Daily Practice

Higher Plus

6th June 1983

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

1
Bounds3 marks
A block has mass 830 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Inverse and Composite Functions3 marks
f(x) = 6x + 10. 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 = 25. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of q and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 11 wins. How many games did they play?

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