Daily Practice

Higher Plus

2nd April 1961

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

1
Bounds3 marks
x = 109 and y = 6, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Completing the Square3 marks
Write x^2 - 14x + 7 in the form (x + a)^2 + b.
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 = q and vector OB = p. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of q and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 27 wins. How many games did they play?

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