Daily Practice

Higher Plus

22nd April 1980

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

1
Surds3 marks
Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).
2
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 3 = y(x + 3).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 18. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = c. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of b and c.
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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