Puzzle-a-Week-Archive

We publish here an archive of the weekly puzzles on http://www.pinworld.co .There is a fun-fact and then some Maths questions around that fact. We hope the kids enjoy browsing through them. Subscribe to our newsletter by clicking here

Week 1 Algebra
Week 2 Measurement
Week 3 Maths Party Games
Week 4 Jar of marbles
Week 5 Rainbow
Week 6 Patterns
Week 7 Moon and the stars
Week 8 Beach
Week 9 Pets
Week 10 Maze Mystery
Week 11 Dinosaurs
Week 12 Survey
Week 13 Busy Bees
Week 14 Diwali
Week 15 Soccer Balls
Week 16 Buses
Week 17 Dragons
Week 18 Legos
Week 19 Symbols
Week 20 Piece of Pie
Week 21 Number Trivia
Week 22 Solar System
Week 23 Leap days
Week 24 Birthdays
Week 25 Pi Day
Week 26 People vs Vehicles

Week 1 Algebra

Algebra

PlusMinusTimesDivide
In a branch of Maths called algebra letters are sometimes used to represent numbers. This is an useful trick to help us solve values when we are not sure about them.

Pre-Schoolers (4-6 year)
1) If A=1 , B=2 , C=3 …which alphabet is 10 ?
2) Whats the value of K ?

For Middle-Troopers (6-10 year)
3) Whats the number value of your name?
4) Can you find any other name with the same number value?

Go-Getters (10-14 year)
5) At a party, everyone shook hands with everybody else. There were 45 handshakes. How many people were at the party?

Answers:
1) J=10 , 2) K=11, 3) Example : JOHN = 10+ 15 + 8 + 14 =  47, 4) EXAMPLE = SUE = 19 + 21 +5 = 47 , 5) Total number of handshakes = n(n-1)/2 . Solving further, n = 10
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Week 2 Measurement

Measurement

measurement

Imagine a friend telling you “My table is 5 long”. What does that mean…..5 what? What is missing from the sentence? Some unit of measurements. Then again imagine him telling you “My table is 5 hands long” – what is wrong with THAT sentence? Size of a hand can vary…from person to person…so we need a STANDARD unit of measurement that doesn’t change.
We can have pounds/kgs as an unit to measure weight, kms/metres to measure distance,other units to measure other variables. We can also have units likes km/hour or price/kg to measure a quantity relative to another one. You can often convert from one unit to the other , following some rules.

 Preschoolers  (4-6 years)
Q1) If you stand on a weighing scale, which unit would you expect to see the results in?
Q2) If you are using a measuring cup which unit would you use to measure the liquid?

Middle troopers (7-10 years)
Q3) 1 litre is 4 cups of water. Mary has 4 litres of water…how many cups of water does she have?

Go-getters (11-14 years)
This is the formulae to convert Fahrenheit to Celsius

° C x 9/5 + 32 = ° F
(° F – 32) x 5/9 = ° C

Q4) Convert 37 C to Fahrenheit
Answer : 1) Kgs/pounds, 2) litres, 3) 16 cups, 4) 98.6
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Week 3 Maths Party Games

Maths Party Games

mystery numbers It can be a pretty cool trick to have some mystery numbers up your sleeves. It is not just a good way to learn and engage with maths but also a good way to impress friends!Lets play the “Mystery Numbers Game”

Pre-schoolers: (4-6 years)
1) I am bigger then 5 but smaller then 10. I am the same as the number of colours in a rainbow. Who am I?
2) I am one of the numbers on a clock, I am same as the number of months in a year. Who am I?

Middle-troopers: (7-10 years)
3) I am the biggest number that exists….who am I?
4) Which numbers are 1/2 a dozen, a decade, one century?

Go-getters:(11-14 years)
5) Which number represents the value of pi?
6) Take a number, any number. Add 5 , multiply by 10, subtract 50. Now what do you need to do to get the original number back?
Answers : 1) 7, 2) 12, 3) infinity, 4) 6,10,100 , 5) 22/7, 6) Divide by 10
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Week 4 Jar of Marbles

A Jar of Marbles

Jar of MarblesHappily atleast some of the fun things in life come free ( or almost free, heh-heh)…like a jar of marbles – a fun toy which won’t break the bank. Growing up I loved to play with marbles ……a jar of marbles can be a fun yet educational way to spend some time with kids…here are some nice questions for the lil ones.

Pre-Schoolers : 4-6 year olds
1) If I have a jar with 2 marbles and my friend puts in 2 more, and my baby sister takes out one…how many are left?
2) You have 10 marbles in the jar. if you count in pairs of 2, how many pairs do you have ?

Middle-Troopers: 7-10 year olds
3) You have 100 marbles in the jar. You take out 10 the first time, 34 the next time, 16 the third time. How many are left?
4) There are 75 marbles in the jar. If you take out 5 at a time, how many times do you need to scoop out?

Go-Getters 11-14:
5) The probability of picking a black marble from a jar containing 70 marbles is ½. How many black marbles are there in the jar?
Answers :1) 2+2-1=3, 2)5 pairs, 3) 40, 4) 15, 5) 35
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Week 5 Rainbow

Rainbow Magic

Rainbow
All kids love rainbows ! And adults too…I guess ! Rainbows get created when sunbeams hit water droplets at certain angles making the light separate into different colors. You can have a lot of fun “making” rainbows at home with a little bit of home-science. . easiest way is to use prisms on a sunny day.

Preschoolers :4-6 year olds
1) A rainbow has 7 colors…red,green,blue, yellow,orange,violet,indigo..can you find something in your house of each color and line them up !
2) Lets say you can add 3 colors to the rainbow how many colors would you have then? What if you had to take away 3 colors?

Middle Troopers: 7-10 years
3) If Mary saw 21 colors in the sequence, how many rainbows did she see?
4) George had 10 chocolate-chip cookies. He is allowed to eat cookies only when a is there in the sky. He eats 1 cookie every minute. The rainbow was there for 5 minutes. how many cookies are left?

Go-Getters: 11-14 years
5) A box has 7 balls each of one color of the rainbow. Ala closes her eyes and draws out one ball. What is the probability of getting red?
Answers : 1) Hope you had fun doing this , 2) 10,4 3) 3 rainbows , 4) 5, 5) 1/7
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Week 6 Patterns

Patterns

IMG_1674 We can see patterns everywhere around us …pattern just means a sequence of events repeating in a cycle, for eg you eating an ice-cream daily after dinner is a pattern as well !
Today we will talk about number patterns or sequences which means a string of numbers where each member can be derived from some rule. Examples are 1,3,5..( alternate numbers starting from 1, or odd numbers) or 0,5,10,15 ( previous number + 5).
One of the most famous of these sequences is easily the “Fibonacci” Series…
0,1,1,2,3,5……
Can you guess how the sequence works? Each successive number is formed by adding the previous two numbers….example 0+1 =1 , 1+1=2 and so on.
This has a lot of applications in nature, in science and ofcourse in maths.

Preschoolers: 4-6 year olds
1)Guess the next number in the sequence…0,1,1,2,3,5….
Hint = the next number is : 5+ 3

Middle troopers: 7-10 year olds
2)Take any two successive numbers from the Fibonacci series…whats the ratio you get

Go-Getters 11-14 year olds
3)Tell me the 15th and 20th number of Fibonacci series.

Ans 1) 8, 2) 1.6, 3) 15th term : 610, 20th term : 6765
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Week 7 moon and the stars

Moon and the Stars

Moon and stars

Though you can’t always see the moon and stars in polluted skies but it certainly looks pretty when you can ! Have you ever wondered why the moon shines or where it gets it light from? No, the moon does not have any light of its own…it simply reflects the light of the sun. The moon is a “sphere” that travels around the earth once every month (approximately). We see different “phases” of the moon as its lit up from different angles by the sun.

Preschoolers 4-6 year olds

1) Name two “spheres” you can see around the house or at school.
2) Earth (where we live) has 1 moon but Venus has 1 moon lesser and Neptune has 7 more moons then Earth. How many moons does Venus and Neptune each have?

Middle-troopers 7-10 year olds

3) If I say the moon takes 28 days to orbit the Earth, how many times does the moon orbit the Earth in a year?

Go-getters 11-14 year olds:
4) The Moon has much weaker gravity than Earth, due to its smaller mass, so you would weigh about one sixth (16.5%) of your weight on Earth. If your weight is 5 kg on moon, what is it on Earth? If your weight is 54 kgs on Earth, what is it on Moon?
Answers: 1) orange, basketball, globe, 2) Venus has 0 moons. Neptune has 8 moons.
3) 365/28 = 13 times (approx), 4)  30kgs, 9 kgs.
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Week 8 Beach

BeachThis post inspired by summers creeping away ! It’s the last call for some fun with the sand and sun ; and while you head for the beach,with your dolly and a lolly, don’t forgey to carry the “Beach  Puzzles”

Preschoolers: 4-6 year olds
1) If you are going to the beach with your mummy, papa and 2 friends-how many of you are there? What if your two friends leave?
2) Your mum had one ice-cream, papa had 2 ice-creams and you and your friends had 3 ice-creams each. How many ice-creams do you need to pay for?

For Middle Troopers : 7-10 year olds
3 kids had a good beach day. They each saw a different animal, each did a different activity and they all came with a different person.

Child: Kevin, Vedika, Ryan
Animal: Dolphin, Crab, Fish
Activity: Sandcastle, swimming, soccer
Person: Mom, Dad,Aunty
1) The Kid who saw Dolphin also came with aunty
2) Ryan saw Fish
3) Vedika came with her mom
4) The kid who did swimming did it with his dad.
5)Kevin played soccer

Question: Kevin saw which animal?
Vedika did which activity?
Ryan came with whom?

For Go-Getters 11-14 year olds
You go to the beach with two buckets: 5 gallon and 3 gallon – your friend wants 4 gallons of sand – how will you get it?

Answers: 1) 5 ( did you count yourself?) 3 ; 2) 12 ice-creams 3) Dolphin, Sandcastle, Dad 4) Fill the 5 gallon bucket, empty 3 gallons in the 3 gallon bucket. Throw out the 2 gallons. Transfer the 3 gallon in the 5 gallon bucket. Fill the 3 gallon bucket. Transfer to the 5 gallon bucket, till its full – you will be left with 1 gallon. Now empty the 5 gallon bucket again and transfer the 1 gallon there. Fill the 3 gallon bucket and transfer to the 5 gallon bucket. You finally have 4 gallons now !

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Week 9 Pets

Our homes might not always have a lot of space to afford pets…but am sure all kids (and maybe adults too) would love to have pets at some points of puppiestime. Fishes,hamsters , kittens….and just think of cute little puppies awwwww. They say dog is man’s best friend…then puppies are surely a kid’s best friends?

Pre-schoolers 4-6 years

1) Can you count how many eyes, noses and ears are there in the picture?
2) Are the total number of noses more compared to total number of eyes? What about number of ears compared to number of eyes- same, more or less?

 Middle troopers 7-10 years
3) Can you express as a fraction – ratio of sum of noses to sum of eyes ?

For Go getters 11-14 years
4) Which fraction is bigger: (Sum of noses)/( sum of eyes) OR  (Sum of noses)/(Sum of legs) ? What if I add one more puppy to the picture?

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Week 10 Maze Mystery

Maze Mystery

A Maze is a multi-branched road with the entrance leading a confusing way to the exit (or destination within). Mazes have been used for various purposes…religious/philosophical/ mathematics, and sometimes just as a refreshing challenge! It can be a lot of fun to play with mazes and a good educational tool to hone analaytical skills.

Mazes can be made with hedges/bricks and stones, mirrors and with a pencil and paper.HK Science Mueseum has a maze of mirrors which can be a lot of fun to visit.

Exercise for all kids : Make your own Maze : Take a paper and pencil and make a shape – any shape- you like – could be a square /a circle / rectangle / triangle. Leave an entrance and an exit. Mark it start and end to be clear. Draw a lot of lines, dead-ends, arrows and create your maze!!

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Week 11 Dinosaurs

Dinosaurs !

The name dinosaur comes from Greek language and means ‘frigheningly big lizard’. The word was coined by English paleontologist Richard Owen in 1842. Like modern day birds and reptiles, baby dinosaurs hatched from eggs. Dinosaur eggs came in all shapes and sizes. In fact, some of the largest dinosaurs laid eggs weighing nearly five kilograms!

Pre-Schoolers (4-6 years)

Q1) If you have five dinosaur eggs and give one to your best friend who swaps it with a baseball card, give one to your granny who gives you a big hug, how many dino-eggs are you left with?

For Middle Troopers (7-10 years)

Q2) It’s your birthday and you want to weight yourself in dinosaur eggs. Your weight is 25 kgs and each dino-egg is 5 kg. How many dino-eggs do you need to match your weight?

For Go-Getters (11-14 years)

Q3You have two dino-eggs and 5 rocks in a basket. You close your eyes and pick out one object. What’s the probability of getting a dino egg?

Answers: 1) 3 eggs, 2) 5 eggs 3) 2/5

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Week 12 Survey

Surveys !
Drink Survey 1

We went to a friends place for dinner last week-end and she had her 6 year old carry out a “Drinks-Survey” – make a graph of which drink was taken by how many guests. What a fun and educational idea for your summer parties ! Help the wee ones make a chart like in the picture, and make the bigger ones graph it out ! Look at the picture above :

For the pre-schoolers: 4-6 years
Q1) How many guests took wine?
Q2) How many guests took Water? Which was the most popular drink?

For the middle troopers 7-10 years
Q3) What percentage of people took soda?

For the Go-getters 11-14 years
Q4) Can you make a graph showing which drink was taken by how many people? You can choose a bar-graph or a pie chart and submit ( send photo to info@pinworld.co with subject : PUZZLE-A-WEEK)

Answers : 1) 2 guests, 2) 1 guest, wine ,3) 20%

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Week 13 Busy Bees

Busy as Bees

honey-bee

There is a reason why people say “Busy as bees”. http://www.hkhoney.org/honey_bees.html says “The honey bee is the most industrious and resourceful insect in the world. They make honey, beeswax, royal jelly, collect flower pollen and also help pollinate many vegetables, herbs and fruits trees.” Wow!

For the pre-schoolers (4-6 year olds)
Q1)You have 4 bottles of honey that your mum gave you as a gift. You give away 2 to your friend. You broke one bottle by accident. How many do you have now?

For the Middle Troopers:
Q2) 1 bee produces 1/10 spoon of honey. How many bees are needed to make one spoon of honey?

For the go-getters (11-14 year olds)
Q3) let’s say a hive has 20,000 bees. Every day there are 1000 eggs laid, and 500 existing bees die. How many bees are there after 1 week?

Answers : 1) 1 bottle, 2) 10 spoons, 3) 23,500

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Week 14 Diwali

Diwali and Diyas

Diwali is a festival of lights where Hindus celebrate the victory of good over evil, knowledge over ignorance and light over darkness. Did you know Diwali literally means a queue of diyas or small earthen clay lamps like in the picture below?

Diya

For the Pre-schoolers (4-6 year olds)
Q1) Ryan has 10 diyas while David has 6. Who has more? Their friend Deeva comes with 5 more diyas – how many in all now?

For Middle-Troopers (7-10 year olds)
Q2) There are 5 families with 3 children each and each child lights 10 diyas. How many diyas got lit in all?

For the Go Getters (11-14 year olds)
Q3) Its 6 am in the morning and you get up to be told you have to light one diya every hour till 12 pm and 2 diyas every hour till 6pm. How many diyas do you light in all?

Answers : 1) Ryan has more. 21 diyas in all 2) 150 diyas 3) 18 diyas

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Week 15 Soccer Balls

Soccer Balls

soccer ball

I was recently trying to make soccer ball cake pops for my daughter’s “Sports Birthday Party” and realized that soccer balls have a lot of Maths in them! There are 12 black pentagons and 20 white hexagons and of-course the pentagons can’t touch each other! Hmm that’s a lot of names, shapes and an unique design!

For the Pre-schoolers: 4-6 year olds

Q1) Can you count and say how many sides a pentagon and a hexagon have?
Q2) Is the soccer ball a circle or a sphere?

For the Middle Troopers: 7-10 year olds

Q3) How many hexagons is each pentagon surrounded by?
Q4) If you have three soccer balls how many pentagons and hexagons will you have in total?

For the Go-Getters: 11-14 year olds

Q5)You are five friends playing soccer. Each of you kicks the ball in the air three times on the knee and three times with toes and one time a head-butt. How many times did the ball go in the air?

Answers 1) 5,6 2) sphere 3) 5, 4) 36,60, 5) 35 times

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Week 16 Buses

Buses !

HK bus

This week’s puzzle a week is dedicated to a very cute little boy who pointed out to me that big buses in HK have 6 wheels while mini buses have only 4! Bang on! And can you guess why? Bus-service started in HK since 1920’s and there were actually 4 people in one bus back then – one driver, two to collect the fare and one to manually open/close the door ! We have come a long way since then – can you guess how the bus door opens now? And fun fact for the day: HK even had a trial run of electric buses recently.

For the pre-schoolers (4-6 years)
Q1) How many wheels do a mini bus and a big bus together have?

For the Middle Troopers (7-10 years)
Q2)If we have 5 big buses and 2 mini buses, how many wheels in total?

For the go-getters
Q3)We have 10 children in the bus and each has a bag with two apples. Each apple has three worms on it (yuck) and each worm has 10 legs. Now, how many worm legs are there on the bus?

Answers: 1) 10 wheels, 2) 38 wheels 3) 600 legs

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Week 17 Dragons

Dragons !

chinese-dragon-2
Dragon is an ancient symbol of power and glory in many cultures: you can find dragons in Chinese, European and American traditions. Dragons can fly, breathe fire and are also looked on as an ancient connection with nature. In china placement of dragons in appropriate places can be part of “feng-shui”. Can you find anything common between dinosaurs and dragons? Maybe dragons are predecessors of the dinosaurs? And here’s your fun fact of the day – there’s a hike called Dragon’s Back in Hong Kong, which is named so because the trail runs up and down, much like an actual dragon’s back!

For the pre-schoolers(4-6 years)

Q1) Can you finish these patterns:

i) Dragon Horse Dinosaur Dragon Horse __________

ii) Red Dragon Blue Dragon Blue Dragon Red Dragon Blue Dragon ____________

For the Middle troopers: (7-10 years)

Q2) Write out the word DRAGON: can you see how many smaller words you can make from it?

For the Go getters (11-14 years)

Q3) A dragon has 4 legs, 2 eyes. What’s the ratio of legs to eyes? What if there are 5 dragons- how many legs and eyes will you have? Will the ratio change? Why or why not

Answer: 1) Dinosaur ii) Blue Dragon 2) drag , nod, god etc 10+ good, 20 : v good 3) 2: 1, same ratio 2:1

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Week 18 Lego

lego

Both my kids LOVE Lego and hell I love Lego! So that’s pretty much the theme for this week. Lego started selling its interlocking bricks from 1949 and the name Lego itself comes from “Lego”, from the Danish phrase leg godt, which means “play well”. And your fun-fact of the day is that even though Lego sells millions of sets of various themes from dinosaurs to undersea creatures, you can submit your OWN idea at https://ideas.lego.com/ – isn’t that really cool? Now is it time to plan a trip to legoland?

For the Pre-schoolers (4-6 years)

Q1)You were gifted 2 boxes of Lego on your birthday by your friends and you had one box already. How many do you have now?

For the Middle-Troopers: (7-10 years)

Q2) One box of Lego has 10 blocks of red bricks, 50 blocks of blue bricks, and 30 blocks of yellow bricks. How many bricks and how many colours in all? What’s the ratio of red bricks to total number of bricks?

For the Go-getters (11-14 years)

Q3) If there are 10 blocks of red brick and 20 blue ones in a box, what’s the probability of drawing a red one?

Answers: 1) 3 boxes 2) 90 bricks, 3 colours, 1/9 3) 1/3

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Week 19 Symbols

We have been using symbols to represent Mathematical values since a long time – be it Roman numerals (I, IX) or Greek ones (α = alpha, β = beta). In-fact a branch of Math’s “Algebra” uses symbols like x and y to represent variables and some others like c to represent constants (values that don’t change). Fun fact for the day: Morse Code a popular way of transmitting information actually just uses a combination of two symbols: dots and dashes !

Now imagine your self in a world where there are no numbers like 0-9 , just alphabets representing each number, A = 0, B = 1, C =2 , D= 3 and so on

For the Pre-schoolers (4-6 year olds)

Q1: What is A+ B? What is A + B + C ?

For the Middle Troopers (7-10 year olds)

Q2: If A = 0, B = 1, C= 2, what is the value of F? What is J?

For the Go getters (11-14 years olds)

Q3: What is 2*F + (K –D) ?

Answers : Q1) 1, 3, Q2) 5,9 Q3)16

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Week 20 Piece of Pie

A piece of pie!

A pie chart is a circular graph which shows data relative to each other. It is visually easy to read and is generally color coded as well. Historically they started being used around 1850s, and today there are many variants of the same. A pie chart is usually recommended only when the data-points are not very large, else can be confusing.
And if you thought pies are yummy, then there is a doughnut graph as well – but that’s a subject for the next post 
Cherry asked her friends for their favorite ice-cream flavor and made a pie chart to represent the data below:

ice cream pie chart

For the Pre-schoolers (4-6 years old)

Q1) Look at the pie-chart: how many “slices” does it have? What if we added two more flavors – how many slices would the “pie” have?

For the Middle Troopers (7-10 years)

Q2) which slice is biggest – i.e which ice-cream flavor is most popular? Which flavor is least popular?

For the Go-getters (11-14 years)

Q3) If cherry asked 10 friends, 20% wanted vanilla, 30% wanted strawberry and 50% wanted chocolate, how many friends took which flavor?

Answers: 1) 3 slices, 5 slices, 2) chocolate, strawberry, 3) 2, 3, 5

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Week 21 Number Trivia

Some number trivia:

1) An octopus has the same number of legs as an spider : 8
2) 2 and 5 are the only prime numbers that end with a 2 or a 5
3) A female elephant takes 22 months to give birth to a baby. A female human takes 9 months.
4) A decade means 10; dozen means 12, a century mean 100.
5) Infinity is the largest number out there, meaning going on for ever and ever!

Add your own favorite number trivia to the comments!

For pre-schoolers( 4-6 year olds)

Q1) If we have one octopus and one spider in the room – how many animal legs are there?

For the Middle troopers (7-10 years)

Q2) Add a decade to a dozen and multiply with a century = ?

For the go-getters (11-14 years)

Q3) Add infinity to a decade= ?

Ans:Q1) 16, Q2) 2200 3) infinity

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Week 22 Solar System

solar system

The Solar system is where we stay. The sun is a star in the middle of the solar system. It gives us light, heat and life. It is made of hydrogen and helium and a surface temperature of 9932F (5500C). Did you know the sun has gravity that is 28 times that of Earth, and a diameter 109 times that of Earth! There are eight planets: Mercury being closest to the Sun and Neptune being the furthest. Jupiter is the biggest while Venus is the hottest.
Fun fact: Did you know that until very recently there were nine planets, but in 2006 scientists took away Plutos planet status. It is now a minor planet or dwarf planet.

For the Pre-schoolers(4-6 year olds)

Q1)What if we discovered 2 new planets? How many would there be then?

For the Middle Troopers (7-10 year olds)

Q2) Uranus has 27 moons = X^X . What is X?

For the Go getters (11-14 year olds)

Q3) Saturn spins very fast on its axis. A day in Saturn lasts only 10 hours. How many “Earth days” make a month in Saturn?

Ans: 1) 10, 2) 3, 3) month in saturn = 30 days*10 hours = 300 hours . On Earth a day = 24 hours. = 300/24 = 12.5 days

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Week 23 Leap days

Leap Days and Leap Months

February is a month which is set apart by the fact that it sometimes has 28 days and sometimes 29 – Feb 29 is called a Leap day. Although most modern calendar years have 365 days, a complete revolution around the sun (one Solar year) takes approximately 365 days and 6 hours. An extra 24 hours thus accumulates every four years, requiring that an extra calendar day be added to align the calendar with the sun’s apparent position. Fun Fact : So someone who is born on Feb 29th, and is 64 can get away by saying she is just 16!

For the Pre-schoolers (4-6 years)

Q1) A leap day occurs in 4 years, after 8 years how many leap days would have gone?

For the Middle Troopers (7-10 years)

Q2) How many days in a year does a Leap year have?

For the Go getters (11-14 years)

Q3) Someone who is 80 would have gone through how many leap years?

Answers: Q1) 2, Q2) 366 Q3) 20

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Week 24 Birthdays

IMG_3107

My 5 year old asked me – why does my birthday come just once a year? Every child loves birthday parties. With the balloons, clowns, treats, special gifts and cakes….yummm….well…slight amendment to statement above- everyone loves birthday parties! Shame your own party is just once a year, but quite apt that you can still have more if not equal fun in your friends parties!

For the pre-schoolers (4-6 years)
Q1) If you had a dozen cupcakes and someone took away 4, how many left?

For the Middle-troopers (7-10 years)
Q2)There were 20 guests at a party and 2 balloons each child. Half the children burst their balloons. How many left?

For the Go-getters (11-14 years)
Q3) A child said he turned a year old only once every 4 years. Is he joking?

Ans: 1) 8 cupcakes, 2) 20 balloons 3) he was born on a leap year

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Week 25 Pi Day

March 14, 2015 was an epic day – Why? 3.141592653 = ∏

The number π is a mathematical constant, the ratio of a circle’s circumference to its diameter, commonly approximated as 3.14159. It has been represented by the Greek letter “π” since the mid-18th century, though it is also sometimes spelled out as “pi”. Because its definition relates to the circle, π is found in many formulae in trigonometry and geometry, especially those concerning circles, ellipses or spheres. Its usage is across many fields.

For Pre-Schoolers(4-6 year olds)

Q1) My friend drew a circle and cut it into quarters, how many parts does the circle have now?

For Middle troopers (7-10 year olds)

Q2) if a radius of a circle is 10 cm, what is its diameter? ( Hint radius = ½ * diameter)

For Go getters (11-14 year olds)

Q3) you walk around a circle which has a diameter of 200m.
How far have you walked?

Ans : Q1) 4 parts, Q2) 20 Q3) 628

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Week 26 People vs Vehicles

I was asked a rather interesting question by a cheeky 5 year old who is in love with cars, buses and all sorts of vehicles. “Are there more vehicles or people in the world?” It was interesting to work out the answer but it wasn’t very obvious and I am going to leave this question as a theme for this weeks puzzle a week.

For the Preschoolers (4-6 year olds)

Q1) if there are 10 people and 12 cars on a road, which one is more: people or cars? What if we take away 3 cars?

For the Middle troopers (7-10 year olds)

Q2) If there are 5 people in a room and two of them have 3 cars each while the rest three and 2 cars each, how many cars are there in total?

For the Go getters (11-14 years)

Q3) Whats your answer: are there more people or vehicles in the world?

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