Daily Practice

Higher

9th April 1974

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 432 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 4 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
50 beetles are marked and released. Later 15 are caught, of which 5 are marked. Estimate the population.
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 16/x, work out y when x = 2, and write down the equation of its vertical asymptote.

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