Daily Practice

Higher Plus

29th August 1963

5 questions · 13 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 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.
3
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Surds3 marks
Simplify sqrt(20) + sqrt(125), giving your answer in the form a sqrt(b).
5
Algebraic Fractions3 marks
Simplify (x^2 - 3x - 10)/(x - 5).

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