Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 0.6. How many values in total?

x = 154 and y = 142, each correct to the nearest whole number. Work out the upper bound of x - y.

Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.

y is directly proportional to x². When x = 4, y = 48. Work out the positive value of x when y = 243.y is directly proportional to x^2. When x = 4, y = 48. Work out the positive value of x when y = 243.

The point (3, 4) lies on the circle x² + y² = 25. Work out the gradient of the tangent to the circle at that point.The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.