Daily Practice

Higher Plus

24th July 1985

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 1.5. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 24 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 1, 9, 19, 31. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 21 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
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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