Daily Practice

Higher Plus

4th September 1956

5 questions · 14 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 exterior angle of a cyclic quadrilateral is being found. 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) = 5/18. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 1.4. How many values in total?
4
Surds3 marks
Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
5
Algebraic Fractions3 marks
Simplify (x^2 - 4x + 3)/(x - 1).

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