Daily Practice

Higher Plus

28th November 1961

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

1
Surds3 marks
Expand and simplify (2 + sqrt(3))(2 - sqrt(3)).
2
Factorising Harder Quadratics3 marks
Solve 16x^2 + 24x + 5 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 4. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of m and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 20 wins. How many games did they play?

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