Daily Practice · Higher Plus

Daily Practice - Higher Plus

3rd November 1996

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 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
3
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Bounds3 marks
x = 32 and y = 21, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Quadratic Inequalities3 marks
Solve x^2 + 13x + 42 > 0.

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