Daily Practice

Higher Plus

23rd August 1968

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

1
Surds3 marks
Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x - 14 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 18. Work out y when x = 36.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of p and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 6 wins. How many games did they play?

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