Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 0.6. How many values in total?

Expand and simplify (6 + √10)(6 - √10).Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).

Use the iteration x(n+1) = cube root of (9x(n) + 2) with x(0) = 5. Work out x(1) to 3 decimal places.

y is directly proportional to x². When x = 2, y = 20. Work out the positive value of x when y = 20.y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 20.

In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.