Daily Practice - Higher Plus

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

A triangle has sides 11 cm, 10 cm and 12 cm. Work out the angle opposite the 11 cm side, to 1 decimal place.

A bag holds 3 red and n blue counters. The probability of taking a red is 1/2. Work out n.

On a histogram the bar for 40 < x ≤ 60 has a frequency density of 0.4. How many values are in that class?On a histogram the bar for 40 < x <= 60 has a frequency density of 0.4. How many values are in that class?

A block has mass 510 g (to the nearest 10 g) and volume 8 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 510 g (to the nearest 10 g) and volume 8 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.