Daily Practice

Higher Plus

12th July 1953

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Bounds3 marks
x = 119 and y = 79, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
4
Velocity Time Graphs3 marks
A tram runs at 20 m/s for 30 s, then slows steadily to rest over 4 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 two angles at the circumference stand on the same arc. State the reason being quoted.

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