Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

31st October 2021

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 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
x = 161 and y = 133, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Inverse and Composite Functions3 marks
f(x) = 6x - 6 and g(x) = 2x + 4. Work out fg(1).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 15 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 4 cm by 13 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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