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 6 red, 4 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 5-wide bar and a 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

x = 139 and y = 94, each correct to the nearest whole number. Work out the upper bound of x - y.

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