Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th August 2021
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 15 cm by 10 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 5/13. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.
- 5The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -4, 6, 24, 50, ...
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