Daily Practice

Higher Plus

3rd July 1955

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

1
Bounds3 marks
x = 82 and y = 68, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 3x - 8. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 20. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of a and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 5 wins. How many games did they play?

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