Daily Practice

Higher Plus

28th October 1969

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 20-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 (9 + sqrt(3))(9 - sqrt(3)).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 3) with x(0) = 2. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A tram runs at 4 m/s for 30 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 3 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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