Daily Practice - Higher Plus

y is directly proportional to x³. When x = 4, y = 128. Work out y when x = 5.y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.

A triangle has sides 14 cm, 9 cm and 12 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.

A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. Work out n.

On a histogram the bar for 60 < x ≤ 65 has a frequency density of 2.4. How many values are in that class?On a histogram the bar for 60 < x <= 65 has a frequency density of 2.4. How many values are in that class?

A block has mass 360 g (to the nearest 10 g) and volume 20 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 360 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.