Daily Practice

Higher Plus

9th July 1971

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

1
Surds3 marks
Rationalise the denominator of 77/sqrt(7), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 2x - 8 and g(x) = 4x + 2. Work out fg(2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = b. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of q and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 18 wins. How many games did they play?

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