Daily Practice

Higher Plus

10th January 1972

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 2.5. How many more values are in the wider class?
2
Bounds3 marks
A block has mass 610 g (to the nearest 10 g) and volume 12 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Inverse and Composite Functions3 marks
f(x) = 5x + 1. Work out the inverse function f^-1(x).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 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 = 6a - 5b and vector RS = 12a - 10b. What does this show about PQ and RS?

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