Daily Practice

Higher Plus

29th August 1980

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 two angles at the circumference stand on the same arc. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 6/11. Work out r.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 20 units wide with density 0.8. How many values in total?
4
Surds3 marks
Rationalise the denominator of 50/sqrt(5), giving your answer in its simplest form.
5
Completing the Square3 marks
Write x^2 - 2x - 12 in the form (x + a)^2 + b.

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