Daily Practice - Higher Plus

y is directly proportional to x³. When x = 3, y = 108. Work out y when x = 2.y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.

A triangle has sides 10 cm, 6 cm and 7 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.

A bag holds 3 red and n blue counters. The probability of taking a red is 3/7. Work out n.

On a histogram the bar for 60 < x ≤ 70 has a frequency density of 1.2. How many values are in that class?On a histogram the bar for 60 < x <= 70 has a frequency density of 1.2. How many values are in that class?

A block has mass 650 g (to the nearest 10 g) and volume 15 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 650 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.