Daily Practice

Higher Plus

22nd June 1982

5 questions · 13 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
Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).
3
Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 12 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 8 cm by 15 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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