Daily Practice

Higher Plus

13th October 1981

5 questions · 13 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 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (5 + sqrt(6))(5 - sqrt(6)).
3
Factorising Harder Quadratics3 marks
Solve 4x^2 + 12x + 9 = 0.
4
Velocity Time Graphs3 marks
A tram runs at 9 m/s for 30 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
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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