Daily Practice

Higher Plus

21st September 1976

5 questions · 14 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 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).
3
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 8 = y(x + 8).
4
Velocity Time Graphs3 marks
A tram runs at 17 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 7 cm by 12 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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