Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th November 2019
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 55/sqrt(11), giving your answer in its simplest form.
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 14, 21, 30, 41. Work out the second difference, and the coefficient of n^2.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 180. Work out the positive value of x when y = 80.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 3b and vector RS = 2a + 6b. What does this show about PQ and RS?
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