Insects in a colony
The number of insects in a colony doubles each week. If there were 100 insects in the colony at the start of the first week: 1) How many would there be after 6 weeks?
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Tournament Table
In a scrabble tournament, players score 5 points for a win, 3 points for a draw and get 0 points if they lose. Part way through the tournament four of the players taking part, players, A, B, C and D, have played different numbers of games and have all lost at least one game. Note that there are other players playing in the tournament whose results are not listed here. Fill out the table out.
Factorial
The notation 4! is used as an abbreviation for the product 4 x 3 x 2 x 1 so that 4! = 24. Similarly, 9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880. Work out the value of: 1)3! 2)7!
How many cubes?
How many 3cm cubes can be made by cutting up a cuboid measuring 12 cm by 24 cm by 18 cm?
Ages
“David is 11”, said Anne. “I am 13”, said David. “David is older than me”, said Meera. Anne sometimes tells the truth, Meera always tells the truth and David never tells the truth. One of them is 11, another 12 and the other 13. a) How old is David? c) How old is Meera? d) How old is Anne
Theme Park Prices
The entry prices at a theme park are: Adults £20.00 & Children £15.00. A group visited the theme park and were charged £105.00. How many adults & children were in the party. There was at least one adult.
Hours of sleep
Some people use this rule to work out how many hours’ sleep each night young children need. Subtract the child’s age in years from 30, then divide the result by 2 Sanjay is 8 years old. Use the rule to work out how many hours’ sleep he needs.
Speed
James cycles 4000m at 10 metres per second. Tom takes 100 seconds more to cycle the same distance. At what speed does Tom cycle?
Surface Area
In the picture below is the net of a cube. What would be the total surface area of the outside of the cube when the net is made into the cube?