Daily Practice

Higher Plus

11th February 1959

5 questions · 12 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 5 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Proof2 marks
In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
4
Velocity Time Graphs3 marks
A tram runs at 5 m/s for 30 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.

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