Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th August 2025
- 1Bounds3 marks
A car covers 340 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Transforming Graphs y=f(x)3 marks
The point (-2, 0) lies on y = f(x). Write down its image on y = f(-x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides 6 cm, 12 cm and 9 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.
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