Daily Practice

Higher Plus

6th December 1988

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
Algebraic Fractions3 marks
Simplify (x^2 + 2x - 15)/(x - 3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 6 wins. How many games did they play?

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