Daily Practice

Higher Plus

4th September 1960

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

1
Bounds3 marks
x = 134 and y = 9, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Inequalities3 marks
Solve x^2 - 4x + 3 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of m and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 21 wins. How many games did they play?

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