Daily Practice

Higher Plus

13th December 1981

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

1
Bounds3 marks
x = 120 and y = 48, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Simplify (x^2 - x - 42)/(x - 7).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of q and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 55 wins. How many games did they play?

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