Daily Practice

Higher Plus

5th April 1990

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 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(18) + sqrt(72), giving your answer in the form a sqrt(b).
3
Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
4
Velocity Time Graphs3 marks
A tram runs at 14 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
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - b and vector RS = 24a - 4b. What does this show about PQ and RS?

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