Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 3.5. How many values in total?

Expand and simplify (6 + √5)(6 - √5).Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).

Use the iteration x(n+1) = cube root of (8x(n) + 4) with x(0) = 3. Work out x(1) to 3 decimal places.

y is directly proportional to x². When x = 5, y = 75. Work out the positive value of x when y = 75.y is directly proportional to x^2. When x = 5, y = 75. Work out the positive value of x when y = 75.

A cuboid measures 9 cm by 4 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.