(a) Use logarithm tables to evaluate \(\frac{15.05 \times \sqrt{0.00695}}{6.95 \times 10^{2}}\). (b) The first 5 students to arrive in a school on a Monday ...

(a) Using a ruler and a pair of compasses only, construst \(\Delta\) ABC in which |AB| = 7cm, |BC| = 5cm and < ABC = 75°. Measure |AC|. (b) In (a) above, loc...

(a) Copy and complete the binary multiplication table: x 10 11 100 101 10 100 1000 11 110 1100 100 10000 10100 (b) Convert \(11.011_{two}\) to a number in ba...

(a) Given that \(\sin x = \frac{5}{13}, 0° \leq x \leq 90°\), find \(\frac{\cos x - 2 \sin x }{2\tan x}\). (b) The diagram represents the vertical cross-sect...

(a) The 6th term of an A.P is 35 and the 13th term is 77. Find the 20th term. (b) The Venn diagram represents three subsets P, Q and R of the universal set U...

(a) Solve the simultaneous equation: \[ \log_{10} x + \log_{10} y = 4 \] \[ \log_{10} x + 2\log_{10} y = 3 \] (b) The time, \(t\), taken to buy fuel at a pet...

The solid is a cylinder surmounted by a hemispherical bowl. Calculate its (a) total surface area ; (b) volume (Take \(\pi = \frac{22}{7}\))

(a) Given that \(\frac{5y - x}{8y + 3x} = \frac{1}{5}\), find the value of \(\frac{x}{y}\) to two decimal places. (b) If 3 is a root of the quadratic equatio...

The table below shows how a company's sales manager spent his 1995 annual salary. Food 30% Rent 18% Car Maintenance 25% Savings 12% Taxes 5% Others 10% (a) R...