https://nrich.maths.org/content/id/6288/CopsAndRobbers.swf

LE SPORT21 children on a school holiday in France are given ‘free time’ on their last afternoon. Their hotel has tennis courts and a swimming pool. Here are some facts about what they choose to do: - The number of children who swim and play tennis during the afternoon is exactly the same as the number of children who do neither of these things.
- 9 children swim but don't play tennis
- The number of children who play tennis but don’t swim is exactly the same as the number of children who do both of these things.
Using a Venn Diagram to help you, work out how many of the children do both activities. Only 3of you tried this challenge: Sania, Destiny and Cristo. Well done Destiny for getting the correct answer. The answer is: 4 chose TENNIS, 9 chose SWIMMING, 4 chose both TENNIS and SWIMMING. 4 children chose neither activity On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico, who first discovered the planet, saw a crowd of Zios and Zepts. He managed to see that there was more than one of each kind of creature before they saw him. Suddenly they all rolled over onto their backs and put their legs in the air. He counted 52 legs. How many Zios and how many Zepts were there? Do you think there are any different answers? There were several possible solutions to this challenge:
1. ZEPTS: 1 ZIOS: 15 2. ZEPTS:7 ZIOS:1 3. ZEPTS: 4 ZIOS: 8 Well done to Sania and Shaun for their correct answers. One of 36 Only 2 people handed in this challenge. Well done to Lei , Nkoni and Olivia for having a go. Olivia was the only one with the correct answer of 27
Mum and her four children live with Gran at 13 Drywater Street.
One day, Charlie, who is the third child, asked, "Gran, how old are you?" Gran answered, "My Grandmother would have said 'As old as my tongue and a little older than my teeth!' but I will tell you how to work out my age." "If you multiply Mum's age with your age and with the ages of your brother and sisters you will get the answer 111111. If you add Mum's age along with the ages of all you four children the total will be my age." Charlie worked this out very quickly, because he knew his Mum's age, his age and the ages of his brother and sisters. "Oh Gran!" he called as he ran off to play outside, "You are old!" How old was his Gran? Answer: Gran is 71. Well done Nkoni and Sania for getting this correct. Watch the video BryonyTriangle.mp4 in which Bryony demonstrates how to make a flower from a square of paper. (If you can't see the control bar, zoom out in your browser.) She then sets you a challenge: what fraction of the original square of paper is the shaded triangle? The correct answer is 32. Here is a picture to illustrate how the answer could be found. Well to to Nkoni for getting this correct and Shaun for having a go. Peaches Today, Peaches Tomorrow....(i) A little monkey had 60 peaches. On the first day he decided to keep 3/4 of his peaches. He gave the rest away. Then he ate one. On the second day he decided to keep 7/11 of his peaches. He gave the rest away. Then he ate one. On the third day he decided to keep 5/9 of his peaches. He gave the rest away. Then he ate one. On the fourth day he decided to keep 2/7 of his peaches. He gave the rest away. Then he ate one. On the fifth day he decided to keep 2/3 of his peaches. He gave the rest away. Then he ate one. How many did he have left at the end? This was a tricky one. There was only 1 peach left. Well done to Nkoni and Sania for getting this correct! Only 3 people attempted this problem- Sania, Nkoni and Shaun.
Sania and Nkoni had the correct solution. The answers were 123654 , 321654 and 132654 (I am not sure if there are other solutions). Amy has a box containing ordinary domino pieces but she does not think it is a complete set. She has 24 dominoes in her box and there are 125 spots on them altogether. Which of her domino pieces are missing? The following people are correct: Cristo, Sania, Lei, Joshua, Shaun and Nkoni Aarav, Olivia and Alisa were nearly there! Lei, Shaun and Sania had great explanations: Well done to Shaun and Sania for getting the correct answer
Here is one solution: I found out that I could make a square with three sections at each side. I also found out that I could make three different triangles: an isoscelos triangle 2along the bottom and 5 up each side, a right angled which had 3 along the bottom, 4 up one side and 5 on the other side and an equilateral with all three sides the same. I could also make two different rectangles, like this: 5,1,5,1 or 4,2,4,2. |
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