Daily Practice

Higher Plus

7th February 1978

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
3
Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
4
Velocity Time Graphs3 marks
A tram runs at 5 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 = 3a - 3b and vector RS = 12a - 12b. What does this show about PQ and RS?

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