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Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

2,291.

x2468f4y65
If the mean of the above frequency distribution is 5.2, find y

A.

2, 1

B.

1, 2

C.

1, 5

D.

5, 2

Correct answer is C

Mean ˉx = fxf

= 5.21

= 8+4y+36+404+y+6+5

= 5.21

= 84+4y15+y

= 5.2(15 + y)

= 84 + 4y

= 5.2 x 15 + 5.2y

= 84 + 4y

= 78 + 5.2y

= 84 = 4y

= 5.2y - 4y

= 84 - 78

1.2y = 6

y = 61.2

= 6012

= 5

2,293.

Evaluate the integral π4π122cos2xdx

A.

-12

B.

-1

C.

12

D.

1

Correct answer is C

π4π122cos2xdx

= [2sin2x2]|π4π12

= sin2x|π4π12

= sin2(π4)sin2(π12)

= sinπ2sinπ6

= 112=12

2,294.

A student blows a balloon and its volume increases at a rate of π(20 - t2)cm3S-1 after t seconds. If the initial volume is 0 cm3, find the volume of the balloon after 2 seconds

A.

37.00π

B.

37.33π

C.

40.00π

D.

42.67π

Correct answer is B

dvdt = π(20 - t2)cm2S-1

dv = π(20 - t2)dt

V = π (20 - t2)dt

V = π(20 t3 - t3) + c

when c = 0, V = (20t - t33)

after t = 2 seconds

V = π(40 - 83

= π12083

= 1123

= 37.33π

2,295.

Obtain a maximum value of the function f(x) x3 - 12x + 11

A.

-5

B.

-2

C.

2

D.

27

Correct answer is D

f(x) = x3 - 12x + 11

df(x)dx) = 3x2 - 12 = 0

∴ 3x2 - 12 = 0 x2m = 4

x = ±2, f(+2) = 8 - 24 + 11 = -15

= f(-2) = (-8) + 24 + 11

= 35 - 8 = 27

∴ maximum value = 27