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WAEC Mathematics Past Questions & Answers - Page 309

1,541.

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

1,542.

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 = 112

B = (112,0)

1,543.

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

A.

4x + 3y 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 6

1,544.

Find the perimeter of the region

A.

22cm

B.

33cm

C.

40cm

D.

47cm

E.

66cm

Correct answer is C

P = πr + πr + R = 227 x 7 + 227 x 72 + 7

P = 22 + 11 + 7 = 40cm

1,545.

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