Daily Practice · Higher Plus

Daily Practice - Higher Plus

15th March 1993

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

1
Bounds3 marks
A block has mass 210 g (to the nearest 10 g) and volume 19 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) = 7x - 4. 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 = 128. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of b and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 55 wins. How many games did they play?

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