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Master JAMB Maths with Our Comprehensive CBT Practice Test

Are you gearing up for the JAMB Mathematics exam? Elevate your preparation with our tailored JAMB CBT Practice Test for Maths. Designed to mimic the actual exam interface, our practice tests provide a realistic exam experience, enabling you to familiarize yourself with the CBT format.

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Created on April 24, 2023 By Ace/Undergragra

JAMB MATHS MOCK TEST

1 / 40

1. If y varies inversely as x and x = 3 when y =4. Find the value of x when y = 12.

A. 1

B. 2

C. 3

D. 4

2 / 40

2.

If x is positive real number, find the range of values for which 13x + 12 > 14x

A. x > 0

B. x > - 1/6

C. 0 < x < 6

D. 0 < x < 1/6

3 / 40

3.

Integrate the expression 6x2 - 2x + 1

A. 2x 3 - x 2 + x + c

B. x 3 + x 2 – x + c

C. 2x 3 – 3x 2 + c

D. 3x 3 - 2x 2 + x + c

4 / 40

4.

Find the value of x if√2/ 2x+2 = 1/x−√2

A. 3 - 2√ 2

B. 3 √ 2 + 4

C. 3 √ 2 - 4

D. 4 + 2√ 2

5 / 40

5.

The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?

A. 64

B. 16

C. 35/2

D. 35/3

6 / 40

6. A binary operation x is defined by a x b = ab. If a x 2 = 2 - a, find the possible values of a?

A. 1, -1

B. 2, -1

C. 1, -2

D. 2, -2

7 / 40

7.

If 6x^3+2x^2−5x+1 divides x^2−x−1, find the remainder.

A. 5x - 3

B. 9x + 9

C. 6x + 8

D. 2x + 6

8 / 40

8.

Evaluate log2 8 – log3 19

A. -1

B. -1 1 /5

C. 1

D. 5

9 / 40

9.

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

A. 5x + 7y = 20

B. xy = 7

C. 15x + 17y = 90

D. 7x + 5y = 70

10 / 40

10. Factorize 4a2 - 9b2

A. (2a-b) (2a+3b)

B. (2a-3b) (a+3b)

C. (2a-3b) (2a+3b)

D. (a-3b) (a+3b)

11 / 40

11.

The base in which the operation was performed was

 

A. 6

B. 5

C. 4

D. 2

12 / 40

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

A. 60

B. 30

C. 20

D. 48

13 / 40

13.

Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells 23 of her share to Taiwo for N720.00. Find the value of the store

A. N3,600.00

B. N2,400.00

C. N1,080.00

D. N3,000.00

14 / 40

14.

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

A. 12/17

B. 8/15

C. 19/17

D. 15/17

15 / 40

15. Three times a certain number (x), minus 2 is less than the number minus 6. Find the possible values of x.

A. x <-2

B. x>2

C. x>-2

D. x<2

16 / 40

16.

If n(P) = 20 and n(Q) = 30 and n(PuQ) = 40, find the value n(PnQ).

A. 40

B. 30

C. 15

D. 10

17 / 40

17. The pie chart shows the income of a civil servant in month. If his monthly income is N6,000. Find his monthly basic salar

A. N2,050

B. N2600

C. N3,100

D. N3,450

18 / 40

18.

If 8, p, q and 26 is an A.P. Find the values of p and q.

A. p = 20 and q = 14

B. p = 14 and q = 14

C. p = 14 and q = 20

D. p = 20 and q = 20

19 / 40

19. Find the simple interest rate percent annum at which N1000 accumulates to N1240 in 3 year

A. 6%

B. 10%

C. 8%

D. 12%

20 / 40

20. If a dress is sold for #3800.00 at a 20% discount. what is its original price?

A. #3,000.00

B. #4,750.00

C. #5,000.00

D. #4,000.00

21 / 40

21. If y = 8x^3 - 3x^2 + 7x - 1, find d^2y/dx^2

A. 11x 2 + 6x - 7

B. 48x - 6

C. 24x 2 - 6x + 7

D. 32x + 7

22 / 40

22.

The number line is represented by inequality.

A. x≤2

B. x<2

C. x>2

D. x≥2

23 / 40

23.

0.00256×0.0064/0.025×0.08

 

A. 8.8 x 10 − 3

B. 8.8 x 10 3

C. 8.8 x 10 − 2

D. 8.8 x 10 − 1

24 / 40

24.

Three consecutive terms of a geometric progression are give as n - 2, n and n + 3. Find the common ratio

A. 2/3

B. 1/4

C. 3/2

D. 1/2

25 / 40

25.

Given sin⁡58°=cos⁡p°, find p.

A. 32 degree

B. 52 degree

C. 38 degree

D. 48 degree

26 / 40

26. 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.

A. 52cm

B. 43cm

C. 15cm

D. 40cm

27 / 40

27. Let (*) be a binary operation on a natural number defined by a * b = a - b + (ab)2, then find 3 * 5

A. 232

B. 223

C. -232

D. 32

28 / 40

28.

Differentiate 2x/sin⁡x with respect to x.

A. 2 cosec x - x cot x

B. 2x cosec x + tan x

C. 2 cot x sec x(1 + tan x)

D. 2 cosec x( 1 - x cot x)

29 / 40

29.

In how many ways can the letters LEADER be arranged?

A. 144

B. 720

C. 74

D. 360

30 / 40

30. Copy - A binary operation x is defined by a x b = ab. If a x 2 = 2 - a, find the possible values of a?

A. 2, -1

B. 2, -2

C. 1, -1

D. 1, -2

31 / 40

31.

The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST

A. π r /2

B. π r /6

C. π r /12

D. π r /3

32 / 40

32. In the diagram shown, XY = 8cm and OX = 5cm. Find Oz

A. 9cm

B. 3.4cm

C. 9.1cm

D. 3cm

33 / 40

33. 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.

A. N684.00

B. N720.00

C. N756.00

D. N828.00

34 / 40

34. Copy -

The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?

A. 16

B. 35/2

C. 64

D. 35/3

35 / 40

35.

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

A. 100o

B. 140o

C. 120o

D. 10o

36 / 40

36. Copy -

Three consecutive terms of a geometric progression are give as n - 2, n and n + 3. Find the common ratio

A. 3/2

B. 2/3

C. 1/2

D. 1/4

37 / 40

37. Find the distance between the points C(2, 2) and D(5, 6).

A. 13 units

B. 12 units

C. 5 units

D. 7 units

38 / 40

38.

The acres for rice, pineapple, cassava, cocoa and palm oil in a certain district are given respectively as 2, 5, 3, 11 and 9. What is the angle of the sector of cassava in a pie chart?

A. 36o

B. 60 o

C. 180 o

D. 108o

39 / 40

39.

A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m?

A. 23m

B. 22m

C. 25m

D. 20m

40 / 40

40. A sector of circle of radius 7.2cm which substends an angle of 300o at the centre is used to form a cone. What s the radius of the base of the cone?

A. 7cm

B. 6cm

C. 8cm

D. 9cm

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