Daily Practice

Higher Plus

1st January 1953

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
Simplify sqrt(8) + sqrt(2), giving your answer in the form a sqrt(b).
3
Algebraic Fractions3 marks
Write 2/(x + 6) + 4/(x - 6) as a single fraction.
4
Velocity Time Graphs3 marks
A tram runs at 8 m/s for 20 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 6 cm by 7 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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