Daily Practice - Higher Plus

Rationalise the denominator of 22/√11, giving your answer in its simplest form.Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.

The curve y = sin x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 90.The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.

y is directly proportional to x³. When x = 4, y = 320. Work out y when x = 5.y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.

A triangle has sides of 11 cm and 16 cm with an angle of 33° between them. Work out the third side, to 1 decimal place.

A bag holds 6 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?