Daily Practice

Higher Plus

24th February 1991

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

1
Bounds3 marks
x = 77 and y = 66, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 14x + 13.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 48. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = c. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of q and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 5 wins. How many games did they play?

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