Daily Practice

Higher Plus

22nd September 1953

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 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (2 + sqrt(7))(2 - sqrt(7)).
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 14, 20, 28. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A tram runs at 12 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 4 cm by 13 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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