1
Measurement and geometry
Bill and Ben each measured around their head with a piece of string. Then they joined blocks together to find out the length of ©R . I . C .Publ i cat i ons their string. Ben’s length of string •f orr e vi ew pur posesonl y• measured 48 blocks and Bill’s measured 51 blocks. Who has the biggest head and by how much is it bigger than the other person’s? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 1
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
1
Measurement and geometry
Extension
Bill and Ben each measured around their head with a piece of string. Then they joined blocks together to find out the length of ©R . I . C .Publ i cat i ons their string. Ben’s length of string •f orr e vi ew pur posesonl y• measured 48 blocks and Bill’s measured 51 blocks. If both lengths of blocks were joined end-to-end to form one length, would the total length be greater than or less than 100? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 2
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
2
Measurement and geometry
Dana traced around her hand and cut it out. Then she used the shape to measure the area of the tabletop and the seat of her chair. © R. I . C.Publ i cat i ons
The area of the chair seat was three •f orr evi ew pur posesonl y• quarters less than that of the tabletop. If the area of the chair seat was six hand shapes, what is the area of the tabletop? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 3
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
2
Measurement and geometry
Extension
Dana used the shape of her hand to measure the area of the tabletop, the seat of her chair and her library bag. The area of the chair seat, which was six hand shapes, was three © R. I . C.Publ i cat i ons quarters less than that of the •f orr evi ew pur posesonl y• tabletop. The area of the library bag was half the area of the chair seat. Which object has an area which is not the largest or the smallest? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 4
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
3
Measurement and geometry
A carton of milk weighs the same as eighteen marbles. © R. I . C.Publ i cat i ons
f orr evi ew pur posesonl y• How many more•marbles are needed to balance the carton of milk?
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 5
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
3
Measurement and geometry
Extension
A carton of milk weighs the same as eighteen marbles. Three marbles were added to the side of the balance scales © R. I . C.Publ i cat i ons with the carton of milk and five •f orr evi ew pur posesonl y• were added to the side with only marbles. Which side of the balance scales has the greater mass (weight)? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 6
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
4
Measurement and geometry
11
12
11
1
10
2
9 7
6
2 3 4
8
4
12
1
9
3
8
12
10
7
5
6
5
9
3 6
© R. I . C.Publ i cat i ons Clock Clock 2osesonClock •1 f orr evi ew pur p l y• 3
The White family arrived at their hotel at 11:00 after travelling for 3 and a half hours. Which clock shows the time they started their journey? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 7
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
4
Measurement and geometry
Extension
The White family arrived at their hotel at 11:00 after travelling for 3 and a half hours. They rode in a rickshaw to their bungalow, which was seven minutes away. It took only© 13R. minutes toat unpack, change and I . C.Publ i c i ons head for the beach. •f orr evi ew pur posesonl y• How much time lapsed between arriving at the hotel and reaching the beach? Write your answer as a fraction of an hour. R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 8
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
5
Measurement and geometry
Lu and Xin estimated in grams how many oats were in a bag. Then they poured the oats into a container sitting on kitchen scales to find how close their estimate came to the actual measurement. © R. I . C.Publ i cat i ons f orr evi ew p ur po sesonl y• Their estimate was• 250 grams. The actual
measurement was 180 grams.
What was the difference between the estimate and the actual measurement? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 9
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
5
Measurement and geometry
Extension
Lu and Xin estimated in grams how many oats were in a bag. Then they poured the oats into a container sitting on kitchen scales to find how close their estimate came to the actual measurement. © R. I . C .Publ i cat i ons Lu guessed 190 grams and Xin •f or r evi e w pguessed ur posesonl y• 225 grams. If the actual measurement in grams was 210, whose estimate was the closest? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 10
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
6
Measurement and geometry Judd made a table to compare 2-D shapes with straight sides.
Shape square
The number of sides of all the rectangle shapes in the table was totalled. The number of corners the © R. I . Cin .Pall ubl i cat i ons triangle •f orr evi ew pur posesonl y• shapes was totalled. Which phrase best describes the totals when compared—one total was larger than the other OR the totals were equal?
Sides
Corners
4 equal
4
4
4
3
3
4 equal
4
rhombus
4
4
kite
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 11
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
6
Extension
Measurement and geometry Shape
Judd made a table to compare 2-D shapes with straight sides.
square rectangle
© Rcan . I . C.be Publ i cat i ons How many triangles triangle •f orr evi ew pur posesonl y• made from each shape in the table if Judd can only divide rhombus them once?
Sides
Corners
4 equal
4
4
4
3
3
4 equal
4
4
4
kite
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 12
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
7
Measurement and geometry ‘Listen to the clues,’ said Mr Burgess, ‘then tell me the name of the mystery shape’. ‘I have no curved surfaces, six © R. I . C.P ubl i cat i ons f orr evi ew p ur posesonl y• flat faces, twelve•edges and eight corners. My faces are made up of two squares and four rectangles.’ ‘What 3-D shape am I?’ R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 13
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
7
Measurement and geometry
Extension
‘Listen to the clues,’ said Mr Burgess, ‘then tell me the name of the mystery shape’. ‘I have the same number of flat © R. I . C.Publ i cat i ons faces, edges and corners as a •f orr evi ew pur posesonl y• rectangular prism (cuboid). Each of my faces has four equal sides and four corners.’ ‘What 3-D shape am I?’ R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 14
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
WHITEBOARD
ART SUPPLIES
Amy starts at the door, walks one square 4 down, four squares across to the right and 1n 3ubl © R. I . C.P i cat i o s two squares up to her •f o rr evi ew pur posesonl y• table. 3 2 2
7
OPEN SPACE
What table does she sit at?
R
O
O
D
1
COMPUTERS SHELF
STORAGE ROOM
COMPUTERS
5
TEACHER’S DESK
8
Measurement and geometry
6 5
4
READING CORNER
HOMEWORK SHELF
A
B
WHITEBOARD
C
D
E
F R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 15
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
7
Is she going to use © R. 1n 3ubl I . C.P i cat i o s a computer, giving •f orr evi ew pur posesonl y• 3 2 the teacher her 2 homework or going 1 to do an art activity?
OPEN SPACE
R
O
O
D
COMPUTERS SHELF
4
WHITEBOARD
TEACHER’S DESK
STORAGE ROOM
COMPUTERS
Amy moves from E3 to B1 to B5.
5
ART SUPPLIES
8
Extension
Measurement and geometry
6 5
4
READING CORNER
HOMEWORK
SHELF
A
B
C
WHITEBOARD
D
E
F R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 16
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
9
Measurement and geometry PENCIL
ERASER
The teacher asked the class to find and measure three classroom objects in © R. I . C.Publ i cat i ons centimetres. Sheila•f 5e cm orr evi e16 wcm pur pos sonl y• recorded her results in a table.
RULER
30 cm
What is the order of objects from shortest to longest? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 17
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
9
Extension
Measurement and geometry
The teacher asked the class to find and measure three classroom objects in centimetres. Sheila recorded her first results in a table.
PENCIL
ERASER
16 cm
5 cm
© R. I . C.Publ i cat i ons
RULER
30 cm
Sheila used her pencil, making it •f orr evi ew pur posesonl y• 5 cm shorter. The ruler broke and she was only able to measure one half. If Sheila measured her objects now, what would the order of objects from longest to shortest be? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 18
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
10
Measurement and geometry
Susie weighed some objects using different units and made a table. WEIGHT/ WEIGHT/ WEIGHT/ MASS MASS MASS © . I . C.Pub5 l i c at i ons 20 cubes ruler 6R blocks shells •f or r e vi ew pur po sesonl y water bottle 24 blocks 20 shells 80•cubes book 30 blocks 25 shells 100 cubes OBJECT
What is the order of the three objects from ‘weighs the most’ to ‘weighs the least’? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 19
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
10
Measurement and geometry
Extension
Susie weighed some objects using different units and made a table. WEIGHT/ WEIGHT/ WEIGHT/ MASS MASS MASS © R. I . C.Pub i cat i ons20 cubes ruler 6 blocks 5l shells •f o24 rr e vi ew pu r po sesonl y• water bottle blocks 20 shells 80 cubes book 30 blocks 25 shells 100 cubes OBJECT
What is the total weight of the three objects in each of the three different units of measurement? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 20
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
11
Measurement and geometry
Georgia filled a jug, a bottle and an empty ice cream container with water measured using a small, clean yogurt tub. The jug had a capacity© ofR14 . I . Cyogurt .Publ i ctubs at i ons f orr evi ew pur posesonl y• and the bottle held• 21. If the total capacity of all three containers was 88 yogurt tubs, how many did the ice cream container hold? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 21
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
11
Measurement and geometry
Extension
Georgia filled a jug, a bottle and an empty ice cream container with water measured using a small, clean yogurt tub. The jug had a capacity of 14 yogurt tubs © R. I . C.Publ i cat i ons and the bottle held 21. The total capacity of •f orr evi ew pur posesonl y• all three containers was 88 yogurt tubs. What was the difference in yogurt tubs between the container that held the most and the container that held the least? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 22
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
12
Measurement and geometry When Blake woke up, the clock showed this time:
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
‘It’s much too early to get up!’ he said to himself and closed his eyes again. When he next opened his eyes forty-five minutes had passed. What time was it? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 23
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
12
Measurement and geometry
Extension
When Blake woke up, the clock showed this time: © R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
He was determined to set his alarm half an hour earlier the next day. What time will the alarm sound the next day? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 24
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
13
Measurement and geometry
A bunch of five bananas has a mass (weight) of 600 grams. Two crisp red apples weigh a total of 144 grams. Two small oranges together weigh 192 grams. © R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• Which piece of fruit weighs more—one banana, one apple or one orange?
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 25
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
13
Measurement and geometry
Extension
A bunch of five bananas has a mass (weight) of 600 grams. Two crisp red apples weigh a total of 144 grams. Two small oranges together weigh 192 grams. © R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• If all nine pieces of fruit were weighed together, how much would they weigh, in total, in grams?
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 26
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
5/01/2017 4:00 pm
14
Measurement and geometry
Courtney had one black semicircle, one light blue circle and one dark blue oval to make a design. She cut each in half, as© R. I . C.Publ i cat i ons shown, to give herself •f orr evi ew pur posesonl y• more shapes to create her design. What is the total of the straight sides and the total of the curved sides of the shapes she now has for her design? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 27
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
14
Measurement and geometry
Extension
Courtney made a design with coloured paper shapes. She put one black semicircle on top of a light blue circle which was on top ©aR. I . C.Publ i cat i ons of, and in the middle of, dark f orr evi ew pu r poshapes sesonl yas • one blue oval. Then she•cut through the using the straight side of the semicircle as a guide. How many straight sides in total and curved sides in total do all the new shapes have after cutting? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 28
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
15
Measurement and geometry Name
Curved surfaces
Flat faces
sphere
1
0
0
6
0
6
0
5
triangle-based pyramid
0
4
cone
1
1
?
1
2
The class created a table cube to compare the curved rectangular prism/cuboid surfaces and flat faces of I . C.Publ i cat i o ns square-based some 3-D shapes.© R.
pyramid •f orr evi ew pur poseso nl y•
Someone forgot to name one of the 3-D shapes. What shape is it?
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 29
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
15
Extension
Measurement and geometry Curved surfaces
Flat faces
1
0
0
6
0
6
0
5
triangle-based pyramid
0
4
cone
1
1
?
1
2
Name sphere The class created a table cube to compare the curved rectangular surfaces and flat faces of prism/cuboid some 3-D shapes.© R. I . C.Publ i cat i ons
square-based pyramid •f orr evi ew pur poseso nl y•
Which two 3-D shapes have the most flat faces and the least curved surfaces?
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 30
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
SPORTS STORAGE
What was his destination?
CANTEEN
TOILET BLOCK
LIBRARY
E CAR PARK
UPPER PRIMARY CLASSROOMS
LOWER PRIMARY CLASSROOMS
MIDDLE PRIMARY CLASSROOMS
COMPUTER ROOM MUSIC ROOM
PLAYGROUND
VEGETABLE GARDEN
BICYCLE RACK
Bradley placed his bicycle in the rack and moved two squares south, then four © R. I . C. Publ i cat i ons W squares west, and two •f o rr evi ew pur posesonl y• squares north.
BUS STOP
N
STAFF ROOM
OFFICE
16
Measurement and geometry
S R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 31
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
VEGETABLE GARDEN
What group of classrooms does he belong to?
CANTEEN
TOILET BLOCK
LIBRARY
E CAR PARK
UPPER PRIMARY CLASSROOMS
LOWER PRIMARY CLASSROOMS
MIDDLE PRIMARY CLASSROOMS
MUSIC ROOM
PLAYGROUND
COMPUTER ROOM
Bradley took the following path from the bus stop: 3 squares west, 3 squares R. I . C. Publ i cat i ons W south, 1 square east©and orr evi ew pur posesonl y• 1 square north. •f
BICYCLE RACK
SPORTS STORAGE
BUS STOP
N
STAFF ROOM
OFFICE
16
Extension
Measurement and geometry
S R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 32
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
17
Measurement and geometry
New play equipment was installed at the local park. A sign stated that the height of the equipment was 3 metres and that it could only be used by children if they are 115 centimetres or taller. © R. I . C.Publ i cat i ons
Rose (110 cm tall), Robin (123 cm tall) •f orr evi ew pur posesonl y• and Tess (135 cm tall) wanted to use the equipment. Who will and won’t be able to use the equipment? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 33
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
5/01/2017 4:05 pm
17
Measurement and geometry
Extension
New play equipment was installed at the local park. The sign next to it stated that the height of the equipment was 3 metres and that it could only be used by children if they are 115 centimetres or taller. ©a R. I . C.Publ i cat i ons John, who was one and quarter or r evi ew p posesonl y• metres tall, climbed•f to the top ofur the equipment. He held a 2-m flag 1⁄4 m above his head in the air.
What was the total height of the structure now to the top of the flag? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 34
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
5/01/2017 4:07 pm
18
Measurement and geometry
In pairs, the children estimated their weight and then weighed each other. Travis and Justin had the following results: ESTIMATE ACTUAL WEIGHT © R. I . C.Publ i cat i ons 18 kilograms 23 kilograms TRAVIS •f orr evi ew pur poses onl y• JUSTIN 30 kilograms 21 kilograms
Whose estimate was closest to the actual weight and by how many kilograms? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 35
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
18
Measurement and geometry
Extension
In pairs, the children had to estimate their weight and then weigh each other. Travis and Justin played a joke and got on the scales together.© They R. I . Cweighed .Publ i cat i ons •f orWhen r evi ewTravis pur posesonl y• a total of 51 kilograms. got off the scales and Justin stayed on, the scales showed 24 kilograms. What did Travis weigh? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 36
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
19
Measurement and geometry
Fruit juice can be bought in one- and twolitre bottles. Jane bought eight one-litre bottles of fruit juice and Joyce bought six two-litre bottles © R. I . C. Publ i cat i o ns f orr evi ew pur posesonl y• of the same fruit•juice. If each person poured their quantity of fruit juice into its own large bowl, who would need the larger bowl—Jane or Joyce?
2L
1L
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 37
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
19
Measurement and geometry
Extension
Fruit juice can be bought in one- and two-litre bottles. Jane prefers to buy one-litre bottles and Joyce prefers to buy two-litre bottles of the same © R. I . C.Publ i cat i ons fruit juice. •f orr evi ew pur posesonl y•
Joyce bought nine two-litre bottles for a party. How many one-litre bottles would Jane need to buy to have the same amount of fruit juice as Joyce?
2L
1L
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 38
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
20
Measurement and geometry
Chad was trying to improve his sprinting times. He set his watch to beep every 15 seconds and ran the © R. I . Cto .Pbeat ubl i cat i ons distance each time trying •f orr evi ew pur posesonl y• the beep. If his watch beeped 12 times, for how many seconds did he sprint?
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 39
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
20
Measurement and geometry
Extension
Every day Chad tried to increase the time he ran. On Monday he ran for 4 minutes. Over the next three days he ran 1 minute more each day. By Friday he was running ©R . I . Cprevious .Publ i cat i ons for 2 minutes more than the •f orr ev i ew pur p os esonl y• day. Every day he started training at the time shown on the clock. Will he finish training before 4:00 on Friday? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 40
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
21
Measurement and geometry The children were asked to cut the 2-D shapes below into halves along a line of symmetry.
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Which 2-D shape has the greatest number of lines of symmetry, and how many does it have? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 41
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
21
Measurement and geometry
Extension
The children were asked to cut the 2-D shapes below into halves along a line of symmetry. © R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Which shape below has not been created by cutting any of the shapes above along a line of symmetry?
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 42
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
22
Measurement and geometry
The class had to choose from the following 3-D shapes— sphere, cube and cylinder—to answer the question below. Which 3-D shape has 3 more corners than a square-based © Ra . I . C .Publ i cat i ons pyramid? pyramid and 4 more than triangular-based •f orr evi ew pur posesonl y•
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 43
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
22
Measurement and geometry
Extension
The class had to choose from the following 3-D shapes— sphere, cube, rectangular prism/cuboid, square-based pyramid, triangular-based pyramid, cone and cylinder—to answer the © R. I . C.Publ i cat i ons question below. •f orr evi ew pur posesonl y•
Which four 3-D shapes have 4 or less vertices or corners?
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 44
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
23
Measurement and geometry
Georgina used a shape to make an interesting piece of artwork. The black shape shows the original position of the shape. © R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
What colour are the shapes that have moved through a one-step slide? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 45
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
23
Measurement and geometry
Extension
Georgina used a shape to make an interesting piece of artwork. The black and green shapes © R. I . C.Publ i cat i ons show the original positions.
•f orr evi ew pur posesonl y•
What colour are the shapes that have been flipped from the originals?
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 46
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
24
Measurement and geometry
A study of the equine family showed a clear difference in height. The height of a horse is about 16 hands. The height of a donkey is 4 hands less aubl © Rthan . I . C.P i cat i ons •f orr eva i epony w pur posesonl y• horse and the height of is 2 hands more than a donkey. What are the animals’ heights in order from shortest to tallest? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 47
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
24
Measurement and geometry
Extension
A study of the equine family showed a clear difference in height. The height of a horse is about 16 hands. The height of a donkey is 4 hands less than a horse and the height of a pony is 2 hands more than a donkey. The height of the smallest is © R. I . Csubtracted .Publ i cat i ons •f orr evi e w pu r posesonl y• from the second tallest and the height of the second tallest is subtracted from the height of the tallest. What is the common difference in height between the animals? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 48
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
25
Measurement and geometry
When full, a baby’s bottle contains 180 mL. The baby drank from the © R. I . C. Publ i cat i ons bottle four times until it was empty.
•f orr evi ew pur posesonl y•
How many mL in total had the baby drunk by the third time?
180 150
1
120 90 60
2 3
30
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 49
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
25
Extension
Measurement and geometry
When full, a baby’s bottle contains 180 mL. The baby drank from the © R. I . C. Publ i cat i ons bottle four times until it was empty.
•f orr evi ew pur posesonl y•
Which times did the baby drink the same amount?
180 150
1
120 90 60
2 3
30
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 50
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
26
Measurement and geometry
Jade watched her favourite show, which started at 3 o’clock and finished at 4 o’clock. Commercials kept interrupting © R. I . C.Pthe ubl i cat i ons f orr ev i ew p ur pose sonl y • show so she timed• them. Two lasted three minutes each, four lasted two minutes each and three lasted for one minute each. How long did the commercials last in total and how much actual time was spent watching the show? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 51
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
26
Measurement and geometry
Extension
Jade watched her favourite show, which started at 3 o’clock and finished at 4 o’clock. Commercials kept interrupting © R. I . C.Pthe ubl i cat i ons f orr ev i ew p ur pose sonl y • show so she timed• them. Two lasted three minutes each, four lasted two minutes each and three lasted for one minute each. What time would the show finish if all the commercials were removed? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 52
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
27
Measurement and geometry May
The date of Steve’s play Sun. Mon. Tues. Wed. is circled on the calendar. Practice must begin at 4 5 6 7 I . C.11 Publ i cat i on 12 13s 14 least two weeks before© R. •f o rr evi ew18pur p oses20 onl y• 19 21 and can only be held on 25 26 27 28 Tuesdays and Thursdays.
Thurs.
Fri.
Sat.
1
2
3
8
9
10
15
16
17
22
23
24
29
30
What is the day and date the first practice can be held?
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 53
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
27
Extension
Measurement and geometry May
The date of Steve’s play Sun. Mon. Tues. Wed. is circled on the calendar. A special performance 4 5 6 7 © R. I . C.11 Publ i cat i on 12 13s 14 will be held at the nursing •f orr evi ew18pur p oses20 onl y• 19 21 home one week and three 25 26 27 28 days later.
Thurs.
Fri.
Sat.
1
2
3
8
9
10
15
16
17
22
23
24
29
30
What is the day and date of the special performance?
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 54
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
28
Measurement and geometry
Kylie wanted to make two of the 3-D shapes shown but only had two circles, one rectangle, one © R. I . C. Publ i cat i ons square and four • triangles to p use. f orr evi ew ur posesonl y• Which two 3-D shapes can Kylie make?
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 55
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
28
Measurement and geometry
Extension
Kylie combined the same number of the same 2-D shape in different ways, then folded and taped them together. Each time she created the same 3-D shape. © R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Which 3-D shape did she create? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 56
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
29
Measurement and geometry
Jacob sorted and compared the following shapes by the number of edges each has: a rectangular prism/cuboid, a square-based pyramid and a triangular-based pyramid.
© R. I . C.Publ i cat i ons •f o rr ev i ew pur poses onl y• Jacob wants to order the shapes from the one
with the least number of edges to the one with the most edges. What would the order of the three 3-D shapes be? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 57
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
29
Measurement and geometry
Extension
Jacob sorted and compared the following shapes by the number of faces each has: a sphere, cone and cylinder. Jacob wants to order the from the © Rshapes . I . C.Pub l i cat i o ns •f orr evi e pur po ses onl y• one with the most number ofwfaces to the one with the least number of faces. What would the order of the three 3-D shapes be? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 58
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
30
Measurement and geometry This shape was rotated (turned) four times from its original position. threequarter half turn whole turn turn © R. I . C.Publ i cat i ons
quarter turn
original
•f orr evi ew pur posesonl y•
Which turn shows the shape looking identical to the quarter turn? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 59
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
30
Measurement and geometry
Extension
This shape was rotated (turned) four times from its original position. threequarter whole turn turn © R. I . C.Publ i cat i ons
quarter turn
original
half turn
•f orr evi ew pur posesonl y•
Which turns show the shape looking identical to the original? R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 60
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
Measurement and geometry – Answers Card 7
Extension
Bill has the biggest head by 3 blocks. less than 100
Card 2 Extension
24 hand shapes the chair seat
Card 8 Extension
Card 3 Extension
three (3) marbles the side with the milk carton
Table 5 giving the teacher her homework
Card 9
Extension
Card 4 Extension
Clock 2 1 ⁄3 of an hour (20 minutes)
eraser—5 cm; pencil—16 cm; ruler—38 cm ruler—19 cm; pencil—11 cm; eraser—5 cm
Card 5 Extension
70 grams Xin’s estimate was closest.
Card 16 Extension
the playground Middle Primary classroom
Card 6
The totals were equal. two from each shape
book, water bottle, ruler 60 blocks; 50 shells; 200 cubes
Card 17
Will—Robin and Tess; Won’t—Rose 6 1⁄2 m
Card 1
Extension
Extension
rectangular prism/ cuboid cube
Card 12 Extension
quarter past 8 or 8:15 quarter to 8 or 7:45
Card 13 Extension
one banana 936 grams
Card 14
8 straight lines; 6 curved sides 5 straight sides; 5 curved lines
Card 15 cylinder © R. I . C.Pub l i cat i o ns Extension cube and rectangular prism/cuboid •f orr evi ew pur poses onl y•
Extension
Card 10 Extension Card 11 Extension
53 yogurt tubs 39 yogurt tubs
Extension
Card 18 Extension
Travis’ estimate by 5 kilograms Travis weighed 27 kilograms.
Card 19 Extension
Joyce 18 one-litre bottles
Card 20 Extension
180 seconds Yes
Card 21
square—four lines of symmetry Shape 6
Extension Card 22 Extension
cube sphere, triangularbased pyramid, cone and cylinder
Card 23
red, orange and green red and orange
Extension
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 61
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm
Measurement and geometry – Answers Card 24
Extension Card 25 Extension
donkey—12 hands, pony—14 hands, horse—16 hands two (2) hands 120 mL first and third, second and fourth
17 minutes, 43 minutes; Extension: 3:43 Card 26
Card 27 Extension
Thursday, 1 May Monday, 26 May
Card 28
cylinder and squarebased pyramid a cube
Extension
Card 29
Extension Card 30 Extension
triangular-based pyramid, squarebased pyramid, rectangular prism/ cuboid cylinder, cone, sphere three-quarter turn half turn and whole turn
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
R.I.C. Publications® Prim-Ed Publishing
Two f ish add ...
YR2 green MATHS PROBLEM SOLVING_Measur & Geo.indd 62
?
•
•
•
A B C 3 6 9
5+2=7 8–3=5
BOX 2
22/12/2016 12:00 pm