Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th August 2023
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Simplify sqrt(50) + sqrt(72), giving your answer in the form a sqrt(b).
- 3Algebraic Fractions3 marks
Simplify (x^2 + 17x + 72)/(x + 8).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 6 m/s over 4 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 = 5a - 5b and vector RS = 10a - 10b. What does this show about PQ and RS?
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