Daily Practice

Higher Plus

25th December 1990

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 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
3
Algebraic Fractions3 marks
Write 5/(x + 5) + 6/(x + 1) as a single fraction.
4
Velocity Time Graphs3 marks
A tram runs at 19 m/s for 20 s, then slows steadily to rest over 6 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 a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.

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