Daily Practice

Higher Plus

30th November 1972

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

1
Surds3 marks
Simplify sqrt(75) + sqrt(75), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 4x + 5 and g(x) = 5x + 3. Work out fg(-3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 36.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. X is the midpoint. Write vector OX in terms of m and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 18 wins. How many games did they play?

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