Daily Practice

Higher Plus

30th October 1971

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Bounds3 marks
A car covers 630 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 19 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.

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