Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

16th October 2001

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. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
3
Completing the Square3 marks
Write x^2 - 4x + 10 in the form (x + a)^2 + b.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 21 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 7 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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