Daily Practice - Higher Plus

A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.

A histogram has four 20-wide classes from 0, with frequency densities 1, 3, 0.5, 2. Which class contains the median?

A block has mass 630 g (to the nearest 10 g) and volume 24 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 630 g (to the nearest 10 g) and volume 24 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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 √x. When x = 4, y = 14. Work out y when x = 16.y is directly proportional to sqrt(x). When x = 4, y = 14. Work out y when x = 16.