Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th October 2015

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
3
Rearranging Harder Formulae3 marks
Make x the subject of 5x + 5 = y(x + 5).
4
Velocity Time Graphs3 marks
A tram runs at 8 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 14 cm by 4 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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