Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th February 2006
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 20 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
- 3Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x - 7 simultaneously.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out the positive value of x when y = 243.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - b and vector RS = 5a - 5b. What does this show about PQ and RS?
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