Daily Practice · Higher Plus

Daily Practice - Higher Plus

6th October 1995

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 2, one 20 units wide with density 0.8. How many values in total?
2
Surds3 marks
Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 5x - 11. Work out the inverse function f^-1(x).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 14 m/s over 4 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + 2b and vector RS = 8a + 8b. What does this show about PQ and RS?

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