Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

12th August 2018

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Bounds3 marks
x = 123 and y = 103, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 4 = y(x + 4).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 29 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 8 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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