Daily Practice

Higher Plus

29th January 1956

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

1
Bounds3 marks
x = 73 and y = 16, 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 = 676 and y = x - 14 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of m and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 20 wins. How many games did they play?

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