Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th February 2026
- 1Bounds3 marks
A car covers 740 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Algebraic Fractions3 marks
Write 5/(x + 4) + 7/(x + 5) as a single fraction.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 11 cm and an area of 76.21 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.
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