Daily Practice

Higher Plus

23rd November 1962

5 questions · 14 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
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 21, 41, 69. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 144. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. N is the midpoint. Write vector ON in terms of b and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 6 wins. How many games did they play?

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