Daily Practice

Higher Plus

18th March 1966

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 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?
2
Surds3 marks
Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -3, 4, 15, 30, ...
4
Velocity Time Graphs3 marks
A tram runs at 8 m/s for 30 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 11 cm by 13 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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