Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th November 1999
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 25 units wide with density 0.6. How many values in total?
- 2Bounds3 marks
x = 132 and y = 24, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Algebraic Fractions3 marks
Simplify (x^2 + 2x - 3)/(x + 3).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 100. Work out the positive value of x when y = 144.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + 3b and vector RS = 4a + 6b. What does this show about PQ and RS?
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