Daily Practice

Higher Plus

23rd July 1974

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

1
Surds3 marks
Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).
2
Transforming Graphs y=f(x)3 marks
The point (-1, 1) 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 sqrt(x). When x = 25, y = 20. Work out y when x = 36.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. N is the midpoint. Write vector ON in terms of q and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 27 wins. How many games did they play?

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