Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Rationalise the denominator of 45/sqrt(5), giving your answer in its simplest form.
- 2Proof2 marks
In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of b and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 35 wins. How many games did they play?
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