Daily Practice

Higher Plus

29th November 1972

5 questions · 13 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 21 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 3, 14, 31, 54, ...
4
Velocity Time Graphs3 marks
A tram runs at 6 m/s for 20 s, then slows steadily to rest over 10 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 triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.

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