Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th June 2015

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

1
Surds3 marks
Simplify sqrt(80) + sqrt(80), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Simplify (x^2 - x - 2)/(x + 1).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 4. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. X is the midpoint. Write vector OX in terms of q and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 50 wins. How many games did they play?

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