Daily Practice

Higher Plus

22nd September 1969

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 2.5. How many more values are in the wider class?
2
Bounds3 marks
A block has mass 500 g (to the nearest 10 g) and volume 24 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 23 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 = a - 6b and vector RS = 2a - 12b. What does this show about PQ and RS?

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