Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd October 2006

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

1
Surds3 marks
Expand and simplify (4 + sqrt(5))(4 - sqrt(5)).
2
Quadratic Inequalities3 marks
Solve x^2 + 7x > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of p and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 4 wins. How many games did they play?

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