Daily Practice

Higher Plus

18th November 1963

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

1
Bounds3 marks
A block has mass 600 g (to the nearest 10 g) and volume 25 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 - 11. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 144. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. X is the midpoint. Write vector OX in terms of b and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 42 wins. How many games did they play?

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