Daily Practice

Higher Plus

30th March 1969

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 the exterior angle of a cyclic quadrilateral is being found. 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
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Bounds3 marks
x = 37 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Algebraic Fractions3 marks
Simplify (x^2 + 4x - 21)/(x + 7).

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