Are there any good math Olympiad problems for 6th graders?

It is suggested that some of the sixth-grade Innovation Cup, Spring Festival Cup, and National Olympiad past test questions are more classic and very beneficial to thinking training.

There are a lot of teachers, they are all made up, and you can also make them up yourself.

The Olympiad is very helpful for children, it can develop their brains, so in the sixth grade of primary school, can you start learning Olympiad mathematics?

When you are in the sixth grade of elementary school, of course, you can start learning the Olympiad, and you can start before the sixth grade of primary school. This is a very good stage for children as they are just beginning to learn in touch. There is still a certain interest in learning, so let them get in touch with the Olympiad as soon as possible, and also let them form a sense of learning as soon as possible.

The content of the Olympiad is actually not the same as the things in the primary school textbooks, and its content is equivalent to jumping out of the books, so it also has a certain effect on its own learning of mathematics, although it is not in the content of the textbooks, but she also has mathematical thinking. For children, the most important thing in learning mathematics is to have mathematical thinking, and the most important thing in mathematics is the ability to draw inferences, and the Olympiad is to exercise children's ability in this regard.

Because of the Olympiad, it can improve children's thinking ability, so in the sixth grade to learn the Olympiad, for his future learning in junior high school is also very helpful, because junior high school mathematics is more difficult than primary school mathematics, so if you want to know a good connection between primary school and junior high school mathematics knowledge, then you must be in the summer vacation to preview the content of this part. Of course, you can also improve your mathematical thinking ability by studying Olympiad mathematics, so that when you go to junior high school to learn mathematics, it will be easier. Because the Olympiad is originally out of the book, even when he goes to study in the sixth grade, it can also bring great help to junior high school mathematics.

Learning Olympiad Math is very necessary for Year 6 students. At this age, students' mathematical ability and thinking ability are constantly developing, and learning Olympiad mathematics can further improve their mathematical ability and thinking ability, laying a solid foundation for later study and life.

First of all, learning the Olympiad can help sixth graders gain an in-depth understanding of mathematics. By studying the Olympiad, students can be exposed to more in-depth mathematical knowledge, such as number theory, probability theory, graph theory, and so on. This knowledge may not be covered in general mathematics courses, but it is of great help to improve students' mathematical literacy.

In addition, the learning method of Olympiad mathematics is also different from ordinary mathematics, which pays more attention to the training of thinking, requires students to think actively and learn actively, and cultivates students' self-learning ability and problem-solving thinking ability.

Secondly, learning the Olympiad can improve the test-taking ability of sixth graders. Although Olympiad mathematics is not an exam-taking subject, the knowledge points and problem-solving ideas required to learn Olympiad mathematics are often very related to mathematics competitions. For students participating in math competitions, learning Olympiad math can improve their test-taking ability and allow them to achieve better results in competitions.

In addition, studying the Olympiad can also help students better prepare for academic exams and improve their math scores.

Finally, learning the Olympiad can lay a solid foundation for the future life of the sixth graders. Mathematics is a very important subject, which plays a great role in daily life and the workplace. Learning Mathematics Olympiad can help students improve their math skills and prepare them for future challenges.

At the same time, the learning method of Olympiad can also help students develop good thinking habits and train their logical thinking and analytical ability, which is very important for their future study and work.

To sum up, it is very necessary for sixth graders to learn Olympiad mathematics. Through the study of Olympiad Mathematics, students can gain an in-depth understanding of mathematics, improve their test-taking ability, lay a solid foundation for their future life, and also develop their self-learning and problem-solving thinking skills. <>

Solution: Let A be A, B be B, and C be filial piety C. (It's just a thought process) a-4=bb-4=c

a-c=8b=a-4

c=a-8 set up x for each individual who digs up.

ax-(a-4)(x+1)=3

a-4)(x+1)-(a-8)(x+1+5)=5ax-[a(x+1)-4(x+1)]=3

a-4)(4/1-4/a+1)-(a-8)(4/1-4/a+1+5)=5

ax-ax-a+4x+4=3

4x+4-a=3

x+1-4/a=4/3

4/1-4/a=x

1. There is a batch of goods in the warehouse, and the mass ratio of the goods transported to the remaining goods is 2:7If another 64 tons are removed, then the remaining cargo is only three-fifths of the original cargo in the warehouse. How many tons of original cargo are in the warehouse?

Solution: The first transport away: 2 (2+7)=2 964 (1-2 9-3 5) = 360 tons.

A: There are 360 tons of goods in the original warehouse.

2. The ratio of the number of students who meet the standard and the number of people who do not meet the standard is 3:5, and then 60 students meet the standard, and the number of students who meet the standard is 9 11 of the number of people who do not meet the standard, how many students are there in Yucai Primary School?

9 11 (1 9 11) 9 20 60 (9 20 3 8) 800 people.

3. A and B jointly completed 242 machine parts. It takes 6 minutes for A to make a part, and 5 minutes for B to make a part. How many parts did each of the two make when they finished this batch of parts?

Let A do x, then B makes (242-x) 6x=5(242-x) x=110

242-110=132 (pcs).

A: A made 110 and B made 132.

4. After the completion of the repair, the irrigated area ratio of the three villages of A, B and C is 8:7:5 The original three villages planned to send labor according to the ratio of the irrigable area, and later because the C village could not draw labor, after consultation, the labor that should be pumped out of the C village was shared by the two villages A and B, and the C village paid 1,350 yuan to the two villages A and B, as a result, a total of 60 people were sent to village A, and a total of 40 people were sent to village B.

8 + 7 + 5 = 20 (60 + 40) 20 = 5 people 8 5 = 40 people 60-40 = 20 people 7 5 = 35 people 40-35 = 5 people 5 5 = 25 people 20 + 5 = 25 people 1350 25 = 54 yuan 54 20 = 1080 yuan 54 5 = 270 yuan.

5. Harry. Porter competed in math, and he scored a total of 68 points. The criteria for scoring are:

20 points are awarded for each correct one, and 6 points are deducted for each wrong one. It is known that he did twice as many questions correctly as he did the wrong questions, and he did all the questions, how many questions are there in this set of papers?

Solution: Suppose Harry Potter answers 2x questions correctly and answers x questions incorrectly.

20×2x-6x=68

40x-6x=68

34x=68

x=2 Correct answers: 2 2=4 Total: 4+2=6 questions.

There are 3 questions in total....bai…

1. There are 2002 people lined up in a line, numbered dao1 2002 from left to right, and 1 3 from left to right.

version, report the number 3 to stay, others leave the team, and then report the number from left to right 1 3, report 3 to stay, others leave the team ......After several "eliminations", the last remaining number in the team is ().

2. There are 3 needles with A, B and C on the table, and there are 32 gold pieces of different sizes on the A needle, the big ones are at the bottom and the small ones are at the top, and all the gold pieces on the A needle are moved to the B needle, and only one piece can be moved at a time, you can use the C needle, you can't put it down, you can only put it down on the 3 needles, how many times do you need to move it all to the B needle?

3. (Note: A number in a parenthesis is a vertical type.) ）1（ ）

2 0 0 8 1 9 These nine numbers are in parentheses and are not allowed to be reused.

How idle are you、、、 and who would be idle and bored to do the Olympiad、、、

Topic: 1 The length of the road along the lake is 1920 meters, and Quan A and B are racing on the road along the lake. The two set off at the same time and in the same place, walking in opposite directions, A fast, and met 12 minutes later. If the two men walk an extra 16 meters per minute, the meeting point is 20 meters different from the previous one.

1) Find the original walking speed of A and B.

2) If A and B each set off at the same speed and walked in the same direction at the same time, where did A catch up with B for the second time?

2 There are 8 steps, Xiao Ming walks from the bottom to the top, if he can only cross 1 or 2 steps at a time, how many different ways can he go up?

3 There are 6 pots of green plants, and they are required to be arranged in 4 rows, each row has 3 pots, what do you think is the best place? Please draw an intention.

Solution: 1 20+1 16 du9 80 means that the work efficiency of zhijia and b is 9 80

dao5 45 80 indicates that the amount of water is within 5 hours.

1-45 80 35 80 means the amount of water that needs to be filled35 80 (9 80-1 10) 35 means that it will take 35 hours to fill the tankAnswer: After 5 hours, it will take 35 hours to fill the pool.

1.On a rectangular piece of iron with a length of 13 cm and a width of 4 cm, how many small discs with a diameter of 2 cm are cut? (easy to make mistakes).

2.If the radius of a circle is 60 square centimeters, how many square centimeters is the area of this circle?

3.The radius of the great circle is equal to the diameter of the minor circle, and the ratio of the circumference of the great circle to the minor circle is ( ) and the ratio of the area is ( ).

4.A book has 100 pages, Xiao Ming read two-fifths of the whole book on the first day, and a quarter of the whole book on the second day, how many pages should he start reading on the third day? (easy to make mistakes).

I'll give you our b-roll.

The ratio of the number of colored balls of A, B and C is 9:4:2, A gives C 30 colored balls, B also gives C some colored balls, the ratio is 2:1:1, how many colored balls does B give C?

A and B warehouses have a total of 950 tons of grain, if 25% of the grain is taken out from warehouse A and put into warehouse B, then 3 5 of the grain stored in warehouse B is exactly 2 3 of the grain stored in warehouse A, how many tons of grain was stored in warehouse A and B?

The number of fifth-grade students in a certain school is 1 4 of the total number of fourth-year-old, fifth, and sixth-grade students, and the number of sixth-grade students is 3 4 of the fourth-grade students, and the number of fifth-grade students is 40 fewer than that of fourth-grade students. Ask for this school.

How many students are in grades 4, 5, and 6?

There are two barrels of oil A and B, after pouring 1 4 from barrel A to barrel B, barrel B is 6 kg less than barrel A, barrel B originally had 30 kg of oil, ask: How many kilograms of oil was there in barrel A?

The number of Tibetan antelopes increased from about 70,000 in 1999 to about 100,000 in 2003, an increase of what percent?

On a rectangular piece of iron with a length of 30 cm and a width of 20 cm, how many small discs with a radius of centimeters are cut? (Easy to make mistakes).

If the radius of the circle is enlarged by 4 times, the circumference will be expanded by ( ) times, and the area will be expanded by ( ) times.

8,16,16 on a rectangular paper, cut out a few circles, using the rectangular area minus the circular area. （

In the figure, three geometries with the same shape standing upright on the horizontal plane (the lower bottom surface is a circle surface, unit: cm) and put them together into a new geometry as shown in Figure 10-2, then the volume of the new geometry is cm3 (the calculation result is retained).