Daily Practice

Higher Plus

11th July 1967

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 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
3
Algebraic Fractions3 marks
Write 6/(x + 3) + 2/(x - 1) as a single fraction.
4
Velocity Time Graphs3 marks
A tram runs at 6 m/s for 10 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 6 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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