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Examination questions of the fifth grade Olympic mathematics competition
( 1)3(x+ 10)= 45(2)6.6- 1. 1x = 3.3

(3)40(x-2)= 5(4)7x-3 = 2(x+6)

5)8(x-3)-4x+9 = 0(6) 12x+5-63x = 54-85x

1. A car, from place A to place B, will arrive in 0.5 hour if it travels at a speed of 45 kilometers per hour; If you drive 50 kilometers per hour, you can arrive 0.5 hour earlier. Ask about the distance between Party A and Party B and plan the driving time.

Xiaohong and Xiao Qiao bought the same problem set and used the summer vacation to do exercises. Xiaohong did 364 questions, Xiao Qiao did 228 questions, and the rest were exactly twice as many as Xiaohong. How many exercises are there in this book?

Father is 47 years old and son is 20 years old. How many years ago, my father was four times as old as my son?

A tree planting team will plant trees. If each person plants 5 trees, there are still 14 seedlings left. If everyone plants seven trees, there will be a shortage of four seedlings. How many people are there in this group? A * *, how many seedlings?

5. Each 0.3 yuan for Class A pencils, each 0.6 yuan for Class B pencils, and 20 pencils with 9 yuan money. How many pencils did you each buy?

6. The trapezoidal bottom is 2 cm more than the upper bottom, 5 cm higher and 40 cm in area. What is a sole?

7. It takes 2 hours for a ship to travel downstream from Pier A to Pier B, and 2.5 hours for a ship to return to Pier A from Pier B and travel upstream. Given the water speed of 3 km/h, what is the speed of the ship in still water?

8. Party A and Party B have a mountaineering competition. Party A climbs 10 meter per minute, Party B climbs 15 meter per minute, and Party B arrives 30 minutes ahead of Party A ... How high is this mountain? (two methods)

9. From A to B, the distance that Xiao Ming didn't walk is three times that he walked. If he drives150m, Xiao Ming has not traveled twice as far as he has traveled. Find the distance between a and b? (two methods)

10, a two-digit number, the number in the digit is three times that in the digit. If the number in the digit is reversed from the number in the digit, the resulting two-digit number is 54 larger than the original number. What are the original two digits?

1. There are three people, A is three years older than B, and B is two years younger than C. The sum of the three people's ages is 109. Find out the ages of A, B and C respectively.

2. The express train departs from Station A to bilibili at a speed of 60 km/h. After 1.5h, the local train departs from Station A in bilibili at a speed of 40 km/h. When the two cars meet, the intersection point is 70km away from the midpoint of the two stations. How many kilometers are the two stations apart?

Car a and car b leave school for the museum at the same speed. It is known that the distance between 8:32 A train and school is three times that of B train, and the distance between 8:39 A train and school is twice that of B train.

There is a working group, each worker can work in his own post and produce a batch of parts in 7 hours. If the positions of workers A and B are reversed, the batch of parts can be completed 1 hour in advance. If the positions of workers C and D are reversed, other things remain unchanged, it can also be advanced by 1 hour. Do you want to exchange A, B, C and C at the same time?

5. Make a cuboid with 10 cuboid building blocks 7 cm long, 5 cm wide and 3 cm high. What is the minimum surface area of this cuboid?

6. Only two kinds of tickets are sold in the public circle: individual tickets in 5 yuan and group tickets of 10 in 30 yuan. You can enjoy a discount of 10% if you buy group tickets above10. (1) How much does it cost for 45 people from Company A to buy tickets according to the above regulations? (2) How much does it cost for 208 people in Unit B to go to the park to buy tickets according to the above regulations?

7. A, B and C scored 260 points. It is known that 1/3 of grade A and 1/4 of grade B are equal to half of grade C minus 22 points. What's the score of C?

8. For a project, Party A and Party B cooperate for four days, and Party B completes it for five days alone. It is known that Party A finishes more than Party B every day 1/30. How many days does it take for Party A and Party B to do this project alone?

9. There are two candles, one long and one short (the same burning length at the same time), and the sum of the lengths is 56 cm. After they are lit at the same time for a period of time, the length of the long candle is as long as that of the short candle before lighting, and then the short candle is exactly 2/3 of that of the long candle. How long does it take to light a long candle?