Daily Practice

Higher Plus

23rd April 1957

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

1
Surds3 marks
Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -3, 4, 17, 36. 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 = 4. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 2 wins. How many games did they play?

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