Daily Practice

Higher Plus

22nd November 1986

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 20 units wide with density 1.4. How many values in total?
2
Bounds3 marks
A car covers 850 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Transforming Graphs y=f(x)3 marks
The point (-2, 2) lies on y = f(x). Write down its image on y = f(-x).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 13 m/s over 4 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 6b and vector RS = 10a - 30b. What does this show about PQ and RS?

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