Daily Practice · Higher Plus

Daily Practice - Higher Plus

31st October 1991

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 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/55. Work out r.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 10 units wide with density 0.6. How many values in total?
4
Surds3 marks
Simplify sqrt(50) + sqrt(50), giving your answer in the form a sqrt(b).
5
Completing the Square3 marks
Write x^2 + 10x + 10 in the form (x + a)^2 + b.

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