Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st April 2026

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

1
Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
2
Quadratic Inequalities3 marks
Solve x^2 - 9x + 18 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 9. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. N is the midpoint. Write vector ON in terms of c and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 126 wins. How many games did they play?

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