Daily Practice

Higher Plus

15th October 1960

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 20-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 760 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Proof2 marks
In an algebraic proof, how would you write an even number in terms of an integer n?
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 28 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 4 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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