Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th July 2011

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 15-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 26 cm by 15 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Quadratic Inequalities3 marks
Solve x^2 + 13x + 40 > 0.
4
Velocity Time Graphs3 marks
A tram runs at 19 m/s for 20 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 13 cm by 6 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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