Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 0.6. How many values in total?

Simplify √32 + √98, giving your answer in the form a √b.Simplify sqrt(32) + sqrt(98), giving your answer in the form a sqrt(b).

The curve y = sin x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 90.The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.

y is directly proportional to x². When x = 3, y = 18. Work out the positive value of x when y = 162.y is directly proportional to x^2. When x = 3, y = 18. Work out the positive value of x when y = 162.

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.