Higher Plus

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.

A bag holds 7 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

A histogram has two bars: one 20 units wide with frequency density 2.5, one 20 units wide with density 3. How many values in total?

A rectangle is 25 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.

The curve y = sin x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 90.The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.