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 x + y = 90 simplify (sinx + siny)²−2sinx siny

-1

2 / 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.

3πcm

2πcm

9πcm

6πcm

3 / 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

2/5

1/2

3/4

4 / 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?

960 litres

720 litres

225 litres

160 litres

5 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If duty is levied at 25%, find the duty to be added to a bill of N80.

N100

N80

N20

N150

6 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Rationalize 5 ÷ (2 − √3)

3(2 + √5)

3 √2 + 1

5(2 + √3)

2(3 + √5)

7 / 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°

48.6°

46.8°

13°

8 / 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

15/17

9/17

8/15

9 / 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?

10 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

11 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find x if 132_x = 70 _eight.

12 / 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

12cm

5cm

10.5cm

10cm

13 / 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

14 / 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

-2≤t≤3

-3≤t≤4

-3≤t≤1

-3≤t≤2

15 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A public car dealer marked up the cost of a car at 30% in an attempt to make 20% gross profit. Due to the value of dollar, he now placed 20% discount on the car. What profit or loss will he make?

16 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

xy = 7

5x + 7y = 20

7x + 5y = 70

15x + 17y = 90

17 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the principal which amounts to ₦ 5,500 at a simple interest in 5 years at 2% per annum

₦ 4,900

₦ 5,000

₦ 4,700

₦ 4,000

18 / 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)

17.1cm square

27.2cm square

47.1cm square

37.3cm sqaure

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 = 6

nth = 4

nth = 5

nth = 3

20 / 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

₦ 35, 000

₦ 25,000

₦ 20,000

₦ 40,000

21 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the simple interest on N325 in 5years at 3% per annum.

N48.75K

N15.75K

N75.50K

N50.10K

22 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If the simple interest on a sum of money invested at 3% per annum for 2 and half years is N123, find the principal.

N1,640

N676.50

N820

N4,920

23 / 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 2,400.00

N 3,000.00

N 3,600.00

N1,080.00

24 / 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?

4000

3000

2000

1000

25 / 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, 11, 15}

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

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

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

26 / 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

3/21

3/28

2/15

3/24

27 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

3/2

-1

2/1

3/2

28 / 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.

1/10

11/20

2/10

9/20

29 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In the figure, find x

60 degrees

55 degrees

40 degrees

50 degree

30 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

x ≤ 4

x ≤ -1, x ≥ 4

-1 ≤ x ≤ 4

x ≤ -1, o ≤ x ≤ 4

31 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

0, 2

1, ½

½ , 2

2, ½

32 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The bar chart above shows the number of visitors received in a week. How many visitors were received on Friday, Tuesday and Sunday?

33 / 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

2.6cm

3.5cm

7.0cm

3.6cm

34 / 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

6/11

5/22

7/22

1/11

35 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If √ (2x + 2) − √x =1 ,find x.

x = 2 twice

x = 3 or 1

x = 1 twice

x = 0 or 1

36 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

X and Y are two sets such that nX = 15, nY = 12 and n{∩ Y} = 7. Find ∩{X ∪ Y}

225

37 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The base in which the operation was performed was

38 / 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}

{2, 3}

{2, 3, 4}

39 / 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?

(2,3,6)

(2,3,9)

(2,3)

(2,3,18)

40 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

7.55

7.71

5.5

7.51

41 / 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

42 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

296cm square

1920cm square

592cm square

148cm square

43 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

44 / 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 = 7 or − 2

x = 5 or 1

45 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the cyclic quadrilateral above, find < TVS

60 degree

70 degree

50 degree

80 degree

46 / 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?

the same

twice as much

three times as much

half as much

47 / 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

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

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

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

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

48 / 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

49 / 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.

148m

248m

282m

382m

50 / 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

1/2

5/8

3/8

5/16

51 / 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

N16,200

N8,000

N12,000

52 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

10.3cm square

50.3cm sqaure

17.4cm square

15.7cm sqaure

53 / 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

N132.50K

N125.40K

N257.42K

54 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In a school of 150 students, 80 offer French while 60 offer Arabic and 20 offer neither. How many students offer both subjects?

55 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Given that A = {3, 4, 1, 10, ⅓ }

B = {4, 3 ⅓, ⅓, 7}.

Find A∩B

{1, 3, ⅓}

{3, 4, ⅓}

{}

{⅓, 1, 2}

56 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

57 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify (3√64a³) $^{- 1}$

1/8a

1/4a

58 / 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?

59 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

11.3

10.2

11.2

60 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

2.4

Your score is

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