Daily Practice

Higher Plus

14th August 1987

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

1
Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 2x + 10. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of a and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 8 wins. How many games did they play?

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