Daily Practice

Higher Plus

22nd December 1970

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 20-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 (6 + sqrt(5))(6 - sqrt(5)).
3
Transforming Graphs y=f(x)3 marks
The point (-3, -2) lies on y = f(x). Write down its image on y = f(x) + 2.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 20 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 5 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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