Daily Practice

Higher Plus

13th February 1953

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

1
Surds3 marks
Rationalise the denominator of 9/sqrt(3), 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 x^3. When x = 4, y = 128. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 90 wins. How many games did they play?

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