Problems for mathematicians, young and old

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The Junior Mathematical Challenge is a minute, multiple-choice competition aimed at students across the UK. It encourages mathematical reasoning , precision of thought , and fluency in using basic mathematical techniques to solve interesting problems. The problems on the Junior Mathematical Challenge are designed to make students think. Most are accessible , yet still challenge those with more experience. The competition is aimed at students based in the UK.

Entries must be made by registered UKMT centres , not private tutors, individual students or their parents. We hope that taking part in the Junior Mathematical Challenge is a stimulating and rewarding experience for all students, whether or not they have prepared. We also sell downloadable past papers and books which can help students to prepare for our competitions. We played a game called 'Heads and Tails'. It has statistics and strategic themes, and sparked lots of competition within the group. We eventually whittled it down to just a few who did super-well!

We're all math'd out now, and the Professor's taking a rest at the Holiday Inn before his flight home tomorrow morning. This week we had some Mind Boggling puzzles and super fun games. These things can be so tricky that we had more than a few students asking "is this even possible?!?! They definitely are though. You just have to do a bit of 'Magical Maths' thinking. Here's the lowdown Mind Boggling Puzzles and Games Booklet.

Learning objectives : Solve problems to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. There is a VERY good reason why we call these mind boggling puzzles. The children solved problems which were capable of boggling even the most capable of minds. Hopefully they will boggle you with them too sorry in advance!

All students were given a booklet to take home. Noughts and Crosses. The group are split into two teams. One team are noughts and the other team are crosses. An imaginary 3 x 3 grid is set up using chairs.

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The aim of the game is to get three children from your team in a row vertically, horizontally or diagonally. Teams take it in turns to position one of their team using directional language. Puzzle Sheets. Learning objectives : Practicing addition, subtraction, multiplication and division.

Problems for Mathematicians Young and Old by Paul R. Halmos

A variety of puzzle sheets matching the mathematics national curriculum as do all of our activities including Follow the Trails, Number Name Crossword, Footprints, Number Crosswords, Spellutator and Magical Message, Addition up to 50 and how many fingers wordsearch. These puzzles are designed to make children think and develop their mathematical abilities while still having fun.

The Olympic Mathletes return to your school. We brought the parachute again, played magical ladders and took part in the Mathletes quiz. It was an amazing week! This week everything was sports related as we took our maths adventures to a whole new level! Our Olympic Mathletes came dressed in their sports gear I have to say they looked pretty good and were raring to go.

After making sure that we had warmed up properly this is what the children did:. Parachute Games. After hearing "parachute games", the children were very relieved to find out they weren't going to be jumping out of a plane this week our 'Magical Maths Plane' is still undergoing repairs Rather, they'd be holding an edge of our giant parachute and answering maths related questions. We have many activities that we play with this. The first is numbering the children with certain numbers these can be small if we want an easier game, or larger for a harder game.

We then ask the group questions, and if your number is the answer you must run under the parachute to the other side!

We then add in large foamy dice to make things more interesting, and play a 'number patterns' game where we number the children in a pattern, they close their eyes while one child goes under the parachute, and when they open them they decide as a group which number is missing. Great stuff! Magical Ladders. Learning objectives : Convert between different units of measure e. Read, write and convert time between analogue and digital 12 and hour clocks. Standing in two lines facing each other, the children are each assigned a number.

A question is called out and the children run down the line round the bottom, they then run up and round the top and back to their place. The winner gets a point for their team assuming the question is correct of course. Question of Sport Quiz. Learning objectives :. It was a tense game for each year group, but our final winners did mathemagically well.

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It was an absolutely cracking week this week. Only problem is, we're aching now A few cooling down stretches are in order I think. Yes the Mathemagician was here again for another fun packed week of magical maths.

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The Mathemagician enjoyed being creative and playing magical games with the children! The Magician Booklet.

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Learning objectives: The 11x table trick teaches children to multiply any 2-digit number by By year 3, pupils should be able to solve missing number problems, and by year 6, pupils should be able to use simple formulae, and express missing number problems algebraically. I'm sure they will show you the tricks tomorrow!

Addition Dice. Learning objectives : addition, subtraction, and place value to 4-digits. The second activity this week features our Magical Addition Dice. Speed of calculation is of the essence in this game. The children learned how to add five randomly-chosen three digit numbers in seconds. Stand up Bingo.

The children work together as a team and use their multiplication skills to play this game. They throw dice and teams take turns to multiply the numbers on the dice.

If resulting number is on their grid a child sits down. The game continues until all of the children in one of the teams are sitting down. This team is the winning team. Here's what the children learnt Stately Holmes is a distant relative of the great Sherlock, and has a reputation that's really building! Detective Training Booklet. Learning objectives : The dominoes trick involves practicing multiplication, addition, doubling and subtraction.

The recurring number trick involves practicing long multiplication. Key Stage twos did the detective training booklet with Stately. The first trick that Stately went through with the children was the 'Dominoes Trick'. Also in the booklet were Stately's Recurring Number Trick, which is equally cool. You can try these out with your children at home. Let us know how you find them!

The Magical Calculator - Helps you to read minds! The second activity our detective brought with him was 'the Magical Calculator'. This is genuinely really amazing! The Children were shown how to use it, and tried it on each other.

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It's well worth it! Hot Seat. Learning objectives:. By the end of:. Year 3. Year 4. Year 5. Year 6. Recognise the Place Value in:. A 3-digit number s, 10s, 1s. A 4-digit number 1,s, s, 10s and 1s. At least 1,, At least 10,, Our final activity this week was Hot Seat! A great team game that gets the children to practice place value. Every child in the teams are given a number, and the aim of the game is to make a bigger number than the other team. Well, what a great week it was! Professor Poopenshtinken wanted to come again in person when he heard that there was another club running at your school!

This time the Professor left in plenty of time in order to get a parking space outside the school apologies if he is in your spot. He was really excited to be heading back!

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He was wondering if he was going to see some of the pupils from last time or some bright new faces The Professor burst in the classroom to see all the pupils that had turned up for Magical Maths. Some were even more energetic than him! After a few ground rules like no pulling the Professor's hair we split the children into groups, keeping them roughly within their year groups and with children of similar ability.

These groups then rotated through our three cracking activities. Genius Training Booklet. Learning objectives: Develop recognition of patterns in the number system. Our Key Stage 2 children worked with the Professor and went through the genius training booklet. Students learned some of the Professor's techniques for multiplying any three digit number by 7, 11 and 13 really fast.

This trick is not the easiest, but is super effective when pulled off well. With a bit of practise your child will be the local genius in no time! Mental Logs. Learning objectives: Recognise the place value of each digit in a five-digit number 10,s, 1,s, s, 10s and 1s. Fizz Buzz! Use the vocabulary of prime numbers, and be able to establish whether a number up to is prime and recall prime numbers up to This is where we got all the children standing in a circle, going around the circle we counted as high as we could.

See you next week rumour has it our world class detective is coming to visit ,. This week was Mathletics week which meant our Olympic Mathletes were at your school. We had a parachute, some beach balls and even some football. It was an unbelievable week! Here's what the children did:. After hearing "parachute games", the children were very relieved to find out they weren't going to be jumping out of a plane this week.

Our 'Magical Maths Plane' is currently undergoing repairs We have quite a variety of activities to make sure they are appropriate for each year group. Beach Ball Maths. Standing in a circle, a beach ball is thrown into the air. Children must catch it, and then see where their thumbs land on the ball. There are different numbered regions on the ball, so the activity leader will then shout an instruction and the child must answer it. It could be as simple as "add your numbers together" or, it could be harder "multiply your numbers together, and subtract the number of legs on a cow" or, perhaps "subtract your numbers, and name a shape with that many sides" As always, questions are appropriate for all ages.

Reception children get more basic questions than the year twos, and Key Stage 2 get different questions again. We had a foot ball with this game today! The children have to split into pairs to play a football based board game against each other. They pick teams, roll the dice and have to solve the sum given to them in the top corner of their board.

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Each correct answer gets them closer to their opponent's goal Key Stage 2's must recall and use multiplication facts for the times tables up to 12x Week 5 Tuesday 4th July. This week we had some Mind Boggling puzzles and superfun games. Mind Boggling Puzzles Booklet. This week, the Key Stage twos did a puzzles booklet.