Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

20th June 2008

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 = 3, y = 36. Work out y when x = 9.
2
Vectors3 marks
a is the column vector (3, 3) and b is (-6, 1). Work out 4a - 4b as a column vector.
3
Probability Trees3 marks
6 of 8 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 beetle population of a woodland. State one assumption the method relies on.
5
Standard Form3 marks
Work out (42 x 10^10) / (7 x 10^3). Give your answer in standard form.

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