Daily Practice

Higher Plus

10th April 1988

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

1
Bounds3 marks
x = 69 and y = 48, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 6x + 3 and g(x) = 6x - 5. Work out fg(5).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = a. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of c and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 12 wins. How many games did they play?

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