Daily Practice - Higher Plus

The point (10, 24) lies on the circle x² + y² = 676. Work out the gradient of the tangent to the circle at that point.The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.

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

On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

Expand and simplify (2 + √2)(2 - √2).Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).

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.