Daily Practice

Higher Plus

19th March 1979

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

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 18. Work out y when x = 3.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of a and q.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 18 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 3, 0.5. Which class contains the median?
5
Bounds3 marks
A block has mass 550 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.

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