Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th November 2009
- 1Algebraic Fractions3 marks
Write 4/(x + 3) + 7/(x + 5) as a single fraction.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 18. Work out the positive value of x when y = 98.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 12 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 2/5. Work out n.
- 5Histograms3 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?
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