Challenging Word Problems Cassy Turner singaporemathsourcecom Cassysingaporemathsourcecom Twitter Bio Passionate about Singapore Math Teacher TrainerCoach Treasure Hunter Learner Answer to the ultimate question 42 ID: 131659
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Ask the Expert:
Challenging Word Problems
Cassy TurnerSlide2Slide3
singaporemathsource.com
Cassy@singaporemathsource.com
Twitter Bio:
Passionate about Singapore Math, Teacher Trainer/Coach, Treasure Hunter, Learner, Answer to the ultimate question? 42.
Slides at:
bitly.com/
sdehandoutsSlide4Slide5
What is problem solving?Slide6
Polya’s
Steps in Problem Solving
See Plan
Do Look BackSlide7
Part Whole Models
Donna has 6 bananas.
Mary has 8 bananas. They have ?
bananas altogether.
Donna
MarySlide8
Part-Whole models
Donna has 6 bananas.
Mary has 8 bananas.
They have ? Bananas altogether.DonnaMary68?
They have 14 bananas altogether.Slide9
Add challenge
Donna has
46 bananas. Mary
has 28 bananas. They have ? bananas altogether.DonnaMary4628?
They have 74 bananas altogether.Slide10
Provide variation
Donna has 52 bananas.
The girls have 96 bananas altogether.How many bananas does Mary have?
DonnaMary?5296Mary has 44 bananas.Slide11
Provide variation
Mary has 44 bananas.
The girls have 96 bananas altogether.How many bananas does Mary have?
DonnaMary44?96Donna has 52 bananas.Slide12
Part-Whole models
…for multiplication and division introduce the concept of “equal parts/groups”.Slide13
Comparison Models
There were
19 boys and 14 girls at the track meet. How
many more boys than girls were at the track meet?boysgirls?14
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Comparison Models
There were
19 boys at the track meet. There were 4 fewer girls than boys. How
many girls were at the track meet?boysgirls4?
19Slide15
Multi-steps Provide Challenge
James, Tom,
and Cal collected a total of 48
baseball caps. James collected 31 caps. Tom collected 19 caps. How many caps did Cal collect ?JamesTom48Cal31
?
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Sam had 366 stamps in his stamp collection. He had 98 fewer stamps than Thomas. How many stamps do they have altogether?
Step 1:
How many stamps does Thomas have?
Step 2:How many stamps do they have altogether?ThomasSam?366
98
?
366 + 98 = 464 stamps
Thomas has 464 stamps.
464 + 366 = 830
The boys had
830
stamps altogether.
Thomas
Sam
?
366
?
464Slide17
6.
Suriya spent
of his pocket money on a book and
of what was left on a movie. If he had $10 left, How much was his pocket money? Slide18
4.
Ron had 5 times as much money as Tim. If Ron had $504 more than Tim, How much money did Ron and Tim have altogether?Slide19
1. Andy
had some money in his wallet. After receiving $38 from his father and $189 from his mother, he went to town to buy a pair of rollerblades, which cost $98. Then he spent $24 on food and found that he had $182 left. How much money did Andy have in his wallet at first?Slide20
2. John
had an equal number of pins and hats in the schools store. After selling 15 of the hats, the number of pins left was 4 times the number of remaining hats. How many pins and hats did he have in all at first?Slide21
5.
1 knife and 1 bowl cost $37. 2 such knives and 5 such bowls cost $89. Find the cost of 1 knife.Slide22
7.
Sean gave
of his stamps to April. He gave
of what was left to Mickey and the remaining stamps to SueWhat fraction of Sean’s stamps were given to Mickey?What fraction of Sean’s stamps were given to Sue? Slide23
9.
Jessica went shopping with $250. She spent
of her money on a bicycle and of her remaining money on some clothes. How much money did Jessica have left
? Slide24
10.
of
the students in the auditorium are girls. There are 48 more girls than boys in the auditorium. How many students are in the auditorium?
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12.
Dot and Mike had 120 comic books altogether. After Dot sold
of her comic books and Mike sold 35 of his, they had the same number of comic books left. How many comic books did they each have at first?
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14.
Josh saved 30% of his monthly salary and spent 20% of the remainder on food. If he had $280 left, how much was his monthly salary?Slide27
Want answers?
Find fully worked solutions
to all the problems :http://singaporemathsource.com/bar-model-solutions/Slide28
Links and info:
SingaporeMathSource
.com
Cassyt@gmail.comSlide29Slide30
3.
Mr. Tan bought 6 magazines and 3 books for $63. A magazine cost $3 less than a book. Find the cost of each magazine.Slide31
8.
A T-shirt cost $2 less than a pair of shorts. A dress shirt cost $13 more than the pair of shorts. Jill bought 5 of each item. If she paid $205 altogether, how much did each t-shirt cost?Slide32
11.
The sum of four numbers is 203.3. The 2nd number is 9.24 more than the 1st number. The 3rd number is 11.05 more than the 2nd number. The 4
th number is 21.91 less than the 3rd number. What is the greatest number?Slide33
15. 25% of a class of 32 pupils are boys. If some more boys join the class, the percentage of boys increases to 40%. How many boys join the class?Slide34
16. Rae bought 100 oranges and 46 apples. After she used an equal number of oranges and apples for making fruit juice. The ratio of her remaining oranges to apples became 5:2. Find the total number of oranges and apples she used.Slide35
17. Robin ate some peanuts on Sunday. On Monday she ate 2 more peanuts than on Sunday. On Tuesday, Wednesday, Thursday, Friday, and Saturday she ate 2 more peanuts than the day before. By Saturday night she had eaten 77 peanuts in the whole week. How many peanuts did Robin eat on Wednesday?Slide36
13. Zack and June had 140 stamps altogether. After Zack gave
of his stamps away and June gave
of her stamps away, they had the same number of stamps left. How many more stamps than June did Zack have at first?
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The difference between two numbers is 2,184. If the bigger number is 3 times the smaller number, find the sum of the two numbers.Slide38
The sides of a triangle are in the ratio 4:5:6. If the perimeter of the triangle is 60 cm, find the length of the shortest side.
60 cm
?
15 ⃞
60 cm
1
⃞
60 cm
÷ 15 = 4cm
S
hortest side
4 cm x 4
⃞
=16 cm.
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