Daily Practice

Higher Plus

6th August 1975

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

1
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 1) with x(0) = 5. Work out x(1) to 3 decimal places.
2
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 11 m/s over 10 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 the angle in a semicircle is being proved. State the reason being quoted.
4
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
5
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

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