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

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

4

10

24

2.4

2 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

4

5

3

6

3 / 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

4 / 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

1/2

5/16

5/8

5 / 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

7.0cm

2.6cm

3.5cm

6 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In the figure, find x

60 degrees

55 degrees

50 degree

40 degrees

7 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

7%

8%

10%

5%

8 / 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.

3

2

0

1

9 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

2, ½

1, ½

0, 2

½ , 2

10 / 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

3

2

1

11 / 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

12 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the cyclic quadrilateral above, find < TVS

50 degree

80 degree

60 degree

70 degree

13 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If x₁₀ = 23₅. Find x

14

12

15

13

14 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify (3√64a³) $^{- 1}$

8a

1/4a

1/8a

4a

15 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find at which rate per annum simple interest N525 will amount to N588 in 3 years

5%

3%

4%

2%

16 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify √30 × √40

10 √3

5 √3

20 √3

15 √3

17 / 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?

54

20

70

42

18 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

10.2

10

11.2

11.3

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

3

6

8

4

20 / 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

13°

48.6°

46.8°

56.3°

21 / 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?

10

35

30

45

22 / 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≤2

-3≤t≤4

-3≤t≤1

23 / 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

24 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

592cm square

148cm square

1920cm square

296cm square

25 / 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

16

4

20

26 / 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

N257,000

N157,250

N365,217

27 / 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

22

17

20

28 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

33

40

36

32

29 / 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

₦ 5,000

₦ 4,900

₦ 4,000

30 / 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

31 / 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

32 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

12

16

10

8

33 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

20

30

60

48

34 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

25%

15%

10%

35%

35 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the letters LEADER be arranged?

72

360

144

720

36 / 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

37 / 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

₦ 20,000

₦ 35, 000

₦ 40,000

₦ 25,000

38 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Solve x² − 2x − 3 = 0

x = 1 or 0

x = 1 or 2

x = 3 or -1

x = 2 or 1

39 / 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

10cm

10.5cm

40 / 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

1.0

0.07

0.03

1.03

41 / 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

7x + 5y = 70

15x + 17y = 90

xy = 7

42 / 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)

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

101.33cm

42.67cm

513.33cm

14.67cm

44 / 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

4

3

45 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

If log₅20 = x, find x

1.354

2.549

1.861

1.761

46 / 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

100 degrees

10 degrees

47 / 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

6πcm

9πcm

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?

405Km

210Km

200Km

420Km

49 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the diagram above, Find the value of < ROP

70 degrees

95 degrees

85 degrees

110 degrees

50 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

7.51

7.71

7.55

5.5

51 / 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

3/24

2/15

3/28

52 / 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 + 4π)cm

(12 + 6π)cm

(24 + 6 π)cm

53 / 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

10

16

14

12

54 / 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?

25%

32%

60%

20%

55 / 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

47

54

46

56 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

-t

t

-2

2

57 / 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

x + 2y = 8

2x + y = 9

2x + 3y = 8

58 / 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}

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

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

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

59 / 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

248m

382m

148m

60 / 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

026°

045°

210°

240°

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