Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th August 2013

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 8 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Factorising Harder Quadratics3 marks
Solve 10x^2 - 17x + 6 = 0.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 21 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 11 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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