Daily Practice

Higher Plus

7th October 1973

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 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
x = 100 and y = 14, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Transforming Graphs y=f(x)3 marks
The point (6, 1) lies on y = f(x). Write down its image on y = f(x - 5).
4
Velocity Time Graphs3 marks
A tram runs at 11 m/s for 30 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 6 cm by 3 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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