Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th January 2014
- 1Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 27 m/s over 6 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 the three angles of triangle OAB are being summed. State the reason being quoted.
- 4Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.
- 5Histograms2 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?
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