JAMB MATHEMATICS PAST QUESTIONS

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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.

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1 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Solve x² − 2x − 3 = 0

x = 3 or -1

x = 1 or 0

x = 1 or 2

x = 2 or 1

2 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The sum of two numbers is 5; their product is 14. Find the numbers.

x = 5 or 1

x = 7 or − 2

x = 7 or 0

x = 7 or 1

3 / 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 = 5

nth = 3

nth = 4

nth = 6

4 / 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

N1,640

N676.50

5 / 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

₦ 25,000

₦ 40,000

₦ 20,000

₦ 35, 000

6 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Calculate the value of x and y if (27^x ÷ 81^x+2y = 9 ,x + 4y = 0

x − 0, y = 1

x = 2, y = – 1/2

x = 1, y = 1/2

x = 2, y = –1

7 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the letters LEADER be arranged?

720

360

72

144

8 / 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

3/24

2/15

9 / 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%

3%

5.40%

2.5%

10 / 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?

N16,200

N12,000

N14,200

N8,000

11 / 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

12 / 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

46

54

47

13 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

t

2

-2

-t

14 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the word MATHEMATICS be arranged?

11!/9!2!2

11!/2!2!2!

11!/2!2!

11!/9!2 !

15 / 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

{2}

{3, 4, 6}

{2, 3}

{2, 3, 4}

16 / 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

17 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

A man with an annual salary of N2000, has allowances of N600. If Income Tax is 5%. How much tax does he pay each year?

20

30

25

15

18 / 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.

24cm

36cm

28cm

32cm

19 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

From the cyclic quadrilateral above, find < TVS

80 degree

50 degree

70 degree

60 degree

20 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

2%

3%

4%

5%

21 / 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.

2

1

3

0

22 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

7%

10%

5%

8%

23 / 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.

40cm

15cm

52cm

43cm

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

1/2

3/4

1/3

25 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Find the x and y intercepts of the graph of 3x - z $\leq$ 9

(-3, 9)

(-3, -9)

(3, -9)

(-3, 0)

26 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

50.3cm sqaure

15.7cm sqaure

17.4cm square

10.3cm square

27 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

9

6

10

7

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.

11/20

1/10

2/10

9/20

29 / 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?

N365,217

N257,000

N157,250

N410,000

30 / 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

3.5cm

3.6cm

2.6cm

7.0cm

31 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

N15.75K

N48.75K

N75.50K

N50.10K

32 / 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}

33 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The venn diagram shows a class of 50 students with the games they play. How many students play only two games

15

16

20

18

34 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

10

11.2

10.2

11.3

35 / 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)

(2,3,18)

(2,3,9)

36 / 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

15/17

8/15

12/17

9/17

37 / 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

N40,000

N15,000

N44,000

38 / 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

5/16

3/8

5/8

39 / 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?

4

16

20

8

40 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

175cm cube

157cm cube

155cm cube

145cm cube

41 / 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?

three times as much

half as much

twice as much

the same

42 / 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)

37.3cm sqaure

17.1cm square

47.1cm square

27.2cm square

43 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify 4 √[(390695T− 8)½)]

5/T

1/T

T/5

2T

44 / 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?

200Km

420Km

405Km

210Km

45 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

x ≤ -1, o ≤ x ≤ 4

x ≤ 4

x ≤ -1, x ≥ 4

-1 ≤ x ≤ 4

46 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

The base in which the operation was performed was

2

6

5

4

47 / 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

100 degrees

10 degrees

140 degrees

48 / 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

10.5cm

12cm

10cm

49 / 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 + 3y = 8

2x + y = 9

x + 2y = 8

50 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

2, ½

½ , 2

1, ½

0, 2

51 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

36

40

32

33

52 / 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?

42

70

20

54

53 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

Simplify (3√64a³) $^{- 1}$

1/4a

1/8a

4a

8a

54 / 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?

20

16

22

17

55 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

6

7

3

5

56 / 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

5/22

6/11

1/11

57 / 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

N1,080.00

N 3,600.00

58 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

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

8.0001

0.81

0.081

0.0081

59 / 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?

117 degrees

123 degrees

170 degrees

137 degrees

60 / 60

Category: JAMB MATHEMATICS PAST QUESTIONS

In how many ways can the word MACICITA be arranged?

8!/2!

8!/2!2!2!

8!/3!2!

8!

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