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Are there any difficult Olympic math questions with answers?
1. Analysis: From "Xiao Li gave Xiao Rong 100 stamps of her own, and the number of stamps of both is exactly the same", we can see that Xiao Li has more stamps than Xiao Rong (100×2), which can be solved according to the meaning of the question.

Solution: The number of small stamps is 100×2÷(5- 1)=50 (sheets).

The number of Xiaoli's stamps is 50×5=250 (sheets).

Xiao Li has 250 stamps and Xiao Rong has 50 stamps.

2. Analysis: According to the meaning of the problem, there are more cement bags in warehouse A than warehouse B (450-50). Knowing that the cement bags in warehouse A are three times that in warehouse B, it can be solved.

Quantity of cement bags in warehouse B: (450-50)÷(3- 1)=200 (bags)

Quantity of cement bags in warehouse A: 200×3=600 (bags)

A: There are 600 bags of cement in Warehouse A and 200 bags in Warehouse B respectively.

3. Illustration:

Analysis: As can be seen from the figure, the number of the remaining first baskets is more than that of the second baskets, which is exactly (3- 1) times that of the remaining second baskets.

Solution: (194-150) ÷ (3-1)+194 = 44 ÷ 2+194 = 216 (.

Answer: There are 2 16 peaches in each basket.

4. Illustration:

Analysis: Party A's deposit is three times that of Party B, and Party B's deposit is a multiple of 1 The difference between Party A and Party B is (240-40) yuan, which is also the original difference, just (3- 1) times of the original deposit.

Solution: Party B's original deposit: (240-40) ÷ (3-1) =100 (yuan).

Original deposit of Party A: 100×3=300 (RMB)

Answer: A's original deposit is 300 yuan, and B's deposit is 100 yuan.

5. Analysis: According to the first condition, there is a difference of (24×2) yuan between Xiao Yong and Xiaoying. According to the second condition, Xiaoying gave Xiao Yong 27 yuan on the basis that Xiaoyong was (24×2) yuan more than Xiaoying, but Xiao Yong was actually (27×2+24×2) yuan more than Xiaoying, which was exactly equal to Xiaoying's later.

Solution: Xiaoying's money: (24× 2+27× 2) ÷ (2-1)+27 =129 (yuan).

Xiao Yong's money: 129+24×2= 177 (yuan)

A: Xiao Yongyou 177 yuan, Xiaoying has 129 yuan.

6. Illustration:

Solution: A number: (480+152) ÷ (3-1) = 632 ÷ 2 = 316.

No.b: 3 16+ 152=468.

A: A number is 3 16, and B number is 468.

7.

As can be seen from the above figure, when the first pencil uses 14 cm and the second pencil uses 2 cm, the difference between the two pencils is 14-2= 12 cm, and the length of the second pencil is three times that of the first pencil, that is, the difference of 12 cm is equivalent to the remaining two times of the first pencil.

14-2= 12 (cm)

12(3- 1)= 6 (cm)

6+ 14=20 (cm)

Answer: The two pencils were originally 20 cm long.

8.

As can be seen from the above figure, after the first block used 3 1 m and the second block used 19 m, the second block was 3 1- 19= 12 (m) more than the first block. At this time, the surplus of the second block is four times that of the first block, that is, the extra 12 meter is equivalent to.

3 1- 19= 12 (m)

12(4- 1)= 4 (m)

4+3 1=35 (m)

Answer: These two pieces of cloth used to be 35 meters each.

9. As shown in the figure:

Take my brother's number as 1 time, then

Brother's ISBN =60÷(3- 1)=30 (Ben)

Brother's ISBN =30×3=90 (Ben)

Answer: There are 30 books for my brother and 90 books for my brother.

10. The difference between father and daughter is 36 years old, and this difference remains unchanged. When the father's age is exactly five times that of his daughter, the father is still 36 years older than his daughter. This 36-year-old is (5- 1) times that of her daughter.

36(5- 1)= 9 (age)

When my daughter was 9 years old, 14-9=5, which was exactly five years ago, so five years ago, my father was five times as old as my daughter.

Second, answer the question.

1 1.

As can be seen from the above figure, if warehouse B doesn't produce grain, warehouse A produces 8500-500=8000 (kg), which is exactly twice that of warehouse B. We can find out the kilograms of flour stored in warehouse B through this correspondence, and then find out the kilograms of flour stored in warehouse A. 。

8500-500=8000 (kg)

8000÷2=4000 (kg)

4000×3= 12000 (kg)

Answer: The raw powder of warehouse A 12000 kg, and the raw powder of warehouse B is 4000 kg.

12.

As can be seen from the above figure, my elder sister spent 180-30= 150 (yuan) more than my elder sister, which is exactly 1 times the amount of money my elder sister brought, that is, my elder sister brought 150 yuan, so it is easy to find out the amount of money my elder sister brought.

180-30= 150 (yuan)

150×2=300 (yuan)

Answer: My sister brought 300 yuan, and my sister brought 150 yuan.

13. The difference between the most significant digits of two integers is 6, that is, the difference between the two numbers is 1000×6=6000. This hidden situation is easy to find.

1000×6=6000

6000÷(3- 1)=3000

3000×3=9000

A: The decimal number is 3000 and the large number is 9000.

14. Because the load of a car is three times that of a big car, that is, three big cars carry one car. So we can use 18÷3=6 cars instead of 18 cars. It can be understood that nine cars carry 65438 more than six cars.

18÷3=6 (vehicle)

9-6=3 (vehicle)

18÷3=6 (ton)

6÷3=2 (ton)

A: Cars carry 6 tons each, and trolleys carry 2 tons each.