Mathematics (Core)
Paper 1 | Objectives | 48 Questions
WASSCE/WAEC MAY/JUNE
Year: 2013
Level: SHS
Time:
Type: Question Paper
Answers provided
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Paper 1 | Objectives | 48 Questions
WASSCE/WAEC MAY/JUNE
Year: 2013
Level: SHS
Time:
Type: Question Paper
Answers provided
No description provided
This paper is yet to be rated
Five revision strategies that are strange but effective for memorization for high exams performance
Tips to make the best study space and quality time for studies are essential.
Make sure you study hard but not into the late-night hours to give your body the enough rest you need.
| # | Question | Ans |
|---|---|---|
| 1. |
Multiply 2.7 x 10-4 by 6.3 x 106 and leave your answers in standard form A. 1.7 x 103 B. 1.70 x 103 C. 1.701 x 103 D. 17.01 x 103
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Detailed Solution2.7 x 10-4 x 6.3 x 106= 2.7 x 6.3 x 10-4 x 106 = 17.01 x 10-4 + 6 = 17.01 x 102 = 1.701 x 101 x 102 = 1.701 x 101 + 2 = 1.701 x 103 |
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| 2. |
If 9(2 - x) = 3, find x A. 1 B. \(\frac{3}{2}\) C. 2 D. \(\frac{5}{2}\)
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Detailed Solution9(2 - x) = 332(2 - x) = 3 2(2 - x) = 1 4 - 2x = 1 -2x = 1 - 4 -2x = -3 x = \(\frac{-3}{-2}\) x = \(\frac{3}{2}\) |
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| 3. |
In what number base is the addition 465 + 24 + 225 = 1050? A. ten B. nine C. eight D. seven |
D |
| 4. |
Simplify \(\frac{1\frac{7}{8} \times 2\frac{2}{5}}{6\frac{3}{4} \div \frac{3}{4}}\) A. 9 B. 4\(\frac{1}{2}\) C. 2 D. \(\frac{1}{2}\)
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Detailed Solution\(\frac{1\frac{7}{8} \times 2\frac{2}{5}}{6\frac{3}{4} \div \frac{3}{4}}\)from numerator \(1 \frac{7}{8} \times 2 \frac{2}{5}\) = \(\frac{15}{8} \times \frac{12}{5}\) = \(\frac{3 \times 3}{2 \times 1} = \frac{9}{2}\) from denominator \(6\frac{3}{4} \div \frac{3}{4}\) = \(\frac{27}{4} \div \frac{3}{4}\) = \(\frac{27}{4} \times \frac{4}{3}\) = \(\frac{9 \times 1}{1 \times 1} = \frac{9}{1}\) \(\frac{9}{2} \div \frac{9}{1} = \frac{9}{2} \times \frac{1}{9}\) = \(\frac{1}{2}\) |
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| 5. |
If Un = n(n2 + 1), evaluate U5 - U4 A. 18 B. 56 C. 62 D. 80
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Detailed SolutionUn = n(n2 + 1)U5 = 5(2 + 1) = 5(25 + 1) = 5(26) = 130 U4 = 4(42 + 1) = 4(16 + 1) = 4(17) = 68 U5 - U4 = 130 - 68 = 62 |
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| 6. |
If \(\sqrt{50} - K\sqrt{8} = \frac{2}{\sqrt{2}}\), find K A. -2 B. -1 C. 1 D. 2
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Detailed Solution\(\sqrt{50} - K\sqrt{8} = \frac{2}{\sqrt{2}}\)\(\sqrt{50} - \frac{2}{\sqrt{2}}\) = K\(\sqrt{8}\) = \(\sqrt{2} \times 25 - \frac{2}{\sqrt{2}}\) = K \(\sqrt{4 \times 2}\) \(\frac{5\sqrt{2}}{1} - \frac{2}{\sqrt{2}}\) = 2K\(\sqrt{2}\) \(\frac{5\sqrt{4} - 2}{\sqrt{2}} = 2K\sqrt{2}\) \(\frac{10 - 2}{\sqrt{2}} = 2K \sqrt{2}\) \(\frac{8}{\sqrt{2}} = \frac{2K\sqrt{2}}{1}\) = 2k\(\sqrt{2} \times \sqrt{2}\) = 8 2k \(\sqrt{4}\) = 8 2k x 2 = 8 4k = 8 k = \(\frac{8}{4}\) k = 2 < |
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| 7. |
A sales boy gave a change of N68 instead of N72. Calculate his percentage error A. 4% B. 5\(\frac{5}{9}\)% C. 5\(\frac{15}{17}\)% D. 7%
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Detailed Solution% error = \(\frac{error}{\text{actual value}} \times 100\)error = N72 - N68 = 4 actual value = N72 %error = \(\frac{4}{72} \times 100\) = \(\frac{100}{18} = \frac{50}{9}\) = 5\(\frac{5}{9}\)% |
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| 8. |
Four oranges sell for Nx and three mangoes sell for Ny. Olu bought 24 oranges and 12 mangoes. How much did he pay in terms of x and y? A. N94x + 6y) B. N(6x + 4y) C. N(24x + 12y) D. N(12x + 24y)
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Detailed Solution4 oranges sell for Nx, 1 orange will sell for \(\frac{Nx}{4}\)24 oranges will sell for: \(\frac{Nx}{4} \times 24\) = n6x 3 mangoes sell for Ny, 1 mango will sell for \(\frac{Ny}{3}\) 12 mangoes will sell for \(\frac{Ny}{3} \times 12\) = 4Ny total money pay N6x + N4y = N(6x + 4y) |
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| 9. |
Simplify: \(\frac{x^2 - y^2}{(x + y)^2} + \frac{(x - y)^2}{(3x + 3y)}\) A. \(\frac{x - y}{3}\) B. x + y C. \(\frac{3}{x - y}\) D. x - y
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Detailed Solution\(\frac{x^2 - y^2}{(x + y)^2} + \frac{(x - y)^2}{(3x + 3y)}\)\(\frac{(x + y)(x - y)}{(x + y)(x + y)} + \frac{(x - y)(x - y)}{3(x + y)}\) = \(\frac{3}{x - y}\) |
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| 10. |
Solve the inequality: \(\frac{2x - 5}{2} < (2 - x)\) A. x > 0 B. x < \(\frac{1}{4}\) C. x > 2\(\frac{1}{2}\) D. x < 2\(\frac{1}{4}\)
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Detailed Solution\(\frac{2x - 5}{2} < \frac{(2 - x)}{1}\)2x - 5 < 4 - 2x 2x + 2x < 4 + 5 4x < 9 x < \(\frac{9}{4}\) x < 2\(\frac{1}{4}\) |
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