Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st March 2024
- 1Transforming Graphs y=f(x)3 marks
The point (1, -5) lies on y = f(x). Write down its image on y = f(x + 4).
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 22 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 opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
- 4Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.
- 5Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
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