Daily Practice

Higher Plus

4th March 1980

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 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 1, 7, 19, 37, ...
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 17 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 9 cm by 14 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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