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WAEC Mathematics Past Questions & Answers - Page 217

1,081.

Given that y = px + q and y = 5 when x = 3, while y = 4 when x = 2, find the value of p and q.

A.

p = 1, q = 3

B.

p = 1, q = 2

C.

p = -2, q = 3

D.

p = 3, q = -2

Correct answer is B

y = px + q

5 = 3p + q ... (i)

4 = 2p + q ... (ii)

(i) - (ii) : p = 1

∴∴ 5 = 3(1) + q 

⟹⟹ q = 5 - 3 = 2

(p, q) = (1, 2)

1,082.

A man is four times as old as his son. The difference between their ages is 36 years Find the sum of their ages

A.

45 years

B.

48 years

C.

60 years

D.

74 years

Correct answer is C

Let the sons age be x. The father is 4x ∴ 4x - x = 36; 3x = 36; x = 12 The son is 12 years and the father is 12 x 4 = 48. The sum of their ages (12 + 48) years = 60years

1,083.

Evaluate 12+34of25÷135

A.

1516

B.

1116

C.

4950

D.

315

Correct answer is B

12+(34 of 25)÷135

= 12+(34×25)÷85

= 12+310÷85

= 12+(310×58)

= 12+316

= 1116

1,084.

The nth term of a sequence is 22n1. Which term of the sequence is 29?

A.

3rd

B.

4th

C.

5th

D.

6th

Correct answer is C

Tn=22n1

22n1=29

2n1=92n=9+1

2n=10n=5

The 5th term = 29

1,085.

Evaluate 525×(23)2÷(112)1

A.

825

B.

1225

C.

335

D.

418

Correct answer is C

525×(23)2÷(112)1275×49×32=335