Daily Practice

Higher Plus

4th July 1989

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

1
Surds3 marks
Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).
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 inversely proportional to x^2. When x = 4, y = 12. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. P is the midpoint. Write vector OP in terms of q and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 20 wins. How many games did they play?

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