五年级英语数学问题解决思路拓展练习题40题

五年级英语数学问题解决思路拓展练习题40题
1
<背景文章>
Tom went shopping at the supermarket. He bought an apple for 2 dollars, a banana for 1 dollar and a box of chocolates for 5 dollars. He also wanted to buy a notebook that costs 3 dollars. Tom had a 10-dollar coupon.
Tom thought about how much money he would spend in total. First, he added up the prices of all the items. The apple cost 2 dollars, the banana cost 1 dollar, the chocolates cost 5 dollars and the notebook cost 3 dollars. In total, all the items cost ___ dollars. Then he remembered he had a 10-dollar coupon. So, he subtracted the value of the coupon from the total cost of the items. After using the coupon, he would have to pay ___ dollars.
Tom was happy because he knew he could get all the things he wanted and still save some money.
1. How much does the apple cost?
A. 1 dollar
B. 2 dollars
C. 3 dollars
D. 4 dollars
答案：B。

解析：文章中明确提到“He bought an apple for 2 dollars.”，所以苹果的价格是2 美元。

2. How much does the banana cost?
A. 0 dollar
B. 1 dollar
C. 2 dollars
D. 3 dollars
答案：B。

解析：文中提到“a banana for 1 dollar”，香蕉价格是1 美元。

3. How much do the chocolates cost?
A. 4 dollars
B. 5 dollars
C. 6 dollars
D. 7 dollars
答案：B。

解析：“a box of chocolates for 5 dollars”，巧克力价格是5 美元。

4. How much does the notebook cost?
A. 2 dollars
B. 3 dollars
C. 4 dollars
D. 5 dollars
答案：B。

解析：“a notebook that costs 3 dollars”，笔记本价格是3 美元。

5. What is the total cost of all the items before using the coupon?
A. 9 dollars
B. 10 dollars
C. 11 dollars
D. 12 dollars
答案：C。

解析：把苹果、香蕉、巧克力和笔记本的价格相加，2+1+5+3=11 美元。

2
<背景文章>
There are 30 students in a class. One day, their teacher brings a big bag of candies. The teacher wants to divide these candies equally among the students. There are 120 candies in total. The students are very excited to see so many candies. They are all waiting to find out how many candies each of them will get.
First, the teacher counts the number of students. Then, she counts the number of candies. After that, she divides the total number of candies by the number of students.
Finally, the teacher announces that each student will get ___ candies.
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6. How many students are there in the class?
A. 20
B. 30
C. 40
D. 50
答案：B。

解析：文章中明确提到“There are 30 students in a class.”。

7. How many candies are there in total?
A. 100
B. 110
C. 120
D. 130
答案：C。

解析：文中提到“There are 120 candies in total.”。

8. What does the teacher want to do with the candies?
A. Eat them all by herself.
B. Sell them.
C. Divide them equally among the students.
D. Throw them away.
答案：C。

解析：“The teacher wants to divide these candies equally among the students.”表明老师想把糖果平均分给学生们。

9. After dividing the candies, how many candies will each student get?
A. 3
B. 4
C. 5
D. 6
答案：B。

解析：总共有120 颗糖，30 个学生，120÷30 = 4。

10. What are the students waiting for?
A. To go home.
B. To have a test.
C. To find out how many candies each of them will get.
D. To play games.
答案：C。

解析：“They are all waiting to find out how many candies each of them will get.”说明学生们在等着知道自己能分到多少糖果。

3
<背景文章>
The students in Class 5 are planning a class activity. They want to buy some snacks and drinks. They also need to decorate the classroom. The students discuss and make a list of things they need.
They decide to buy some apples, oranges, and bananas. Apples cost $2 per kilogram, oranges cost $3 per kilogram, and bananas cost $1.5 per kilogram. They plan to buy 5 kilograms of apples, 3 kilograms of oranges, and 4 kilograms of bananas.
For drinks, they want to buy juice. Juice costs $2.5 per bottle. They plan to buy 10 bottles of juice.
To decorate the classroom, they need some balloons and streamers. Balloons cost $0.5 each and streamers cost $1 per meter. They need 20 balloons and 15 meters of streamers.
The students calculate the total cost of all the items. First, they calculate the cost of the fruits. The cost of 5 kilograms of apples is 5 times
$2, which is $10. The cost of 3 kilograms of oranges is 3 times $3, which is $9. The cost of 4 kilograms of bananas is 4 times $1.5, which is $6. So, the total cost of the fruits is $10 + $9 + $6 = $25.
Next, they calculate the cost of the juice. The cost of 10 bottles of juice is 10 times $2.5, which is $25.
Finally, they calculate the cost of the decorations. The cost of 20 balloons is 20 times $0.5, which is $10. The cost of 15 meters of streamers is 15 times $1, which is $15. So, the total cost of the decorations is $10 + $15 = $25.
The total cost of all the items for the class activity is $25 + $25 + $25 = $75.
11. Apples cost ___ per kilogram.
A. $1
B. $2
C. $3
D. $4
答案：B。

解析：文章中明确提到Apples cost $2 per kilogram.
12. They plan to buy ___ kilograms of bananas.
A. 3
B. 4
C. 5
D. 6
答案：B。

解析：文中提到They plan to buy 4 kilograms of bananas.
13. Juice costs ___ per bottle.
A. $1.5
B. $2
C. $2.5
D. $3
答案：C。

解析：文章中有Juice costs $2.5 per bottle.
14. They need ___ meters of streamers.
A. 10
B. 15
C. 20
D. 25
答案：B。

解析：文中提到They need 15 meters of streamers.
15. The total cost of all the items for the class activity is ___.
A. $50
B. $60
C. $75
D. $80
答案：C。

解析：文章最后提到The total cost of all the items for the class activity is $75.
4
<背景文章>
One day, the students in Grade Five decided to measure the length and width of the school playground. They took out their measuring tapes and started their adventure. First, they measured the length. It was 50 meters. Then, they measured the width. It was 30 meters. After getting the measurements, they wanted to calculate the area of the playground. They remembered that the formula for finding the area of a rectangle is length times width. So, they multiplied 50 by 30 and found out that the area of the playground is 1500 square meters.
The students were very excited about their discovery. They realized that by using simple math tools and formulas, they can learn a lot about the world around them.
16. What did the students measure first?
A. The width of the playground.
B. The length of the playground.
C. The area of the playground.
D. The perimeter of the playground.
答案：B。

解析：文章中明确提到“First, they measured the length.”，所以学生们首先测量的是操场的长度。

17. What is the width of the playground?
A. 20 meters.
B. 30 meters.
C. 40 meters.
D. 50 meters.
答案：B。

解析：文中提到“Then, they measured the width. It was 30 meters.”，所以操场的宽度是30 米。

18. What formula did the students use to calculate the area?
A. Length plus width.
B. Length minus width.
C. Length times width.
D. Length divided by width.
答案：C。

解析：“They remembered that the formula for finding the area of a rectangle is length times width.”，学生们用来计算面积的公式是长乘以宽。

19. What is the area of the playground?
A. 1000 square meters.
B. 1200 square meters.
C. 1500 square meters.
D. 1800 square meters.
答案：C。

解析：文章中提到“So, they multiplied 50 by 30 and found out that the area of the playground is 1500 square meters.”，所以操场的面积是1500 平方米。

20. Why were the students excited?
A. Because they finished their homework.
B. Because they had a new teacher.
C. Because they learned a lot about the world around them.
D. Because they won a game.
答案：C。

解析：文章最后提到“They realized that by using simple math tools and formulas, they can learn a lot about the world around them.”，学生们很兴奋是因为他们意识到通过使用简单的数学工具和公式，可以了解很多周围的世界。

5
<背景文章>
The students in Grade Five are planning to make some handicrafts. They want to make beautiful paper flowers and colorful bookmarks. For the paper flowers, they need colored paper. Each flower requires three pieces of colored paper. They plan to make 20 paper flowers. So, they need a total of 20 times three = ___ pieces of colored paper for the paper flowers. For the bookmarks, they need ribbons. Each bookmark needs one and a half meters of ribbon. They want to make 30 bookmarks. So, they need a total of 30 times one and a half = ___ meters of ribbon for the bookmarks.
21. How many pieces of colored paper do the students need for the paper flowers?
A. 10
B. 20
C. 50
D. 60
答案：D。

解析：Each flower requires three pieces of colored paper and they plan to make 20 paper flowers. So 20 times three is 60.
22. How many meters of ribbon do the students need for the bookmarks?
A. 15
B. 30
C. 40
D. 45
答案：D。

解析：Each bookmark needs one and a half meters of ribbon and they want to make 30 bookmarks. So 30 times one and a half is 45.
23. If they also want to make 10 more paper flowers, how many additional pieces of colored paper do they need?
A. 10
B. 20
C. 30
D. 40
答案：C。

解析：Each additional flower needs three pieces of colored paper and they want to make 10 more flowers. So 10 times three is 30.
24. If they have 50 meters of ribbon and they use it all for bookmarks, how many bookmarks can they make?
A. 20
B. 30
C. 33
D. 40
答案：C。

解析：Each bookmark needs one and a half meters of ribbon.
50 divided by one and a half is approximately 33.
25. If they make half as many paper flowers as planned, how many pieces of colored paper will they need?
A. 10
B. 20
C. 30
D. 40
答案：C。

解析：Originally they planned to make 20 paper flowers. Half of 20 is 10. Each flower needs three pieces of colored paper. So 10 times three is 30.
6
<背景文章>
There are many students in the school library. They are borrowing books. The librarian tells them that they can keep the books for two weeks. Mary borrows a book on Monday. She wants to know when she needs to return the book. She starts counting the days. Monday is the first day. Tuesday is the second day. And so on. After two weeks, it will be Monday again. So Mary needs to return the book on Monday two weeks later.
Tom also borrows a book. He borrows it on Wednesday. He does the
same thing as Mary. He counts the days. Wednesday is the first day. Thursday is the second day. After two weeks, it will be Wednesday again. So Tom needs to return the book on Wednesday two weeks later.
All the students are happy to borrow books from the library. They know they have enough time to read the books and return them on time.
1. Mary borrows a book on Monday. She can keep the book for ___ weeks.
A. one
B. two
C. three
D. four
答案：B。

解析：文章中明确提到“The librarian tells them that they can keep the books for two weeks.”，所以玛丽借的书可以保留两周。

2. Tom borrows a book on Wednesday. He needs to return the book on ___ two weeks later.
A. Monday
B. Tuesday
C. Wednesday
D. Thursday
答案：C。

解析：文章中提到“Tom also borrows a book. He borrows it on Wednesday. So Tom needs to return the book on Wednesday two weeks later.”，所以汤姆两周后需要在周三还书。

3. If today is Friday and a student borrows a book, when should he return the book?
A. Friday two weeks later.
B. Saturday two weeks later.
C. Sunday two weeks later.
D. Monday two weeks later.
答案：A。

解析：无论哪天借书，都是在两周后的同一天还书，所以周五借书，两周后还是周五还书。

4. How many days can the students keep the books?
A. 7 days.
B. 14 days.
C. 21 days.
D. 28 days.
答案：B。

解析：文章一开始就说“They can keep the books for two weeks.”，一周有7 天，两周就是14 天。

5. The students are happy to borrow books from the library because ___.
A. they can keep the books for a long time.
B. they don't need to return the books.
C. they have enough time to read the books and return them on time.
D. the books are free.
答案：C。

解析：文章最后提到“All the students are happy to borrow
books from the library. They know they have enough time to read the books and return them on time.”，所以学生们开心是因为有足够的时间看书并按时还书。

7
<背景文章>
The school sports meet was a great event. All the students were excited and looking forward to it. In the running race, Tom ran very fast. He finished the 100-meter race in 15 seconds. Lily was also excellent. She completed the 200-meter race in 30 seconds. After the races, the teachers were busy calculating the scores. The class that had the most points would win the championship.
In the long jump competition, Mike jumped 4.5 meters. That was a great distance. And in the high jump, Sarah cleared a height of 1.2 meters. It was really amazing.
The students cheered for their classmates and everyone was having a great time. The sports meet was not only about winning, but also about having fun and showing sportsmanship.
31. Tom finished the 100-meter race in ____ seconds.
A. 10
B. 15
C. 20
D. 25
答案：B。

解析：文章中明确提到Tom 跑完100 米用了15 秒。

32. Lily completed the 200-meter race in ____ seconds.
A. 25
B. 30
C. 35
D. 40
答案：B。

解析：文中提到Lily 完成200 米比赛用了30 秒。

33. Mike jumped ____ meters in the long jump competition.
A. 4
B. 4.5
C. 5
D. 5.5
答案：B。

解析：文章说Mike 在跳远比赛中跳了4.5 米。

34. Sarah cleared a height of ____ meters in the high jump.
A. 1
B. 1.2
C. 1.5
D. 1.8
答案：B。

解析：文中提到Sarah 在跳高比赛中跳过了1.2 米的高度。

35. The sports meet was about ____.
A. only winning
B. having fun and showing sportsmanship
C. doing homework
D. playing games
答案：B。

解析：文章最后提到运动会不仅是关于获胜，还关于享受乐趣和展现体育精神。

8
<背景文章>
The students in Grade Five decided to organize a charity sale. They brought many things from home, such as books, toys, and stationery. The sale was held on Saturday in the school playground.
Many people came to the charity sale. The students sold the items at different prices. A book was sold for $2, a toy for $3, and a piece of stationery for $1.
At the end of the day, they counted the money they had earned. They found that they had sold 50 books, 30 toys, and 40 pieces of stationery.
To calculate the total income, they needed to add up the money from all the items sold. So, the total income from books was 50 * $2 = $100. The total income from toys was 30 * $3 = $90. And the total income from stationery was 40 * $1 = $40.
Adding all these amounts together, the total income was $100 + $90 + $40 = $230.
However, they also had some expenses. They had spent $30 on buying
materials for making signs and decorations.
To find the profit, they had to subtract the expenses from the total income. So, the profit was $230 - $30 = $200.
36. The students sold a toy for ____.
A. $1
B. $2
C. $3
D. $4
答案：C。

解析：文章中明确提到“A toy for $3”。

37. They sold ____ books.
A. 40
B. 50
C. 60
D. 70
答案：B。

解析：文中提到“They had sold 50 books”。

38. The total income from stationery was ____.
A. $30
B. $40
C. $50
D. $60
答案：B。

解析：“The total income from stationery was 40 * $1 = $40”。

39. They spent $____ on buying materials.
A. 20
B. 30
C. 40
D. 50
答案：B。

解析：“They had spent $30 on buying materials for making signs and decorations.”。

40. The profit was ____.
A. $180
B. $190
C. $200
D. $210
答案：C。

解析：“So, the profit was $230 - $30 = $200”。