Daily Practice

Higher Plus

22nd May 1981

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 30-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 70/sqrt(7), giving your answer in its simplest form.
3
Quadratic Inequalities3 marks
Solve x^2 + 8x + 12 > 0.
4
Velocity Time Graphs3 marks
A tram runs at 13 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 + 4b and vector RS = 30a + 20b. What does this show about PQ and RS?

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