Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st September 2013
- 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?
- 2Bounds3 marks
x = 146 and y = 75, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 4) with x(0) = 3. Work out x(1) to 3 decimal places.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 125.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 6b and vector RS = 25a + 30b. What does this show about PQ and RS?
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