Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th January 2023

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

1
Inverse and Composite Functions3 marks
f(x) = 2x + 10. Work out the inverse function f^-1(x).
2
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 20 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 4 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
4
Conditional Probability3 marks
A bag holds 6 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
5
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

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