Daily Practice

Higher Plus

2nd May 1978

5 questions · 13 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 3. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).
3
Completing the Square3 marks
Write x^2 - 8x - 3 in the form (x + a)^2 + b.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 16 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 a radius is drawn to the midpoint of a chord. State the reason being quoted.

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