Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd January 2001

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

1
Surds3 marks
Expand and simplify (9 + sqrt(11))(9 - sqrt(11)).
2
Factorising Harder Quadratics3 marks
Solve 16x^2 - 16x - 5 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of b and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 36 wins. How many games did they play?

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