The Math Guy: December 2021

Thursday, December 16, 2021

The 12 Days of Christmath: Day 12

Here are the Day 12 puzzles for the 12 Days of Christmath challenge. Enjoy!!

Primary

Fill in the grid so that each row, each column and each two-by-two square contains exactly one of each picture.

Primary (French)

Remplissez la grille pour que chaque rangée, chaque colonne et chaque carré 2X2 contienne exactement une de chaque image.

Junior

Intermediate

Wednesday, December 15, 2021

The 12 Days of Christmath: Day 11

Here are the Day 11 puzzles for the 12 Days of Christmath. Enjoy!

Primary

If one turkey is enough to feed ten people, how many turkeys will you need to feed 75 people?

Primary (French)

Une dinde peut nourrir dix personnes. Combien de dindes aurez-vous besoin pour nourrir 125 personnes?

Junior

Buddy can make 3 toys in 10 minutes. Jovie can make 9 toys in 15 minutes. How many toys can they make in 4 hours?

Junior (French)

Buddy peut fabriquer 3 jouets en 10 minutes. Jovie peut fabriquer 9 jouets en 15 minutes. Combien de jouets peuvent-ils fabriquer en 4 heures?

Intermediate

If 12 elves can make 12 presents in 36 minutes, how long will it take 4 elves to make 48 presents?

Tuesday, December 14, 2021

The 12 Days of Christmath: Day 10

Here are the Day 10 puzzles for the 12 Days of Christmath.

Enjoy!

Primary

There are 100 presents in Santa’s sleigh. 22 are wrapped in green paper. 39 are wrapped in blue paper. The rest are wrapped in red paper. How many are wrapped in red paper?

Primary (French)

Il y a 100 cadeaux dans le traîneau du Père Noël. 22 sont emballés dans du papier vert. 39 sont emballés dans du papier bleu. Le reste est emballé dans du papier rouge. Combien sont emballés dans du papier rouge?

Junior

A family of 7 have a large tin of Christmas candy. On the first day they eat a fifth of the candies. On the second day, they eat a fourth of what is left. On the third day, they eat a third of what is left. On the fourth day, they eat half of what is left. On the fifth day, there is enough for one candy for each person in the family. How many candies were in the tin to begin with?

Intermediate

A family have a large tin of Christmas candy. On the first day they eat a sixth of the candies. On the second day, they eat a fifth of what is left. On the third day, they eat a fourth of what is left. On the fourth day, they eat a third of what is left. On the fifth day, they eat half of what is left. On the sixth day, they eat what is left. Each day they eat the same amount. What they ate on the last day is 100 less than what was in the full tin. How many candies were in the tin to begin with?

Monday, December 13, 2021

The 12 Days of Christmath: Day 9

Here are the day 9 puzzles for the 12 Days of Christmath. Enjoy!

Primary

Use these clues to find the height of the Christmas tree. • It is less than 3 metres tall. • It is an odd number. • The product of all 3 digits is 24. • The sum of all 3 digits is 9.

Primary (French)

Utilise ces indices pour trouver la hauteur de l'arbre de Noël. 1. L'arbre est moins de trois mètres en hauteur. 2. C’est un nombre impair. 3. La produit de tout trois chiffres est 24. 4. La somme de tout trois chiffres est 9.

Junior

Use these clues to find the height of the Christmas tree. 1) It is less than 3 metres tall 2) Two of the digits are the same 3) It is an odd number. 4) The sum of all 3 digits is 12

Junior (French)

Utilise ces indices pour trouver la hauteur de l'arbre de Noël. 1. L'arbre est moins de trois mètres en hauteur. 2. C’est un nombre impair. 3. La produit de tout trois chiffres est 24. 4. La somme de tout trois chiffres est 9.

Intermediate

A tree with a snowman on top has a height that is 420 cm taller than a ball. A tree with a ball on top has a height that is 350cm taller than a snowman. What is the height of the tree?

Friday, December 10, 2021

The 12 Days of Christmath: Day 8

Here are the day 8 puzzles for the 12 Days of Christmath. Enjoy!

Primary

A 'Which One Doesn't Belong?' puzzle! Give a reason why each of the pictures above could be the odd one out?

Primary (French)

A 'Which One Doesn't Belong?' puzzle! Give a reason why each of the pictures above could be the odd one out?

Junior

A 'Which One Doesn't Belong?' puzzle! Give a reason why each of the pictures above could be the odd one out?

Junior (French)

A 'Which One Doesn't Belong?' puzzle! Give a reason why each of the pictures above could be the odd one out?

Intermediate

There is an 8 by 8 grid with 4 elves on the fourth row up in the fourth, fifth, sixth and seventh columns. Divide this grid into four pieces so that each piece is congruent and also contains one elf only.

Thursday, December 9, 2021

The 12 Days of Christmath: Day 7

Here are the Day 7 puzzles. Enjoy!

Primary

Arrange six pattern blocks to form a 12-pointed star: 2 equilateral triangles, 2 rhombuses, 2 trapeziums.

Primary (French)

Arrange six pattern blocks to form a 12-pointed star: 2 equilateral triangles, 2 rhombuses, 2 trapeziums.

An interactive version of the above puzzles can be found on this Mathigon Polypad page.

Junior

Santa’s nine reindeer (Dasher, Dancer, Prancer, Vixen, Comet, Cupid, Donner, Blitzen and Rudolph) have their own stables. Use these clues to find out which stable each reindeer is in. • Prancer is next to Comet. • Vixen’s stable number is half Dasher’s stable number. • The red-nosed reindeer is in the middle stable. • The three reindeer with the same initial are next to each other. • Comet and Cupid are as far apart as possible. • Donner is next to Rudolph.

Intermediate

Santa's nine reindeer ( Dasher, Dancer, Prancer, Vixen, Comet, Cupid, Donner, Blitzen and Rudolph) will play their favourite game (stable tennis!) and play each other once to see who is the North Pole champion. How many games will be played? What if there were 100 reindeer?

Wednesday, December 8, 2021

The 12 Days of Christmath: Day 6

Here are the day 6 puzzles for the 12 Days of Christmath challenge. Enjoy!

Primary

Santa has to put 36 presents into 4 sacks. Each sack must contain the same number of presents. How many presents will go into each sack? What about if he puts a different number of presents into each sack?

Primary (French)

Le Père Noël met 36 cadeaux dans 4 sacs. Chaque sac doit contenir le même nombre de cadeaux. Combien de cadeaux entrent dans chaque sac? Et s'il met un nombre différent de cadeaux dans chaque sac?

Junior

How can Santa put the presents into the four sacks so that each sack has the same mass? The presents weigh 6 kg, 8 kg, 9 kg, 27 kg, 36 kg, 39 kg, 42 kg, 45, kg, 54 kg, 58 kg.

Junior (French)

How can Santa put the presents into the four sacks so that each sack has the same mass? The presents weigh 6 kg, 8 kg, 9 kg, 27 kg, 36 kg, 39 kg, 42 kg, 45, kg, 54 kg, 58 kg.

Intermediate

A long box containing 40 Jaffa cakes measuring 76 cm by 6 cm by 6 cm. A short box containing 10 Jaffa cakes measuring 19cm by 6 cm by 6 cm. Find a better way of packaging the Jaffa Cakes.

Tuesday, December 7, 2021

The 12 Days of Christmath: Day 5

Here are the Day 5 puzzles for the 12 Days of Christmath. Enjoy!

Primary

Connect each pair of pictures using horizontal and vertical paths without crossing any other path.

Primary (French)

Connect each pair of pictures using horizontal and vertical paths without crossing any other path.

Junior

Connect each pair of pictures using horizontal and vertical paths without crossing any other path.

Junior (French)

Connect each pair of pictures using horizontal and vertical paths without crossing any other path.

Intermediate

Place the numbers 1 to 12 on the 12 points of a 12-pointed star so that the sum of each of the six lines is equal.

You can also try an interactive version of this puzzle
https://at this Mathigon Polypad link.

Monday, December 6, 2021

The 12 Days of Christmath: Day 4

Here are the day 4 puzzles for the 12 Days of Christmath challenge. Enjoy!

Primary:

Draw the next five lights: 1) blue, blue, green, blue, blue, green, blue, ... 2) red circle, green circle, blue square, blue square, red circle, green circle, blue square, blue square, red circle, ... 3) five red circles, four green circles, two red circles, ... 4) red circle, blue circle, red square, blue square, red square, blue circle, red circle, blue square, red square, blue square, ...

Primary (French)

Draw the next five lights: 1) blue, blue, green, blue, blue, green, blue, ... 2) red circle, green circle, blue square, blue square, red circle, green circle, blue square, blue square, red circle, ... 3) five red circles, four green circles, two red circles, ... 4) red circle, blue circle, red square, blue square, red square, blue circle, red circle, blue square, red square, blue square, ...

Junior

How many stars in the 100th term? Term 1: 3 stars Term 2: 6 stars Term 3 9 stars

Junior (French)

How many stars in the 100th term? Term 1: 3 stars Term 2: 6 stars Term 3 9 stars

Intermediate

Describe the 100th term and the nth term. Term 1: A row of 2 green stars, a row of one blue star, a row of two green stars Term 2: A row of 3 blue stars, a row of 2 green stars, a row of 3 blue stars Term 3: A row of 4 green stars, a row of 3 blue stars, a row of 4 green stars.

Friday, December 3, 2021

The 12 Days of Christmath Day 3

Here are the day 3 puzzles for the 12 Days of Christmath challenge. Enjoy!

Primary

There are 10 circles arranged in a triangle (a row of 1, a row of 2, a row of 3, a row of 4). Each circle is the sum of the two circles below it. the bottom row is an 8, a 7, a blank, a 9. The middle row is a blank, a blank, a 9. What number will go in the top circle?

Primary (French)

There are 10 circles arranged in a triangle (a row of 1, a row of 2, a row of 3, a row of 4). Each circle is the sum of the two circles below it. the bottom row is an 8, a 7, a blank, a 9. The middle row is a blank, a blank, a 9. What number will go in the top circle?

Junior

There are 10 circles arranged in a triangle (a row of 1, a row of 2, a row of 3, a row of 4). Each circle is the sum of the two circles below it. What four consecutive numbers go in the bottom row to get 206 in the top circle?

Junior (French)

There are 10 circles arranged in a triangle (a row of 1, a row of 2, a row of 3, a row of 4). Each circle is the sum of the two circles below it. What four consecutive numbers go in the bottom row to get 206 in the top circle?

Intermediate

There are 10 circles arranged in a triangle (a row of 1, a row of 2, a row of 3, a row of 4). Each circle is the sum of the two circles below it. What four prime numbers go in the bottom row to get 139 in the top circle?

Thursday, December 2, 2021

The 12 Days of Christmath: Day 2

Here are the Day 2 puzzles for the 12 Days of Christmath. Enjoy!

Primary

If a green ball is 7, a bell is 5 and an ornament is 3, show me different ways of getting 15.

Primary (French)

If a green ball is 7, a bell is 5 and an ornament is 3, show me different ways of getting 15.

Junior

There are 4 equations using pictures which can be written as: a * 2b + c = 76 a + c = 27 c - a = 13 a + b + c = ?

Intermediate

There are four equations using pictures which can be written as follows: a * 2b + c = 38 a - c = 32 c + a = 8 a + b + c = ?

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