Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st March 2024
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.
- 3Algebraic Fractions3 marks
Simplify (x^2 - 6x + 8)/(x - 4).
- 4Velocity Time Graphs3 marks
A tram runs at 17 m/s for 10 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.
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