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Maths Brain Challenges without answers.pptx

Maths year 5 extension powerpoint for students to be challenged

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REMEMBER... a sledgehammer is not the right tool to crack a nut!
Let’s make those brains happy… Indicates calculator allowed
There are 25 children in a lunch queue, including Jeff. Jeff says “There are twice as many children in front of me as there are behind me.” The Queue How many children are in front of Jeff? Click for clues
Here is information about pupils in a class:  the total number of pupils is 30  26 of the pupils do not wear glasses  ¼ of the pupils who do wear glasses are boys  there are 2 more boys than girls Glasses Use this information to complete this table. Click for clues Number who do wear glasses Number who do not wear glasses Total Number of boys Number of girls Total
Cross Numbers Fill in this grid using all the numbers from 1 to 8 6 ÷ = + x + = = = computation (number crunching) Click for clues 1 2 3 4 5 6 7 8 use equipment Use number cards and a whiteboard. Can you create a similar challenge.
Click for answer VxC The “VxC” value for a word is: number of Vowels X the number of Consonants 1. Draw and complete this table 3. Look for a word with the highest “VxC” value. 2. How many words with a “VxC” of 24 can you find? Word Vowels Consonants Total VxC mathematics 4 7 11 28 elephant preposterous experimentation transparent pentagonal imperfection disturbances incredulous use equipment.. a DICTIONARY 4. What are all the possible VxC values for any 6 letters? computation (number crunching)
 Laura and Bart both start with the same number.  Bart works out ¾ of the number.  Laura works out ½ the number.  The sum of their answers is 275 What’s our number? What was the number they started with? What if the sum of their answers was 1225. Click for clues
Mix ‘n Match What should the bottom right diagram look like? Why? Click for clues
Click for clues Draw 3 lines (like the examples) to cut the disk into 3 sections, so that the numbers in each section add up to the same total. Make it equal These lines are just examples... they do NOT work!
Click for answer swap the 6 for the 1, 2 and 3 Make it equal Can you rearrange the numbers 1 to 9 and come up with 3 different sets that still work?
 Each symbol represents a different whole number.  If a symbol appears twice in a box, then the value in the box is doubled.  The totals of each row and column are given What is my value? Click for clues What is the value of each symbol? 29 31 28 26 25 28 40 21
29 31 28 26 25 28 40 21 3 Find another row or column with only 1 shape different 1 extra cone adds 3 The extra cone adds an extra ? The only difference is: ??? Click for clues What is my value?
You have 100g of sand, scales, a 2g weight and a 5g weight. How can you use the scales just 3 times to weigh exactly 18g? Click for clues A balancing act To weigh 18g of sand, you could weigh 5g TWO times and 2g FOUR times. This uses the scales SIX times. 2g 5g
A farmer is at a river with a fox, a hen and a bag of grain. He has to cross the river in a canoe but can only take one thing at a time. He can’t leave the hen with the grain - she’ll eat it. He can’t leave the fox with the hen - he’ll eat her. How does the farmer get everything across without anything being eaten? Click for clues The farmer’s challenge.
Click for clues The farmer’s challenge. Click for answer What MUST the farmer take across FIRST? The farmer can return with nothing, but does not have to! simplify A farmer is at a river with a fox, a hen and a bag of grain. He has to cross the river in a canoe but can only take one thing at a time. He can’t leave the hen with the grain - she’ll eat it. He can’t leave the fox with the hen - he’ll eat her.
Jo has 2 strips of card, each 36cm long. One strip is divided into 3 equal parts. The other strip is divided into 4 equal parts. Jo uses the 2 strips to make this shape: ?cm 36cm What is the length of Jo’s shape? Joining Click for a clue
asp + asp + asp = sss I can do this… Which digits are a, s and p? Can you make up a similar challenge? Click for clues
Triangles everywhere What is the area of the blue triangle? Click for clues simplify what do I know that can help
Start 0 +6 x9 ÷2 +9 x7 ÷3 x5 x5 -6 x3 -5 ÷3 x7 -8 End The MAZE This will use your knowledge of + - x and ÷ Start with ZERO and find a route from Start to End: 1. To get a total of exactly 100 2. To get the biggest total 3. To get the smallest total Click for clues
Will working from END to START help at all? The MAZE Click for answer This will use your knowledge of + - x and ÷ Start 0 +6 x9 ÷2 +9 x7 ÷3 x5 x5 -6 x3 -5 ÷3 x7 -8 End backwards
The MAZE Click for answer This will use your knowledge of + - x and ÷ Start 0 +6 x9 ÷2 +9 x7 ÷3 x5 x5 -6 x3 -5 ÷3 x7 -8 End Start with ZERO and find a route from Start to End: 1. To get a total of exactly 100 2. To get the biggest total 3. To get the smallest total
Three trains leave Central Station for Seaside Station. Timetable What time does each train depart from Central Station and arrive at Seaside Station? Click for clues  the Express departs 10 mins after the Slow train and arrives 10 mins before it  the Slow train takes 50 mins to reach Seaside Station and arrives at 09:30  the Goods train departs 20 mins before the Slow Train and arrives 20 mins after the Express How long does each journey take.
Click for clues 09:30 08:40 50 mins 09:20 08:50 10 mins 10 mins 09:40 08:20 20 mins 20 mins Three trains leave Central Station for Seaside Station. Timetable  the Express departs 10 mins after the Slow train and arrives 10 mins before it  the Slow train takes 50 mins to reach Seaside Station and arrives at 09:30  the Goods train departs 20 mins before the Slow Train and arrives 20 mins after the Express
Three trains leave Central Station for Seaside Station. Timetable  the Express departs 10 mins after the Slow train and arrives 10 mins before it  the Slow train takes 50 mins to reach Seaside Station and arrives at 09:30  the Goods train departs 20 mins before the Slow Train and arrives 20 mins after the Express How long does each journey take. 30 mins 90 mins 50 mins 09:30 08:40 09:20 08:50 09:40 08:20
The numbers are there for a reason. A timely challenge What is the missing number? WHY? Click for clues 5 3 1 ? 8
Click for clues 5 3 1 ? 8 simplify what do I know that can help Click for answer A timely challenge The numbers are there for a reason.
1 Click for answer 3 3 1 5 5 8 8 12 ? A timely challenge The numbers are there for a reason.
Click for clues Shade in any 4 squares to create a pattern with at least one line of symmetry Symmetry How many different patterns can you find? How do you know if you’ve found ALL the patterns? Example Click for answer
1 2 1 3 2 3 2 4 1 6 1 4 3 5 1 5 3 4 3 6 2 5 2 6 Are these the same? YOU decide… Click for answer Here are some solutions… Why are some of the squares numbered? Symmetry
1 2 1 3 1 6 2 4 2 3 1 5 1 2 Are these the same? YOU decide… 5 Symmetry
Look CLOSELY at these numbers. Number Track What do you notice? 4 32 17 19 30 6 3 13 21 18 31 5 11 25 24 12 28 7 29 20 16 9 27 22 8 1 15 10 26 23 2 14 Click for clues What numbers are used? Look at each pair of adjacent numbers. Click for answer LOOK really closely
Uses all the numbers between 1 and 32. Each pair of adjacent numbers along the track adds up to a square number. WOW! No number is repeated. 4 32 17 19 30 6 3 13 21 18 31 5 11 25 24 12 28 7 29 20 16 9 27 22 8 1 15 10 26 23 2 14 Any other observations? Click for answer Look CLOSELY at these numbers. Number Track
eleven plus two Same letters, different sum Rearrange the letters to make a different expression, but with the same total. plus Click for answer
eleven plus two Rearrange the letters to make a different expression, but with the same total. twelve plus one Same letters, different sum
Coloured Hexagons Which 3 hexagons need to be repainted (yellow, green or blue) so that no adjacent shapes are the same colour? Y Y Y Y Y G G G B B Click for answer
x x x Y Y Y Y Y G G G B B Coloured Hexagons
12 17 25 64 37 99 81 Follow the Instructions Start sitting, and return to a sitting position after each number 16 Stand up if it’s ODD Fold your arms if it’s a PRIME Hold up your Left arm if it’s a multiple of 4 Hold up your Right arm if it’s a SQUARE Sit down if it’s EVEN
Start sitting, and return to a sitting position after each number Stand up if it’s ODD Fold your arms if it’s a PRIME Hold up your Left arm if it’s a multiple of 4 Hold up your Right arm if it’s a SQUARE Sit down if it’s EVEN What actions are IMPOSSIBLE ? WHY? Stand and hold up Left arm (Odd multiples of 4?) Follow the Instructions
Stand up if it’s ODD Hold up your Left arm if it’s a multiple of 4 Fold your arms if it’s a PRIME Hold up your Right arm if it’s a SQUARE Start sitting, and return to a sitting position after each number Give examples of numbers where you would… Sit down if it’s EVEN Stand with your right arm held up Sit with both arms held up Sit with your right arm held up Stand with your left arm held up Sit with your left arm held up Stand with your arms folded Sit with your arms folded Stand with both arms held up Follow the Instructions
The Symbols with Numbers and Arrows are there for a reason. Close the loop Which Symbol is missing to get you back to the Start? 2 1 1 1 1 2 2 2 START These are all INSTRUCTIONS Click for clues LOOK really closely
The Number tells you how many boxes to move The Arrow tells you the direction of the move. 2 1 1 1 1 2 2 2 2 Click for clues Click for answer START The Symbols with Numbers and Arrows are there for a reason. Close the loop
Can you make the statement correct by just adding one vertical or horizontal line? It just takes a line Click for clues Click for answer l0 l0 l0 = 9:50 What does this look like?
l0 l0 l0 = 9:50 It just takes a line Can you make the statement correct by just adding one vertical or horizontal line?
1 7 1 2 3 A 11 8 9 4 2 6 10 11 4 8 2 B 3 5 6 A-to-B by adding: BIG and small Starting at A and following a path to B going UP or RIGHT, what is the LARGEST and the SMALLEST total? Click for answer
1 7 1 2 3 A 11 8 9 4 2 6 10 11 4 8 2 B 3 5 6 LARGEST: 41 Click for answer A-to-B by adding: BIG and small
1 7 1 2 3 A 11 8 9 4 2 6 10 11 4 8 2 B 3 5 6 SMALLEST: 29 A-to-B by adding: BIG and small
Look at this sequence, reading it from left to right – as though it were a page in a book. So OBVIOUS! O T T F F S S Click for clues What are the missing letters? Why?
O T T F 5 S S A CLUE Click for clues Look at this sequence, reading it from left to right – as though it were a page in a book. So OBVIOUS! What are the missing letters? Why?
O T T F 5 S S E N Click for clues Look at this sequence, reading it from left to right – as though it were a page in a book. So OBVIOUS! What are the missing letters? Why?
1 2 3 4 5 6 7 E N Look at this sequence, reading it from left to right – as though it were a page in a book. So OBVIOUS! What are the missing letters? Why?
This number sentence is incorrect. Make it right Move 2 lines only to make a valid number sentence. Click for clues
Click for answer This number sentence is incorrect. Make it right Move 2 lines only to make a valid number sentence.
This number sentence is incorrect. Make it right Move 2 lines only to make a valid number sentence.
What am I pointing at? Which is the odd one out? More importantly, why? ? Click for clues
Each “double-arrow shape” has ONE arrow ONLY pointing to a square with another “double-arrow shape” in it, except… The order in which the clues appear is NOT important. Click for answer LOOK really closely What am I pointing at?
Each “double-arrow shape” has ONE arrow ONLY pointing to a square with another “double-arrow shape” in it, except… The order in which the clues appear is NOT important. LOOK really closely What am I pointing at?
These dominos are positioned very carefully. Domino Sequence What is missing? More importantly, why? ? Click for clues
? 1 2 3 4 6 5 What is missing? More importantly, why? Click for answer Click for clues These dominos are positioned very carefully. Domino Sequence
Click for clues Take ONE letter from each row, in order, to make up another number. Can you make up a similar challenge for your partner. SEVEN ONE FOUR EIGHT THREE TWO Click for answer Nothing is Hidden a SIX letter word
SEVEN ONE FOUR EIGHT THREE TWO SEVEN ONE FOUR EIGHT THREE TWO Click for answer Nothing is Hidden Take ONE letter from each row, in order, to make up another number. Can you make up a similar challenge for your partner.
I’m different… Which shape is the odd one? You MUST have a good reason. Odd one out but WHY? Click for clues Click for answer
The overlapping shape is not the same shape as the REGULAR hexagons. I’m different… Which shape is the odd one? You MUST have a good reason.
You are taking two friends to the cinema. Going to the Movies Click for clues Is it cheaper to go twice, taking one friend each time, or once, taking both friends at the same time?
Is it cheaper to go twice, taking one friend each time, or once, taking both friends at the same time? Click for answer Act it out with 2 friends Going to the Movies You are taking two friends to the cinema.
 Go once, taking both friends at the same time  Go twice, taking one friend each time Click for answer 4 tickets 3 tickets Going to the Movies You are taking two friends to the cinema.
There are 3 boxes of fruit.  One contains apples  One contains oranges  One contains apples and oranges The labels have fallen off and all have been stuck back on the wrong boxes. Apples & Oranges Barrie carefully chooses one box, opens it and without looking inside, takes out one piece of fruit. He looks at the fruit and then labels all 3 boxes. He KNOWS for certain that he is right! How did he do it? Click for clues
Click for clues The box labelled Apples could be “Oranges” or “Apples & Oranges”. So he could pick an apple or an orange and still not know which box it was. The box labelled Oranges could be “Apples” or “Apples & Oranges”. So he could pick an apple or an orange and still not know which box it was. There are 3 boxes of fruit.  One contains apples  One contains oranges  One contains apples and oranges The labels have fallen off and all have been stuck back on the wrong boxes. Apples & Oranges
There are 3 boxes of fruit.  One contains apples  One contains oranges  One contains apples and oranges The labels have fallen off and ALL have been stuck back on the wrong boxes. Box wrongly labelled Can contain If he picks an Box MUST contain The other boxes… Apples & Oranges ONLY apples OR ONLY oranges Apple Apples Oranges (can’t be O or A): MUST be A&O Apples: MUST be Oranges Orange Oranges Apples (can’t be A or O): MUST be A&O Oranges: Click for clues Click for answer Barrie chooses the box labelled Apples & Oranges. Here’s why… Apples & Oranges
Look at this diagram: Let me think… Think of “interesting” math questions you can ask…
How many pieces? How many different shapes? How many with 1 straight edge? 2 straight edges?... Is there a middle piece? What is the area? What is the perimeter? How many times can I share the pieces between 2 people? Why is it 6 x 7 and not 6 x 6? Would it look identical if reflected horizontally? vertically? Coordinates, fractions, percentages, symmetry, transformations, … Let me think…
Four friends have all been saving money.  Abby has saved ½ as much as Dan  Joe and Abby together have more than Dan  Glen and Joe together have less than Dan The richest List all 4 friends in order starting with the one with the most money. Can you make up a similar problem for your partner to solve? Click for clues
Dan Abby (1/2 of Dan’s) Abby Joe (more than Abby) Glen Joe Click for clues Click for answer draw it Four friends have all been saving money.  Abby has saved ½ as much as Dan  Joe and Abby together have more than Dan  Glen and Joe together have less than Dan The richest
Dan Abby Abby Joe Glen Joe Dan > Joe > Abby > Glen Click for answer Four friends have all been saving money.  Abby has saved ½ as much as Dan  Joe and Abby together have more than Dan  Glen and Joe together have less than Dan The richest
2 children and 2 adults need to cross a river. They have 1 canoe. The canoe can only carry 1 adult OR 2 children at a time. Crossing the river. How will everyone get to the other side? Click for answer When an adult crosses, there MUST be a child on the other side to bring the canoe back. Click for clues simplify
RIGHT BANK LEFT BANK RIVER cc a cc a cc c c c c aacc aa aac acc ac ac a c cc cc c a ac ac acc aac aacc aa What does this abbreviation represent? Click for answer Crossing the river.
“A” number When written as a WORD, what is the smallest, positive, whole number with the letter “a” in it? A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A Click for a clue It’s 3 digits and you may need to think “internationally”! Click for answer
101 one hundred and one “A” number When written as a WORD, what is the smallest, positive, whole number with the letter “a” in it? A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A
The End Click for the full set…

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Maths Brain Challenges without answers.pptx

  • 1.
    REMEMBER... a sledgehammer is notthe right tool to crack a nut!
  • 2.
    Let’s make those brainshappy… Indicates calculator allowed
  • 3.
    There are 25children in a lunch queue, including Jeff. Jeff says “There are twice as many children in front of me as there are behind me.” The Queue How many children are in front of Jeff? Click for clues
  • 5.
    Here is informationabout pupils in a class:  the total number of pupils is 30  26 of the pupils do not wear glasses  ¼ of the pupils who do wear glasses are boys  there are 2 more boys than girls Glasses Use this information to complete this table. Click for clues Number who do wear glasses Number who do not wear glasses Total Number of boys Number of girls Total
  • 7.
    Cross Numbers Fill inthis grid using all the numbers from 1 to 8 6 ÷ = + x + = = = computation (number crunching) Click for clues 1 2 3 4 5 6 7 8 use equipment Use number cards and a whiteboard. Can you create a similar challenge.
  • 9.
    Click for answer VxC The “VxC”value for a word is: number of Vowels X the number of Consonants 1. Draw and complete this table 3. Look for a word with the highest “VxC” value. 2. How many words with a “VxC” of 24 can you find? Word Vowels Consonants Total VxC mathematics 4 7 11 28 elephant preposterous experimentation transparent pentagonal imperfection disturbances incredulous use equipment.. a DICTIONARY 4. What are all the possible VxC values for any 6 letters? computation (number crunching)
  • 11.
     Laura andBart both start with the same number.  Bart works out ¾ of the number.  Laura works out ½ the number.  The sum of their answers is 275 What’s our number? What was the number they started with? What if the sum of their answers was 1225. Click for clues
  • 13.
    Mix ‘n Match Whatshould the bottom right diagram look like? Why? Click for clues
  • 15.
    Click for clues Draw 3lines (like the examples) to cut the disk into 3 sections, so that the numbers in each section add up to the same total. Make it equal These lines are just examples... they do NOT work!
  • 16.
    Click for answer swap the6 for the 1, 2 and 3 Make it equal Can you rearrange the numbers 1 to 9 and come up with 3 different sets that still work?
  • 18.
     Each symbolrepresents a different whole number.  If a symbol appears twice in a box, then the value in the box is doubled.  The totals of each row and column are given What is my value? Click for clues What is the value of each symbol? 29 31 28 26 25 28 40 21
  • 19.
    29 31 28 26 25 28 4021 3 Find another row or column with only 1 shape different 1 extra cone adds 3 The extra cone adds an extra ? The only difference is: ??? Click for clues What is my value?
  • 21.
    You have 100gof sand, scales, a 2g weight and a 5g weight. How can you use the scales just 3 times to weigh exactly 18g? Click for clues A balancing act To weigh 18g of sand, you could weigh 5g TWO times and 2g FOUR times. This uses the scales SIX times. 2g 5g
  • 23.
    A farmer isat a river with a fox, a hen and a bag of grain. He has to cross the river in a canoe but can only take one thing at a time. He can’t leave the hen with the grain - she’ll eat it. He can’t leave the fox with the hen - he’ll eat her. How does the farmer get everything across without anything being eaten? Click for clues The farmer’s challenge.
  • 24.
    Click for clues The farmer’schallenge. Click for answer What MUST the farmer take across FIRST? The farmer can return with nothing, but does not have to! simplify A farmer is at a river with a fox, a hen and a bag of grain. He has to cross the river in a canoe but can only take one thing at a time. He can’t leave the hen with the grain - she’ll eat it. He can’t leave the fox with the hen - he’ll eat her.
  • 26.
    Jo has 2strips of card, each 36cm long. One strip is divided into 3 equal parts. The other strip is divided into 4 equal parts. Jo uses the 2 strips to make this shape: ?cm 36cm What is the length of Jo’s shape? Joining Click for a clue
  • 27.
    asp + asp+ asp = sss I can do this… Which digits are a, s and p? Can you make up a similar challenge? Click for clues
  • 28.
    Triangles everywhere What isthe area of the blue triangle? Click for clues simplify what do I know that can help
  • 30.
    Start 0 +6 x9÷2 +9 x7 ÷3 x5 x5 -6 x3 -5 ÷3 x7 -8 End The MAZE This will use your knowledge of + - x and ÷ Start with ZERO and find a route from Start to End: 1. To get a total of exactly 100 2. To get the biggest total 3. To get the smallest total Click for clues
  • 31.
    Will working from END toSTART help at all? The MAZE Click for answer This will use your knowledge of + - x and ÷ Start 0 +6 x9 ÷2 +9 x7 ÷3 x5 x5 -6 x3 -5 ÷3 x7 -8 End backwards
  • 32.
    The MAZE Click for answer Thiswill use your knowledge of + - x and ÷ Start 0 +6 x9 ÷2 +9 x7 ÷3 x5 x5 -6 x3 -5 ÷3 x7 -8 End Start with ZERO and find a route from Start to End: 1. To get a total of exactly 100 2. To get the biggest total 3. To get the smallest total
  • 34.
    Three trains leaveCentral Station for Seaside Station. Timetable What time does each train depart from Central Station and arrive at Seaside Station? Click for clues  the Express departs 10 mins after the Slow train and arrives 10 mins before it  the Slow train takes 50 mins to reach Seaside Station and arrives at 09:30  the Goods train departs 20 mins before the Slow Train and arrives 20 mins after the Express How long does each journey take.
  • 35.
    Click for clues 09:30 08:40 50 mins 09:20 08:50 10mins 10 mins 09:40 08:20 20 mins 20 mins Three trains leave Central Station for Seaside Station. Timetable  the Express departs 10 mins after the Slow train and arrives 10 mins before it  the Slow train takes 50 mins to reach Seaside Station and arrives at 09:30  the Goods train departs 20 mins before the Slow Train and arrives 20 mins after the Express
  • 36.
    Three trains leaveCentral Station for Seaside Station. Timetable  the Express departs 10 mins after the Slow train and arrives 10 mins before it  the Slow train takes 50 mins to reach Seaside Station and arrives at 09:30  the Goods train departs 20 mins before the Slow Train and arrives 20 mins after the Express How long does each journey take. 30 mins 90 mins 50 mins 09:30 08:40 09:20 08:50 09:40 08:20
  • 38.
    The numbers arethere for a reason. A timely challenge What is the missing number? WHY? Click for clues 5 3 1 ? 8
  • 39.
    Click for clues 5 3 1 ? 8 simplify what doI know that can help Click for answer A timely challenge The numbers are there for a reason.
  • 40.
    1 Click for answer 3 3 1 5 5 8 8 12 ? A timelychallenge The numbers are there for a reason.
  • 42.
    Click for clues Shade inany 4 squares to create a pattern with at least one line of symmetry Symmetry How many different patterns can you find? How do you know if you’ve found ALL the patterns? Example Click for answer
  • 43.
    1 2 13 2 3 2 4 1 6 1 4 3 5 1 5 3 4 3 6 2 5 2 6 Are these the same? YOU decide… Click for answer Here are some solutions… Why are some of the squares numbered? Symmetry
  • 44.
    1 2 13 1 6 2 4 2 3 1 5 1 2 Are these the same? YOU decide… 5 Symmetry
  • 46.
    Look CLOSELY atthese numbers. Number Track What do you notice? 4 32 17 19 30 6 3 13 21 18 31 5 11 25 24 12 28 7 29 20 16 9 27 22 8 1 15 10 26 23 2 14 Click for clues What numbers are used? Look at each pair of adjacent numbers. Click for answer LOOK really closely
  • 47.
    Uses all thenumbers between 1 and 32. Each pair of adjacent numbers along the track adds up to a square number. WOW! No number is repeated. 4 32 17 19 30 6 3 13 21 18 31 5 11 25 24 12 28 7 29 20 16 9 27 22 8 1 15 10 26 23 2 14 Any other observations? Click for answer Look CLOSELY at these numbers. Number Track
  • 49.
    eleven plus two Sameletters, different sum Rearrange the letters to make a different expression, but with the same total. plus Click for answer
  • 50.
    eleven plus two Rearrangethe letters to make a different expression, but with the same total. twelve plus one Same letters, different sum
  • 52.
    Coloured Hexagons Which 3hexagons need to be repainted (yellow, green or blue) so that no adjacent shapes are the same colour? Y Y Y Y Y G G G B B Click for answer
  • 53.
  • 55.
    12 17 25 64 37 99 81 Follow the Instructions Startsitting, and return to a sitting position after each number 16 Stand up if it’s ODD Fold your arms if it’s a PRIME Hold up your Left arm if it’s a multiple of 4 Hold up your Right arm if it’s a SQUARE Sit down if it’s EVEN
  • 56.
    Start sitting, andreturn to a sitting position after each number Stand up if it’s ODD Fold your arms if it’s a PRIME Hold up your Left arm if it’s a multiple of 4 Hold up your Right arm if it’s a SQUARE Sit down if it’s EVEN What actions are IMPOSSIBLE ? WHY? Stand and hold up Left arm (Odd multiples of 4?) Follow the Instructions
  • 57.
    Stand up if it’sODD Hold up your Left arm if it’s a multiple of 4 Fold your arms if it’s a PRIME Hold up your Right arm if it’s a SQUARE Start sitting, and return to a sitting position after each number Give examples of numbers where you would… Sit down if it’s EVEN Stand with your right arm held up Sit with both arms held up Sit with your right arm held up Stand with your left arm held up Sit with your left arm held up Stand with your arms folded Sit with your arms folded Stand with both arms held up Follow the Instructions
  • 59.
    The Symbols withNumbers and Arrows are there for a reason. Close the loop Which Symbol is missing to get you back to the Start? 2 1 1 1 1 2 2 2 START These are all INSTRUCTIONS Click for clues LOOK really closely
  • 60.
    The Number tellsyou how many boxes to move The Arrow tells you the direction of the move. 2 1 1 1 1 2 2 2 2 Click for clues Click for answer START The Symbols with Numbers and Arrows are there for a reason. Close the loop
  • 62.
    Can you makethe statement correct by just adding one vertical or horizontal line? It just takes a line Click for clues Click for answer l0 l0 l0 = 9:50 What does this look like?
  • 63.
    l0 l0 l0= 9:50 It just takes a line Can you make the statement correct by just adding one vertical or horizontal line?
  • 65.
    1 7 1 2 3 A 11 8 9 4 2 6 10 11 4 8 2 B 3 5 6 A-to-B by adding:BIG and small Starting at A and following a path to B going UP or RIGHT, what is the LARGEST and the SMALLEST total? Click for answer
  • 66.
  • 67.
  • 69.
    Look at thissequence, reading it from left to right – as though it were a page in a book. So OBVIOUS! O T T F F S S Click for clues What are the missing letters? Why?
  • 70.
    O T T F5 S S A CLUE Click for clues Look at this sequence, reading it from left to right – as though it were a page in a book. So OBVIOUS! What are the missing letters? Why?
  • 71.
    O T T F5 S S E N Click for clues Look at this sequence, reading it from left to right – as though it were a page in a book. So OBVIOUS! What are the missing letters? Why?
  • 72.
    1 2 3 45 6 7 E N Look at this sequence, reading it from left to right – as though it were a page in a book. So OBVIOUS! What are the missing letters? Why?
  • 74.
    This number sentenceis incorrect. Make it right Move 2 lines only to make a valid number sentence. Click for clues
  • 75.
    Click for answer This numbersentence is incorrect. Make it right Move 2 lines only to make a valid number sentence.
  • 76.
    This number sentenceis incorrect. Make it right Move 2 lines only to make a valid number sentence.
  • 78.
    What am Ipointing at? Which is the odd one out? More importantly, why? ? Click for clues
  • 79.
    Each “double-arrow shape”has ONE arrow ONLY pointing to a square with another “double-arrow shape” in it, except… The order in which the clues appear is NOT important. Click for answer LOOK really closely What am I pointing at?
  • 80.
    Each “double-arrow shape”has ONE arrow ONLY pointing to a square with another “double-arrow shape” in it, except… The order in which the clues appear is NOT important. LOOK really closely What am I pointing at?
  • 82.
    These dominos arepositioned very carefully. Domino Sequence What is missing? More importantly, why? ? Click for clues
  • 83.
    ? 1 2 3 4 6 5 Whatis missing? More importantly, why? Click for answer Click for clues These dominos are positioned very carefully. Domino Sequence
  • 85.
    Click for clues Take ONEletter from each row, in order, to make up another number. Can you make up a similar challenge for your partner. SEVEN ONE FOUR EIGHT THREE TWO Click for answer Nothing is Hidden a SIX letter word
  • 86.
    SEVEN ONE FOUR EIGHT THREE TWO SEVEN ONE FOUR EIGHT THREE TWO Click for answer Nothing isHidden Take ONE letter from each row, in order, to make up another number. Can you make up a similar challenge for your partner.
  • 88.
    I’m different… Which shapeis the odd one? You MUST have a good reason. Odd one out but WHY? Click for clues Click for answer
  • 89.
    The overlapping shape isnot the same shape as the REGULAR hexagons. I’m different… Which shape is the odd one? You MUST have a good reason.
  • 91.
    You are takingtwo friends to the cinema. Going to the Movies Click for clues Is it cheaper to go twice, taking one friend each time, or once, taking both friends at the same time?
  • 92.
    Is it cheaperto go twice, taking one friend each time, or once, taking both friends at the same time? Click for answer Act it out with 2 friends Going to the Movies You are taking two friends to the cinema.
  • 93.
     Go once,taking both friends at the same time  Go twice, taking one friend each time Click for answer 4 tickets 3 tickets Going to the Movies You are taking two friends to the cinema.
  • 95.
    There are 3boxes of fruit.  One contains apples  One contains oranges  One contains apples and oranges The labels have fallen off and all have been stuck back on the wrong boxes. Apples & Oranges Barrie carefully chooses one box, opens it and without looking inside, takes out one piece of fruit. He looks at the fruit and then labels all 3 boxes. He KNOWS for certain that he is right! How did he do it? Click for clues
  • 96.
    Click for clues The boxlabelled Apples could be “Oranges” or “Apples & Oranges”. So he could pick an apple or an orange and still not know which box it was. The box labelled Oranges could be “Apples” or “Apples & Oranges”. So he could pick an apple or an orange and still not know which box it was. There are 3 boxes of fruit.  One contains apples  One contains oranges  One contains apples and oranges The labels have fallen off and all have been stuck back on the wrong boxes. Apples & Oranges
  • 97.
    There are 3boxes of fruit.  One contains apples  One contains oranges  One contains apples and oranges The labels have fallen off and ALL have been stuck back on the wrong boxes. Box wrongly labelled Can contain If he picks an Box MUST contain The other boxes… Apples & Oranges ONLY apples OR ONLY oranges Apple Apples Oranges (can’t be O or A): MUST be A&O Apples: MUST be Oranges Orange Oranges Apples (can’t be A or O): MUST be A&O Oranges: Click for clues Click for answer Barrie chooses the box labelled Apples & Oranges. Here’s why… Apples & Oranges
  • 99.
    Look at thisdiagram: Let me think… Think of “interesting” math questions you can ask…
  • 100.
    How many pieces? Howmany different shapes? How many with 1 straight edge? 2 straight edges?... Is there a middle piece? What is the area? What is the perimeter? How many times can I share the pieces between 2 people? Why is it 6 x 7 and not 6 x 6? Would it look identical if reflected horizontally? vertically? Coordinates, fractions, percentages, symmetry, transformations, … Let me think…
  • 102.
    Four friends haveall been saving money.  Abby has saved ½ as much as Dan  Joe and Abby together have more than Dan  Glen and Joe together have less than Dan The richest List all 4 friends in order starting with the one with the most money. Can you make up a similar problem for your partner to solve? Click for clues
  • 103.
    Dan Abby (1/2 ofDan’s) Abby Joe (more than Abby) Glen Joe Click for clues Click for answer draw it Four friends have all been saving money.  Abby has saved ½ as much as Dan  Joe and Abby together have more than Dan  Glen and Joe together have less than Dan The richest
  • 104.
    Dan Abby Abby Joe Glen Joe Dan> Joe > Abby > Glen Click for answer Four friends have all been saving money.  Abby has saved ½ as much as Dan  Joe and Abby together have more than Dan  Glen and Joe together have less than Dan The richest
  • 106.
    2 children and2 adults need to cross a river. They have 1 canoe. The canoe can only carry 1 adult OR 2 children at a time. Crossing the river. How will everyone get to the other side? Click for answer When an adult crosses, there MUST be a child on the other side to bring the canoe back. Click for clues simplify
  • 107.
  • 109.
    “A” number When writtenas a WORD, what is the smallest, positive, whole number with the letter “a” in it? A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A Click for a clue It’s 3 digits and you may need to think “internationally”! Click for answer
  • 110.
    101 one hundred andone “A” number When written as a WORD, what is the smallest, positive, whole number with the letter “a” in it? A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A
  • 111.
    The End Click forthe full set…

Editor's Notes

  • #42 Let the children decide what are “unique” The next 2 slides give examples… open this up for class discussion
  • #43 Discuss what is “unique”
  • #47 Encourage children to come up with their own additional observations
  • #55 Start SITTING 12 X4 AND even Prime AND Odd Square AND Odd x4 AND Square AND even Prime AND Odd Odd Square AND Odd 16 x4 AND Square AND even
  • #56 Start SITTING 12 X4 AND even Prime AND Odd Square AND Odd x4 AND Square AND even Prime AND Odd Odd Square AND Odd 16 x4 AND Square AND even
  • #59 If a clue is needed, click to show where to START
  • #71 The Number sequence… One Two Three Four Five Six Seven Eight Nine
  • #72 The Number sequence… One Two Three Four Five Six Seven Eight Nine
  • #83 The sum of adjoining pieces follows the sequence: 1,2,3,4,5,6