In the diagram above, O is the center of the circle QRT and PT is a tangent to the circle at T. Calculate the angle x

Instead of recording the number 1.23cm of the radius of a tube, a student recorded 1.32cm. Find the percentage of error, correct to one decimal place.

Factorize 35 - 2b - b2

The angle of elevation of X from Y is 30o. If XY = 40m, how high is X above the level of Y?

If 3loga + 5loga - 6loga = log64, what is a?

If the second and fourth term of a G.P are 8 and 32 respectively,what is the sum of the first four terms?

Factorize the following expression; 2x2 + x - 15

Evaluate, using logarithm tables \(\frac{5.34 \times 67.4}{2.7}\)

Evaluate \(\frac{0.009}{0.012}\), leaving your answer in standard form.