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Starter #1
• Using only the numbers 1, 2 and 3,
make the numbers 1-10 using the following
available operations:
• +, -, x, /, ^ (“to the power of”)
• You must use all three
numbers each time
Starter #1
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Various answers eg
(1+2)/3
(3-2)+1
3/(1^2)
2^(3-1)
(3x2)-1
3x2x1
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(3x2)+1
(2x1)^3
(3x1)^2
3^2 + 1
Starter #2
• A sequence is generated by finding the unique
prime factors of 2n.
• For example, the 10th term would be the number
of unique prime factors of 2x10
• 2x10 = 20 = 5 x 2 x 2
• The unique prime factors of
20 are 5 and 2
• So the 10th term in the
sequence is 2.
• Find the first 5 terms.
Starter #2
• 1 1 2 1 2
Starter #3
• A cube has volume 64cm3
• What is the length of AB?
A
B
Starter #3
• 4Sqrt3
Starter #4
• Think of a value for each letter so that the
following are true:
1/a = a
2b < b
c2 < c
d3 < d < d2
Starter #4
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a=1
b is negative
c is between zero and one
d is less than -1
1/a = a
2b < b
c2 < c
d3 < d < d2
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