Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th October 2021
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 8 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/7. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 0.8. How many values in total?
- 4Surds3 marks
Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).
- 5Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
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