Daily Practice

Higher Plus

19th July 1970

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
x = 193 and y = 13, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Algebraic Fractions3 marks
Simplify (x^2 + 6x + 5)/(x + 5).
4
Velocity Time Graphs3 marks
A tram runs at 8 m/s for 30 s, then slows steadily to rest over 6 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 = 4a - 4b and vector RS = 20a - 20b. What does this show about PQ and RS?

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