Daily Practice

Higher Plus

22nd February 1980

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

1
Surds3 marks
Rationalise the denominator of 36/sqrt(3), giving your answer in its simplest form.
2
Transforming Graphs y=f(x)3 marks
The point (-4, -3) lies on y = f(x). Write down its image on y = f(x) + 1.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 25.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 63 wins. How many games did they play?

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