Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th December 2023
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 18/sqrt(2), giving your answer in its simplest form.
- 3Algebraic Fractions3 marks
Write 2/(x + 6) + 7/(x - 5) as a single fraction.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 16 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 4b and vector RS = 16a + 16b. What does this show about PQ and RS?
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