Daily Practice

Higher Plus

22nd May 1965

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
Bounds3 marks
A car covers 890 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Transforming Graphs y=f(x)3 marks
The point (-4, 0) lies on y = f(x). Write down its image on y = f(-x).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 16 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 13 cm by 8 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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