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.

3,416.

The first term a of an A.P is equal to twice the common difference d. Find, in terms of d, the 5th term of the A.P.

A.

4d

B.

5d

C.

6d

D.

a + 5d

E.

2a + 4d

Correct answer is C

Tn = a + (n - 1)d; AP; a = 2d; Tn = 2d + (n - 1)d

T5 = 2d + (5 - 1)d = 2d + 4d = 6d

3,417.

Find the coordinates of point B

A.

(0,11/2)

B.

(O,2)

C.

(2,0)

D.

(11/2, 2)

E.

(11/2, 0)

Correct answer is E

B occurs at the point y = 0. 

When y = 0, we have

4x + 3(0) = 6

4x = 6

x = 1\(\frac{1}{2}\)

B = \((1\frac{1}{2}, 0)\)

3,418.

The shaded portion shows the outer boundary of the half plane defined by the inequality

A.

4x + 3y \(\geq\) 6

B.

4x + 3y = 6

C.

4x + 3y < 6

D.

3y >6

E.

4x < 6

Correct answer is A

The region is denoted by 4x + 3y \(\geq\) 6

3,419.

Find the perimeter of the region

A.

22cm

B.

33cm

C.

40cm

D.

47cm

E.

66cm

Correct answer is C

P = \(\pi\)r + \(\pi\)r + R = \(\frac{22}{7}\) x 7 + \(\frac{22}{7}\) x \(\frac{7}{2}\) + 7

P = 22 + 11 + 7 = 40cm

3,420.

Find the area of the enclosed region, PXROY correct to the nearest whole number

A.

96cm2

B.

116cm2

C.

154cm2

D.

192cm2

E.

385cm2

Correct answer is A

Area of the bigger semi circle P x RO =

πr2/2
=
22/7
x
49/2
= 77cm2

2nd Area of the smaller circle DYO =
22/7
x
3.52/2
= 19.25

Total Area = 77 + 19.25 = 96.25 = 96.00