Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 3.5. How many values in total?

Expand and simplify (8 + √2)(8 - √2).Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).

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 = 6, y = 144. Work out the positive value of x when y = 144.y is directly proportional to x^2. When x = 6, y = 144. Work out the positive value of x when y = 144.

In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.