Higher Plus

A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 0.8. How many values in total?

Expand and simplify (4 + 11)(4 - 11).Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).

The curve y = sin x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 270.The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.

y is directly proportional to x². When x = 4, y = 32. Work out the positive value of x when y = 72.y is directly proportional to x^2. When x = 4, y = 32. Work out the positive value of x when y = 72.

The point (5, 12) lies on the circle x² + y² = 169. Work out the gradient of the tangent to the circle at that point.The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.