Daily Practice

Higher Plus

6th April 1962

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 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/3. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 1.4. How many values in total?
4
Surds3 marks
Rationalise the denominator of 30/sqrt(3), giving your answer in its simplest form.
5
Algebraic Fractions3 marks
Simplify (x^2 + 8x + 7)/(x + 1).

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