Daily Practice

Higher Plus

17th October 1969

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

1
Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 2, 15, 34, 59, ...
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 8. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of c and q.
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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