Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th December 2025
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of m and c.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 14 wins. How many games did they play?
- 4Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 3.5. How many values are in that class?
- 5Surds3 marks
Rationalise the denominator of 44/sqrt(11), giving your answer in its simplest form.
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