Daily Practice · Higher Plus

Daily Practice - Higher Plus

28th September 1993

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 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (6 + sqrt(2))(6 - sqrt(2)).
3
Proof2 marks
In an algebraic proof, how would you write a multiple of 5 in terms of an integer n?
4
Velocity Time Graphs3 marks
A tram runs at 13 m/s for 30 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 5 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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