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Mathematics Past Questions


Question 211:


If \(f(x) = 3x^3 + 4x^2 + x - 8\), what is the value of f(-2)?

A. -24
B. 30
C. -18
D. -50


Question 212:


Tade bought 200 mangoes at 4 for #2.50. 30 out of the mangoes got spoilt and the remaining were sold at 2 for #2.40. Find the percentage profit or loss.

A. 43.6% loss
B. 35% profit
C. 63.2% profit
D. 28% loss


Question 213:


In the diagram above, O is the centre of the circle ABC, < ABO = 26° and < BOC = 130°. Calculate < AOC.

A. 26°
B. 13°
C. 80°
D. 102°


Question 214:


If the volume of a frustrum is given as \(V = \frac{\pi h}{3} (R^2 + Rr + r^2)\), find \(\frac{\mathrm d V}{\mathrm d R}\).

A. \(\frac{\pi h}{3} (2R + r)\)
B. \(2R + r + \frac{\pi h}{3}\)
C. \(\frac{\pi h}{3} (2R^2 + r + 2r)\)
D. \(\frac{2R^2}{3} \pi h\)


Question 215:


If \(25^{1 - x} \times 5^{x + 2} \div (\frac{1}{125})^{x} = 625^{-1}\), find the value of x.

A. X = -4
B. X = 2
C. X = -2
D. X = 4






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