The Math Guy

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 = ?

Wednesday, December 1, 2021

The 12 Days of Christmath: Day 1

I will be posting these puzzles over the next 12 school days: a primary, a junior and an intermediate one. I hope that you enjoy them!

Primary

There are 5 elves and 6 reindeer at the North Pole. How many legs are there?

Primary (French)

Il y a 5 lutins et 6 rennes au Pôle Nord. Combien y a-t-il des jambes?

Junior

There are some elves and reindeer at the North Pole. There are 82 legs and 30 heads. How many elves and how many reindeer are there?

Junior (French)

Il y a des lutins et des rennes au Pôle Nord. Il y a 82 jambes et 30 têtes. Combien y a-t-il des lutins et des rennes?

Intermediate

Christmas stamps cost $5 or $8. What is the largest value that cannot be made by combining any number of these two stamps?

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