In each of these sentences, can you replace the missing number.
The number is written as a word (e.g. five, twenty-four, thirty-three), and each sentence is correct after the replacement.
This sentence contains exactly ? E's and not one more. However, this sentence contains exactly ? S's, with a single Z. Finally, to finish, this sentence has exactly ? I's.
Answers This sentence contains exactly eight E's and not one more.However, this sentence contains exactly seven S's, with a single Z.Finally, to finish, this sentence has exactly six I's.
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Puzzle 2
Complete these three-letter words, the first letters form a word reading down, and the last letters form a word reading down.
The two words reading down are closely related:
- O -
- G -
- A -
Hint
What must the middle midday temperature be? Remember that the temperatures are in degrees Celsius.
Answer
The midday temperatures were -6, -2, 2, 6, 10 °C.
Each day the midday temperature increased by a steady 4 degrees.
Reasoning
As the temperature rose steadily each day, we know that the middle temperature (Day 3) was 2 degrees (because the average was 2 degrees).
Since Day 3 was 2 degrees, and there were two negative temperatures, we know that the daily increase must have been at least 3 degrees (otherwise Day 2 would not have been negative).
If we check a daily increase of 3 degrees, the sequence would be -4, -1, 2, 5, 8, but this doesn't work as the product is less than 500.
If we check a daily increase of 4 degrees, the sequence would be -6, -2, 2, 6, 10, which does match all of the requirements.
If we check a daily increase of 5 degrees, the sequence would be -8, -3, 2, 7, 12, but this doesn't work as the product is more than 2000.
Any larger increase makes the product even larger, so we can stop checking.
So the only possible answer is -6, -2, 2, 6, 10.
?
Puzzle 4
Unluckily, last week I lost my measuring tape. It was unlucky as I had to measure Billy's toy box.
Luckily though I could remember that the top had an area of 720 square inches, the side was 800 square inches, and the end was 360 square inches.