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280 10% x9 x8 16 50% n2 +6 x4 28 4 36 6 48 8 64 70 280

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Puzzle a day If a lion has 4 legs, a cheetah has 6 legs and an antelope 8 legs, how many legs has a buffalo? 6. two legs per vowel

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**How many oranges are here?**

What size of pile could you build with a box of 200 oranges? How many oranges are here? A shopkeeper builds a similar pile of oranges but with one extra layer. How many oranges would this have?

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Countdown 25 1 1 2 5 6 TARGET 1 2 3 4 5 6 7 8 9 Stop 290

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**Code Words 2J J ÷ B A + D B x G Y ÷ E – D C + D W – R I x B T E N A G**

F = 6 G = 7 H = 8 I = 9 J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 2J J ÷ B A + D B x G Y ÷ E – D C + D W – R I x B T E N A G R

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700p 1% X60 +30p x2 30% £5 20% X23 -£2 7p 420p 450p £9 270p 1 23 21 7

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**What other times could you measure**

What other times could you measure? What if you had three separate sand timers? When you turn over this egg timer, three sand timers measure 3 minutes, 4 minutes and 5 minutes. They cannot be turned over individually. How could you use the timer to measure 6 minutes? You could measure 7 minutes by adding together 3 and 4 minutes - but does it matter which you do first?

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**Puzzle a day Can you fill in the missing number?**

The right hand star in each set is the result of the two other stars multiplied together, minus one. Puzzle a day Can you fill in the missing number? 9 4 35 ? 7 3 20 7 36

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Countdown 10 8 6 4 7 100 TARGET 1 2 3 4 5 6 7 8 9 Stop 824

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**Code Words I – G + B C x G J – G V ÷ B Z ÷ B – A C2 B x G P - I D U C**

F = 6 G = 7 H = 8 I = 9 J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 I – G + B C x G J – G V ÷ B Z ÷ B – A C2 B x G P - I D U C K L I N G

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300 -30 ÷90 n2 81 -9 +3 5% 270 3 9 81 72 45 48 40 2

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**The whole bar weighs 100 grams. What does one square weigh**

The whole bar weighs 100 grams. What does one square weigh? A recipe uses 28 grams of chocolate. How many squares is this? How many squares does this chocolate bar have? To answer this question, it may help to measure the photograph with a ruler.

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Puzzle a day Change one letter in each word to form three new words with a common theme. WALL CASTER TROY WALK, CANTER, TROT.

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Countdown 75 2 3 2 7 8 TARGET 1 2 3 4 5 6 7 8 9 Stop 581

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**Code Words C x G – B P ÷ B U – P D2 V – N A + D I x B X ÷ F S H E P R**

J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 C x G – B P ÷ B U – P D2 V – N A + D I x B X ÷ F S H E P R D

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£5.50 x2 x3 -£1 75% 24 10% +9p ÷6 11 33 32 24 9 4.50 45p 54p 9p

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**What is the area of one of the parallelograms?**

This tiling consists of squares and parallelograms. The large squares each have an area of 1 square meter. The angle between the large squares and small squares is 45 degrees. What is the area of one of the small squares?

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Puzzle a day Betty was making flowers for the local carnival. 11 flowers had red in them, 7 had yellow in them and 5 had both red and yellow in them. How many flowers did she make? Red 6 R and Y 5 Yellow 2

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Countdown 100 9 2 3 4 1 TARGET 1 2 3 4 5 6 7 8 9 Stop 372

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**Code Words B x D R – M P ÷ D P – I T – L – C F x C Y – J J + M H E D G**

A = 1 B = 2 C = 3 D = 4 E = 5 F = 6 G = 7 H = 8 I = 9 J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 B x D R – M P ÷ D P – I T – L – C F x C Y – J J + M H E D G R O W

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**You can buy domino sets going up to "double twelve**

You can buy domino sets going up to "double twelve." How many tiles would these sets have? A normal set of dominoes has 28 tiles and the largest is "double six." This special domino set has more tiles and the largest is "double nine." How many tiles does it have?

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11 x8 -8 x4 5% 1000 25% -4 88 80 320 16 4 250 125 121 11

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Puzzle a day Two men were leading cows along a road, and the first said to the other “give me two cows and I’ll have as many as you have.” After this was done, the second said “Now you give me two cows and I’ll have double the number you have.” How many cows were there, and how many did they have each?

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Countdown 10 1 2 2 6 100 TARGET 1 2 3 4 5 6 7 8 9 Stop 818

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**Code Words Z ÷ B B ÷ B C x E – A T ÷ E Z – Y B x I R ÷ B Z - L M A N D**

F = 6 G = 7 H = 8 I = 9 J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 Z ÷ B B ÷ B C x E – A T ÷ E Z – Y B x I R ÷ B Z - L M A N D R I

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**Can you find a rule that gives the length of railing for any given number of hoops?**

The horizontal bar in the photograph has holes spaced 10 cm apart for the hoops to pass through. One hoop is 30 cm wide. How many hoops would you need to make a railing that is 250 cm long?

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7 x8 +18 -4 50% 26 +19 n2 7% 45 10 100 7 56 74 70 35 21

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**Puzzle a day Which number should replace the question mark?**

5. the centre numbers are the result of the bottom two numbers subtracted from the top number 1 5 4 2 6 13 5 4 2 10 4 6 15

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Countdown 25 1 7 4 5 2 TARGET 1 2 3 4 5 6 7 8 9 Stop 195

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**Count the number of spirals going in each direction.**

Your answers should be two numbers in the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34 See what you can find out about the Fibonacci sequence. The seeds in this yellow daisy make spiral patterns. Some of the spirals go in a clockwise direction and some go anticlockwise. Count the number of spirals going in each direction.

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**Code Words T – A Z – A B + A G – (B x C) J + C T – E F x C J – E S Y C**

H = 8 I = 9 J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 T – A Z – A B + A G – (B x C) J + C T – E F x C J – E S Y C A M O R E

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£3 x9 +£19 -£6 75% 25% £20 1% x8 -10p double £27 46 40 30 £7.50 20p 1.60 1.50 £3

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**4. The numbers in each block of 3 add up to 11.**

A puzzle a day which number should replace the question mark? 4. The numbers in each block of 3 add up to 11. 1 ? 6 1 3 7 2 3 6 2 4 5

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**Can you see any right angles here?**

This beautiful patchwork quilt has quite a complex design. Try to see the basic units from which it is constructed.

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Countdown 50 9 6 4 4 2 TARGET 1 2 3 4 5 6 7 8 9 Stop 432

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**Code Words B x C X ÷ B T – S Z ÷ B C x C C x E – A B x C + A T - E F L**

G = 7 H = 8 I = 9 J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 B x C X ÷ B T – S Z ÷ B C x C C x E – A B x C + A T - E F L A M I N G O

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1200p 10% half x5 x100 34p x100 +£18 -400p 25% £34 52 48 12 120p 60 £3 300 £75

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**Try to figure out an answer before counting the holes in the picture.**

The picture shows the ventilation holes in a hair dryer. There are 9 holes in the first circle and 12 holes in the next circle. How does the pattern continue?

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**Puzzle a day What comes next in the following sequence?**

1, 4, 5, 6, 7, 9, 11, ? 100. This is the sequence of numbers with no letter ‘t’ in their names.

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Countdown 75 1 9 6 4 2 TARGET 1 2 3 4 5 6 7 8 9 Stop 468

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**Code Words B x C X ÷ B T – S Z ÷ B C2 C x E – B B x C + A T - E F L A**

G = 7 H = 8 I = 9 J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 B x C X ÷ B T – S Z ÷ B C2 C x E – B B x C + A T - E F L A M I N G O

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**Jelly beans are sold in "40 official flavours"**

Jelly beans are sold in "40 official flavours". Suppose that the jelly bean company asks you to design a similar box that could hold all 40 flavours. Is this possible? Each compartment in this box contains six jelly beans of the same flavour. They are arranged in two layers of three beans. There is a different flavour in each compartment. How many different flavours are there in the box? How many beans are there altogether?

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20 x9 10% x50 3% 25 +17 +19 -1 180 18 8 400 12 42 61 60 20

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**puzzle a day Which 4 letter word links all of these?**

STEP, LOOSE, SORE, HOLD, LIGHTS Foot

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Countdown 50 3 4 7 8 1 TARGET 1 2 3 4 5 6 7 8 9 Stop 766

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A snail crawls across the tiles visiting the colours in order: red, yellow, black, red, yellow, black... Is it possible for the snail to visit every tile? This pattern uses square tiles of three different colours. They are arranged so that two tiles of the same colour never touch along an edge. The pattern uses equal numbers of the three colours. Design a different pattern that also uses equal numbers of square tiles in three colours. The same colour must never touch along an edge.

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**Code Words D x E – A Y ÷ E – D T – D D2 X ÷ C C2 F x C J – E S A P H I**

B = 2 C = 3 D = 4 E = 5 F = 6 G = 7 H = 8 I = 9 J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 D x E – A Y ÷ E – D T – D D2 X ÷ C C2 F x C J – E S A P H I R E

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5 x70 10% +29 +18 400 20% +9 350 35 14 43 61 80 16 25 5

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A puzzle a day How many triangles can you see? 35

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Countdown 25 6 7 8 3 5 TARGET 1 2 3 4 5 6 7 8 9 Stop 344

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**Code Words D + D J + E L + G A + O C2 B x J K – J X ÷ B H O S P I T A**

F = 6 G = 7 H = 8 I = 9 J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 D + D J + E L + G A + O C2 B x J K – J X ÷ B H O S P I T A L

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48 x2 -18 +3 37 -19 double x2 96 78 81 9 3 18 12 24 48

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**72 Maths Riddles It is less than 50 It is greater than 90**

It is a multiple of 8 24 is a factor 72

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Countdown 25 10 2 3 7 5 TARGET 1 2 3 4 5 6 7 8 9 Stop 279

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**Code Words S – C C x E B x I U – A G x C P ÷ B Z – Y X ÷ C + D P O R T**

F = 6 G = 7 H = 8 I = 9 J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 S – C C x E B x I U – A G x C P ÷ B Z – Y X ÷ C + D P O R T U G A L

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4400p 10% -10p X6 £55 -£27 25% x9 -£19 440p 220p 210p 70 420p 28 7 63 44

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**60 Maths Riddles It is an even number It is less than 79**

5,4 and 3are all factors It is a multiple of 10 60

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Countdown 25 8 3 4 2 1 TARGET 1 2 3 4 5 6 7 8 9 Stop 588

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**Code Words D x D F + M C x E X – H Y – T B x I U – A E2 P R O E T Y**

G = 7 H = 8 I = 9 J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 D x D F + M C x E X – H Y – T B x I U – A E2 P R O E T Y

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4 n2 +19 x2 80% -18 73 -16 +3 60% ÷9 57 60 36 4 16 35 70 56 38

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**49 Maths Riddles It is a square number It is an odd number**

It is less than 50 It is greater than 20 7 is a factor 49

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Countdown 75 2 3 5 6 7 TARGET 1 2 3 4 5 6 7 8 9 Stop 168

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**Code Words X ÷ D C x E T – E B x J Z ÷ M V – U C x F – F Y ÷ E + G F O**

A = 1 B = 2 C = 3 D = 4 E = 5 F = 6 G = 7 H = 8 I = 9 J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 X ÷ D C x E T – E B x J Z ÷ M V – U C x F – F Y ÷ E + G F O T B A L

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600 8% -19 +3 x2 64 x90 10% +29 -100 48 29 32 64 8 720 72 101 1

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**36 Maths Riddles It is a square number It is an even number**

It is less than 50 It is greater than 20 4 is a factor 36

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Countdown 75 6 5 4 1 1 TARGET 1 2 3 4 5 6 7 8 9 Stop 817

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**Code Words O + A C x D V – U X ÷ H T ÷ D F + G N – M C x H – D P L A C**

B = 2 C = 3 D = 4 E = 5 F = 6 G = 7 H = 8 I = 9 J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 O + A C x D V – U X ÷ H T ÷ D F + G N – M C x H – D P L A C E M T

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**Paradox Which weighs more 50kg of rocks or 50kg of feathers?**

How much earth is there in a hole 25m long, 6m wide and 2m deep Farmer went into the field, and found 13 rabbits eating corn. He shot one-how many were left in the field? A squash racquet and ball cost me £ the difference in price was £30 how much did the ball cost?

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**Angle Acronyms 180 DIAT 360 DIAC 180 DIASL 360 DIAQ 90 DIARA 5SIAP**

360 Deg in a circle 360 Deg in a quadrilateral 5 sides in a pentagon Corresponding angles are equal 6 sides in a hexagon 180 DIAT DIAC 180 DIASL DIAQ 90 DIARA 5SIAP AAAE CAAE ZAAAA 6SIAH 180 Deg in a triangle 180 Deg in a straight line 90 Deg in a right angle Alternate angles are equal Z angles are alternate angles

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Countdown 50 6 9 4 4 2 TARGET 1 2 3 4 5 6 7 8 9 Stop 432

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**Code Words V – S X ÷ C J ÷ B L + G D x E B x G J + K C + D + F + G C H**

A = 1 B = 2 C = 3 D = 4 E = 5 F = 6 G = 7 H = 8 I = 9 J = 10 K = 11 L = 12 M = 13 N = 14 0 = 15 P = 16 Q = 17 R = 18 S = 19 T = 20 U = 21 V = 22 W = 23 X = 24 Y = 25 Z = 26 V – S X ÷ C J ÷ B L + G D x E B x G J + K C + D + F + G C H E S T N U

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summer term mathematics activities for year six

summer term mathematics activities for year six

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