Daily Practice

Higher Plus

11th April 1965

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

1
Bounds3 marks
x = 30 and y = 5, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 4x + 9. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 48 wins. How many games did they play?

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