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 12 cm, 12 cm and 13 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.

A bag holds 2 red and n blue counters. The probability of taking a red is 1/5. Work out n.

On a histogram the bar for 10 < x ≤ 20 has a frequency density of 3.5. How many values are in that class?On a histogram the bar for 10 < x <= 20 has a frequency density of 3.5. How many values are in that class?

A block has mass 860 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 860 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.