Higher Plus
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 4 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Bounds3 marks
A block has mass 200 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 10, 23, 42. Work out the second difference, and the coefficient of n^2.
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