Daily Practice

Higher Plus

4th November 1977

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

1
Surds3 marks
Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 5x + 10. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 4. Work out y when x = 16.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of b and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 18 wins. How many games did they play?

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