Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th October 2025
- 1Bounds3 marks
A car covers 610 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 12x + 7.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 72. Work out y when x = 6.
- 4The Cosine Rule3 marks
A triangle has sides of 12 cm and 17 cm with an angle of 114° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 7 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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