Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 8) with x(0) = 3. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 22 m/s over 6 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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