Daily Practice

Higher Plus

23rd October 1981

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 tangent meets a radius at the point of contact. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 20 units wide with density 1.4. How many values in total?
4
Surds3 marks
Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.
5
Algebraic Fractions3 marks
Simplify (x^2 - 5x - 24)/(x - 8).

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