Daily Practice

Higher Plus

18th December 1981

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 1.4. How many values in total?
2
Surds3 marks
Rationalise the denominator of 36/sqrt(6), giving your answer in its simplest form.
3
Completing the Square3 marks
Write x^2 - 2x - 10 in the form (x + a)^2 + b.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 35 m/s over 20 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 3b and vector RS = 24a - 12b. What does this show about PQ and RS?

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