Daily Practice

Higher Plus

3rd September 1962

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 two angles at the circumference stand on the same arc. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
3
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Bounds3 marks
A block has mass 820 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 1, 16, 39, 70, ...

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