![Page 1: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/1.jpg)
11th March 2016, Friday
@ FPS
![Page 2: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/2.jpg)
Programme
Time Activity
3.30 p.m. to 3.45 p.m. Registration
3.45 p.m. to 5.00 p.m. Heuristics Skills - Guess and Check - Making Supposition
![Page 3: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/3.jpg)
Q1. Thomas collected 85 $2 notes and $10 notes during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect?
Method 1: Guess and Check
No. of $2 notes
Value of $2 notes
No. of $10 notes
Value of $10 notes
Total value
Check for $586
43 42 43 x $2 = $86 42 x $10 = $420 $86 + $420 = $506 X
38 47 38 x $2 = $76 47 x $10 = $470 $76 + $470 = $546 X
33 52 33 x $2 = $66 52 x $10 = $520 $66 + $520 = $586
![Page 4: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/4.jpg)
Q1. Thomas collected 85 $2 notes and $10 notes during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect?
Method 2: Supposition Suppose all the 85 notes are $2 notes,
85 x $2 = $170
$586 - $170 = $416 (shortfall)
For every 1 $10 note that replace a $2 note, $8 will fill the shortfall.
$10 - $2 = $8 extra to fill the shortfall
Thus 416 divided by 8 = 52 $10 notes are needed to fill the shortfall.
![Page 5: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/5.jpg)
Q2. Mrs Tan bought a total of 70 pens and files. Each pen cost $2 and each file cost $5. She paid a total of $203. How many files did Mrs Tan buy?
Method 1: Guess and Check No. of pens
Value of pens
No. of files
Value of files Total value
Check for $203
35 35 35 x $2 = $70 35 x $5 = $175 $70 + $175 = $245 X
40 30 40 x $2 = $80 30 x $5 = $150 $80 + $150 = $230 X
45 25 45 x $2 = $90 25 x $5 = $125 $90 + $125 = $215 X
49 21 49 x $2 = $98 21 x $5 = $105 $98 + $105 = $203
![Page 6: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/6.jpg)
Q2. Mrs Tan bought a total of 70 pens and files. Each pen cost $2 and each file cost $5. She paid a total of $203. How many files did Mrs Tan buy?
Method 2: Supposition
Suppose Mrs Tan bought 70 pens,
70 x $2 = $140
$203 - $140 = $63 (shortfall of $63)
For every 1 file that replace 1 pen, $3 will fill the shortfall.
$5 - $2 = $3 extra to fill the shortfall.
Thus $63 divided by $3 = 21 (21 files are needed to fill the shortfall)
![Page 7: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/7.jpg)
Q3. There are a total of 98 wheels in a carpark. There are a total of 36 cars and motorcycles. How many cars are there in the carpark?
Method 1: Guess and Check
No. of cars No. of car wheels
No. of motorcycles
No. of m/c wheels
Total no. of wheels
Check for 98 wheels
18 18 18 x 4 = 72 18 x 2 = 36 72 + 76 = 108 X
16 20 16 x 4 = 64 20 x 2 = 40 64 + 40 = 104 X
13 23 13 x 4 = 52 23 x 2 = 46 52 + 46 = 98
![Page 8: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/8.jpg)
Q3. There are a total of 98 wheels in a carpark. There are a total of 36 cars and motorcycles. How many cars are there in the carpark?
Method 2: Supposition Suppose there are 36 motorcycles in all,
36 x 2 wheels = 72 wheels
98 - 72 = 26 (shortfall of 26 wheels)
For every 1 car that replace 1 motorcycle, 2 wheels will fill the shortfall.
4 wheels – 2 wheels = 2 extra wheels to fill the shortfall.
Thus 26 divided by 2 = 13 (13 cars are needed to fill the shortfall)
![Page 9: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/9.jpg)
Reflection Time
• So far all the supposition methods are using shortfall.
• How about excess?
• Is supposition method still applicable?
![Page 10: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/10.jpg)
Q4. Thomas collected 85 $2 notes and $10 notes during Chinese New Year. He collected a total of $722. How many $2 notes did Thomas collect?
Method 2: Supposition Suppose all the 85 notes are $10 notes,
85 x $10 = $850
$850 - $722 = $128 (excess)
For every 1 $2 note that replace a $10 note, $8 will be taken away from the excess.
$10 - $2 = $8 ( $8 taken away from the excess of $128)
Thus 128 divided by 8 = 16 ( 16 $2 notes are needed to take away the excess of $128)
![Page 11: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/11.jpg)
Q5. There are a total of 128 wheels in a carpark. There are a total of 36 cars and motorcycles. How many motorcycles are there in the carpark?
Method 2: Supposition Suppose all the 36 vehicles are cars,
36 x 4 = 144
144 - 128 = 16 (excess wheels)
For every 1 motorcycle that replace 1 car, 2 wheels will be removed from the excess.
4 - 2 = 2 ( 2 wheels removed from the excess of 16)
Thus 16 divided by 2 = 8 ( 8 motorcycles are needed to remove the excess of 16 wheels)
![Page 12: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/12.jpg)
Q6. Mrs Tan bought a total of 70 pens and files. Each pen cost $2 and each file cost $5. She paid a total of $293. How many pens did Mrs Tan buy?
Method 2: Supposition Suppose Mrs Tan bought 70 files,
70 x $5 = $350
$350 - $293 = $57 (excess)
For every 1 pen that replace 1 file, $3 will be removed from the excess.
$5 - $2 = $3 ( $3 removed from the excess of $57)
Thus 57 divided by 3 = 19 ( 19 pens are needed to remove the excess of $57)
![Page 13: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/13.jpg)
Q7. Joshua scores a total of 33 points for attempting 15 questions in a quiz. For every correctly answered question, Joshua gets 5 points. For every wrong answer, he loses 2 points. How many questions has Joshua answered wrongly?
Method 1: Guess and Check
No. of correct ans
No. of points (+)
No. of wrong ans
No. of points (-)
Total no. of points
Check for 33 points
7 8 7 x 5 = 35 8 x 2 = 16 35 – 16 = 19 X
8 7 8 x 5 = 40 7 x 2 = 14 40 – 14 = 26 X
9 6 9 x 5 = 45 6 x 2 = 12 45 – 12 = 33
![Page 14: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/14.jpg)
Q7. Joshua scores a total of 33 points for attempting 15 questions in a quiz. For every correctly answered question, Joshua gets 5 points. For every wrong answer, he loses 2 points. How many questions has Joshua answered wrongly?
Method 2: Supposition Suppose all the 15 questions are correctly answered,
15 x 5 = 75
75 – 33 = 42 (excess points)
For every 1 wrong answer to replace 1 correct answer, 7 points will be
removed from the excess.
5 – (-2) = 5 + 2 = 7
Thus 42 divided by 7 = 6 ( 6 wrong answers are needed to remove the
excess of 42 points)
![Page 15: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/15.jpg)
Q8. Hafiq bought 24 red and blue balloons. He bought as many red balloons than blue balloons. Each red balloon cost $2 and each blue balloon cost $5. Hafiq spent $93 altogether. How many red balloons did he buy?
Method 1: Guess and Check
5
3
No. of red balloons
Amount spent on red balloons ($2)
No. of blue balloons
Amount spent on blue balloons ($5)
Total amount spent ($)
Check for $93
12 12 12 x $2 = $24 12 x $5 = $60 $24 + $60 = $84 X
3 5 3 x $2 = $6 5 x $5 = $25 $6 + $25 = $31 X
6 10 6 x $2 = $12 10 x $5 = $50 $12 + $50 = $62 X
9 15 9 x $2 = $18 15 x $5 = $75 $18 + $75 = $93
![Page 16: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/16.jpg)
Joshua scores a total of 33 points for attempting 15 questions in a quiz. For every correctly answered question, Joshua gets 5 points. For every wrong answer, he loses 2 points. How many questions has Joshua answered wrongly?
Method 2: Supposition Suppose all 24 balloons are blue,
24 x 5 = 120
120 - 93 = 27 (excess money)
For every 1 blue balloon to replace 1 red balloon, $3 will be
removed from the excess.
5 – 2 = 3
Thus 27 divided by 3 = 9 ( 9 red balloons to remove the excess of $27)
Q8. Hafiq bought 24 red and blue balloons. He bought as many red balloons than blue balloons. Each red balloon cost $2 and each blue balloon cost $5. Hafiq spent $93 altogether. How many red balloons did he buy?
5
3
![Page 17: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/17.jpg)
Q9. Sumei paid $828 for some wallets and handbags. Each wallet cost $22 and each handbag cost $4 more than each wallet. Sumei bought 6 more handbags than wallets. How many handbags did she buy?
Method 1: Guess and Check No. of wallets
Amount paid ($22)
No. of handbags
Amount paid ($26)
Total amount paid
Check for $828
10 16 10 x $22 = $220
16 x $26 = $416
$220 + $416 = $636
X
12 18 12 x $22 = $264
18 x $26 = $468
$264 + $468 = $732 X
14 20 14 x $22 = $308
20 x $26 = $520
$308 + $520 = $828
![Page 18: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/18.jpg)
Q9. Sumei paid $828 for some wallets and handbags. Each wallet cost $22 and each handbag cost $4 more than each wallet. Sumei bought 6 more handbags than wallets. How many handbags did she buy?
Method 2: Model (Grouping)
6 more handbags = 6 x $26 = $156
$828 - $156 = $672
1 group of 1 wallet and 1 handbag = $22 + $26 = $48
$672 ÷ $48 = 14 (14 groups of wallets and handbags)
14 + 6 = 20
6 HB
W
![Page 19: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/19.jpg)
• Monitor your child’s work.
- Study and
- Understand the problem.
- Plan a solution
- Execute the plan
- Review the answers
• Help your child develop good routines.
(using SUPER approach)
![Page 20: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/20.jpg)
Please complete the survey using the QR code. (Heuristics)
![Page 21: Thomas collected 85 $2 notes and $10 notes during Chinese ......during Chinese New Year. He collected a total of $586. How many $10 notes did Thomas collect? Method 2: Supposition](https://reader033.vdocument.in/reader033/viewer/2022052000/6012ed6a2c9f564af17c8649/html5/thumbnails/21.jpg)
Thank you for your Participation
Q & A