Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Bounds3 marks
x = 51 and y = 30, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 10 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 = 2a - 4b and vector RS = 8a - 16b. What does this show about PQ and RS?
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