Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th April 2026
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Bounds3 marks
A block has mass 700 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3Inverse and Composite Functions3 marks
f(x) = 3x + 3 and g(x) = 4x - 2. Work out fg(4).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 19 m/s over 12 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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