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

The curved surface area of a cylinder 5cm high is 110cm². Find the radius of its base
π = 22/7

7.0cm

3.6cm

2.6cm

3.5cm

2 / 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 = 4

nth = 6

nth = 3

nth = 5

3 / 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

4 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?

5 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The sum of the interior angles of a polygon is a given as 1080^o. Find the number of the sides of the polygon.

6 / 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

7 / 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 + 2y = 9

2x + y = 9

x + 2y = 8

2x + 3y = 8

8 / 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°

13°

48.6°

9 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

One bag contain 3 blue and 5 red balls, another bag contain 2 blue and 4 red balls respectively. One ball is drawn for each bag. What is the probability both balls are blue

3/24

2/15

3/28

3/21

10 / 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?

N157,250

N365,217

N257,000

N410,000

11 / 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

12 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Given that Z = {1,2,4,5} what is the power of set Z?

13 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

12/17

8/15

9/17

15/17

14 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The probabilities that John and James pass an examination are $\frac{3}{4}$ and $\frac{3}{5}$ respectively. Find the probability of both boys failing the examination.

2/10

11/20

9/20

1/10

15 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

1.0%

2.5%

5.40%

16 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Solve x² − 2x − 3 = 0

x = 1 or 0

x = 2 or 1

x = 1 or 2

x = 3 or -1

17 / 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?

160 litres

960 litres

225 litres

720 litres

18 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

An arc subtends an angle of 30^o at the centre of a circle radius 12cm. Calculate the length of the arc.

9πcm

3πcm

6πcm

2πcm

19 / 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

10.5cm

5cm

12cm

10cm

20 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

21 / 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

1/11

6/11

5/22

7/22

22 / 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 3,000.00

N1,080.00

N 3,600.00

N 2,400.00

23 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify √30 × √40

5 √3

15 √3

10 √3

20 √3

24 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

-1

3/2

2/1

3/2

25 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

26 / 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.

32cm

36cm

24cm

28cm

27 / 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

5/8

5/16

3/8

1/2

28 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the range of values of t which satisfies the inequality.

2t − 1 $\leq$ 3 and 2− t $\geq$ 5

-3≤t≤1

-3≤t≤2

-3≤t≤4

-2≤t≤3

29 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point

½ , 2

1, ½

0, 2

2, ½

30 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the diagram above, find the value of < OTQ

55 degrees

230 degrees

115 degrees

65 degrees

31 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon

32 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find x if 132_x = 70 _eight.

33 / 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?

420Km

200Km

405Km

210Km

34 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

8.0001

0.0081

0.81

0.081

35 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify 4 √[(390695T− 8)½)]

T/5

1/T

5/T

36 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is

-t

-2

37 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A man bought a car for N800 and sold it for N520. Find his loss per cent

15%

25%

35%

10%

38 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the word MATHEMATICS be arranged?

11!/2!2!2!

11!/9!2!2

11!/2!2!

11!/9!2 !

39 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The base in which the operation was performed was

40 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Given that A = {1, 5, 7}

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

{1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}

{2, 4, 5, 9, 12, 15}

{1, 5, 6, 7, 8, 9, 12, 15}

{1, 2, 3, 5, 6, 8, 12, 15}

41 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The area of a circle of radius 4cm is equal to (Take π = 3.142 )

17.4cm square

10.3cm square

15.7cm sqaure

50.3cm sqaure

42 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old distance was?

half as much

twice as much

the same

three times as much

43 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?

N14,200

N8,000

N12,000

N16,200

44 / 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?

32%

20%

25%

60%

45 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If x₁₀ = 23₅. Find x

46 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

2.4

47 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 7, 10, 6, 5

48 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If log₅20 = x, find x

2.549

1.354

1.761

1.861

49 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If Q is a factor of 18 and T is prime numbers between 2 and 18. What is Q $\cap$ T?

(2,3,9)

(2,3,6)

(2,3)

(2,3,18)

50 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify (3√64a³) $^{- 1}$

1/8a

1/4a

51 / 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?

N15,000

N44,000

N40,000

N36,000

52 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Rationalize 5 ÷ (2 − √3)

3(2 + √5)

5(2 + √3)

2(3 + √5)

3 √2 + 1

53 / 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?

137 degrees

123 degrees

117 degrees

170 degrees

54 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The amount A to which a principal P amounts at r% compound interest for n years is given by the formula A = P(1 + (r ÷ 100))n. Find A, if P = 126, r = 4 and n = 2

N136.30K

N125.40K

N257.42K

N132.50K

55 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

56 / 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, 3}

{2}

57 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = $\frac{22}{7}$ )

42.67cm

14.67cm

513.33cm

101.33cm

58 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

x ≤ -1, o ≤ x ≤ 4

x ≤ -1, x ≥ 4

x ≤ 4

-1 ≤ x ≤ 4

59 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?

2000

4000

1000

3000

60 / 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?

1/3

3/4

1/2

2/5

Your score is

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