Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

24th April 2014

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

1
Surds3 marks
Simplify sqrt(45) + sqrt(45), giving your answer in the form a sqrt(b).
2
Completing the Square3 marks
Write x^2 - 10x + 9 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = b. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of q and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 56 wins. How many games did they play?

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