Daily Practice

Higher Plus

1st October 1968

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 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/36. Work out r.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
5
Factorising Harder Quadratics3 marks
Solve 6x^2 + x - 2 = 0.

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