Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

16th March 2010

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

1
Surds3 marks
Expand and simplify (5 + sqrt(3))(5 - sqrt(3)).
2
Algebraic Fractions3 marks
Write 7/(x - 1) + 7/(x) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 12. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. X is the midpoint. Write vector OX in terms of a and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 2 wins. How many games did they play?

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