Daily Practice

Higher Plus

3rd February 1956

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 20-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 50/sqrt(5), giving your answer in its simplest form.
3
Factorising Harder Quadratics3 marks
Solve 6x^2 - 5x - 6 = 0.
4
Velocity Time Graphs3 marks
A tram runs at 15 m/s for 10 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 - 6b and vector RS = 12a - 12b. What does this show about PQ and RS?

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