Math word problem worksheet for students with 12 real-life scenarios to solve.
A worksheet titled "Lucky Dip Word Problems" featuring 12 math word problems involving real-life scenarios such as toy collections, money, school populations, and travel. The problems are arranged in two columns with a CGP logo at the bottom left and the website "cgpbooks.co.uk" at the bottom right.
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Show Answer Key & Explanations
Step-by-step solution for: Lucky Dip Multi-Step Word Problems (Year 6) | CGP Plus
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Show Answer Key & Explanations
Step-by-step solution for: Lucky Dip Multi-Step Word Problems (Year 6) | CGP Plus
Here's the solution to all 12 “Lucky Dip Word Problems” from the CGP worksheet, with clear step-by-step explanations for each.
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Problem 1: Joseph has 189 toy cars in his collection. He gives 25 cars to his friend, and then receives 12 more as birthday presents. How many cars does he have now?
- Start: 189 cars
- Gives away 25 → 189 – 25 = 164
- Receives 12 → 164 + 12 = 176
✔ Answer: 176 cars
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Problem 2: Lucy has saved up £1023 from birthday and Christmas money to buy her first car. She spends £900 on the car and she needs £225 to pay for car insurance. How much more money does she need to save?
- Total needed = Car (£900) + Insurance (£225) = £1125
- She has £1023
- Shortfall = 1125 – 1023 = £102
✔ Answer: £102
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Problem 3: There are 766 pupils in a school. There are two Year 4 classes, which both have 28 pupils. How many pupils at school aren’t in Year 4?
- Year 4 pupils = 2 classes × 28 = 56
- Not in Year 4 = 766 – 56 = 710
✔ Answer: 710 pupils
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Problem 4: Captain Smith is a pilot and he has flown 240 miles each day for the last six days. He is only allowed to fly 1,600 miles per week. How far can he fly on the last day?
- Flown so far = 240 miles/day × 6 days = 1,440 miles
- Weekly limit = 1,600 miles
- Remaining = 1600 – 1440 = 160 miles
✔ Answer: 160 miles
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Problem 5: There are 1024 tickets for a concert. Half of the tickets have been reserved online and 364 tickets have been bought at the box office. How many tickets are still available?
- Reserved online = 1024 ÷ 2 = 512
- Bought at box office = 364
- Total used = 512 + 364 = 876
- Available = 1024 – 876 = 148
✔ Answer: 148 tickets
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Problem 6: Toni starts work at 9:00am in a hair salon. She has 10 appointments booked before lunch. Each appointment lasts 20 minutes. What is the earliest time that she can have lunch?
- 10 appointments × 20 minutes = 200 minutes
- 200 minutes = 3 hours 20 minutes (since 60×3=180; 200–180=20)
- Start time: 9:00am + 3h20m = 12:20pm
✔ Answer: 12:20pm
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Problem 7: In an orchestra there are 45 cellos. Each cello has four strings. Two of the cello players break a string. How many strings are left?
- Total strings = 45 cellos × 4 strings = 180
- Broken strings = 2
- Strings left = 180 – 2 = 178
✔ Answer: 178 strings
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Problem 8: In Year 6 there are three classes. One has 25 pupils and the other two have 26 pupils. Five Year 6 pupils are off sick today. How many Year 6 pupils are in school today?
- Total Year 6 pupils = 25 + 26 + 26 = 77
- Sick = 5
- In school = 77 – 5 = 72
✔ Answer: 72 pupils
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Problem 9: Lui has £1560 in his bank account. He spends half of that money on a holiday to New York. He spends another £120 on the electricity bill. How much does he have left?
- Half on holiday = 1560 ÷ 2 = £780
- Remaining after holiday = 1560 – 780 = £780
- Subtract electricity bill = 780 – 120 = £660
✔ Answer: £660
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Problem 10: Billie starts her shift at the hospital at 11:00am. She gets 40 minutes for lunch and her shift finishes at 5:00pm. If each procedure lasts for 40 minutes, how many could she fit in during her shift?
- Shift duration: 11:00am to 5:00pm = 6 hours = 360 minutes
- Subtract lunch: 360 – 40 = 320 minutes working
- Each procedure = 40 minutes
- Number of procedures = 320 ÷ 40 = 8
✔ Answer: 8 procedures
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Problem 11: Max has 1320 toy soldiers. He gives one third of these to his brother and then another 150 to his cousin. How many does he have left?
- One third to brother = 1320 ÷ 3 = 440
- Remaining after giving to brother = 1320 – 440 = 880
- Gives 150 to cousin → 880 – 150 = 730
✔ Answer: 730 toy soldiers
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Problem 12: Frankie has eight stops on his bus route. On the first four rounds he picks someone up at every stop and on the fifth round he only picks up passengers at five of the stops. How many stops does he pick people up at?
- First 4 rounds: 4 rounds × 8 stops = 32 stops
- Fifth round: 5 stops
- Total stops with pickups = 32 + 5 = 37
✔ Answer: 37 stops
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1. 176
2. £102
3. 710
4. 160 miles
5. 148
6. 12:20pm
7. 178
8. 72
9. £660
10. 8
11. 730
12. 37
Let me know if you’d like these formatted into a printable answer sheet or explained further!
---
Problem 1: Joseph has 189 toy cars in his collection. He gives 25 cars to his friend, and then receives 12 more as birthday presents. How many cars does he have now?
- Start: 189 cars
- Gives away 25 → 189 – 25 = 164
- Receives 12 → 164 + 12 = 176
✔ Answer: 176 cars
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Problem 2: Lucy has saved up £1023 from birthday and Christmas money to buy her first car. She spends £900 on the car and she needs £225 to pay for car insurance. How much more money does she need to save?
- Total needed = Car (£900) + Insurance (£225) = £1125
- She has £1023
- Shortfall = 1125 – 1023 = £102
✔ Answer: £102
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Problem 3: There are 766 pupils in a school. There are two Year 4 classes, which both have 28 pupils. How many pupils at school aren’t in Year 4?
- Year 4 pupils = 2 classes × 28 = 56
- Not in Year 4 = 766 – 56 = 710
✔ Answer: 710 pupils
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Problem 4: Captain Smith is a pilot and he has flown 240 miles each day for the last six days. He is only allowed to fly 1,600 miles per week. How far can he fly on the last day?
- Flown so far = 240 miles/day × 6 days = 1,440 miles
- Weekly limit = 1,600 miles
- Remaining = 1600 – 1440 = 160 miles
✔ Answer: 160 miles
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Problem 5: There are 1024 tickets for a concert. Half of the tickets have been reserved online and 364 tickets have been bought at the box office. How many tickets are still available?
- Reserved online = 1024 ÷ 2 = 512
- Bought at box office = 364
- Total used = 512 + 364 = 876
- Available = 1024 – 876 = 148
✔ Answer: 148 tickets
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Problem 6: Toni starts work at 9:00am in a hair salon. She has 10 appointments booked before lunch. Each appointment lasts 20 minutes. What is the earliest time that she can have lunch?
- 10 appointments × 20 minutes = 200 minutes
- 200 minutes = 3 hours 20 minutes (since 60×3=180; 200–180=20)
- Start time: 9:00am + 3h20m = 12:20pm
✔ Answer: 12:20pm
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Problem 7: In an orchestra there are 45 cellos. Each cello has four strings. Two of the cello players break a string. How many strings are left?
- Total strings = 45 cellos × 4 strings = 180
- Broken strings = 2
- Strings left = 180 – 2 = 178
✔ Answer: 178 strings
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Problem 8: In Year 6 there are three classes. One has 25 pupils and the other two have 26 pupils. Five Year 6 pupils are off sick today. How many Year 6 pupils are in school today?
- Total Year 6 pupils = 25 + 26 + 26 = 77
- Sick = 5
- In school = 77 – 5 = 72
✔ Answer: 72 pupils
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Problem 9: Lui has £1560 in his bank account. He spends half of that money on a holiday to New York. He spends another £120 on the electricity bill. How much does he have left?
- Half on holiday = 1560 ÷ 2 = £780
- Remaining after holiday = 1560 – 780 = £780
- Subtract electricity bill = 780 – 120 = £660
✔ Answer: £660
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Problem 10: Billie starts her shift at the hospital at 11:00am. She gets 40 minutes for lunch and her shift finishes at 5:00pm. If each procedure lasts for 40 minutes, how many could she fit in during her shift?
- Shift duration: 11:00am to 5:00pm = 6 hours = 360 minutes
- Subtract lunch: 360 – 40 = 320 minutes working
- Each procedure = 40 minutes
- Number of procedures = 320 ÷ 40 = 8
✔ Answer: 8 procedures
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Problem 11: Max has 1320 toy soldiers. He gives one third of these to his brother and then another 150 to his cousin. How many does he have left?
- One third to brother = 1320 ÷ 3 = 440
- Remaining after giving to brother = 1320 – 440 = 880
- Gives 150 to cousin → 880 – 150 = 730
✔ Answer: 730 toy soldiers
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Problem 12: Frankie has eight stops on his bus route. On the first four rounds he picks someone up at every stop and on the fifth round he only picks up passengers at five of the stops. How many stops does he pick people up at?
- First 4 rounds: 4 rounds × 8 stops = 32 stops
- Fifth round: 5 stops
- Total stops with pickups = 32 + 5 = 37
✔ Answer: 37 stops
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✔ Final Answers Summary:
1. 176
2. £102
3. 710
4. 160 miles
5. 148
6. 12:20pm
7. 178
8. 72
9. £660
10. 8
11. 730
12. 37
Let me know if you’d like these formatted into a printable answer sheet or explained further!
Parent Tip: Review the logic above to help your child master the concept of multi step problem solving worksheet.
