Math Problem Solutions with English Towns, Cubes, Stamps & Toy Cars

This table shows the
number of people living
in various towns in
England.
a) What is the total of the numbers of
people living in Formby and in Telford?
 
  1 6 6 6 4 0
+   2 4 4 7 8
 
8
 
1
 
1
 
1
 
9
 
1
 
1
 
1
 
1
b) How many more people live in Bedford
than Dover?
 
  8 2 4 4 8
-
 
3 4 0 8 7
 
3
 
1
 
1
 
7
 
1
 
6
 
3
 
8
 
4
a) Seb has a box of 120 cubes. He uses some of the cubes to build
a tower. 77 cubes are left over. How many cubes has he used?
b) Seb has 77 cubes left over. He builds two more towers. One
tower uses 18 cubes and the other uses 35 cubes. How many of his
77 cubes has he got left now?
 
  1 2 0
-   7 7
 
1
 
1
 
3
 
0
 
1
 
4
 
43
 
He has used
43 cubes.
 
  1 8
+
 
3 5
 
1
 
3
 
5
 
  7 7
-
 
5 3
 
4
 
2
 
He has 24
cubes left now.
 
24
George has 739 stamps in two albums. 294 are in his blue album and he had
158 British stamps in his red album. How many foreign stamps are there in his
red album?
Total blue or red British
 
?
452
 
294 + 158 = 452
 
739 – 452 = 287
 
287
At the start of June, there were 1,793 toy cars in the shop.
During June,
• 8,728 more toy cars were delivered
• 9,473 toy cars were sold.
How many toy cars were left in the shop at the end of June?
 
 
 
1 7 9 3
+ 8 7 2 8
 
1
 
1
 
2
 
5
 
1
 
1
 
1 0
 
  1 0 5 2 1
-
 
  
 9 4 7 3
 
1
 
1
 
8
 
4
 
1
 
4
 
0
 
There were
1048 toy cars
left in the shop
at the end of
June.
 
1048
 
1
There are eight more people on the upper deck of a boat than on the lower
deck. There are 27 people on the lower deck. How many people are on the boat
altogether?
 
8
People
on the
boat
62
 
27 + 8 = 35
 
35 + 27 = 62
 
62 people are on the boat altogether.
A total of 1872 people live in a village. 539 are men. 617 are women. How
many children live in the village?
 
1872
 
617 + 539 = 1156
 
1872 – 1156 = 716
 
716
 
1156
 
716 children live in the village.
The afternoon performance of a play is watched by 217 people. 146 more
people watch the evening performance than the afternoon performance. How
many people watch the two performances altogether?
 
Afternoon
 
Evening
People
watching
 
217 + 146 = 363
 
363
 
217 + 363 = 580
580
 
580 people watch the
two performances.
In an election the winning candidate received 12 369 votes. The only other
candidate received 3517 fewer. How many people voted?
 
Winner
 
Other
 
3517
People
who
voted
 
12369 – 3517 = 8852
 
8852
 
12369 + 8852 = 21221
21221
 
21221 people voted.
There are 83 children on a playground. 46 go in for lunch. 29 come out from
lessons. How many children are on the playground now?
In playground now
66
 
83 + 29 = 112
 
112 – 46 = 66
 
83 - 46 = 37
 
37 + 29 = 66
 
66 children are on the playground now.
 
There are 83 children on a playground. 46 go in for lunch. 29 come out from
lessons. How many children are on the playground now?
66
37
In one day 72 guests arrive at a hotel and 27 leave. There are now 219 people
staying there. How many people were staying at the hotel at the start of the
day?
 
219
 
219 + 27 = 246
 
246
 
246 – 72 = 174
 
174
 
174 people were staying at the
hotel at the start of the day.
 
In one day 72 guests arrive at a hotel and 27 leave. There are now 219 people
staying there. How many people were staying at the hotel at the start of the
day?
 
219
 
246
45
 
72 – 27 = 45
 
219 – 45 = 174
 
174
In an election 32736 people vote. 14485 vote for the winner and 13726 for
the candidate in second place. How many people vote for the other candidate?
People
who vote
 
13726
 
32736
 
?
 
14485 + 13726 + __ = 32736
 
28211 + __ = 32736
 
28211
 
32736 – 28211 = 4525
 
4525
Elroy's book has 407 pages. He is on page 186. He reads another 59 pages.
How many pages are left?
Total pages read
 
?
245
 
186 + 59 = 245
 
407 – 245 = 162
 
162
In an orchard there are 168 apple trees, 126 pear trees and 75 cherry trees.
How many trees are there in the orchard altogether?
 
168 + 126 + 75 = 369
?
369
Trees in the orchard
There are 260 children and 87 fewer adults in a cinema. How many people are
in the audience altogether?
People in
the
audience
 
87
 
?
?
 
87
 
260 – 87 = 173
 
173
 
260 + 173 = 433
433
There are 113 children in Year 5. 58 are boys. 36 of the girls are in the
choir. How many of the Year 5 girls are not in the choir?
 
58 + 36 = 94
 
113 – 94 = 19
 
?
 
19
 
Girls not
in choir
94
Boys + girls in choir
One tin has 84 biscuits. Another has 48. 97 are eaten. How many are left?
 
84 + 48 = 132
 
?
 
35
 
132 - 97 = 35
132
Total biscuits
A farmer has 157 brown cows and 183 black and white cows. 251 of the cows
have been milked. How many have not been milked?
 
?
 
89
340
Total cows
 
157 + 183 = 340
 
340 – 251 = 89
A shop makes 100 sandwiches.
All the sandwiches are either cheese or tuna.
Some of the sandwiches also have salad with the cheese or tuna.
30 sandwiches have cheese with salad.
15 sandwiches have tuna without salad.
75 sandwiches have salad.
How many sandwiches have cheese without salad?
 
10 sandwiches have cheese without salad.
A supermarket has 1350 bottles of milk for sale. There are 169 more green
top than red top bottles. 465 of the bottles are red top. How many blue top
bottles are for sale?
 
Bottles
of milk
 
169
 
?
 
465
 
1350
 
169
 
465 + 169 = 634
 
643 + 465 + __ = 1350
 
?
 
634 + 465 = 1099
 
1350 – 1099 = 251
 
251
 
634
In one month a supermarket sells 5847 cans of tomato soup, 3734 cans of
vegetable soup and 2485 cans of chicken soup. The combined sales of these
three varieties is 3728 greater than the total sales of all the other varieties
of soup. How many cans of soup were sold during the month altogether?
 
3728
Tomato + Vegetable + Chicken
 
5847 + 3734 + 2485 = 12066
12066
 
12066 – 3728 = 8338
Cans of
soup
 
12066 + 8338 = 20404
20404
74 fewer children come to school by car than walk. 211 walk. 65 come in other
ways. How many children go to the school?
Children
in the
school
 
74
 
?
?
 
74
 
211 – 74 = 137
 
137
 
211 + 137 + 65 = 413
413
Jocelyn has £8376 in her bank account. In the next month, she takes out
£4595 for a new car and a further £1806. Her salary of £2649 is paid in.
How much is in her account at the end of the month?
End of month account
Total earned
Total spent
 
£8376 + £2649 = £11025
£11025
 
£4595 + £1806 = £6401
£6401
 
£11025 - £6401 = £4624
£4624
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Solve math problems involving the populations of English towns, number of cubes used to build towers, stamp collections, and toy car inventory. Calculate totals, differences, and remaining quantities based on given data.

  • Math Problems
  • English Towns
  • Cubes
  • Stamps
  • Toy Cars

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  1. This table shows the number of people living in various towns in England. a) What is the total of the numbers of people living in Formby and in Telford? 1 1 1 1 6 6 6 4 0 + 2 4 4 7 8 1 9 1 Town Bedford Carlton Dover Formby Telford Population 82,448 48,493 34,087 24,478 166,640 1 8 1 b) How many more people live in Bedford than Dover? 31 1 7 8 2 4 4 8 -3 4 0 8 7 8 4 1 6 3

  2. a) Seb has a box of 120 cubes. He uses some of the cubes to build a tower. 77 cubes are left over. How many cubes has he used? 01 1 1 2 0 - 7 7 4 1 120 He has used 43 cubes. 77 left over 43 used 3 b) Seb has 77 cubes left over. He builds two more towers. One tower uses 18 cubes and the other uses 35 cubes. How many of his 77 cubes has he got left now? 77 18 35 +3 5 5 1 1 8 7 7 He has 24 cubes left now. -5 3 2 24 left 3 4

  3. George has 739 stamps in two albums. 294 are in his blue album and he had 158 British stamps in his red album. How many foreign stamps are there in his red album? Total stamps Blue album Red - British Red - foreign Total blue or red British 739 158 287 294 ? 294 + 158 = 452 739 452 = 287 452

  4. At the start of June, there were 1,793 toy cars in the shop. During June, 8,728 more toy cars were delivered 9,473 toy cars were sold. How many toy cars were left in the shop at the end of June? 1793 8728 delivered 9473 sold left 1048 1 1 1 4 1 1 There were 1048 toy cars left in the shop at the end of June. 1 7 9 3 + 8 7 2 8 5 1 0 1 0 5 2 1 9 4 7 3 0 1 1 - 8 4 1 2

  5. There are eight more people on the upper deck of a boat than on the lower deck. There are 27 people on the lower deck. How many people are on the boat altogether? Upper deck 35 27 People on the boat 62 Lower deck 8 27 + 8 = 35 35 + 27 = 62 62 people are on the boat altogether.

  6. A total of 1872 people live in a village. 539 are men. 617 are women. How many children live in the village? 539 1156 1872 617 716 617 + 539 = 1156 1872 1156 = 716 716 children live in the village.

  7. The afternoon performance of a play is watched by 217 people. 146 more people watch the evening performance than the afternoon performance. How many people watch the two performances altogether? 217 217 Afternoon Evening People watching 580 146 363 217 + 146 = 363 217 + 363 = 580 580 people watch the two performances.

  8. In an election the winning candidate received 12 369 votes. The only other candidate received 3517 fewer. How many people voted? People who voted Winner Other 12369 21221 8852 3517 12369 3517 = 8852 12369 + 8852 = 21221 21221 people voted.

  9. There are 83 children on a playground. 46 go in for lunch. 29 come out from lessons. How many children are on the playground now? 83 46 Out from lessons 29 On playground already In for lunch In playground now 66 83 + 29 = 112 112 46 = 66 37 + 29 = 66 83 - 46 = 37 66 children are on the playground now.

  10. There are 83 children on a playground. 46 go in for lunch. 29 come out from lessons. How many children are on the playground now? 83 46 37 29 66

  11. In one day 72 guests arrive at a hotel and 27 leave. There are now 219 people staying there. How many people were staying at the hotel at the start of the day? 246 174 Already staying 72 arrive 27 leave 219 219 + 27 = 246 246 72 = 174 174 people were staying at the hotel at the start of the day.

  12. In one day 72 guests arrive at a hotel and 27 leave. There are now 219 people staying there. How many people were staying at the hotel at the start of the day? 246 174 Already staying 72 arrive 27 leave 45 72 27 = 45 219 45 = 174 219

  13. In an election 32736 people vote. 14485 vote for the winner and 13726 for the candidate in second place. How many people vote for the other candidate? Winner People who vote Second Other 14485 13726 28211 32736 ? 4525 14485 + 13726 + __ = 32736 28211 + __ = 32736 32736 28211 = 4525

  14. Elroy's book has 407 pages. He is on page 186. He reads another 59 pages. How many pages are left? Pages in book Pages he reads Pages left Page he is on Total pages read 407 59 162 186 ? 186 + 59 = 245 407 245 = 162 245

  15. In an orchard there are 168 apple trees, 126 pear trees and 75 cherry trees. How many trees are there in the orchard altogether? Apple trees Pear trees Cherry trees Trees in the orchard 75 168 126 369 ? 168 + 126 + 75 = 369

  16. There are 260 children and 87 fewer adults in a cinema. How many people are in the audience altogether? People in the audience Children in cinema Adults in cinema 87 260 433 ? ? 173 87 260 87 = 173 260 + 173 = 433

  17. There are 113 children in Year 5. 58 are boys. 36 of the girls are in the choir. How many of the Year 5 girls are not in the choir? Year 5 children Girls not in choir Girls in choir Boys Boys + girls in choir 58 + 36 = 94 113 94 = 19 113 19 58 36 ? 94

  18. One tin has 84 biscuits. Another has 48. 97 are eaten. How many are left? Total biscuits First tin Second tin Eaten Left 132 84 + 48 = 132 132 - 97 = 35 48 84 97 35 ?

  19. A farmer has 157 brown cows and 183 black and white cows. 251 of the cows have been milked. How many have not been milked? Total cows Brown cows Milked cows Black and white cows Not milked 340 157 + 183 = 340 340 251 = 89 183 157 89 ? 251

  20. A shop makes 100 sandwiches. All the sandwiches are either cheese or tuna. Some of the sandwiches also have salad with the cheese or tuna. 30 sandwiches have cheese with salad. 15 sandwiches have tuna without salad. 75 sandwiches have salad. How many sandwiches have cheese without salad? 100 sandwiches 75 salad 25 no salad 15tuna 10cheese 30 cheese 10 sandwiches have cheese without salad.

  21. A supermarket has 1350 bottles of milk for sale. There are 169 more green top than red top bottles. 465 of the bottles are red top. How many blue top bottles are for sale? Green top bottles Red top bottles 169 Blue top bottles Bottles of milk 634 ? 465 ? 251 1350 169 465 + 169 = 634 643 + 465 + __ = 1350 1350 1099 = 251 634 + 465 = 1099

  22. In one month a supermarket sells 5847 cans of tomato soup, 3734 cans of vegetable soup and 2485 cans of chicken soup. The combined sales of these three varieties is 3728 greater than the total sales of all the other varieties of soup. How many cans of soup were sold during the month altogether? Tomato + Vegetable + Chicken 12066 Tomato 5847 Vegetable 3734 Chicken 2485 Cans of soup 20404 Other 8338 3728 5847 + 3734 + 2485 = 12066 12066 3728 = 8338 12066 + 8338 = 20404

  23. 74 fewer children come to school by car than walk. 211 walk. 65 come in other ways. How many children go to the school? Walk Children in the school Car 74 Other 211 137 ? ? 413 74 65 211 74 = 137 211 + 137 + 65 = 413

  24. Jocelyn has 8376 in her bank account. In the next month, she takes out 4595 for a new car and a further 1806. Her salary of 2649 is paid in. How much is in her account at the end of the month? Total earned 11025 Salary paid in 2649 8376 Bank account at first New car 4595 Further 1806 End of month account 4624 Total spent 6401 8376 + 2649 = 11025 4595 + 1806 = 6401 11025 - 6401 = 4624

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