Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th April 2025
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 20/sqrt(5), giving your answer in its simplest form.
- 3Rearranging Harder Formulae3 marks
Make x the subject of 2x + 3 = y(x + 3).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 10 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.
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