Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
31st August 2026
- 1Bounds3 marks
A block has mass 570 g (to the nearest 10 g) and volume 24 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Rearranging Harder Formulae3 marks
Make x the subject of 2x + 4 = y(x + 4).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 36.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 69°, side a is 11 cm and side b is 9 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 5 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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