Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd February 2001
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 13 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 2 red and n blue counters. The probability of taking a red is 2/7. Work out n.
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Surds3 marks
Simplify sqrt(72) + sqrt(2), giving your answer in the form a sqrt(b).
- 5Factorising Harder Quadratics3 marks
Solve 16x^2 + 8x + 1 = 0.
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