Daily Practice - Higher Plus

The point (6, 8) lies on the circle x² + y² = 100. Work out the gradient of the tangent to the circle at that point.The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.

A bag holds 5 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

Rationalise the denominator of 10/√2, giving your answer in its simplest form.Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.

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.