Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

21st February 2018

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, 27, 54, 91. Work out the second difference, and the coefficient of n^2.
2
Velocity Time Graphs3 marks
A tram runs at 16 m/s for 10 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
3
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. 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) = 1/28. 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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