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Puzzles

16 December

Put the digits 1 to 9 (using each digit exactly once) in the boxes so that the sums are correct. The sums should be read left to right and top to bottom ignoring the usual order of operations. For example, 4+3×2 is 14, not 10. Today's number is the product of the numbers in the red boxes.
×+= 46
÷ + +
+÷= 1
÷ × ×
÷= 1
=
1
=
12
=
45

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Tags: number, grids

15 December

The number 2268 is equal to the product of a square number (whose last digit is not 0) and the same square number with its digits reversed: 36×63.
What is the smallest three-digit number that is equal to the product of a square number (whose last digit is not 0) and the same square number with its digits reversed?

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14 December

153 is 3375. The last 3 digits of 153 are 375.
What are the last 3 digits of 151234567890?

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13 December

Today's number is given in this crossnumber. No number in the completed grid starts with 0.

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12 December

Holly picks a three-digit number. She then makes a two-digit number by removing one of the digits. The sum of her two numbers is 309. What was Holly's original three-digit number?

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11 December

There are 6 sets of integers between 1 and 5 (inclusive) that contain an odd number of numbers whose median value is 3:
How many sets of integers between 1 and 11 (inclusive) are there that contain an odd number of numbers whose median value is 5?

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Tags: sets, medians

10 December

A number is a palindrome if it's the same when its digits are written in reverse order.
What is the sum of all the numbers between 10 and 100 that are palindromes?

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9 December

Put the digits 1 to 9 (using each digit exactly once) in the boxes so that the sums are correct. The sums should be read left to right and top to bottom ignoring the usual order of operations. For example, 4+3×2 is 14, not 10. Today's number is the product of the numbers in the red boxes.
+= 8
÷ ÷
+×= 9
× ÷ ÷
÷×= 9
=
12
=
1
=
3

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