Daily Practice

Higher Plus

12th October 1972

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(12) + sqrt(108), giving your answer in the form a sqrt(b).
3
Algebraic Fractions3 marks
Simplify (x^2 + 7x - 8)/(x - 1).
4
Velocity Time Graphs3 marks
A tram runs at 7 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 8 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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