Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 3. How many values in total?

x = 35 and y = 7, each correct to the nearest whole number. Work out the upper bound of x - y.

Make x the subject of 2x + 6 = y(x + 6).

y is directly proportional to x². When x = 3, y = 72. Work out the positive value of x when y = 32.y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 32.

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.