Daily Practice

Higher Plus

19th January 1975

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

1
Bounds3 marks
x = 149 and y = 98, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 7x + 2. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 48. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of p and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 15 wins. How many games did they play?

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