Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th July 2026
- 1Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.
- 2Histograms3 marks
On a histogram the bar for 20 < x <= 30 has a frequency density of 2.4. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 24/sqrt(6), giving your answer in its simplest form.
- 4Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 3) with x(0) = 2. Work out x(1) to 3 decimal places.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.
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