Daily Practice · Higher Plus

Daily Practice - Higher Plus

6th October 1996

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Bounds3 marks
x = 38 and y = 24, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Completing the Square3 marks
Write x^2 - 10x - 1 in the form (x + a)^2 + b.
4
Velocity Time Graphs3 marks
A tram runs at 19 m/s for 10 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 12 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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