Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd October 2025

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(8) + sqrt(98), giving your answer in the form a sqrt(b).
2
Proof2 marks
In an algebraic proof, how would you write an even number in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 56. Work out y when x = 25.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of a and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 32 wins. How many games did they play?

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