Daily Practice - Higher Plus

A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 7/12. Work out r.

A histogram has four 10-wide classes from 0, with frequency densities 2, 1, 0.5, 3. Which class contains the median?

A block has mass 770 g (to the nearest 10 g) and volume 12 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 770 g (to the nearest 10 g) and volume 12 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 inversely proportional to x². When x = 5, y = 64. Work out y when x = 4.y is inversely proportional to x^2. When x = 5, y = 64. Work out y when x = 4.