Daily Practice

Higher Plus

24th July 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 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 35/sqrt(5), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Write 4/(x + 5) + 6/(x + 6) as a single fraction.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 14 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 8 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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