Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th October 2022

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

1
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/6. Work out r.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 8, 14, 26, 44. Work out the second difference, and the coefficient of n^2.

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