Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th January 2005

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

1
Surds3 marks
Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).
2
Inverse and Composite Functions3 marks
f(x) = 4x + 2 and g(x) = 2x - 2. Work out fg(3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = a. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of c and a.
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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