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 3 red, 7 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 3.5. How many values in total?

Expand and simplify (5 + 10)(5 - 10).Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).

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.