Mathematics Past Questions and Answers

What is the area between two concentric circles of diameters 26cm and 20cm?

A 100\(\pi\)
B 169\(\pi\)
C 69\(\pi\)
D 9\(\pi\)
E 269\(\pi\)

Question 12:

Marks scored by some children in an arithmetic test are:5, 3, 6, 9, 4, 7, 8, 6, 2, 7, 8, 4, 5, 2, 1, 0, 6, 9, 0, 8.
The arithmetic mean of the marks is

A 6
B 5
C 8
D 7
E 10

Question 13:

The weights of 30 new-born babies are given as follow: 6, 9, 5, 7, 6, 7, 5, 8, 9, 5, 7, 5, 8, 7, 8, 7, 5, 6, 5, 7, 6, 9, 9, 7, 8, 8, 7, 8, 9, 8. The mode is

A 6
B 5
C 8
D 7
E 10

Question 14:

If \(\sin x° = \frac{a}{b}\), what is \(\sin (90 - x)°\)?

A \(\frac{\sqrt{b^2 - a^2}}{b}\)
B 1\(\frac{-a}{b}\)
C \(\frac{b^2 - a^2}{b}\)
D \(\frac{a^2 - b^2}{b}\)
E \(\sqrt{b^2 - a^3}\)

Question 15:

7 pupils of average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age 11years join the class, what is the average age of the pupils now in the class?

A 13years
B 12 years 7\(\frac{1}{2}\) months
C 13 years 5 months
D 13 years 10 months
E 11 years