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20 Olympic Mathematical Problems and Solutions (Grade Four)
1. A school has 100 students who participated in the math contest, with an average score of 63, including 60 for boys and 70 for girls. More boys than girls ().

There is a pile of black and white debris, in which the number of sunspots is twice that of Bai Zi. If four sunspots and three Bai Zi are taken out of this pile at the same time, after taking out () times, there are 1 albino and 18 sunspots.

The school spent 185 yuan to buy four basketballs and five volleyballs. A basketball is more expensive than a volleyball, and the unit price of basketball is () yuan.

Xiao Qiang likes collecting stamps. He bought 4 stamps and 8 stamps with 1 yuan, and 20 stamps with * * *, so he bought 4 stamps ().

5. Mother squirrel picks 20 pine nuts every day in sunny days and 12 in rainy days. It picks 1 12 continuously, with an average of 14 per day. There are () rainy days these days.

6. Some coins with 2 cents and 5 cents ***299 cents, of which the number of 2 cents is four times that of 5 cents, and there are () coins with 5 cents.

7. Some people get that 50 yuan in 240 yuan includes 2 yuan, 5 yuan and 10 yuan, among which 2 yuan and 5 yuan have the same amount, so there is () 10 yuan.

8. Buy some stamps with 4 points, 8 points and 1 point * * 15, with 100 points. You can buy at most 1 cent ().

9. Buy some stamps with 4 cents and 8 cents. It costs 80 cents for 6 yuan. It is known that there are 40 8-cent stamps more than 4-cent stamps, so there are () 8-cent stamps.

10,200 chickens and rabbits * * *, 56 chickens have fewer feet than rabbits, so there are () chickens and () rabbits?

1 1, there is a truck carrying 2000 glass bottles, and the freight is calculated according to the number of intact bottles when they arrive, and each bottle is 20 cents. If there is any damage, 1 bottle should be returned 1 yuan, and the freight is 379.6 yuan. I wonder if the glass was damaged this time.

12, a math exam ***20 questions, get 5 points for doing one question right, deduct 1 point for doing one wrong, get 0 points for not doing it, and get 76 points for Xiaohua. Ask him to do the right () question.

13. If Party A and Party B shoot and hit, Party A will get 4 points and Party B will get 5 points; If not, Party A will deduct 2 points and Party B will deduct 3 points. Each person will shoot 10, and * * * will hit 14. When the score is settled, Party A has more 10 points than Party B, and Party A is required to score () and Party B ().

14, chickens and rabbits in the same cage, * * * has 100 head and 3 16 foot, so there are only () chickens and () rabbits.

15, Xiaoming spent 4 yuan money to buy New Year cards and postcards, *** 14, with 35 points for New Year cards and 25 points for postcards. He bought () New Year cards and () postcards.

16, a math contest was held in the sixth grade of Donghu Primary School, with ***20 questions. If you answer a question correctly, you will get 5 points. If a question is not done or a question is wrong, 3 points will be deducted. If Liu Gang got 60 points in the exam, then he did a problem correctly ().

17. Chicken and rabbit * * * have 100 feet. If the chicken is replaced by a rabbit and the rabbit is replaced by a chicken, * * * has 92 feet, a chicken () and a rabbit ().

18, 100 steamed buns 100 monks, three for each big monk and one for each little monk, so there are () big monks and () little monks.

19, 30 coins, consisting of 2 points and 5 points, * * * value 99 points, 2 points for () coins and 5 points for () coins.

20. There are 27 boxes of pens and pencils, including 300 pens, 10 pens and 12 pencils, so there are () boxes of pens and () boxes of pencils.

2 1, chicken and rabbit are in a cage, * * * has 248, and rabbit is 52 less than chicken, so there are () chickens.

22. Workers delivered 250 celadon vases, and agreed to deliver them to their destination in one piece and pay the freight to 20 yuan. If one is damaged, it will cost 100 yuan. After transporting these vases, the worker got 4400 yuan, and only () was damaged.

22. There are 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces

Teacher Zhang, the head teacher, took 50 students from Grade Five to plant trees. Teacher Zhang planted 5 trees, 3 boys and 2 girls, a total of 120 trees. Ask () boys and () girls.

24. The big oil bottle is 4kg in one bottle, and the small oil bottle is 2 bottles 1kg. The existing 100kg oil contains 60 bottles of * * *. There are () big bottles and () small bottles.

25. The kitten took part in the math contest, did 20 questions and got 64 points. He got 5 points right, didn't get 0 points, and made a mistake 1 point, knowing that he did as many questions as he didn't. Ask the kitten to do the correct () question.

26. There are three kinds of animals, including spiders, dragonflies and cicadas. * * There are 1 18 legs and 20 pairs of wings (spiders have 8 legs; Dragonflies have six legs and two pairs of wings; Cicada has six legs, 1 wings). How many animals are there in each of these three animals?