Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th November 2013
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
- 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 = 6, y = 252. Work out the positive value of x when y = 63.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 10 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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