Divide 30 by half and add 10. What do you get?
Hint: Dividing by half isn't the same as halving.
Answer
70
Dividing 30 by 1/2 gives 60, and 60 + 10 = 70.
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Multiply me by any whole number from 1 to 100. Add up the digits of the answer, and keep adding digits until only one is left. You'll land back on me every single time. What number am I?
Hint: Try it with 2 times me, then 3 times me.
Answer
Nine
Every multiple of 9 has digits that add up to a multiple of 9, so repeated digit sums always end at 9. For example, 9 x 7 = 63 and 6 + 3 = 9.
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A farmer has 17 sheep. All but 9 run away. How many are left?
Hint: "All but" is the key.
Answer
Nine
"All but 9" means every sheep except nine ran off, so nine are left.
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How can you add eight 8s together to get exactly 1,000?
Hint: Some of the 8s can team up.
Answer
888 + 88 + 8 + 8 + 8
888 + 88 = 976, and adding three more 8s gives 1,000. That's eight 8s in total.
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Which three positive whole numbers give the same answer whether you add them or multiply them?
Hint: Start counting from one.
Answer
1, 2 and 3
1 + 2 + 3 = 6 and 1 × 2 × 3 = 6.
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A bat and a ball cost $1.10 together. The bat costs $1.00 more than the ball. How much does the ball cost?
Answer
5 cents
If the ball is $0.05, the bat is $1.05, and together they make $1.10.
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There are three apples and you take away two. How many apples do you have?
Hint: Who's holding them?
Answer
Two
You took two apples, so you have two.
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I'm an odd number. Take away one letter and I become even. What number am I?
Hint: Spell the numbers out.
Answer
Seven
Remove the S from "seven" and you get "even."
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Before Mount Everest was discovered, what was the tallest mountain in the world?
Hint: Discovery doesn't change height.
Answer
Mount Everest
Everest was still the tallest mountain even before anyone measured it.
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A plane crashes exactly on the border between the US and Canada. Where do they bury the survivors?
Hint: Who is still alive?
Answer
You don't bury survivors
Survivors are alive, so nobody buries them.
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What happens once in a minute, twice in a moment, and never in a thousand years?
Hint: Look at the spelling.
Answer
The letter M
"Minute" has one M, "moment" has two, and "a thousand years" has none.
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A mother has five daughters, and each daughter has one brother. How many children does she have?
Hint: The daughters share.
Answer
Six
All five daughters have the same brother, so there are five girls and one boy.
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