WAEC Mathematics Past Questions & Answers - Page 322

1,606.

Find the sum of the first five terms of the G.P 2,6, 18 ....

A.

484

B.

243

C.

242

D.

130

E.

121

Correct answer is C

\(S_{n} = \frac{a(r^n - 1)}{r - 1}\)

a = 2; r = 6/2 = 3.

\(S_{5} = \frac{2(3^5 - 1)}{3 - 1}\)

= \(243 - 1 = 242\)

1,607.

An arc of length 22cm subtends an angle of θ at the center of the circle. What is the value of θ if the radius of the circle is 15cm?[Take π = 22/7]

A.

70o

B.

84o

C.

96o

D.

156o

E.

168o

Correct answer is B

\(2\pi r = 2 \times 3.142 \times 15 = 94.28cm\)

\(94.28cm = 360°\)

\(1cm = \frac{360°}{94.28}\)

\(\therefore 22cm = \frac{360°}{94.28} \times 22\)

= 84°

1,608.

Find the values of x for which y = 5

A.

-2.5, 2.0

B.

-2.6, 2.1

C.

-2.0, 1.5

D.

-2.0, 2.0

E.

0, 0

Correct answer is B

No explanation has been provided for this answer.

1,609.

From the graph determine the roots of the equation y = 2x2 + x - 6

A.

-3, 4

B.

-2, -6

C.

-2, 1.5

D.

-1, 1

E.

2, 1.5

Correct answer is C

No explanation has been provided for this answer.

1,610.

Find the 4th term of an A.P, whose first term is 2 and the common difference is 0.5

A.

0.5

B.

2.5

C.

3.5

D.

4

E.

4.5

Correct answer is C

\(U_{n} = a + (n - 1)d\)

\(U_{4} = 2 + (4 - 1) \times 0.5\)

= \(2 + 1.5\)

= 3.5