Daily Practice · Higher Plus

Daily Practice - Higher Plus

22nd October 1991

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

1
Surds3 marks
Expand and simplify (5 + sqrt(3))(5 - sqrt(3)).
2
Inverse and Composite Functions3 marks
f(x) = 4x + 1. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 16. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of a and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 25 wins. How many games did they play?

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