Daily Practice

Higher Plus

30th June 1985

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Bounds3 marks
x = 165 and y = 19, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Transforming Graphs y=f(x)3 marks
The point (0, -1) lies on y = f(x). Write down its image on y = f(x) - 4.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 10 m/s over 6 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 = 3a - b and vector RS = 15a - 5b. What does this show about PQ and RS?

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