Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th April 2026
- 1Bounds3 marks
A block has mass 550 g (to the nearest 10 g) and volume 4 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Completing the Square3 marks
Write x^2 + 12x - 2 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 4.
- 4The Cosine Rule3 marks
A triangle has sides 10 cm, 6 cm and 13 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 1/3. Work out n.
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