Daily Practice · Higher

Daily Practice - Higher

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

17th December 1999

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 = 36. Work out y when x = 12.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 5 cm with an angle of 64° between them. Work out its area, to 1 decimal place.
3
Probability Trees3 marks
2 of 5 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
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?

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