Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th February 2026
- 1Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 2Histograms3 marks
On a histogram the bar for 30 < x <= 35 has a frequency density of 2.4. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 18/sqrt(2), giving your answer in its simplest form.
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 10, 21, 36. Work out the second difference, and the coefficient of n^2.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
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