Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th August 2025
- 1Inverse and Composite Functions3 marks
f(x) = 2x - 6 and g(x) = 5x + 3. Work out fg(0).
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 80. Work out the positive value of x when y = 125.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 3 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/10. Work out n.
- 5Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 3. How many values in total?
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