Daily Practice

Higher Plus

23rd November 1980

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Bounds3 marks
x = 51 and y = 41, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 14 m/s over 4 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 = 6a - 6b and vector RS = 24a - 24b. What does this show about PQ and RS?

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