Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A car covers 830 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.
- 2Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = q. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of m and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 44 wins. How many games did they play?
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