Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th August 2026
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
- 3Quadratic Inequalities3 marks
Solve x^2 + 3x - 10 < 0.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 20 m/s over 10 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 the angle in a semicircle is being proved. State the reason being quoted.
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