Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th March 1995

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

1
Bounds3 marks
x = 86 and y = 19, 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 = 25 and y = x - 1 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of c and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 45 wins. How many games did they play?

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