Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd August 2026
- 1Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 1, 2. Which class contains the median?
- 3Bounds3 marks
x = 32 and y = 20, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 21. Work out y when x = 25.
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