Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

13th September 2026

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 6) with x(0) = 5. Work out x(1) to 3 decimal places.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 320.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 4b and vector RS = 2a + 8b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 24 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?

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