Daily Practice

Higher Plus

21st October 1968

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Bounds3 marks
A block has mass 630 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 17, 33, 55. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 13 m/s over 8 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 opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.

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