Daily Practice · Higher Plus

Daily Practice - Higher Plus

26th July 1996

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 1.5. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 121/sqrt(11), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Write 7/(x + 2) + 2/(x + 3) as a single fraction.
4
Velocity Time Graphs3 marks
A tram runs at 7 m/s for 10 s, then slows steadily to rest over 4 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 two angles at the circumference stand on the same arc. State the reason being quoted.

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