Daily Practice

Higher Plus

1st April 1984

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

1
Bounds3 marks
x = 127 and y = 55, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Factorising Harder Quadratics3 marks
Solve 3x^2 - 10x + 3 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 25. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of m and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 60 wins. How many games did they play?

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