Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

25th June 2025

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

1
Bounds3 marks
A rectangle is 23 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Completing the Square3 marks
Write x^2 + 8x + 7 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 36.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of c and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 65 wins. How many games did they play?

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