Daily Practice

Higher Plus

27th February 1979

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

1
Surds3 marks
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
2
Algebraic Fractions3 marks
Simplify (x^2 + 2x - 15)/(x + 5).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 21. Work out y when x = 49.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 27 wins. How many games did they play?

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