Daily Practice · Higher Plus

Daily Practice - Higher Plus

3rd February 1995

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

1
Surds3 marks
Rationalise the denominator of 14/sqrt(7), giving your answer in its simplest form.
2
Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 108. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of p and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 52 wins. How many games did they play?

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