Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th April 2025
- 1Bounds3 marks
A block has mass 410 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Algebraic Fractions3 marks
Write 6/(x + 4) + 2/(x + 6) as a single fraction.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 45. Work out y when x = 64.
- 4The Cosine Rule3 marks
A triangle has sides of 7 cm and 9 cm with an angle of 110° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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