Daily Practice

Higher Plus

29th April 1974

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 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
A block has mass 790 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Transforming Graphs y=f(x)3 marks
The point (-6, -6) 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 12 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 2b and vector RS = 5a - 10b. What does this show about PQ and RS?

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