Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st August 1998
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - 3b and vector RS = 8a - 6b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 3 wins. How many games did they play?
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Bounds3 marks
A car covers 650 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 5Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
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