Daily Practice

Higher Plus

17th December 1971

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 4-wide bar and a 8-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 18/sqrt(3), giving your answer in its simplest form.
3
Proof2 marks
In an algebraic proof, how would you write an even number in terms of an integer n?
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 15 m/s over 10 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 15 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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