Mathematics Past Questions and Answers

Make q the subject of the formula in the equation \(\frac{mn}{a^2} - \frac{pq}{b^2} = 1\)

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

A binary operation \(\otimes\) is defined by \(m \otimes n = mn + m - n\) on the set of real numbers, for all m, n \(\in\) R. Find the value of 3 \(\otimes\) (2 \(\otimes\) 4).

[table][tbody][tr][td]Age in years [/td][td]7 [/td][td]8 [/td][td]9 [/td][td]10 [/td][td]11 [/td][/tr][tr][td]No of pupils [/td][td]4 [/td][td]13 [/td][td]30 [/td][td]44 [/td][td]9 [/td][/tr][/tbody][/table] The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is

In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?