Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 3. How many values in total?

x = 124 and y = 26, each correct to the nearest whole number. Work out the upper bound of x - y.

A quadratic sequence starts 13, 23, 37, 55. Work out the second difference, and the coefficient of n².A quadratic sequence starts 13, 23, 37, 55. Work out the second difference, and the coefficient of n^2.

y is directly proportional to x². When x = 4, y = 32. Work out the positive value of x when y = 32.y is directly proportional to x^2. When x = 4, y = 32. Work out the positive value of x when y = 32.

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.