Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th July 2023
- 1Algebraic Fractions3 marks
Write 2/(x - 2) + 4/(x - 1) as a single fraction.
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 22 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 3Proof 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.
- 4Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 5Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
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