Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd April 2026
- 1Algebraic Fractions3 marks
Simplify (x^2 - 3x - 18)/(x - 6).
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 216. Work out the positive value of x when y = 150.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 15 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 5Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 10 units wide with density 3.5. How many values in total?
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