Lead: It is difficult to apply the mathematical olympiad in primary schools, so it is necessary to strengthen training to improve the ability. The following are the application questions of primary school Olympic math scores, which I sorted out for you. Welcome to read and learn from them!
Primary school Olympic math scores (1) application questions (1), weight reduction of gold in water119, weight reduction of silver in water110. A gold and silver alloy weighs 770g, but it loses 50g when put in water. This alloy contains gold and gold.
2. Among the Young Pioneers who attended the June 1st party, women accounted for 4/7 of all the Young Pioneers, and men accounted for more than 40, more than 2/3 of the women. How many women are there?
A factory has two workshops. The monthly output value of workshop A is 50,000 yuan more than that of workshop B, and 2/ 15 of the output value of workshop A is equal to 2/3 of that of workshop B. What is the output value of each workshop?
The store bought a batch of sandals from 6.5 yuan at the price of 8.7 yuan. When the remaining 1/4 was sold, it not only recovered the money paid for these sandals, but also made a profit in 20 yuan. How many pairs of sandals are there?
5. Xinchang Tea Shop delivered a batch of first-class tea and second-class tea, of which the quantity of second-class tea was 1/2 of that of first-class tea, and the purchase price of first-class tea was 24.8 yuan per kilogram, and the purchase price of second-class tea was 16 yuan per kilogram. Now it is sold at a price increase of 12.5%. When all the second-class teas are sold out, there is only 1/3 left in the first-class teas, and * * * will make a profit in 460 yuan. Then, how many Jin of first-class tea should I send?
6. Fill a bottle of water, pour out 1/2 of all water, then pour in the same amount of alcohol, pour out 1/3 of all solutions, fill up with alcohol, then pour out 1/4 of all solutions, and then fill up with alcohol. What is the percentage of alcohol in all solutions at this time?
7. In a pile of candy mixed with toffee and chocolate, if chocolate accounts for 60% of the total after adding 10 toffee and 75% after adding 30 chocolates, how many toffees are there in the original mixed candy? How much chocolate?
8. There is a score. If the denominator is added with 6, the numerator remains unchanged, and the reduced score is1/6; If the numerator is added with 4, the original denominator remains unchanged, and the reduced score is 1/4. What was the original score?
9. In the fourth grade music group, students from Class 4 (1) accounted for 3/5, and later 14 students from other classes also joined the music group. At this time, the students in Class Four (1) only account for 1/4, so how many people are there in Class Four (1)?
10. There are two goldfish bowls. If 15 tail is taken out from the first tank and put into the second tank, the goldfish in the first tank is just 5/7 of that in the second tank. If 17 fish are taken out of the second tank and put into the first tank, the goldfish in the second tank is just 5/7 of that in the first tank. How many goldfish are there in the first fish tank?
1 1. Garden workers plant peony, peony, string red and rose in the street park. The number of peony plants accounts for1/4 of the total number of other three flowers; The number of plants with red flowers accounts for 4/ 1 1 of the total number of other three flowers. It is understood that 60 roses have been planted. How many peonies and peonies do gardeners grow?
12, Xiaohui flew to participate in the World Junior Olympic Mathematical Gold Cup. Outside the plane porthole, there is a picturesque blue sea. She saw that the sea of clouds accounted for 1/2 of the whole picture, covering 1/4 of an island, and bare islands accounted for 1/4 of the whole picture. The sea surface required to cover accounts for a fraction of the whole sea.
13, Xiaojun walked more than Xiaohong14, but Xiaohong walked more than Xiaojun110. What is the speed ratio between Xiaojun and Xiaohong?
14. Grade five is more than grade four 15%, grade four is more than grade three, and grade five is more than grade three by 9 1. How many students are there in the third grade?
15. A fruit with water content of 99% is delivered from the warehouse, 1000 kg. After a week, it was found that the water content was reduced to 98%. What is the total weight of this batch of fruit now?
Application problem of primary school olympiad score (2) 1. The school held a math lecture, and the whole classroom was full of audience, including two sixth-grade students, four fifth-grade students, seven fourth-grade students and six teachers. How many people are there in the whole classroom?
2. In the fourth and fifth grades, 56 people participated in the model airplane group. Boys account for 2/3 of the fourth-grade students and 75% of the fifth-grade students. There are as many girls in the fourth and fifth grades. How many people join the model airplane group in Grade 4 and Grade 5?
There are 36 students reading books in the school reading room, 4/9 of whom are girls. Later, several girls came to read books. At this time, the number of girls accounts for 9/ 19 of all readers. How many girls came to read later?
4. The absenteeism of a class is 1/6 attendance. After that, another student walked out of the classroom, and the number of absentees was equal to 1/5 of the attendance. How many people are there in this class?
5. There are 152 fifth-grade students in a school, and11boys and 5 girls are selected to participate in the science and technology group, and the rest of the boys and girls are just equal. How many boys and girls are there in this grade?
6. For a barrel of oil, 20% of the whole barrel is taken out for the first time, 20 kg is taken out for the second time, and the third time is equal to the sum of the first two times. There are 8 Jin left in the bucket. How many kilograms of oil are there in the original barrel?
7. there are three kinds of alcohol solutions with different pure alcohol content: a, b and C. Their pure alcohol content is 40%, 36% and 35% respectively. It is necessary to prepare 12 liter alcohol solution with 39% pure alcohol content. How many liters should alcohol solution A take at least?
8. Four people, Party A, Party B, Party C and Party D, bought a yacht worth 4,200 yuan. The cash paid by Party A is ` 1/4 of the total cash paid by the other three people, while the cash paid by Party B is 50% less than the total cash paid by the other three people, and the cash paid by Party C accounts for 1/3 of the total cash paid by the other three people. Then Ding Fang.
9. Two baskets of apples weigh * * * 5 1kg, the first basket weighs 1/3, the second basket weighs 18.2kg, and how many kilograms do the two baskets of apples weigh?
10, 6/2 1 and 5/7 of the students who participated in the city's mathematics competition are exactly the same. How many times more boys than girls?
1 1. A store has two kinds of goods, one is to increase the cost by 25%, the other is to reduce the cost by 20%, and the prices are exactly the same. What is the total price of these two commodities?
12, the school planted trees. On the first day, it completed 3/8 of the plan, on the second day, it completed 2/3 of the remaining plan, and on the third day, it planted 55 trees. The result exceeds the planned 1/4. How many trees were planned to be planted?
13, a basket of apples is given to A, B and C. A gets 1/5 plus 5 apples, B gets 1/4 plus 7 apples, C gets half of the remaining apples, and the last one is 1/8 of a basket of apples. How many apples are there in this basket?
14, Yucai Primary School held a third-grade math competition. There are 28 more girls than boys taking part in the competition. According to the results, all the boys were listed as excellent, while 1/4 girls failed to achieve excellent results. There are 42 boys and girls who have achieved excellent results, accounting for 20% of the whole grade. How many students are there in the third grade?
15. In a class, there are two-quarters more girls than boys. If there are three fewer male students and four more female students, then the number of male and female students is exactly equal. How many boys and girls are there in this class?
16 and class 6 (1) have more students than class 6 (2) 10%, and class 6 (2) has fewer students than class 6 (3) 10%. Please judge: Class 6 (1) and Class 6 (3).
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