Daily Practice

Higher Plus

17th June 1958

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

1
Surds3 marks
Expand and simplify (6 + sqrt(6))(6 - sqrt(6)).
2
Completing the Square3 marks
Write x^2 + 16x - 9 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 25.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of q and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 35 wins. How many games did they play?

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