Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd August 2014
- 1Surds3 marks
Rationalise the denominator of 20/sqrt(5), giving your answer in its simplest form.
- 2Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 3 in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 16. Work out y when x = 81.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. X is the midpoint. Write vector OX in terms of c and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 52 wins. How many games did they play?
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