Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th October 2019
- 1Surds3 marks
Rationalise the denominator of 18/sqrt(2), giving your answer in its simplest form.
- 2Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = c. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of b and c.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 18 wins. How many games did they play?
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