Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
A rectangle is 21 cm by 26 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Factorising Harder Quadratics3 marks
Solve 2x^2 - x - 1 = 0.
- 4Velocity Time Graphs3 marks
A tram runs at 5 m/s for 10 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 13 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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