Daily Practice

Higher Plus

9th January 1963

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 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 24 cm by 4 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 the product of two consecutive integers in terms of an integer n?
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 21 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 10 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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