Daily Practice - Higher Plus

y is directly proportional to x³. When x = 3, y = 81. Work out y when x = 2.y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 2.

OACB is a parallelogram with vector OA = b and vector OB = m. M is the midpoint. Write vector OM in terms of b and m.

The probability of winning a game is 7/8. A player expects 63 wins. How many games did they play?

On a histogram the bar for 40 < x ≤ 45 has a frequency density of 3.5. How many values are in that class?On a histogram the bar for 40 < x <= 45 has a frequency density of 3.5. How many values are in that class?

A block has mass 420 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 420 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.