Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd October 1998
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.
- 3Algebraic Fractions3 marks
Simplify (x^2 + 2x - 8)/(x - 2).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 112. Work out the positive value of x when y = 343.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 7 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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