Daily Practice

Higher Plus

4th October 1985

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 12/sqrt(2), giving your answer in its simplest form.
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 4, 14, 30, 52, ...
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 10 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 10 cm by 5 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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