Master JAMB Maths with Our Comprehensive CBT Practice Test

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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. 2

B. 1

C. 3

D. 4

2 / 40

2.

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

A. 64

B. 35/3

C. 35/2

D. 16

3 / 40

3. 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

4 / 40

4. 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. 8cm

B. 7cm

C. 6cm

D. 9cm

5 / 40

5.

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. 20m

C. 25m

D. 22m

6 / 40

6. 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. 43cm

B. 15cm

C. 40cm

D. 52cm

7 / 40

7.

Integrate the expression 6x2 - 2x + 1

A. 2x 3 – 3x 2 + c

B. 3x 3 - 2x 2 + x + c

C. 2x 3 - x 2 + x + c

D. x 3 + x 2 – x + c

8 / 40

8.

The base in which the operation was performed was

 

A. 6

B. 5

C. 4

D. 2

9 / 40

9.

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

A. 6x + 8

B. 9x + 9

C. 5x - 3

D. 2x + 6

10 / 40

10.

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

A. 1/2

B. 3/2

C. 2/3

D. 1/4

11 / 40

11. 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. N3,100

C. N2600

D. N3,450

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12. 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. N828.00

D. N756.00

13 / 40

13.

The number line is represented by inequality.

A. x≤2

B. x≥2

C. x<2

D. x>2

14 / 40

14.

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. 60 o

B. 180 o

C. 36o

D. 108o

15 / 40

15.

Given sin⁡58°=cos⁡p°, find p.

A. 32 degree

B. 52 degree

C. 48 degree

D. 38 degree

16 / 40

16. Copy -

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

A. 64

B. 35/2

C. 16

D. 35/3

17 / 40

17.

0.00256×0.0064/0.025×0.08

 

A. 8.8 x 10 3

B. 8.8 x 10 − 2

C. 8.8 x 10 − 3

D. 8.8 x 10 − 1

18 / 40

18.

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. 8/15

B. 15/17

C. 12/17

D. 19/17

19 / 40

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

A. 10%

B. 6%

C. 12%

D. 8%

20 / 40

20. 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. 1, -2

B. 2, -2

C. 1, -1

D. 2, -1

21 / 40

21. 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. #4,000.00

D. #5,000.00

22 / 40

22.

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

A. 10

B. 30

C. 40

D. 15

23 / 40

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

A. 7 units

B. 13 units

C. 5 units

D. 12 units

24 / 40

24.

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

A. 0 < x < 6

B. 0 < x < 1/6

C. x > - 1/6

D. x > 0

25 / 40

25.

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

A. 140o

B. 10o

C. 120o

D. 100o

26 / 40

26.

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. N2,400.00

B. N3,600.00

C. N1,080.00

D. N3,000.00

27 / 40

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

A. 3.4cm

B. 9.1cm

C. 9cm

D. 3cm

28 / 40

28.

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

A. xy = 7

B. 7x + 5y = 70

C. 5x + 7y = 20

D. 15x + 17y = 90

29 / 40

29.

Evaluate log2 8 – log3 19

A. 1

B. -1

C. 5

D. -1 1 /5

30 / 40

30. Copy -

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

A. 1/4

B. 3/2

C. 2/3

D. 1/2

31 / 40

31. Factorize 4a2 - 9b2

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

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

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

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

32 / 40

32. 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, -2

B. 1, -1

C. 2, -1

D. 1, -2

33 / 40

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

A. 48

B. 30

C. 60

D. 20

34 / 40

34.

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

A. π r /3

B. π r /2

C. π r /12

D. π r /6

35 / 40

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

A. 232

B. 32

C. -232

D. 223

36 / 40

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

A. 11x 2 + 6x - 7

B. 48x - 6

C. 32x + 7

D. 24x 2 - 6x + 7

37 / 40

37.

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 = 20 and q = 20

C. p = 14 and q = 14

D. p = 14 and q = 20

38 / 40

38.

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

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

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

C. 2 cosec x - x cot x

D. 2x cosec x + tan x

39 / 40

39.

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

40 / 40

40.

In how many ways can the letters LEADER be arranged?

A. 74

B. 720

C. 144

D. 360

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