Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th April 2021
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 6.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of b and q.
- 3Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 27 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?
- 5Bounds3 marks
A rectangle is 22 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
You are looking at an earlier sheet. Today's sheet is the one that adds a day.
Your run is kept in this browser only, and there is no account.
Recent Higher Plus sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of April 2021, including the monthly compilation PDF.