Daily Practice

Higher

29th December 1967

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

1
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 6, y = 54. Work out y when x = 10.
2
Vectors3 marks
a is the column vector (5, -1) and b is (2, 5). Work out 5a - 4b as a column vector.
3
Probability Trees3 marks
7 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
5
Standard Form3 marks
Work out (30 x 10^11) / (6 x 10^2). Give your answer in standard form.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1967, including the monthly compilation PDF.