Daily Practice - Higher Plus

Rationalise the denominator of 55/√5, giving your answer in its simplest form.Rationalise the denominator of 55/sqrt(5), giving your answer in its simplest form.

Use the iteration x(n+1) = cube root of (6x(n) + 3) with x(0) = 1. Work out x(1) to 3 decimal places.

y is directly proportional to x³. When x = 4, y = 256. Work out y when x = 2.y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.

A triangle has sides of 15 cm and 11 cm and an area of 71.45 cm². Work out the acute angle between those two sides, to the nearest degree.A triangle has sides of 15 cm and 11 cm and an area of 71.45 cm^2. Work out the acute angle between those two sides, to the nearest degree.

A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.