Daily Practice

Higher Plus

11th November 1970

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

1
Bounds3 marks
A rectangle is 13 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Inverse and Composite Functions3 marks
f(x) = 2x - 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 = b. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of p and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 9 wins. How many games did they play?

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