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2016 waec mathematics past questions and answers pdf

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Question 1 An object is 6m away from the base of a mast. The angle of depression of the object from the top of the mast is 50°, Find, correct to 2 decimal places, the height of the mast Options A) 8.60m B) 7.51m C) 7.15m D) 1.19m The correct answer is C. Explanation: tan 50° = h6 h = 6 tan 50° = 6 × 1.1917 = 7.1505 = 7.15 Question 2 The graph of the relation y = x2 + 2x + k passes through the point (2, 0). Find the values of k Options A) zero B) -2 C) -4 D) -8 The correct answer is D. Explanation: y = x2 + 2x + k at point(2,0) x = 2, y = 0 0 = (2)2 + 2(20 + k) 0=4+4+k 0=8+k k = -8 Question 3 If 23x = 325, find the value of x Options A) 7 B) 6 C) 5 D) 4 The correct answer is A. Explanation: 23x = 325 2 ×x1 + 3 × x0 = 3 × 51 + 2 × 50 = 2x + 3 = 15 + 2 2x + 3 = 17 2x = 17 - 3 2x = 14 14 x= 2 x=7 Question 4 The curved surface area of a cylinder 5cm high is 110cm2. Find the radius of its base π = 22 7 Options A) 2.6cm B) 3.5cm C) 3.6cm D) 7.0cm The correct answer is B. Explanation: Curved surface area of cylinder = 2πrh 110 = 2 × 22 ×r×5 7 r = 110×7 44×5 = 3.5cm Question 5 Make S the subject of the relation 2 p = s + sm nr Options nrp A) s = nr+m2 m2 B) s = nr + mrp nrp C) s = mr + m2 nrp D) s = nr + m2 The correct answer is D. Explanation: sm2 p = s + nr m2 p = s + ( 1 + nr ) nr+m2 p = s (1 + nr ) nr × p = s (nr + m2) nrp s = nr+m2 Question 6 Simplify:( 10√3 √5 − √15)2 Options A) 75.00 B) 15.00 C) 8.66 D) 3.87 The correct answ ...
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