Daily Practice

Higher Plus

4th June 1987

5 questions · 12 marks · Grades 8-9 · 51 question types in this band

1
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 24, 44, 70. Work out the second difference, and the coefficient of n^2.
2
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 13 m/s over 12 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 radius is drawn to the midpoint of a chord. 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) = 15/28. Work out r.
5
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

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