Daily Practice

Higher Plus

17th December 1984

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 81.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = b. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of q and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 105 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 1, 3. Which class contains the median?
5
Bounds3 marks
A block has mass 750 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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