Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 0.4, one 10 units wide with density 0.8. How many values in total?

Rationalise the denominator of 6/√3, giving your answer in its simplest form.Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.

Write 4/(x - 6) + 3/(x + 6) as a single fraction.

y is directly proportional to x². When x = 2, y = 32. Work out the positive value of x when y = 128.y is directly proportional to x^2. When x = 2, y = 32. Work out the positive value of x when y = 128.

In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.