Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th October 2005

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 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 14 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Factorising Harder Quadratics3 marks
Solve 8x^2 - 26x + 15 = 0.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 18 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 12 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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