Daily Practice

Higher Plus

17th May 1981

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

1
Bounds3 marks
x = 190 and y = 166, 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 - 16x + 1.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of b and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 28 wins. How many games did they play?

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