Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 0.6. How many values in total?

A rectangle is 8 cm by 6 cm, each correct to the nearest cm. Work out the upper bound of its area.

Solve x² + y² = 289 and y = x + 7 simultaneously.Solve x^2 + y^2 = 289 and y = x + 7 simultaneously.

y is directly proportional to x². When x = 4, y = 80. Work out the positive value of x when y = 405.y is directly proportional to x^2. When x = 4, y = 80. Work out the positive value of x when y = 405.

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.