Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).
- 3Factorising Harder Quadratics3 marks
Solve 5x^2 + 34x + 24 = 0.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 17 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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