Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th July 2025
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Bounds3 marks
A rectangle is 8 cm by 26 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 24 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + b and vector RS = 6a + 3b. What does this show about PQ and RS?
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