Daily Practice

Higher Plus

23rd July 1976

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 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.
3
Transforming Graphs y=f(x)3 marks
The point (-1, 2) lies on y = f(x). Write down its image on y = f(x - 4).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 16 m/s over 8 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 12 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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