Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 4x - 4.
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 15 m/s over 8 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 = 5a + 2b and vector RS = 10a + 4b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 117 wins. How many games did they play?
- 5Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
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