Ask the Expert: Challenging Word Problems Cassy Turner

1. Ask the Expert: Challenging Word ProblemsCassy Turner

3. Slides at: bitly.com/sdehandouts singaporemathsource.com Cassy@singaporemathsource.com Twitter Bio: Passionate about Singapore Math, Teacher Trainer/Coach, Treasure Hunter, Learner, Answer to the ultimate question? 42.

5. What is problem solving?

6. Polya’s Steps in Problem Solving • See • Plan • Do • Look Back

7. Part Whole Models Donna has 6 bananas. Mary has 8 bananas. They have ? bananas altogether. Mary Donna

8. Part-Whole models Donna has 6 bananas. Mary has 8 bananas. They have ?Bananas altogether. ? Donna Mary 8 6 They have 14 bananas altogether.

9. Add challenge Donna has 46 bananas. Mary has 28 bananas. They have ?bananas altogether. ? Donna Mary 28 46 They have 74 bananas altogether.

10. Provide variation Donna has 52 bananas. The girls have 96 bananas altogether. How many bananas does Mary have? 96 Donna Mary 52 ? Mary has 44 bananas.

11. Provide variation Mary has 44 bananas. The girls have 96 bananas altogether. How many bananas does Mary have? 96 Donna Mary ? 44 Donna has 52 bananas.

12. Part-Whole models …for multiplication and division introduce the concept of “equal parts/groups”.

13. Comparison Models There were 19 boys and 14 girls at the track meet. How many more boys than girls were at the track meet? 19 boys girls ? 14

14. 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? 19 boys girls 4 ?

15. 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 ? 31 James Tom 48 9 Cal ?

16. 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? ? 366 366 464 Thomas Sam Sam ? ? Thomas 464 + 366 = 830 The boys had 830 stamps altogether. ? 366 + 98 = 464 stamps Thomas has 464 stamps. 98

17. 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?

18. 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?

19. 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?

20. 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?

21. 5. 1 knife and 1 bowl cost $37. 2 such knives and 5 such bowls cost $89. Find the cost of 1 knife.

22. 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?

23. 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?

24. 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?

25. 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?

26. 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?

27. Want answers?Find fully worked solutions to all the problems :http://singaporemathsource.com/bar-model-solutions/

28. Links and info: SingaporeMathSource.com Cassyt @gmail.com

30. 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.

31. 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?

32. 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 4th number is 21.91 less than the 3rd number. What is the greatest number?

33. 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?

34. 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.

35. 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?

36. 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?

37. 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.

38. 60 cm 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. ? 15 ⃞  60 cm 1 ⃞  60 cm ÷ 15 = 4cm Shortest side  4 cm x 4 ⃞=16 cm.