Q4 of 47 Page 1

A chord of a circle of radius 10 cm subtends a right angle at its centre. Calculate the length of the chord (in cm).

[By Pythagoras theorem]

AB² = AO² + OB²

⇒ AB² = 10² + 10²

⸫ AB = √200 = 10√2 cm

In a family of 3 children, calculate the probability of having at least one boy.

ABCD is a rectangle whose three vertices are B (4,0), C (4,3) and D (0,3). Calculate the length of one of its diagonals.

Find the values of p for which the quadratic equation 4x² + px + 3 = 0 has equal roots.

Find the number of natural numbers between 101 and 999 which are divisible by both 2 and 5.