Daily Practice

Higher Plus

25th October 1979

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

1
Surds3 marks
Simplify sqrt(72) + sqrt(50), giving your answer in the form a sqrt(b).
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 289 and y = x - 7 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 14. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 5 wins. How many games did they play?

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