?

22 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6

5/16

5/8

1/2

3/8

23 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the word MACICITA be arranged?

8!/2!2!2!

8!/2!

8!/3!2!

24 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12

5x + 7y = 20

15x + 17y = 90

7x + 5y = 70

xy = 7

25 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The venn diagram shows a class of 50 students with the games they play. How many students play only two games

26 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the diagram above, Find the value of < ROP

95 degrees

85 degrees

110 degrees

70 degrees

27 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given.

Mark	0	1	2	3	4	5
Frequency	1	2	7	5	4	3

What is the median mark?

28 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In the diagram MN, PQ and RS are parallel lines. What is the value of the angle marked X?

117 degrees

123 degrees

137 degrees

170 degrees

29 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newton’s is 2cm, find the extension produced by a tension of 12 newton’s.

30 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A car dealer bought a second-hand car for of 250,000 and spent N 70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?

60%

20%

32%

25%

31 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1.

32 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In a town of 6250 inhabitants, there were 62 births during 1984. Find the percentage birth rate

2.5%

5.40%

1.0%

33 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Given T = { even numbers from 1 to 12 }
N = {common factors of 6, 8 and 12}
Find T ∩ N

{3, 4, 6}

{2, 3, 4}

{2}

{2, 3}

34 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the x and y intercepts of the graph of 3x - z $\leq$ 9

(-3, 9)

(-3, 0)

(-3, -9)

(3, -9)

35 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The sum of two numbers is 5; their product is 14. Find the numbers.

x = 7 or 0

x = 7 or 1

x = 5 or 1

x = 7 or − 2

36 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A car uses one litre of petrol for every 14km. If one litre of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?

210Km

405Km

420Km

200Km

37 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the diagram above, find the value of < OTQ

230 degrees

55 degrees

115 degrees

65 degrees

38 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

n a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

39 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The pie chart above shows the distribution of subjects offered by students in SSS III level. If 80 students enrolled in the class. What is the size of the angle of the sector in economics?

32 degree

36 degree

39 degree

24 degree

40 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Rationalize 5 ÷ (2 − √3)

3 √2 + 1

2(3 + √5)

5(2 + √3)

3(2 + √5)

41 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given.

Mark	0	1	2	3	4	5
Frequency	1	2	7	5	4	3

What is the probability of selecting a student from the group that scored 2 or 3

5/22

1/11

7/22

6/11

42 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Convert 0.04945 to two significant figures

0.049

0.050

0.49

43 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the diagram above, find the required roots/region of x

x ≤ -1, x ≥ 4

x ≤ 4

x ≤ -1, o ≤ x ≤ 4

-1 ≤ x ≤ 4

44 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify (3√64a³) $^{- 1}$

1/8a

1/4a

45 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A man's initial salary is N540.00 a month and increases after each period of six months by N36.00 a month. Find his salary in the eight month of the third year.

N828.00

N756.00

N720.00

N684.00

46 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B?

2/5

3/4

1/2

1/3

47 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A cylindrical tank has a capacity of 3080m³. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7.

25m

23m

20m

22m

48 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The area of an ellipse is 132cm².The length of its major axis is 14cm.Find the length of it minor axis

5cm

10cm

12cm

10.5cm

49 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells 2/3 of her share to Taiwo for N720.00. Find the value of the store

N 3,600.00

N 3,000.00

N 2,400.00

N1,080.00

50 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In the figure, find x

40 degrees

55 degrees

60 degrees

50 degree

51 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If line p = 5x + 3 is parallel to line p = wx + 5. Find the value of w.

52 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The volume of a cone (s) of height 6cm and base radius 5cm is

175cm cube

145cm cube

157cm cube

155cm cube

53 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

248m

282m

148m

382m

54 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out?

55 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23.

11.2

11.3

10.2

56 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the word MATHEMATICS be arranged?

11!/2!2!

11!/9!2 !

11!/9!2!2

11!/2!2!2!

57 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Calculate the value of x and y if (27^x ÷ 81^x+2y = 9 ,x + 4y = 0

x − 0, y = 1

x = 1, y = 1/2

x = 2, y = – 1/2

x = 2, y = –1

58 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Age in years	7	8	9	10	11
No of pupils	4	13	30	44	9

The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is

56.3°

46.8°

48.6°

13°

59 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the equation of the locus of a point p (x, y) such that pv = pw, where v= (1, 1) and w = (3, 5)

2x + y = 9

2x + 3y = 8

x + 2y = 8

2x + 2y = 9

60 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify (0.09)² and give your answer correct to 4 significant figures

0.081

0.81

0.0081

8.0001

Your score is

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