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WorksheetsTBS Maths Challenge Club - The Moscow Puzzles Quiz
Total questions: 10
Worksheet time: 3hrs 30mins
How many cats are in a small room if in each of the four corners a cat is sitting, and opposite each cat there sit 3 cats, and at each cat's tail a cat is sitting?
10 cats
12 cats
48 cats
4 cats
A man has to take a wolf, a goat, and some cabbage across a river. His rowboat has enough room for the man plus either the wolf or the goat or the cabbage. If he takes the cabbage with him, the wolf will eat the goat. If he takes the wolf, the goat will eat the cabbage. Only when the man is present are the goat and the cabbage safe from their enemies. All the same, the man carries wolf, goat, and cabbage across the river. How?
A wolf does not eat cabbage, so the crossing can start with the goat. Man leaves the goat at the other side, returns, collects the cabbage. On the other side he leaves the cabbage and returns with the goat. He leaves the goat on the first bank and takes the wolf across. He leaves the cabbage with the wolf and rows back alone. He then brings the goat across.
The wolf is the most dangerous animal so he should be taken across first. The man can then return for either the goat or the cabbage.
The cabbage should be taken across first so it is not eaten by the goat. The man can then return for the goat before it is eaten by the wolf. Then finally he can return for the wolf and hope he does not get eaten by it.
There are 8 balls in a long narrow chute. 4 black balls are on the left and 4 white ones, slightly larger, on the right (see picture). In the middle is a small niche that can hold 1 ball of either colour. The chutes right end has an opening large enough for a black but not a white ball.
Roll all the black balls out of the chute. (No, you can't pick them up).
Draw the correct series of diagrams on your table.
Click HERE when you have shown Miss Howell your solution.
Three matches are on a table. Without adding another, make 4 out of 3. You are not allowed to break the matches.
Bend one match so you can make a nice number 4 from the matches
Place the matches in a number 4 shape
Place matches in the following formation: I I I = 3, IV = 4
A nonstop train leaves Moscow for Leningrad at 60 miles per hour. Another non-stop train leaves Leningrad for Moscow at 40 miles per hour.
How far apart are the trains 1 hour before they pass each other?
120 miles
100 miles
20 miles
Not far off shore a ship stands with a rope ladder hanging over her side. The rope has 10 rungs. The distance between each rung is 12 inches. The lowest rung touches the water. The ocean is calm. Because of the incoming tide, the surface of the water rises 4 inches per hour. How soon will the water cover the third rung from the top rung of the rope ladder?
3 hours for each rung, so 9 hours for 3 rungs.
A tide cannot be incoming for enough time so it will not reach as high as the third rung. It will take 6 hours to reach the second rung.
The ship does not have a hole in, so does not sink so the rope ladder will never be covered.
A man phoned his daughter to ask her to buy a few things he needed for a trip. He told her she would find enough dollar bills for the purchases in an envelope on his desk. She found the envelope with 98 written on it.
In a store she bought $90 worth of things, but when it was time to pay she not only didn't have $8 left over but she was short.
By how much was she short and why?
Her father was wrong with the amount he had left. The amount he was wrong about is not possible to determine from the information given.
She was $4 short. She had read 86 upside down.
The 8 had smudged and become a 0. So she wasn't actually short but panicked in the shop because she didn't have the amount she thought.
A boy has as many sisters as brothers, but each sister has only half as many sisters as brothers.
How many brothers and sisters are there in the family?
2 brothers and 1 sister
3 brothers and 4 sisters
4 brothers and 3 sisters
A collective farm was due to deliver its quota of grain to the state authorities. The management of the kolkhoz decided the trucks should arrive in the city at exactly 11 am. If the trucks travelled at 30 miles per hour they would reach the city at ten an hour early, at 20 miles per hour they would arrive at noon, an hour late.
How far is kolkhoz from the city, and how fast should the trucks travel to arrive at 11 am?
50 miles and 25 miles per hour
120 miles and 24 miles per hour
200 miles and 25 miles per hour
A house has six stories, each the same height. How many times as long is the ascent to the sixth floor as the ascent to the third?
2
2.5
3
