Daily Practice

Higher Plus

1st December 1989

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

1
Surds3 marks
Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
2
Transforming Graphs y=f(x)3 marks
The point (-2, 2) lies on y = f(x). Write down its image on y = f(x + 2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of q and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 45 wins. How many games did they play?

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