Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th January 2005
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 6b and vector RS = 20a + 30b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 24 wins. How many games did they play?
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 10 units wide with density 3. How many values in total?
- 4Bounds3 marks
A rectangle is 8 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Inverse and Composite Functions3 marks
f(x) = 6x - 5. Work out the inverse function f^-1(x).
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