Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd January 1998
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 5b and vector RS = 2a + 10b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 9 wins. How many games did they play?
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?
- 4Bounds3 marks
A car covers 520 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 5Algebraic Fractions3 marks
Simplify (x^2 - 11x + 24)/(x - 3).
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