Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

3rd April 2018

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (7 + sqrt(6))(7 - sqrt(6)).
2
Algebraic Fractions3 marks
Simplify (x^2 - 36)/(x - 6).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 6. Work out y when x = 64.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of m and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 12 wins. How many games did they play?

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