Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th February 2006
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + 3b and vector RS = 6a + 9b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 15 wins. How many games did they play?
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Bounds3 marks
A block has mass 780 g (to the nearest 10 g) and volume 24 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 5Rearranging Harder Formulae3 marks
Make x the subject of 8x + 6 = y(x + 6).
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