Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st May 2026

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

1
Surds3 marks
Simplify sqrt(75) + sqrt(147), giving your answer in the form a sqrt(b).
2
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 3 = y(x + 3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. N is the midpoint. Write vector ON in terms of a and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 35 wins. How many games did they play?

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