Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.5, one 20 units wide with density 3. How many values in total?

x = 42 and y = 9, each correct to the nearest whole number. Work out the upper bound of x - y.

Solve x² + y² = 169 and y = x + 7 simultaneously.Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.

y is directly proportional to x². When x = 4, y = 96. Work out the positive value of x when y = 384.y is directly proportional to x^2. When x = 4, y = 96. Work out the positive value of x when y = 384.

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.