Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th March 2022
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 15 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/12. Work out n.
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 18/sqrt(2), giving your answer in its simplest form.
- 5Transforming Graphs y=f(x)3 marks
The point (6, 0) lies on y = f(x). Write down its image on y = f(x + 1).
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