Given log 2 = 0.69, log3 = 1, 10 and log7 = 1.90, all to a fixed base, find log 10.5 to the same base without using tables.

Evaluate \((2^{0} + 4^{-\frac{1}{2}})^{2}\)

Rationalize the denominator of the given expression \(\frac{\sqrt{1 + a} - \sqrt{a}}{1 + a + \sqrt{a}}\)

Find, correct to three significant figures, the value of \(\sqrt{41830}\).

Which of the following is NOT a factor of 12\(^{4}\) - 5\(^{4}\)?

Write down the number 0.0052048 correct to three significant figures

List all integer values of x satisfying the inequality -1 < 2x - 5 \(\leq\) 5

When a dealer sells a bicycle for N81 he makes a profit of 80%. What did he pay for the bicycle?

The median of the set of numbers 4, 9, 4, 13, 7, 14, 10, 17 is