Daily Practice

Higher Plus

29th December 1978

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

1
Surds3 marks
Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 5) with x(0) = 4. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 144. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of p and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 99 wins. How many games did they play?

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