Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th July 2005
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 4b and vector RS = 20a + 16b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 44 wins. How many games did they play?
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 10 units wide with density 3. How many values in total?
- 4Bounds3 marks
A block has mass 320 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 5Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
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