Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?

Expand and simplify (6 + √7)(6 - √7).Expand and simplify (6 + sqrt(7))(6 - sqrt(7)).

The curve y = sin x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 180.The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.

y is directly proportional to x². When x = 4, y = 32. Work out the positive value of x when y = 72.y is directly proportional to x^2. When x = 4, y = 32. Work out the positive value of x when y = 72.

The point (5, 12) lies on the circle x² + y² = 169. Work out the gradient of the tangent to the circle at that point.The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.