# Mathematics 2017 Past Questions | WAEC

Study the following Mathematics past questions and answers for JAMBWAEC  NECO and Post-JAMB. Get prepared with official past questions and answers for upcoming examinations.

21.  Given that cos 30$$^o$$ = sin 60$$^o$$ = $$\frac{3}{2}$$ and sin 30$$^o$$ = cos 60$$^o$$ = $$\frac{1}{2}$$, evaluate $$\frac{tan 60^o – q}{1 – tan 30^o}$$

• A. $$\sqrt{3 – 2}$$
• B. 2 – $$\sqrt{3}$$
• C. $$\sqrt{3}$$
• D. -2

22. The average age of a group of 25 girls is 10year. If one girl, aged 12 years and 4 months joins the group, find the new average age of the group

• A. 10.1 years
• B. 9.3 years
• C. 8.7 years
• D. 8 . 3 years

23. In what number base was the addition 1 + nn = 100, where n > 0, done?

• A. n – 1
• A. n + 2
• B. n + 1
• C. n

24. Simplify; $$\sqrt{2}(\sqrt{6} + 2\sqrt{2}) – 2\sqrt{3}$$

• A. 4
• B. $$\sqrt{3} + 4$$
• C. 4 $$\sqrt{2}$$
• D. 4$$\sqrt{3} + 4$$

25. Three exterior angles of a polygon are 30º, 40º and 60º. If the remaining exterior angles are 46º each, name the polygon.

• A. decagon
• B. nonagon
• C. octagon
• D. hexagon

26.  Simplify the expression $$\frac{a^2 b^4 – b^2 a^4}{ab(a + b)}$$

• A. $$a^2 – b^2$$
• B. $$b^2 – a^2$$
• C. $$a^2b – ab^2$$
• D. $$ab^2 – a^2b$$

27.  Find the 6th term of the sequence $$\frac{2}{3} \frac{7}{15} \frac{4}{15}$$,…

• A.-$$\frac{1}{3}$$
• B.-$$\frac{1}{5}$$
• C. -$$\frac{1}{15}$$
• D. $$\frac{1}{9}$$

28.  The roots of a quadratic equation are $$\frac{-1}{2}$$ and $$\frac{2}{3}$$. Find the equation.

• A. $$6x^2 – x + 2 = 0$$
• B. $$6x^2 – x – 2 = 0$$
• C. $$6x^2 + x – 2 = 0$$
• D. $$6x^2 + x + 2 = 0$$

29.   Make x the subject of the relation d = $$\sqrt{\frac{6}{x} – \frac{y}{2}}$$

• A. x = $$\frac{6 + 12}{d^2 + y}$$
• B. x = $$\frac{12}{d^2 – y}$$
• C. x = $$\frac{12}{y} – 2d^2$$
• D. x = $$\frac{12}{2d^2 – y}$$

30. Consider the statements: p it is hot, q: it is raining

Which of the following symbols correctly represents the statement “It is raining if and only if it it is cold”?

• A. p $\phantom{\rule{thickmathspace}{0ex}}⟺\phantom{\rule{thickmathspace}{0ex}}$ q
• B. p $\phantom{\rule{thickmathspace}{0ex}}⟺\phantom{\rule{thickmathspace}{0ex}}$ q
• C. $\phantom{\rule{thickmathspace}{0ex}}⟺\phantom{\rule{thickmathspace}{0ex}}$ q
• D. q $\phantom{\rule{thickmathspace}{0ex}}⟺\phantom{\rule{thickmathspace}{0ex}}$ p
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