Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th September 2022

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 2.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
3
Quadratic Inequalities3 marks
Solve x^2 - 6x + 8 < 0.
4
Velocity Time Graphs3 marks
A tram runs at 11 m/s for 30 s, then slows steadily to rest over 4 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 7 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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