Daily Practice - Higher Plus

The point (9, 40) lies on the circle x² + y² = 1681. Work out the gradient of the tangent to the circle at that point.The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.

A bag holds 4 red, 5 blue and 4 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 0.4, one 5 units wide with density 3. How many values in total?

Rationalise the denominator of 70/√7, giving your answer in its simplest form.Rationalise the denominator of 70/sqrt(7), giving your answer in its simplest form.

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