Daily Practice · Higher Plus

Daily Practice - Higher Plus

20th November 1992

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 12/sqrt(2), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Simplify (x^2 - 4x - 21)/(x - 7).
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
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - b and vector RS = 12a - 2b. What does this show about PQ and RS?

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