Daily Practice

Higher Plus

21st March 1986

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
Surds3 marks
Rationalise the denominator of 10/sqrt(5), giving your answer in its simplest form.
3
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 7 = y(x + 7).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 11 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 the three angles of triangle OAB are being summed. State the reason being quoted.

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