Daily Practice

Higher Plus

11th June 1982

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Rationalise the denominator of 10/sqrt(5), giving your answer in its simplest form.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 14, 33, 60. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 12. Work out y when x = 64.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of q and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 60 wins. How many games did they play?

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