Daily Practice

Higher Plus

28th February 1956

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

1
Surds3 marks
Expand and simplify (7 + sqrt(5))(7 - sqrt(5)).
2
Inverse and Composite Functions3 marks
f(x) = 6x + 1 and g(x) = 4x - 4. Work out fg(2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 35. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = p. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of c and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 30 wins. How many games did they play?

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