Daily Practice

Higher Plus

10th July 1990

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 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
3
Transforming Graphs y=f(x)3 marks
The point (-4, -5) lies on y = f(x). Write down its image on y = f(x) - 3.
4
Velocity Time Graphs3 marks
A tram runs at 4 m/s for 20 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 12 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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