Daily Practice

Higher Plus

18th May 1975

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Bounds3 marks
x = 186 and y = 112, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Inverse and Composite Functions3 marks
f(x) = 5x + 7. Work out the inverse function f^-1(x).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 19 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.

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