Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th August 2011
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.
- 3Rearranging Harder Formulae3 marks
Make x the subject of 3x + 3 = y(x + 3).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 54. Work out the positive value of x when y = 486.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 8 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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