Daily Practice

Higher Plus

25th June 1983

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

1
Inverse and Composite Functions3 marks
f(x) = 4x + 3 and g(x) = 2x + 3. Work out fg(1).
2
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 12 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
3
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
4
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.
5
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?

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