Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th October 2003
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 3. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 63/sqrt(7), giving your answer in its simplest form.
- 3Rearranging Harder Formulae3 marks
Make x the subject of 3x + 6 = y(x + 6).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 32.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 4b and vector RS = 16a + 16b. What does this show about PQ and RS?
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