Daily Practice

Higher Plus

24th January 1974

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

1
Surds3 marks
Simplify sqrt(75) + sqrt(27), giving your answer in the form a sqrt(b).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -2, 5, 18, 37. 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 = 3, y = 72. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. P is the midpoint. Write vector OP in terms of q and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 16 wins. How many games did they play?

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