Daily Practice

Higher Plus

24th May 1983

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 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (8 + sqrt(6))(8 - sqrt(6)).
3
Algebraic Fractions3 marks
Simplify (x^2 + 3x - 10)/(x + 5).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 24 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 10 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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