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1. The smallest possible sum picking 2 different numbers below
Pick 1 + 2
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2. The number of faces of a tetrahedron.
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3. How many more sides a decagon has than a heptagon.
Decagon = 10 sides, heptagon = 7 sides. Also known as a septagon.
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4. How many prime numbers there are between 20 and 30.
23 and 29.
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5. Halving this number results in the same result as if you had square rooted it.
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6. Makes the biggest number if you divide 1 by it.
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7. Cannot be joined with another one of the numbers available to make a 2 digit multiple of 3.
1 can make 12, 2 can make 24, 4 you can make 42. 3 doesn't work. (31, 32, 34, 13, 23, 34, are not multiples of 3 - question states 'another' so cannot pick 33.)
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8. The highest common factor of 38 and 42.
4 does not go into 38 or 42.
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9. Which number below would be part of the next term in the pattern: Tonne, network, flour, ...
tONnE, neTWOrk, FlOUR - so next one would be three, for example THREatEn.
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10. Jerry says the answer is 1 or 2.
Kerry says it is 1 or 3.
Larry says it is 2 or 4.
Mary says that Larry is wrong.
Only one person is correct. What is the number?
If only one person is correct then the number cannot be 1 or 2, as it would lead to 2 people being correct. If it is 3 Kerry is right and Larry is wrong, which means Mary is also right. So it has to be 4.
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11. 8 squared is the same as 4 to the power of...
4 x 4 x 4 = 64
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12. The ratio of people to sheep in a town is 10:3. The ratio of sheep to horses is 6:5.
The ratio of people to horses is n:1, where n is...
People : sheep : horses = 20 : 6 : 5
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13. The area of the triangle whose height is the smallest square number, and base is the second smallest square number.
1 and 4.
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14. The maximum number of multiples of 3 that could be in the same '10's' (E.g. in the range 10-20, or 20-30, so on...)
30, 33, 36, 39 e.g.
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15. The lengths of a square are all doubled, its area is multiplied by...