Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd September 2023
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Bounds3 marks
x = 182 and y = 83, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Factorising Harder Quadratics3 marks
Solve 20x^2 - 17x - 10 = 0.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 10 m/s over 4 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 opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
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