Daily Practice · Higher Plus

Daily Practice - Higher Plus

21st January 1995

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Bounds3 marks
A car covers 490 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.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 8, 24, 50, 86. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A tram runs at 4 m/s for 10 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 8 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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