Daily Practice

Higher Plus

25th July 1985

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

1
Surds3 marks
Simplify sqrt(12) + sqrt(147), giving your answer in the form a sqrt(b).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 2x + 5.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of p and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 44 wins. How many games did they play?

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