Daily Practice

Higher Plus

14th June 1970

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

1
Bounds3 marks
x = 154 and y = 85, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Inequalities3 marks
Solve x^2 + 2x - 3 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 32. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 54 wins. How many games did they play?

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