Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 3.5. How many values in total?

Rationalise the denominator of 15/√3, giving your answer in its simplest form.Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.

Solve 8x² + 2x - 15 = 0.Solve 8x^2 + 2x - 15 = 0.

y is directly proportional to x². When x = 5, y = 100. Work out the positive value of x when y = 196.y is directly proportional to x^2. When x = 5, y = 100. Work out the positive value of x when y = 196.

In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.