Daily Practice

Higher Plus

12th March 1961

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 angle in a semicircle is being proved. 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) = 3/28. Work out r.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Bounds3 marks
x = 146 and y = 15, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Algebraic Fractions3 marks
Write 4/(x - 2) + 3/(x + 2) as a single fraction.

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