Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
A car covers 880 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 3Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 3 in terms of an integer n?
- 4Velocity Time Graphs3 marks
A tram runs at 12 m/s for 30 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 13 cm by 15 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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