Multiplying, dividing and mixed operations · Ages 8–9
Bar models for word problems worksheet
Part of: Order of operations and brackets
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Bar models for word problems worksheet
Multiplying, dividing and mixed operations · Ages 8–9
Numsprite
numsprite.com
Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.Look at the bar model. What number does “?” stand for?
Answer:
2.Look at the bar model. What number does “?” stand for?
Answer:
3.Look at the bar model. How much does B have?
Answer:
4.Look at the bar model. What is the difference between A and B?
Answer:
Part B: Choose, or true or false (2 marks each)
5.Look at the bar model. Which number sentence finds how much A has?
- A. 108 − 39
- B. 108 + 108 − 39
- C. 39
- D. 108 + 39
Choose the right answer
Answer:
6.“A has 29. B has 11 more than A. How many does B have?” Which bar model shows this problem?
- A
- B
- C
- D
Choose the right picture
Answer:
7.“A has 117. B has 58 more than A. How many does B have?” Which bar model shows this problem?
- A
- B
- C
- D
Choose the right picture
Answer:
8.“A has 58. B has 49 more than A. How many does B have?” Which bar model shows this problem?
- A
- B
- C
- D
Choose the right picture
Answer:
9.“A has 106. B has 48 more than A. How many does B have?” Which bar model shows this problem?
- A
- B
- C
- D
Choose the right picture
Answer:
10.“A has 78. B has 30 more than A. How many does B have?” Which bar model shows this problem?
- A
- B
- C
- D
Choose the right picture
Answer:
11.“A has 28. B has 48 more than A. How many does B have?” Which bar model shows this problem?
- A
- B
- C
- D
Choose the right picture
Answer:
12.“A has 61. B has 24 more than A. How many does B have?” Which bar model shows this problem?
- A
- B
- C
- D
Choose the right picture
Answer:
Part C: Word problems (4 marks each)
13.A cha chaan teng sold 196 drinks today: 32 were milk tea and the rest lemon tea. How many lemon teas were sold?
Working:
Answer:
14.Tsz-hin has $62. May has $45 less than Tsz-hin. How much does May have?
Working:
Answer:
15.Ming and Tsz-hin have 174 cards altogether, and Ming has 4 more than Tsz-hin. How many cards does Tsz-hin have?
Working:
Answer:
16.Chi-keung has saved 69 stickers, and Ka-yee has 20 more than Chi-keung. How many stickers do they have altogether?
Working:
Answer:
17.Ming has a ribbon 249 cm long and cuts it into three pieces: the first 40 cm and the second 50 cm. How long is the third?
Working:
Answer:
18.Ka-yan has $160. May has $51 less than Ka-yan. How much does May have?
Working:
Answer:
Show the answers and working
Bar models for word problems worksheet: Answers and working
Part A: Working out and filling in
1. 187
Is “?” the whole or one part? Putting the two parts together gives the whole.
“?” is the whole: part + part = whole, 136 + 51 = 187.
2. 23
Is “?” the whole or one part? The whole minus the known part gives the other part.
The whole is 104 and one part is 81: the other part is whole − known part, 104 − 81 = 23.
3. 102
Is B's bar longer or shorter than A's? The extra stretch is the difference.
B's bar is longer, by 55: bigger = smaller + difference, 47 + 55 = 102.
4. 27
The extra stretch is the difference: take the smaller away from the bigger.
The extra stretch is the difference: bigger − smaller, 90 − 63 = 27.
Part B: Choose, or true or false
5. A. 108 − 39
Is A's bar longer or shorter than B's? To find the smaller amount, do you add or subtract?
Smaller = bigger − difference: 108 − 39 = 69.
6. C
Does the problem compare two people, or is it parts and a whole? Then see where the “?” should go.
Compare two amounts: A is 29, B's bar is longer by 11, and the “?” goes on the whole of B's bar.
7. D
Does the problem compare two people, or is it parts and a whole? Then see where the “?” should go.
Compare two amounts: A is 117, B's bar is longer by 58, and the “?” goes on the whole of B's bar.
8. D
Does the problem compare two people, or is it parts and a whole? Then see where the “?” should go.
Compare two amounts: A is 58, B's bar is longer by 49, and the “?” goes on the whole of B's bar.
9. C
Does the problem compare two people, or is it parts and a whole? Then see where the “?” should go.
Compare two amounts: A is 106, B's bar is longer by 48, and the “?” goes on the whole of B's bar.
10. C
Does the problem compare two people, or is it parts and a whole? Then see where the “?” should go.
Compare two amounts: A is 78, B's bar is longer by 30, and the “?” goes on the whole of B's bar.
11. C
Does the problem compare two people, or is it parts and a whole? Then see where the “?” should go.
Compare two amounts: A is 28, B's bar is longer by 48, and the “?” goes on the whole of B's bar.
12. C
Does the problem compare two people, or is it parts and a whole? Then see where the “?” should go.
Compare two amounts: A is 61, B's bar is longer by 24, and the “?” goes on the whole of B's bar.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 164 cups
Draw one bar for all 196 drinks, split into milk tea and lemon tea. Which part is the “?”?
One bar for all 196, split into milk tea 32 and lemon tea “?”: 196 − 32 = 164.
14. 17 dollars
Draw two bars: is May's longer or shorter than Tsz-hin's? To find the smaller amount, add or subtract?
Two bars: May's is shorter, by 45. Smaller = bigger − difference: 62 − 45 = 17.
15. 85 cards
Draw two bars, Ming's longer by 4. Take the extra stretch away first, and the two bars left are equal.
Two bars, Ming's longer by 4. Take the extra stretch off: 174 − 4 = 170, leaving two equal bars: 170 ÷ 2 = 85.
16. 158 stickers
First find Ka-yee's amount: 20 more than Chi-keung's 69. Then the total.
First Ka-yee: 69 + 20 = 89; then altogether: 69 + 89 = 158.
17. 159 cm
Draw one bar for all 249 cm, cut into three. What do you do with the two pieces you know?
One bar for all 249 cm, cut in three; the third = whole − the other two: 249 − 40 − 50 = 159.
18. 109 dollars
Draw two bars: is May's longer or shorter than Ka-yan's? To find the smaller amount, add or subtract?
Two bars: May's is shorter, by 51. Smaller = bigger − difference: 160 − 51 = 109.
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