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 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 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

Simplify √45 + √80, giving your answer in the form a √b.Simplify sqrt(45) + sqrt(80), giving your answer in the form a sqrt(b).

Solve x² - x - 2 > 0.Solve x^2 - x - 2 > 0.