Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st October 2016
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 4 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Bounds3 marks
A car covers 470 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 5Rearranging Harder Formulae3 marks
Make x the subject of 5x + 6 = y(x + 6).
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