Hint
What must the middle temperature be? Remember that the temperature are in degrees Celsius.
Answer
The temperatures were -6, -2, 2, 6, 10 °C.
Each day 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 matches 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.
Freddie was in love with three girls. He couldn't decide who he wanted to give his heart to, so he sent all three a Valentine's card. But poor Freddie was out of luck, as each girl thought the card came from someone else and Freddie was left on the sideline.
From the clues below, can you work out the name of each potential sweetheart, the colour of each card Freddie sent and the name of the boy each girl believed the card was sent by?
Unluckily for Freddie, when Miss Jetson received her card, she thought it was from Adam. When Molly received her blue coloured card, she told Miss Hanson, and together they worked out who the card was from. It didn't occur to either of them that it was from Freddie! The girl who received the red card was convinced it came from Ethan. Neither Millie nor Miss Motson received a pink card.
First Names: Lily, Millie, Molly
Surnames : Hanson, Jetson, Motson
Colours : Blue, pink, red
Boys : Adam, Dylan, Ethan
Hint
Start by using (2) and (4) to find who received the pink card.
Answer
Lily Jetson Pink Adam
Millie Hanson Red Ethan
Molly Motson Blue Dylan
Reasoning
By (2), Molly received the Blue card:
Lily
Millie
Molly Blue
We now know that Molly didn't receive the Pink card, and by (4), neither did Millie, which means that Lily received the Pink card (and Millie received the Red):
Lily Pink
Millie Red
Molly Blue
By (4), the two girls who didn't receive the Pink card are Millie and Miss Motson, and we already know that Millie and Molly didn't receive the Pink Card, which means that Molly is Miss Motson.
Lily Pink
Millie Red
Molly Motson Blue
By (3), the Red card was thought to have come from Ethan:
Lily Pink
Millie Red Ethan
Molly Motson Blue
By (1), Miss Jetson's card was thought to have come from Adam, this can't be Molly (Motson), nor Millie (Ethan). So it must be Lily Jetson:
Lily Jetson Pink Adam
Millie Red Ethan
Molly Motson Blue
The puzzle can now be completed:
Lily Jetson Pink Adam
Millie Hanson Red Ethan
Molly Motson Blue Dylan
?
Puzzle 3
Add lines to this grid and create five areas that each have 4 letters, to spell five 4-letter words.
