People's Education Press, Grade Four, Book Two, Olympiad Mathematics Examination Questions and Answers (1)
1. A road is 100 m long, and every 10 m is planted from beginning to end 1 plane tree. How many trees have been planted? Road score 100? Paragraph 10 = 10, * * plant10+1=1plant.
12 willows are arranged in a row, and 3 peach trees are planted between every two willows. How many peach trees have been planted? 3? (12- 1)=33 trees.
How many times does it take to saw a 200 cm long piece of wood into 10 cm long pieces? 200? 10=20 segments, 20- 1= 19 times.
4. It takes 10 seconds for ants to climb branches. How many minutes does it take to climb from the first section to the 13 section? Do you need 10 from the first paragraph to 13? (13- 1)= 120 seconds, 120? 60=2 points.
5. Plant chrysanthemums around the garden and plant them every 1 meter 1 potted flower. * * * The flower bed is 20 meters long. How many pots of chrysanthemums do you need?
20? 1? 1=20 pots
6. There are 250 poles from the power plant to the urban area, and the distance between every two poles is 30 meters. How far is it from the power plant to the city?
30? (250- 1)=7470 meters.
7. Miss Wang keeps half of her monthly income in 20 yuan for living expenses and the rest in 50 yuan. At this time, there are still 40 yuan left to pay tuition and books for his children. How much does he earn this month?
[(40+50) ? 2+20] ? 2=400 yuan A: He earned 400 yuan this month.
8. After a person walked half the length along the big elevator, he walked the remaining half, leaving 1 km. Q: What is the total length of the big lift?
1? 2? 2=4 km
9. Party A is processing a batch of parts. On the first day, half of this pile of parts and 10 pieces were processed, and on the second day, the remaining half and 10 pieces were processed, leaving 25 pieces untreated. Q: How many parts are there in this batch? (25+ 10)? 2=70, (70+ 10)? 2= 160. Comprehensive formula: (25+ 10)? 2+ 10? 2= 160
10. A caterpillar grows from a larva to an adult, doubling every day. 16 days can grow to 16 cm. How many days can it grow to 4 cm?
16? 2? 2=4 (cm),16-1-1=14 (days)
1 1. A bucket of water, pour out half of it for the first time, then pour it back into the bucket for 30 kg, pour out the remaining half of the water in the bucket for the second time, and pour out 180 kg for the third time, with 80 kg left in the bucket. How many kilograms of water are there in the bucket? 180+80=260 (kg), 260? 2-30=490 (kg), 490? 2=980 (kg).
12. There are 200 books on the shelves A and B. There are three times fewer books on the shelf A than on the shelf B, and there are 16 books. How many books are there on shelves A and B?
Answer: B: (200+ 16)? (3+ 1)=54 (Ben); A: 54? 3- 16= 146 (Ben).
13. Xiaoyan spent 185 yuan bought a suit. How much are the coat and trousers?
Pants: (185-5)? (2+ 1)=60 (yuan);
Coat: 60? 2+5= 125 (yuan).
14. The sum of the ages of Party A, Party B and Party C is 94 years old. Party A is twice as old as Party C, five years old, and Party B is twice as old as Party C. 19 years old Q: How old are Party A, Party B and Party C respectively?
If everyone's age doubles, then the sum of the three ages is 94? 2= 188。 If A minus 5 years old and B minus 19 years old, then the sum of their ages is188-5-19 =164 (years old). At this time, the age of A is half that of C, that is, the age of C is twice that of A. Similarly, the age of C is twice that of B, so the ages of A and B are both 164? (1+ 1+2)=4 1 (years old), which means that C's original age was 4 1 years old. A What was the original age (4 1+5)? 2=23 years old. B (4 1+ 19) What was the original age? 2=30.
15. Xiaoming and Xiaohua finish fishing. Xiao Ming said:? If you give me 1 fish you catch, my fish is twice as big as yours. If I give you 1, we will get the same number. ? Please work out how many fish each of them caught.
Xiaoming is more than Xiaohua 1? 2=2 (bar). If Xiaohua gives Xiaoming 1 fish, then Xiaoming has 2+ 1 fish more than Xiaohua? 2=4 (strips), then the small flower has fish 4? (2- 1)=4 (articles). It turns out that Xiaohua has fish 4+ 1=5 (strips) and Xiaoming has fish 5+2=7 (strips).
16. Xiao Fang went to the stationery store to buy 13 Chinese books and 8 arithmetic books, and spent 10 yuan. As we all know, the price of six Chinese books is equivalent to the price of four arithmetic books. Q: How much are 1 Chinese books and 1 arithmetic books? 8? 4? 6= 12, that is, the price of eight arithmetic books is equal to 12. So the original value of 1 is 10? 100? (13+ 12)=40 (minutes), 1 This arithmetic value is 40? 6? 4=60 (minutes), that is, 1 has 4 corners in this Chinese book and 1 has 6 corners in this arithmetic book.
17. Find the pattern and fill in the appropriate numbers in the brackets. 75, 3, 74, 3, 73, 3, (), (). Answer: 72,3.
18 Find the pattern and fill in the appropriate numbers in brackets. 1, 4, 5, 4, 9, 4, (), ().
Odd terms form the sequence 1, 5, 9, and each term is 4 more than the previous one; Even items are all 4, so13,4 should be filled in.
19. Find the pattern and fill in the appropriate numbers in the brackets. 3, 2, 6, 2, 12, 2, (), ().24,2。
20. Find the pattern and fill in the appropriate numbers in brackets. 76, 2, 75, 3, 74, 4, (), (). A: To split the original series into two columns, you should fill in: 73, 5.
People's Education Press, Grade Four, Book Two, Olympiad Mathematics Test Questions and Answers (2)
2 1. Find the pattern and fill in the appropriate numbers in the brackets. 2, 3, 4, 5, 8, 7, (), (). Answer: Split the original series into two columns, which should be: 16, 9.
22. Find the pattern and fill in the appropriate numbers in brackets. 3, 6, 8, 16, 18, (), ().
Answer: 6=3? 2, 16=8? 2, that is, the even term is twice as large as the odd term before it; And 8=6+2, 18= 16+2, that is, from the third item, the odd item is 2 more than the even item before it, so it should be filled in: 36, 38.
23. Find the pattern and fill in the appropriate numbers in brackets. 1,6,7,12,13,18,19, (), (). A: To split the original series into two columns, you should fill in: 24,25.
24. Find the rules and fill in the appropriate numbers in brackets. 1, 4, 3, 8, 5, 12, 7, ().
Answer: Odd terms form the sequence 1, 3, 5, 7,? , each item is 2 more than the previous item; Even terms form the sequence 4,8, 12,? Each item is 4 more than the previous item, so please fill in: 16.
25. Find the pattern and fill in the appropriate numbers in brackets: 0, 1, 3, 8, 2 1, 55, (), (). Answer: 144377.
26. A, B, C and D won the top four in a competition. It is known that D is not the highest ranking, but it is higher than both B and C, and C is not higher than B. Q: Where are they?
Answer: D is not the highest ranking, but it is higher than B and C, so it is the second, and A is 1. C is not ranked higher than B, so B is the third and C is the fourth.
27. The weight of an elephant equals the weight of four cows, the weight of one cow equals the weight of three ponies, and the weight of one pony equals the weight of three piglets. Q: How many piglets does an elephant weigh? Answer: 4? 3? 3=36, so the weight of an elephant is equal to the weight of 36 piglets.
28. There are three people, A, B and C. One likes watching football, the other likes watching boxing and the other likes watching basketball. It is known that A doesn't like watching basketball, and C doesn't like watching basketball and football. One ticket for football, boxing and basketball. Please give them tickets according to their hobbies.
Answer: C doesn't like watching basketball and football. He should be given a boxing ticket. A doesn't like watching basketball. You should get a football ticket. Finally, the basketball ticket should be given to B.
29. There is a pile of iron and copper, each with exactly the same weight and each with exactly the same weight. Three iron bars and five copper bars weigh 2 10g. Four iron blocks and 10 copper blocks weigh 380 grams. Q: How much does each piece of iron and copper weigh?
Answer: Four iron blocks and 10 copper blocks * * * weigh 380g, so two iron blocks and five copper blocks * * * weigh 380g? 2= 190 (gram). While three iron blocks and five copper blocks * * * weigh 2 10g, so 1 iron blocks weigh 2 10- 190=20 (g). 1 copper weight (190-20? 2)? 5=30 (grams).
30. One of the three people A, B and C did a good deed. They each said a word, only one is true. A said:? B did it. ? B said:? I didn't do it. ? C said: I didn't do it either. ? Q: Who did something good?
Answer: If A does a good deed, then what B and C say is true, which contradicts that only one sentence is true. If B does something good, then what A and C say is true and contradictory. The good thing is done by C. At this time, both A and C are wrong, and only B is true, so the good thing is done by C.
3 1. Cut a rectangular cardboard with a length of 8 cm and a width of 3 cm on each of the four corners. What is the circumference of the rest?
A: (8+3)? 2=22 (decimeter)
32. Calculation:18+19+20+21+22+23.
Original formula =( 18+23)? 6? 2= 123
33. Calculation:100+102+106+108+/kloc-0+12+65438.
Original formula =( 100+ 1 14)? 8? 2=856
34.995+996+997+998+999
Original formula =(995+999)? 5? 2=4985