Daily Practice

Higher Plus

12th February 1959

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

1
Surds3 marks
Simplify sqrt(12) + sqrt(12), giving your answer in the form a sqrt(b).
2
Factorising Harder Quadratics3 marks
Solve 6x^2 + 7x + 2 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 49.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. M is the midpoint. Write vector OM in terms of m and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 96 wins. How many games did they play?

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