Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th February 2017

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

1
Surds3 marks
Expand and simplify (3 + sqrt(6))(3 - sqrt(6)).
2
Completing the Square3 marks
Write x^2 - 16x + 6 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 4. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of p and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 22 wins. How many games did they play?

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