Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th December 1996

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 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(27) + sqrt(108), giving your answer in the form a sqrt(b).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 2, 7, 18, 35, ...
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 23 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 13 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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