Higher Plus

A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?

Rationalise the denominator of 42/6, giving your answer in its simplest form.Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.

Solve x² + y² = 225 and y = x + 3 simultaneously.Solve x^2 + y^2 = 225 and y = x + 3 simultaneously.

y is directly proportional to x². When x = 3, y = 54. Work out the positive value of x when y = 150.y is directly proportional to x^2. When x = 3, y = 54. Work out the positive value of x when y = 150.

A cuboid measures 8 cm by 8 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.