Daily Practice

Higher Plus

29th September 1961

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

1
Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 6x - 7 and g(x) = 6x - 6. Work out fg(4).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 49. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of m and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 24 wins. How many games did they play?

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