Daily Practice - Higher Plus

A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/22. Work out r.

On a histogram the bar for 40 < x ≤ 50 has a frequency density of 1.2. How many values are in that class?On a histogram the bar for 40 < x <= 50 has a frequency density of 1.2. How many values are in that class?

A block has mass 450 g (to the nearest 10 g) and volume 6 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 450 g (to the nearest 10 g) and volume 6 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 x³. When x = 4, y = 192. Work out y when x = 5.y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.