Daily Practice

Higher Plus

17th October 1978

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 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).
3
Transforming Graphs y=f(x)3 marks
The point (0, 3) lies on y = f(x). Write down its image on y = f(x) + 3.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 17 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 11 cm by 8 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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