Daily Practice

Higher Plus

23rd December 1979

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
x = 75 and y = 21, each correct to the nearest whole number. Work out the upper bound of x - y.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 17, 30, 49. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 25 m/s over 4 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 OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.

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