Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th November 2022
- 1Surds3 marks
Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).
- 2The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -1, 8, 21, 38, ...
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 28. Work out y when x = 36.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. M is the midpoint. Write vector OM in terms of a and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 28 wins. How many games did they play?
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