Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th July 2024

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(8) + sqrt(32), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 4x - 2. Work out the inverse function f^-1(x).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 18 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 15 cm by 14 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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