Daily Practice

Higher Plus

28th September 1984

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

1
Surds3 marks
Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Simplify (x^2 + 12x + 35)/(x + 7).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 18. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of b and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 21 wins. How many games did they play?

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