Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th January 2013
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 30/sqrt(6), giving your answer in its simplest form.
- 3Proof2 marks
In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
- 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 = 392.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 6b and vector RS = 30a - 30b. What does this show about PQ and RS?
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