Daily Practice

Higher Plus

28th March 1983

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 x^3. When x = 4, y = 256. Work out y when x = 5.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of q and p.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 60 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 50 < x <= 60 has a frequency density of 0.4. How many values are in that class?
5
Bounds3 marks
A block has mass 320 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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