Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th March 2010
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 9 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/5. Work out n.
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Bounds3 marks
x = 84 and y = 43, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
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