WAEC Mathematics Past Questions & Answers - Page 311

1,551.

The common ratio of a G.P. is 2. If the 5th term is greater than the 1st term by 45, find the 5th term,

A.

3

B.

6

C.

45

D.

48

E.

90

Correct answer is D

a = 1st term ; ar4 = 5th term
∴ ar4 = a(2)4 = 16a; 16a = 45 + a, a = 3;
3(2)4 = 48

1,552.

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

1,553.

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

1,554.

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

1,555.

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