Daily Practice

Higher Plus

16th June 1981

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

1
Surds3 marks
Expand and simplify (8 + sqrt(6))(8 - sqrt(6)).
2
Factorising Harder Quadratics3 marks
Solve 15x^2 + 4x - 3 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 15. Work out y when x = 49.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 72 wins. How many games did they play?

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