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.

3,606.

No. of Days 1 2 3 4 5 6
No. of students 20 2x 60 40 x 50


The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for at least four days in the term?

A.

180

B.

120

C.

110

D.

40

Correct answer is B

20 + 2x + 60 + 40 + x + 50 = 260
170 + 3x = 260
3x = 260 - 170
3x = 90
x = 90/3 = 30
At least 4 days
4 days = 40
5 days = 30
6 days = 50
Total = 120

3,607.

Evaluate ∫sec\(^2\)θ dθ?

A.

sec θ tan θ + k

B.

tan θ + k

C.

2sec θ + k

D.

sec θ + k

Correct answer is B

∫sec2θ dθ = ∫ 1/cos2 dθ
∫(cos)-2 dθ,
let u = cos θ
∴∫u-2 = 1/u + c
∫cos θ = sin θ + c
∫sec-2θ = 1/u sin θ + c
= (sinθ / cosθ) + c
= Tan θ + c

3,608.

The distance traveled by a particle from a fixed point is given as s = (t\(^3\) - t\(^2\) - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point?

A.

2.3 cm

B.

4.0 cm

C.

5.2 cm

D.

6.0 cm

Correct answer is B

S = t\(^3\) - t\(^2\) - t + 5
ds/dt = 3t\(^2\) - 2t - 1
As ds = 0
3t\(^2\) - 2t - 1 = 0
(3t+1)(t-1) = 0
∴ t = 1 or -1/3
At min pt t = 1
S = t\(^3\) - t\(^2\) - t + 5

put t = 1
= 1\(^3\) - \1(^2\) - 1 + 5
= 1 - 1 - 1 + 5

= 4

3,609.

If s = (2 + 3t)(5t - 4), find ds/dt when t = 4/5 secs

A.

0 units per sec

B.

15 units per sec

C.

22 unit per sec

D.

26 units per sec

Correct answer is C

x = (2+3t)(5t-4)
Let u = 2+3t ∴du/dt = 3
and v = 5t-4 ∴dv/dt = 5
dx/dt = Vdu/dt + Udv/dt
= (5t-4)3 + (2+3t)5
= 15t - 12 + 10 + 15t
= 30t - 2
= 30x4/5 - 2
= 24 - 2
= 22

3,610.

A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60º, find the width of the river?

A.

100m

B.

75√3 m

C.

100√3m

D.

200√3m

Correct answer is C

Tan 60 = 300
x

 

x = 300
Tan 60

 

 

x = 300
√3


x = (300/√3) x (√3/√3)

 

 

x = 300√3
.....3

 


x = 100√3