Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
31st August 2004
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 0.8. How many values in total?
- 2Surds3 marks
Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).
- 3Algebraic Fractions3 marks
Write 3/(x - 3) + 2/(x - 5) as a single fraction.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 125. Work out the positive value of x when y = 125.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 13 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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