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?

960 litres

160 litres

720 litres

225 litres

2 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

10

6

9

7

3 / 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

4

3

6

8

4 / 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?

16

20

22

17

5 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The base in which the operation was performed was

4

5

2

6

6 / 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?

N12,000

N16,200

N14,200

N8,000

7 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If √ (2x + 2) − √x =1 ,find x.

x = 2 twice

x = 0 or 1

x = 3 or 1

x = 1 twice

8 / 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

420Km

200Km

405Km

9 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

-2

t

2

-t

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

513.33cm

42.67cm

14.67cm

101.33cm

11 / 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}

12 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

xy = 7

15x + 17y = 90

5x + 7y = 20

7x + 5y = 70

13 / 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?

35

10

30

45

14 / 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

15 / 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}

{⅓, 1, 2}

{3, 4, ⅓}

16 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the diagram above, Find the value of < ROP

70 degrees

110 degrees

95 degrees

85 degrees

17 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

7.71

7.55

7.51

5.5

18 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

A straight line of length 4cm

a circle of radius 4cm

perpendicular to point P at 4cm

a circle of diameter 4cm

19 / 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

12

16

14

10

20 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find x if 132_x = 70 _eight.

1

5

3

6

21 / 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

045°

026°

240°

210°

22 / 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

6/11

7/22

23 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the word MACICITA be arranged?

8!/2!2!2!

8!/3!2!

8!

8!/2!

24 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the letters LEADER be arranged?

360

720

144

72

25 / 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

N720.00

N684.00

N756.00

26 / 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

3000

4000

1000

27 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

6

4

3

5

28 / 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

29 / 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

30 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Rationalize 5 ÷ (2 − √3)

3 √2 + 1

5(2 + √3)

3(2 + √5)

2(3 + √5)

31 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

-1 ≤ x ≤ 4

x ≤ -1, x ≥ 4

x ≤ -1, o ≤ x ≤ 4

x ≤ 4

32 / 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

33 / 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?

16

8

20

4

34 / 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.

2πcm

9πcm

6πcm

3πcm

35 / 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?

25

50

15

30

36 / 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.

282m

148m

248m

382m

37 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

-1

1

2

0

38 / 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°

13°

46.8°

39 / 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?

6

5

3

4

40 / 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

17.1cm square

27.2cm square

37.3cm sqaure

41 / 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

3/8

5/8

5/16

1/2

42 / 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

2.6cm

3.5cm

7.0cm

43 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If a rod 10cm in length was measured as 10.5cm, calculate the percentage error

10%

5%

7%

8%

44 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Convert 0.04945 to two significant figures

0.049

Convert 0.04945 to two significant figures

0.49

0.050

45 / 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

3/21

3/28

46 / 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.

15cm

52cm

40cm

43cm

47 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

145cm cube

157cm cube

155cm cube

175cm cube

48 / 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}

15

21

20

225

49 / 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?

4

2

3

1

50 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

20

48

30

60

51 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

3/2

-1

3/2

2/1

52 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

10

10.2

11.3

11.2

53 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

296cm square

592cm square

148cm square

1920cm square

54 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In the figure, find x

55 degrees

50 degree

40 degrees

60 degrees

55 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

40

32

36

33

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}

{2, 3, 4}

{2, 3}

57 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the word MATHEMATICS be arranged?

11!/2!2!

11!/9!2 !

11!/2!2!2!

11!/9!2!2

58 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

9/10

9/100

9/1000

9/10000

59 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

16

10

8

12

60 / 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?

N257,000

N157,250

N365,217

N410,000

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JAMB MATHEMATICS PAST QUESTIONS

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