Daily Practice

Higher

12th March 1954

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 7, y = 14. Work out y when x = 10.
2
Vectors3 marks
a is the column vector (-2, -2) and b is (-3, 2). Work out 5a - 3b as a column vector.
3
Probability Trees3 marks
8 of 10 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 fish population of a pond. State one assumption the method relies on.
5
Standard Form2 marks
Work out (5 x 10^4) x (8 x 10^-2). Give your answer in standard form.

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