Daily Practice

Higher Plus

22nd August 1975

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 3. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.
3
Factorising Harder Quadratics3 marks
Solve 9x^2 - 4 = 0.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 15 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - 4b and vector RS = 20a - 20b. What does this show about PQ and RS?

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