JAMB MATHEMATICS PAST QUESTIONS

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

160 litres

720 litres

960 litres

225 litres

2 / 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

half as much

twice as much

three times as much

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)

17.1cm square

37.3cm sqaure

47.1cm square

27.2cm square

4 / 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}

5 / 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%

6 / 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

7 / 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?

8 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

N80

N150

N100

N20

9 / 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)

x + 2y = 8

2x + y = 9

2x + 2y = 9

2x + 3y = 8

10 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From a point R, 300m north of P, a man walks eastward to a place Q which is 600m from P. Find the bearing of P from Q, correct to the nearest degree

210°

045°

026°

240°

11 / 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

₦ 4,700

₦ 4,900

₦ 4,000

₦ 5,000

12 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the diagram above, Find the value of < ROP

70 degrees

110 degrees

95 degrees

85 degrees

13 / 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?

24 degree

32 degree

36 degree

39 degree

14 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the range of the following set of numbers 0.4, −0.4, 0.3, 0.47, −0.53, 0.2 and −0.2

1.03

0.03

1.0

0.07

15 / 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.

N820

N4,920

N676.50

N1,640

16 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the letters LEADER be arranged?

144

360

720

17 / 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

7/22

1/11

6/11

5/22

18 / 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)

19 / 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

20 / 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

9πcm

2πcm

6πcm

21 / 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°

13°

48.6°

46.8°

22 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In the figure, find x

60 degrees

40 degrees

55 degrees

50 degree

23 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

How many sides has a regular polygon whose interior angles are 120°each

24 / 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

1/3

3/4

1/2

25 / 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 = $\frac{22}{7}$ )

14.67cm

42.67cm

101.33cm

513.33cm

26 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Rationalize 5 ÷ (2 − √3)

3 √2 + 1

2(3 + √5)

3(2 + √5)

5(2 + √3)

27 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the cyclic quadrilateral above, find < TVS

60 degree

50 degree

70 degree

80 degree

28 / 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

3.6cm

3.5cm

7.0cm

2.6cm

29 / 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

30 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Given the quadrilateral RSTO inscribed in the circle with O as centre. Find the size angle x and given RST = 60^o

120 degrees

140 degrees

10 degrees

100 degrees

31 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

148cm square

1920cm square

592cm square

296cm square

32 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60^o.

(24 + 4π)cm

(12 + 6π)cm

(24 + 6 π)cm

(12 + 4π)cm

33 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If log₅20 = x, find x

2.549

1.761

1.354

1.861

34 / 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%

35 / 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?

36 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

37 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

38 / 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

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

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

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

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

39 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

What is the loci of a distance 4cm from a given point P?

perpendicular to point P at 4cm

A straight line of length 4cm

a circle of diameter 4cm

a circle of radius 4cm

40 / 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?

41 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the diagram above, find the value of < OTQ

230 degrees

65 degrees

55 degrees

115 degrees

42 / 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

N15,000

N44,000

N40,000

43 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

x ≤ -1, x ≥ 4

x ≤ -1, o ≤ x ≤ 4

x ≤ 4

-1 ≤ x ≤ 4

44 / 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?

45 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

46 / 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.

9/20

11/20

2/10

1/10

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

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

175cm cube

155cm cube

157cm cube

145cm cube

49 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

N50.10K

N48.75K

N15.75K

N75.50K

50 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

What is the place value of 9 in the number 3.0492?

9/100

9/1000

9/10000

9/10

51 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

-2

-t

52 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

-1

53 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

7.55

7.71

7.51

5.5

54 / 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 = 3

nth = 4

nth = 6

nth = 5

55 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

5.40%

2.5%

1.0%

56 / 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.

23m

20m

22m

25m

57 / 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

₦ 20,000

₦ 25,000

₦ 40,000

58 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

0.0081

0.81

8.0001

0.081

59 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

60 / 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?

3000

4000

2000

1000

Your score is

⇓ Fully Funded Scholarships ⇓

⇒ Fully Funded Scholarships for Students & Teachers

⇒ USA Fully Funded Scholarships for Internatioal Students

⇒ Canada Fully Funded Scholarships for International Students

⇒ Germany Fully Funded Scholarships for Students

⇒ European Scholarships for International Students

⇒ US Fully Funded Scholarships for Africans

⇒ UK Fully Funded Scholarships for International Students

⇒ Australia Fully Funded Scholarships for International Students

⇒ US Scholarships for Nigerian Students

SUBSCRIBE BELOW FOR A GIVEAWAY

We built School Portal NG to specially serve as an alternative means to provide free education for the less-privileged children or children born to low-income earners, adults who otherwise cannot afford to finance their way through school.

Building & maintaining an elearning portal is very expensive, but this portal is free. Help to keep this learning portal free by donating or supporting us. We accept donations, grants, sponsorships & support to help reach out to more children. Thank you so much. Click here to donate

Leave a Reply Cancel reply