Problem-Solving Strategies & Skills – Measurement & Geometry: Year 1

1

Measurement and geometry

Which 2-D shape is missing from the table?

Four sides

© R. I .

C.Publ i cat i ons

Equal sides• f square orr evi ew p ur posesonl y•

Not equal sides Choose from the shapes at the side.

R.I.C. Publications ® Prim-Ed Publishing

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Extension

Measurement and geometry

What numbers are missing from the table?

2-D shape

Number of sides

© R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y• 4

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4

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2

Measurement and geometry Sam used handspans to measure two lengths of wood.

Length A measured 5 handspans. Length B measured 9 handspans.

Length B

Length A © R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y•

Which length of wood is longer?

How much longer is it than the other?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Extension

Sam measured two lengths of wood using footsteps.

Length B is six footsteps shorter than Length A. Length A

19 footsteps © R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y• Length B

How long is Length B? R.I.C. Publications ® Prim-Ed Publishing

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3

Measurement and geometry

Pauline and Fred are on the see-saw. Pauline weighs 21 kilograms. Fred weighs I .

C.Publ i cat i ons 3 kilograms more. © R.

•f orr evi ew pur posesonl y•

How much does Fred weigh?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Extension

Pauline and Fred are on the see-saw. Pauline weighs 21 kilograms. Fred weighs 3 kilograms more. A bird weighing 2 kilograms©lands R. I .

C.Publ i cat i ons orr evi ew pur posesonl y• on Pauline’s head.•f Which side of the see-saw is heavier now—Pauline’s side or Fred’s side?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry A bucket holds 20 litres.

Graham pours in 5 litres, then 8 litres, then 6 litres. © Ror .

I .

CNo. .Publ i cat i ons Is the bucket full? Yes

•f orr evi ew pur posesonl y•

If your answer is No, how many more litres does he need to fill the bucket?

R.I.C. Publications ® Prim-Ed Publishing

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4

Measurement and geometry

Extension

A bottle holds two litres.

An ice cream container holds one litre. © R. I .

C.Publ i cat i ons Which container holds more •f orr i ew pur posesonl y• —the bottle or the iceev cream container?

How much more does it hold?

R.I.C. Publications ® Prim-Ed Publishing

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5

Measurement and geometry

Joe starts walking from his house. He walks 2 squares to the right and 3 squares up, © R. I .

C.Publ i cat i ons then walks 2 squares to the •f orr evi ew pur posesonl y• left and 1 square down.

Where is he?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Extension

Joe starts walking from his house. He walks 2 squares to the right and 3 squares up, then walks 2 squares to the © R. I .

C.Publ i cat i ons left and 1 square down.

•f orr evi ew pur posesonl y• What places does he pass?

Write them in the correct order, from first to last.

R.I.C. Publications ® Prim-Ed Publishing

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6

Measurement and geometry

1 2 3 4

Leslea’s birthday is ©5 6 R. I .

C.Publ i ca t i ons 7 8 9 10 11 circled.

•f orr evi ew pur posesonl y• What is the day, date and month of her birthday?

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28

29

30

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Extension

Measurement and geometry

How many days are in June?

1 2 3 4

7 8 9 10 11 ©5 6 R. I .

C.Publ i ca t i ons

orr evi ew pur posesonl y• How many whole •f 12 13 14 15 weeks starting on 19 20 21 22 a Sunday are in the 26 27 28 29 month of June?

16

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18

23

24

25

30

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Clayton and Lisa both guessed how many paper clips would fill a small cup.

Clayton guessed 28 paper clips.

Lisa guessed 42 paper clips. They filled © R. I .

C.Publ i cat i ons the cup with 34 paper clips.

•f orr evi ew pur posesonl y• If Clayton and Lisa put the number of paper clips they guessed together, how many would they have?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Extension

Clayton and Lisa both guessed how many paper clips would fill a small cup.

Clayton guessed 28 paper clips. © Rclips. .

I .

C.Pu bl i cat i ons Lisa guessed 42 paper They filled •f orr evi ew pur posesonl y• the cup with 34 paper clips.

Whose guess was the closest?

R.I.C. Publications ® Prim-Ed Publishing

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8

Measurement and geometry Which letter is inside a rectangle and not a triangle?

© R. I .

C.Pub i cat i ons Dl •f orr evi ew pur posesonl y•

B

A

C

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Extension

Measurement and geometry

Which letter is inside both A the square and the©circle R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y• but not the rectangle?

B D C

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9

Measurement and geometry

Marcie’s skipping rope is double the length of Julia’s. Julia’s skipping rope is two metres long.

© R. I .

C.Publ i cat i ons How long is Marcie’s skipping rope?

•f orr evi ew pur posesonl y•

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Extension

Julia wants a skipping rope half as long as Marcie’s. Marcie’s skipping rope is 14 metres long. © R. I .

C. Publ i cat i ons How long is the skipping rope Julia •f orr evi ew pur posesonl y• wants to buy?

R.I.C. Publications ® Prim-Ed Publishing

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10

Measurement and geometry

The cool cow is the heaviest animal. The giggling goat is lighter than the silly sheep. Both animals are heavier than the messy mouse. The messy mouse is the lightest animal.

Who is lighter—the cow or the sheep? © R. I .

C.P ubl i cat i ons

•f orr evi ew pur posesonl y•

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Extension

The cool cow is the heaviest animal. The messy mouse is the lightest animal. The giggling goat weighs 25 kilograms.

The sheep weighs five kilograms more than the goat.

How much do the sheep and weigh © R. I .

C.Pgoat ubl i ca t i ons together in kilograms?

•f orr evi ew pur posesonl y•

R.I.C. Publications ® Prim-Ed Publishing

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11

Measurement and geometry

The plants were thirsty. Rachael filled a watering can to the top with water.

The watering can holds 8 litres.

Rachael poured 2 litres of water on © R. I .

C.Publ i cat i ons each plant. When•she had finished, the f orr evi ew pur poses onl y• watering can was empty.

How many plants did Rachael water?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Extension

The plants were thirsty. Rachael filled a watering can to the top with water.

Rachael poured 2 litres each on three plants, 5 litres on another plant and 1 litre each on 4 different plants. © R. I .

C .Publ i cat i ons •f orr ev i ewwatering pur posesonl y• When she had finished the can was empty.

How much water does the watering can hold when it is full?

R.I.C. Publications ® Prim-Ed Publishing

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12

Measurement and geometry Person 1

Carrie is one head taller than Melissa.

Melissa is seven heads tall. © R. I .

C.Publ i cat ons Which person is Melissa—Person 1i •f orr evi ew pur posesonl y• or Person 2?

Person 2

How many heads tall is Carrie?

R.I.C. Publications ® Prim-Ed Publishing

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Extension

Measurement and geometry

Person 3

Jed is one head shorter than Mark.

Stuart is one head taller than Mark.

Person 2

Person 1

© R. I .

C.Publ i cat i ons Which person is Jed?

•f orr evi ew pur posesonl y•

Who is the tallest person —Jed, Mark or Stuart?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Nadia has four halves of squares to put together to make©whole squares.

R. I .

C.P ubl i cat i ons •f orr evi ew pur posesonl y•

How many whole squares can she make?

R.I.C. Publications ® Prim-Ed Publishing

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Extension

Measurement and geometry

Nadia sorted the halves of shapes to find the halves of rectangles. She has four shapes left to sort.

Which shape is not half of a rectangle? © R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y•

Shape 2

Shape 4

Shape 1

Shape 3 R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

A school held running races.

Everyone ran as fast as they could. Gail finished the race in eight minutes. Julie © Rfinished .

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C.Publ i cat i ons the race in eleven minutes.

•f orr evi ew pur posesonl y• Who was quicker?

Who was slower?

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Measurement and geometry

Extension

A school held running races.

Everyone ran as fast as they could. Gail finished the race in eight minutes. Julie finished © R. I .

C.Publ i cat i ons the race in eleven minutes.

•f orr ev i ew pur posesonl y• Ian finished the race in seven minutes.

In order, who came first, second and third?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

How many blue triangles and yellow © R. I .

C.Publ i cat i ons rectangles have •f orr evi ew pur posesonl y• been used to make the shape?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Extension

Which shape has been made using four semicircles?

Shape A

Shape B

Shape C

© R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y•

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Measurement and geometry

Each weekday Luke played with blocks and built things for one hour. He played with his cars at the weekend. © R. .

C.Publ cat i ons How many hours did heI spendi •f orr evi ew pur posesonl y• building with blocks in one week?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Extension

Luke is building a road by joining blocks together. It takes two seconds to join two blocks together. © R. I .

C.Publ i cat i ons

How long will it • take him to join f orr evi ew pur posesonl y• ten pieces together?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

A birthday party had lots of fun food and R. I .

C.Publ cat i ons soft drink. A bottle of©soft drink i held two •f orr evi ew pur posesonl y• litres. Tim and Lisa drank some of the soft drink and left the bottle half full.

How much soft drink did Tim and Lisa drink?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Extension

A birthday party had©lots food and R. I .

Cof .Pfun ubl i c at i ons soft drink. A bottle of soft held four •f o rr e vi ewdrink pur po seso nl y• litres. Annie and Dee drank one quarter of it and Tim and Sam drank two quarters.

How much is left in the bottle, in litres?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Jake used 2-D shapes to make a picture of a dog.

© R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y• How many triangles

and squares did he use?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Extension

Jake has a shape puzzle to finish but the last piece is missing. The puzzle needs 5 triangles, one square and one ©R .

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C.P ubl i cat i ons orr evi ew pur posesonl y• rectangle to finish•f it.

What 2-D shape is missing from Jake’s helicopter puzzle?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

original

quarter turn

three-quarter three-quarter half turn turn turn

whole turn

© R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y•

Which figure shows a quarter turn clockwise from the original position?

Figure 1

Figure 2 R.I.C. Publications ® Prim-Ed Publishing

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Extension

Measurement and geometry

original

quarter turn

half turn

three-quarter turn

whole turn

© R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y•

This shape was turned four times from its original position.

What kind of turn is this?

R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Cody has a 1 birthday party

2 3 4 5 6 7 8 to go to on © R. I .

C.Publ i cat i ons 18 January.

9 10 11 12 •f o rr evi ew pur po seso nl y• 13 14 15

16 17 18 19 20 21 22

What day is the party on?

23 24 25 26 27 28 29 30

31 R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

How many weekdays are in January?

How many weekend days are in January?

Extension

1

2 3 4 5 6 7 8

© R. I .

C.Publ i cat i ons 10 11 12 13 •f orr evi ew pur posesonl y• 9

14

15

16 17 18 19 20 21 22

23 24 25 26 27 28 29 30

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Measurement and geometry

Jake has breakfast at 7 o’clock.

Todd has breakfast © R. I .

C.Publ i cat i ons orr evi ew pur posesonl y• at half past seven. •f Who has breakfast later?

Jake

Todd R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Extension

Jake left for football training at 4 o’clock. He got there at half past 4. © R. I .

C.P ubl i cat i ons Todd also left for football training f orr evi ew pur posesonl y• at 4 o’clock. He•got there ten minutes later.

Who got to football training earlier?

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Measurement and geometry

Sid Square was a mean 2-D shape. He was nasty to the other 2-D shapes. Sid took © R. I .

C.Publ i cat i ons a big bite out of Sally •f orr evCircle. i ew pur posesonl y• What shape was the part of Sally Circle that was left?

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Measurement and geometry

Extension

Sid Square, Sally Circle, Ray Rectangle, Ted Triangle and Susie Semicircle got together to make a shape picture. © R. I .

C.Publ cat i ons One shape was very keen.

Hei got in •f orr evi ew pur posesonl y• twice. He made the same shape as Sid Square.

Who was he?

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Measurement and geometry

Fay used her hands to weigh seed for the birds. She put three handfuls in the first bag. She put two handfuls ©R .

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Cthird .Publ i cat i ons in the second bag. In the bag •f orr evi ewthan pur posesonl y• she put one handful more the first bag.

How many handfuls were in the third bag?

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Measurement and geometry

Extension

Fay used her hands to weigh seed for the birds. She put three handfuls in the first bag. She put two handfuls in the second bag. In the third bag R. I .

C.Publ cat i ons she put one handful©more thani •f orr evi ew pur posesonl y• the first bag.

Which bag of birdseed was the heaviest?

Which bag of birdseed was the lightest?

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Measurement and geometry

Rob wants to make a cube but he only has squares to use. © R. I .

C.Publ i cat i ons

•f orr evi ew pur posesonl y•

How many squares does he need to make a cube?

cube

square

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Measurement and geometry

Extension

Rob drew a paper shape using triangles and a square.

He cut it out and folded it ©R .

I .

C.P ubl i cat i ons to make a 3-D shape.

Then he •f orr evi ew pur posesonl y• taped it up.

What 3-D shape did he make?

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25

Measurement and geometry

From the starting point, what can be found 4 squares R. I .

C.Publ i cat i ons to the right, 2 squares© up •f orr evi ew pur posesonl y• and 4 squares to the left?

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Measurement and geometry

Extension

Tom goes past one house, the park and one shop to get to school. He goes to Joe’s house after school. © R. I .

C.Publ i cat i ons He comes home•the f orr evi ew pur posesonl y• same way.

How many squares in total does Tom travel?

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26

Measurement and geometry

Diana was building a castle with 3-D blocks.

She put a cylinder on the floor. Then she needed a tower. She wanted to put © R. I .

C.Publ i ca t i onson a 3-D block with the same-shaped face •f orr evi ew pur posesonl y• top of the cylinder.

What different 3-D shape could she use?

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Extension

Measurement and geometry What shape is missing from the table?

3-D shape

2-D shape on sides or base

© R. I .

C.Publ i cat i ons cube pyramid cone cylinder •f orr evi ew pur posesonl y•

square

square and ?

circle and triangle

circle and rectangle

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Measurement and geometry

Pippa made a bird house on 7 November but had 1 2 3 4 5 6 7 to wait for it to dry 8 9 10 11 12 13 14 © R. I .

C.Publ i cat i ons before hanging •f or 15 r evi ew p16 ur pose sonl y • 19 20 21 17 18 it outside.

22 23

If she hung it outside on Saturday 14, how long did she wait?

29

24

25

26

27

28

30

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Extension

Measurement and geometry

Pippa made a bird house but it fell from 1 2 3 4 5 6 7 the tree and broke.

She was sad because 8 9 10 11 12 13 14 © R. I .

C.Publ i cat i ons it was only three •f or r evi ew p ur pose sonl y • 19 20 21 15 16 17 18 weeks old.

22 23

The date she hung it outside is circled.

29

24

25

26

27

28

30

What was the date it broke?

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Measurement and geometry

Judy’s mum cleaned the house. She started at 10 o’clock. She © R. I .

C.Publ i cat i ons finished 3 hours later.

•f orr evi ew pur posesonl y• Which clock shows the time she finished?

Clock A Clock B R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Extension

Judy’s mum cleaned the house.

She took one and a half hours to do it. She finished at © R. I .

C.Publ i cat i ons orr evi ew pur posesonl y• half past nine. •f What time did she start?

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Measurement and geometry

Leah was sorting 3-D shapes into those with curved surfaces and those without. © R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y• sphere

pyramid

cube

cone cylinder

rectangular prism (cuboid)

Which three 3-D shapes belong in the group of 3-D shapes with curved surfaces?

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Measurement and geometry

Extension

Leah was sorting 3-D shapes by the number of flat faces each has. © R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y• sphere

cube

pyramid

cone cylinder

rectangular prism (cuboid)

How many of the 3-D shapes have more than two flat faces?

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Measurement and geometry Zoe turned a shape a number of times from its original position.

Which figure shows a half turn?

© R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y•

Figure 1

Figure 2

Figure 3

Original

Figure 4 R.I.C. Publications ® Prim-Ed Publishing

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Measurement and geometry

Extension

Zoe turned a shape a number of times from its original position.

© R. I .

C.Publ i cat i ons •f orr e vi ew pur po sethe sonl y• Which turn places the shape in

same position as the original position?

Original

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Measurement and geometry – Answers Card 1 Extension

rectangle ( ) circle ( )—1; triangle ( )—3

Card 6 Extension

Wednesday, 15 June thirty (30) days; three (3) whole weeks

Card 2

Length B; four (4) handspans thirteen (13) footsteps

Card 7 Extension

70 paper clips Clayton's guess

Card 8 Extension

B D

Extension Card 3 Extension Card 4

Extension Card 5 Extension

Pauline weighs 24 kilograms.

Pauline’s side is heavier.

No; Graham needs one more litre to fill the bucket. the bottle; The bottle holds one litre more.

Tom’s house park, library, school

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Card 13 Extension

two (2) whole squares Shape 4

Card 19 Extension

Figure 1 a whole turn

Card 14

Gail was quicker; Julie was slower Ian, Gail, Julie

Card 20 Extension

Tuesday twenty-one (21) weekdays, ten (10) weekend days

Card 21

Todd has breakfast later.

Todd got to football training earlier.

Extension Card 15

six (6) blue triangles; three (3) yellow rectangles Shape B

© R. I .

C.PuExtension bl i cat i ons fiveo Card 16 s (5)n hours •f orr evi ew pu r po es l y•

Card 9 Extension

four (4) metres long seven (7) metres long

Card 10 Extension

the sheep 55 kilograms

Card 11 Extension

four (4) plants fifteen (15) litres

Card 12

Person 2; Carrie is eight (8) heads tall.

Person 1; Stuart is the tallest person.

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eighteen (18) seconds

Card 17 Extension

one (1) litre one (1) litre

Card 18

five (5) triangles and one (1) square triangle ( )

Extension

Extension Card 22 Extension

semicircle Ted Triangle

Card 23 Extension

four (4) handfuls third bag; second bag

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Measurement and geometry – Answers Card 24 Extension

six (6) squares a pyramid

Card 25 Extension

a shop fourteen (14) squares

Card 26 Extension

cone ( ) triangle ( )

Card 27 Extension

one (1) week or seven (7) days Sunday, 29 November

Card 28 Extension

Clock B eight (8) o’clock

Card 29

sphere (

Extension

and cylinder ( ) three 3-D shapes

), cone (

Card 30

Figure 1

Extension

(

) a full turn

© R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y•

)

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