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

On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

Rationalise the denominator of 6/√2, giving your answer in its simplest form.Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.

The point (5, 1) lies on y = f(x). Write down its image on y = f(x + 6).