Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th March 2014
- 1The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 19, 32, 49. Work out the second difference, and the coefficient of n^2.
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 23 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 10 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/5. Work out n.
- 5Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
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