Daily Practice · Higher Plus

Daily Practice - Higher Plus

13th June 1993

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

1
Bounds3 marks
x = 91 and y = 20, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Write 5/(x - 3) + 6/(x + 5) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 72. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of a and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 24 wins. How many games did they play?

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