21 - 30 of 50 Questions
# | Question | Ans |
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21. |
Simplify \(\frac{0.026 \times 0.36}{0.69}\). Leave your answer in standard form A. 1.36 x 10-4 B. 1.36 x 10-3 C. 1.36 x 10-1 D. 1.36 x 10-2 |
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22. |
A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out? A. 15 B. 25 C. 30 D. 50 |
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23. |
Calculate the perimeter of a sector of a circle of raduis 9cm and angle 36o. A. 18cm B. (18 + \(\frac{9\pi}{5}\))cm C. (9 + \(\frac{9\pi}{5}\))cm D. \(\frac{9\pi}{5}\)cm |
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24. |
Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\) A. \(\frac{23}{5}\) B. -\(\frac{23}{5}\) C. -\(\frac{1}{8}\) D. \(\frac{21}{7}\) Detailed Solution\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\) = \(\frac{3\sqrt{27} - 3\sqrt{8}^2}{\sqrt{16} \times 2}\) \(\frac{3 - 4}{4 \times 2}\) = \(\frac{-1}{8}\) There is an explanation video available below. |
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25. |
\(\begin{array}{c|c} A. 3 B. 5 C. 4 D. 6 |
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26. |
Find \(\frac{dy}{dx}\), if y = \(\frac{2}{3}\) x\(^3\) - \(\frac{4}{x}\) A. 3x2 - \(\frac{4}{x}\) B. 2x2 +\(\frac{4}{x^2}\) C. 3x2 + \(\frac{4}{x^2}\) D. 2x2 - \(\frac{4}{x}\) Detailed Solutiony = \(\frac{2}{3}\)x\(^3\) - \(\frac{4}{x}\)\(\frac{dy}{dx}\) = 2x\(^2\) - (-4)x\(^{-2}\) = 2x\(^2\) + \(\frac{4}{x^2}\) There is an explanation video available below. |
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27. |
Evaluate \(\frac{0.8 \times 0.43 \times 0.031}{0.05 \times 0.72 \times 0.021}\). Correct to four significant figures. A. 14.09 B. 14.1 C. 14.12 D. 14.11 |
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28. |
An arc subtends an angle of 30o at the centre of a circle radius 12cm. Calculate the length of the arc. A. 6\(\pi\)cm B. 2\(\pi\)cm C. 3\(\pi\)cm D. 9\(\pi\)cm |
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29. |
Evaluate \(\int\limits_0^\frac{\pi}{2}\) sin xdx A. 2 B. -1 C. 1 D. -2 |
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30. |
An arc of the length 16\(\pi\)cm subtends an angle of 80o at the centre of the circle. Find the radius of the circle. A. 24cm B. 28cm C. 36cm D. 32cm |
21. |
Simplify \(\frac{0.026 \times 0.36}{0.69}\). Leave your answer in standard form A. 1.36 x 10-4 B. 1.36 x 10-3 C. 1.36 x 10-1 D. 1.36 x 10-2 |
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22. |
A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out? A. 15 B. 25 C. 30 D. 50 |
|
23. |
Calculate the perimeter of a sector of a circle of raduis 9cm and angle 36o. A. 18cm B. (18 + \(\frac{9\pi}{5}\))cm C. (9 + \(\frac{9\pi}{5}\))cm D. \(\frac{9\pi}{5}\)cm |
|
24. |
Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\) A. \(\frac{23}{5}\) B. -\(\frac{23}{5}\) C. -\(\frac{1}{8}\) D. \(\frac{21}{7}\) Detailed Solution\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\) = \(\frac{3\sqrt{27} - 3\sqrt{8}^2}{\sqrt{16} \times 2}\) \(\frac{3 - 4}{4 \times 2}\) = \(\frac{-1}{8}\) There is an explanation video available below. |
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25. |
\(\begin{array}{c|c} A. 3 B. 5 C. 4 D. 6 |
26. |
Find \(\frac{dy}{dx}\), if y = \(\frac{2}{3}\) x\(^3\) - \(\frac{4}{x}\) A. 3x2 - \(\frac{4}{x}\) B. 2x2 +\(\frac{4}{x^2}\) C. 3x2 + \(\frac{4}{x^2}\) D. 2x2 - \(\frac{4}{x}\) Detailed Solutiony = \(\frac{2}{3}\)x\(^3\) - \(\frac{4}{x}\)\(\frac{dy}{dx}\) = 2x\(^2\) - (-4)x\(^{-2}\) = 2x\(^2\) + \(\frac{4}{x^2}\) There is an explanation video available below. |
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27. |
Evaluate \(\frac{0.8 \times 0.43 \times 0.031}{0.05 \times 0.72 \times 0.021}\). Correct to four significant figures. A. 14.09 B. 14.1 C. 14.12 D. 14.11 |
|
28. |
An arc subtends an angle of 30o at the centre of a circle radius 12cm. Calculate the length of the arc. A. 6\(\pi\)cm B. 2\(\pi\)cm C. 3\(\pi\)cm D. 9\(\pi\)cm |
|
29. |
Evaluate \(\int\limits_0^\frac{\pi}{2}\) sin xdx A. 2 B. -1 C. 1 D. -2 |
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30. |
An arc of the length 16\(\pi\)cm subtends an angle of 80o at the centre of the circle. Find the radius of the circle. A. 24cm B. 28cm C. 36cm D. 32cm |