Daily Practice

Higher Plus

7th November 1965

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

1
Bounds3 marks
x = 195 and y = 114, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 75. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of a and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 77 wins. How many games did they play?

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