Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st October 2014

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

1
Surds3 marks
Expand and simplify (2 + sqrt(6))(2 - sqrt(6)).
2
Inverse and Composite Functions3 marks
f(x) = 2x + 5 and g(x) = 5x - 5. Work out fg(-1).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = c. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of q and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 10 wins. How many games did they play?

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