Daily Practice

Higher Plus

31st August 1979

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 10 units wide with density 3.5. How many values in total?
2
Surds3 marks
Rationalise the denominator of 55/sqrt(11), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 2x - 1 and g(x) = 5x - 9. Work out fg(1).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 32 m/s over 10 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - b and vector RS = 8a - 4b. What does this show about PQ and RS?

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