Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th September 2019
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).
- 3Rearranging Harder Formulae3 marks
Make x the subject of 7x + 4 = y(x + 4).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 14 m/s over 8 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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