Daily Practice

Higher Plus

6th December 1984

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 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/55. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 3. How many values in total?
4
Surds3 marks
Simplify sqrt(12) + sqrt(3), giving your answer in the form a sqrt(b).
5
Algebraic Fractions3 marks
Write 3/(x - 4) + 2/(x + 2) as a single fraction.

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