Daily Practice

Higher Plus

7th June 1977

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
2
Quadratic Inequalities3 marks
Solve x^2 + 7x + 6 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of p and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 50 wins. How many games did they play?

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