Daily Practice

Higher Plus

16th September 1975

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

1
Surds3 marks
Expand and simplify (8 + sqrt(10))(8 - sqrt(10)).
2
Inverse and Composite Functions3 marks
f(x) = 6x + 7 and g(x) = 5x - 8. Work out fg(4).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 32. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. P is the midpoint. Write vector OP in terms of m and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 48 wins. How many games did they play?

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