Daily Practice

Higher Plus

5th October 1973

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 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. 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. How many values in total?
4
Surds3 marks
Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.
5
Algebraic Fractions3 marks
Write 4/(x + 6) + 6/(x - 2) as a single fraction.

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