Daily Practice · Higher Plus

Daily Practice - Higher Plus

16th August 1994

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 a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 3.5. How many values in total?
4
Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).
5
Completing the Square3 marks
Write x^2 - 2x - 2 in the form (x + a)^2 + b.

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