Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

24th August 2025

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

1
Bounds3 marks
x = 93 and y = 81, each correct to the nearest whole number. Work out the upper bound of x - y.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 5, 13, 29, 53, ...
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 8. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of c and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 21 wins. How many games did they play?

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