Daily Practice

Higher Plus

8th August 1971

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

1
Bounds3 marks
x = 131 and y = 73, 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 - 14.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 18. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. P is the midpoint. Write vector OP in terms of a and c.
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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