Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

3rd March 2010

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 29 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Completing the Square3 marks
Write x^2 + 8x - 12 in the form (x + a)^2 + b.
4
Velocity Time Graphs3 marks
A tram runs at 17 m/s for 20 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 9 cm by 11 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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