Daily Practice

Higher Plus

31st October 1989

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 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (2 + sqrt(6))(2 - sqrt(6)).
3
Proof2 marks
In an algebraic proof, how would you write an odd number in terms of an integer n?
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 8 m/s over 10 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 tangent meets a radius at the point of contact. State the reason being quoted.

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