Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd March 2023
- 1The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 12, 29, 54. Work out the second difference, and the coefficient of n^2.
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 23 m/s over 12 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 - 5b and vector RS = 20a - 20b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 30 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 2. How many more values are in the wider class?
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