Daily Practice

Higher Plus

18th July 1975

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Rationalise the denominator of 36/sqrt(3), giving your answer in its simplest form.
2
Proof2 marks
In an algebraic proof, how would you write an odd number in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 20. Work out y when x = 64.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. M is the midpoint. Write vector OM in terms of q and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 28 wins. How many games did they play?

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