2016 - JAMB Mathematics Past Questions and Answers - page 3

\(\frac{0.026 \times 0.36}{0.69}\) = \(\frac{26 \times 10^-3 \times 36 \times 10^-2}{69 \times 10^-2}\)

= 0.01356 = 1.36 x 10^-2

Let x represent total number of pencils shared
B : S : T
2 : 3 : 5

2+3+5 = 10
\(\frac{2}{10}\) x x = 5
\(\frac{2x}{10}\) = 5
2x = 50
x = 25

Perimeter = 2r + \(\frac{\theta}{360}\) x 2\(\pi\)r
2(9) + \(\frac{36}{360}\) x 2 x \(\pi\) x 9 = 18 + \(\frac{9\pi}{5}\)

\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)

\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\) = \(\frac{3\sqrt{27} - 3\sqrt{8}^2}{\sqrt{16} \times 2}\)

\(\frac{3 - 4}{4 \times 2}\)
= \(\frac{-1}{8}\)

Mean = \(\frac{(2 \times 3) + (3 \times 6) + (4 \times 5) + (2 \times 6)}{2 + 3 + 4 + 6}\)

= \(\frac{6 + 18 + 20 + 12}{15}\) = \(\frac{56}{15}\)

= 3.73

y = \(\frac{2}{3}\)x³ - \(\frac{4}{x}\)

\(\frac{dy}{dx}\) = 2x² - Lx^-2 = 2x² + \(\frac{4}{x^2}\)

\(\frac{0.8 \times 0.43 \times 0.031}{0.05 \times 0.72 \times 0.021}\) x \(\frac{10}{10}\) = 14.11

Length or arc = \(\frac{\theta}{360}\) x 2\(\pi\)r

= \(\frac{30}{360}\) x 2 x \(\frac{22}{7}\) x 12

= \(\frac{1}{12}\) x 2 x \(\pi\) x 2 = 2\(\pi\)cm

\(\int\limits_0^\frac{\pi}{2}\) sin xdx = -cosx|\(\frac{\pi}{2}\)

= -(cos\(\frac{\pi}{2}\) - cos0) = -(0-1) = 1

L = \(\frac{\theta}{360}\) x 2\(\pi\)r
16\(\pi\) = \(\frac{80}{360}\) x 2\(\pi\)r

\(\frac{16\pi \times 360}{80 \times 2\pi}\) = r

r = 36cm