Daily Practice

Higher Plus

29th July 1990

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

1
Bounds3 marks
x = 108 and y = 70, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Completing the Square3 marks
Write x^2 + 14x - 13 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 15 wins. How many games did they play?

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