Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th August 2010
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 9 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 10 units wide with density 0.6. How many values in total?
- 4Bounds3 marks
A rectangle is 27 cm by 21 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 9 in terms of an integer n?
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