Higher Plus

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

Simplify 8 + 2, giving your answer in the form a b.Simplify sqrt(8) + sqrt(2), giving your answer in the form a sqrt(b).

The curve y = sin x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 180.The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.

y is directly proportional to x². When x = 2, y = 12. Work out the positive value of x when y = 147.y is directly proportional to x^2. When x = 2, y = 12. Work out the positive value of x when y = 147.

The point (12, 16) lies on the circle x² + y² = 400. Work out the gradient of the tangent to the circle at that point.The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.