How many triangles are in this shape? (A Transum starter)

When you are absolutely sure you have counted them all, click here and press the yellow button to see if you are right.

To play this 2 player game from Transum you need to be able to calculate mean, median and range.

Number of players 2-4

Equipment. One pack of cards with picture cards removed.

Play

The black cards are positive numbers and the red cards are negative numbers. Ace is one. Each player is dealt 2 cards. Each player chooses  whether to accept a third card from the dealer. The object is to make the total of the cards in your hand as close to zero as possible. The hand shown on the right is +7.

Each round the winner scores zero and losing players score the difference of their hand from zero. The pictured hand would score 7 points.

Play continues until one player reaches 50 points. The winner is the player with the least points.

1.  Write down your house number.

2.  Double it.

3.  Add the number of days in a week.

4.  Multiply by 50.

6. Subtract the number of days in a year. (not a leap year)

Can you explain why this works?

Here is a Roulette Simulator. It’s just as much fun as being in a casino, but it is completely free so you are not throwing away your money! Have a few goes and see how quickly you lose your money!

http://roulette-simulator.info/simulator/index.php?mode=simple&lang=en&sess=1354491584KU4ALN9E

Why does the bank always win? Probability shows us that the odds are stacked against the gambler.

Let me explain.  Say we place a bet of £1 on Number 24. Assuming the roulette wheel is fair, there is one chance in 37 of this happening, because there are 37 different numbers on the roulette wheel. If you win, the bank pays you 35 times your bet. So if we do this 37 times we would expect to win once. We would lose £37 in bets and win back £36, so overall we lose £1!

A similar thing happens if you bet on pair (even) or impair (odd). Zero does not count as odd or even. So the probability of getting an even number is 18/37. The probability of an odd number is also 18/37. If you win the bank pays you the same amount as your bet. So if we play 37 times, each time betting £1, we would only expect to win 18 times. We would bet £37 and win £18 x 2 =£36, losing £1 overall.

Casinos make massive profits as they are always bound to win in the long run. True, very occasionally someone strikes lucky and has a big win, but the casino knows the odds are stacked in their favour.

Download, print and cut out the triangles. Work with a friend to try and match all the questions with the correct answers and make a shape

Imperial and Metric Jigsaw

Download, print and cut out the triangles. Work with a friend to try and match all the questions with the correct answers and make a shape

Decimal Calculations Jigsaw

Download, print and cut out the triangles. Work with a friend to try and match all the questions with the correct answers and make a shape.

Probability Level 2 Jigsaw

Download, print and cut out the triangles. Work with a friend to try and match all the questions with the correct answers and make a shape.

Probability Level 1 Jigsaw

Download, print and cut out the triangles. Work with a friend to try and match all the questions with the correct answers and make a shape.

Print out the jigsaw and cut out the triangles. Work with a friend to try to match all the questions with the answers.

Remember to find the mode look for the most frequently occuring data item. To find the mean add up all the data and divide by the number of data items.

Thanks to Mr Barton for the original jigsaw.

Download the pdf, print it and cut out the dominoes. Work with a friend to put them together correctly or play dominoes by sharing the dominoes and taking it in turns to place the next domino. If you can’t go the other player has another turn. The winner is the first to place all their dominoes correctly.

If you have never played cards before here is a magician showing you what they look like

You need to understand there are four suits, spades♠, hearts♥, diamonds♦ and clubs♣.
Spades and clubs are black, hearts and diamonds are red. There are 13 cards in each suit, so altogether there are 4×13=52 cards in a pack. Number one is called an Ace. They are then numbered up to 10. After 10 there is a Jack, Queen and King.These are called picture cards.

Thanks to Mr Barton Maths for this Jigsaw.

If you are struggling you can view the solution here.
Simple Probability Solution

This is a great little adventure game where you have to answer problems to explore the tunnels and earn money when you get them right. Some of the questions are GCSE standard but some are Entry Level. See how far you can get! Thanks to Transum Software.

Tran Tunnels

Here is a great website to learn how to make paper planes.

Why not organise a competition to see which type of plane flies the furthest? Collect data on the flight distances and work out the average distance flown. Does it make any difference if you use mean, median or mode? Work out the range in flight distances. What does this tell you? Which sort of plane is the best?

Download this pdf, print and cut out the triangles. Try to arrange all the triangles so that the questions match with the answers. If you get it right you should make a new shape.

If you need a reminder of how to work out probabilities, try this link.
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Thanks to Mr Barton for the original jigsaw.

If you are really stuck the solution is here.

This great free software enables you to create your own mathematical jigsaws or dominoes. You choose the shape (hexagon, rhombus, parallelogram, rectangle or even a parquet). You print off on card and laminate or just print on paper and cut up.

Just like Blue Peter here are some I made earlier.

Decimals Calculations Level 1

Calculations This is ideal for ESOL students revising words for the 4 rules.