Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th December 2025
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 5b and vector RS = 9a - 15b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 39 wins. How many games did they play?
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 20 units wide with density 3.5. How many values in total?
- 4Bounds3 marks
x = 166 and y = 14, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Algebraic Fractions3 marks
Simplify (x^2 + 5x - 24)/(x - 3).
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