Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 3 cm by 3 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 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.
- 5Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x - 5.
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