Daily Practice

Higher Plus

17th March 1989

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 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 36/sqrt(3), giving your answer in its simplest form.
3
Quadratic Inequalities3 marks
Solve x^2 - 2x - 8 > 0.
4
Velocity Time Graphs3 marks
A tram runs at 7 m/s for 10 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 14 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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