Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st January 2026

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

1
Bounds3 marks
A rectangle is 26 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 8x - 15.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of a and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 63 wins. How many games did they play?

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