Daily Practice

Higher Plus

10th January 1956

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 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
3
Algebraic Fractions3 marks
Simplify (x^2 + 4x - 32)/(x + 8).
4
Velocity Time Graphs3 marks
A tram runs at 17 m/s for 10 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 12 cm by 5 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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