Daily Practice

Higher Plus

18th September 1986

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(27) + sqrt(147), giving your answer in the form a sqrt(b).
2
Proof2 marks
In an algebraic proof, how would you write an even number in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 10. Work out y when x = 64.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = a. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of c and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 36 wins. How many games did they play?

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