Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd November 2022
- 1Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 24 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 3Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a + 4b and vector RS = 12a + 8b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 12 wins. How many games did they play?
- 5Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
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