Daily Practice

Higher Plus

23rd May 1958

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 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 18/sqrt(6), giving your answer in its simplest form.
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 7, 23, 47, 79, ...
4
Velocity Time Graphs3 marks
A tram runs at 10 m/s for 10 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 = 5a + 2b and vector RS = 10a + 4b. What does this show about PQ and RS?

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