Daily Practice

Higher Plus

31st December 1989

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

1
Bounds3 marks
x = 138 and y = 28, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Inequalities3 marks
Solve x^2 + 2x < 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 9.
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 3 : 1. Write vector OP in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 20 wins. How many games did they play?

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