Daily Practice

Higher Plus

25th June 1986

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 4 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Proof2 marks
In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 13 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 = 2a - 3b and vector RS = 10a - 15b. What does this show about PQ and RS?

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