1, production groups A and B have 82 lathes. If Group A gives Group B four lathes, the number of lathes in the two groups is equal. How many lathes are there in each group?
2. There are 280 workers in the first, second and third workshops of a factory. The first workshop is more than the second workshop 10, and the second workshop is more than the third workshop 15. How many people are in each of the three workshops?
A rectangular board is twice as long as it is wide, and its circumference is 54 cm. What is the length and width of this rectangular board?
4. Young Pioneers planted willows and poplars *** 134, and the number of poplars was three times that of willows, 14. How many trees have been planted?
The distance between Party A and Party B is 42km. Xiao Li and Xiao Hong set out on foot from Party A and Party B respectively. Xiaoli travels 4 kilometers per hour and Xiaohong travels 5 kilometers per hour. After Xiaoli set off from place A for 6 kilometers, Xiaohong set off from place B.. A few hours after Xiaohong set out, they met.
6. Two cars, A and B, set off from A and B at the same time, moving in opposite directions, and met four hours later. After the encounter, the A car continued to drive for 3 hours to reach the B place, and the B car drove at a speed of 24 kilometers per hour. Q: How many kilometers is it between A and B?
7. Both cars of Party A and Party B leave in opposite directions at the same time. Car A travels 56 kilometers per hour and car B travels 48 kilometers per hour. The two cars met at a distance of 32 kilometers from the midpoint. What's the distance between a and b?
8. The distance between Station A and bilibili is 54 kilometers. A local train departs from bilibili at a speed of 52 kilometers per hour, and an express train departs from Station A at a speed of 70 kilometers per hour to catch up with the local train. Can you catch the local train in a few hours?
9. A cargo ship set sail from a port at 10 in the morning, and another passenger ship set sail from this port at 2 pm. After the passenger ship sailed, it overtook the cargo ship at 12. Passenger ships travel 20 kilometers per hour, and cargo ships travel how many kilometers per hour?
10. A train is 200 meters long. It passes through a 200-meter-long tunnel at a speed of 10 meter per second. How long does it take to leave the tunnel from the front to the rear?
1 1. Two teams dig ditches, one for team A and one for team B for 8 days 12 days. Now, after two teams dug at the same time for a few days, team B was transferred, and the rest was completed by team A in three days. Bravo team dug for a few days.
12. The canal has a water inlet pipe and a water outlet pipe. Open the water inlet pipe, fill the whole pool for 30 minutes, and drain a pool of water in 50 minutes. Now, if you open two pipes at the same time, how many minutes can you fill the empty pool?
13, Wang Fei rode a motorcycle for 240 kilometers at a speed of 40 kilometers per hour. When he came back by the same way, he was driving at a speed of 60 kilometers per hour. What is the average round-trip speed in Wang Fei?
14, the average score of Chinese, mathematics and society in the final exam in Liu Yang is 96, the average score of Chinese and society is 94, and the average score of Chinese and mathematics is 97.5. What's Liu Yang's score in three subjects?
15. This farm tool factory originally planned to produce 400 farm tools every month. After technical innovation, the output in nine months exceeded 780% of the planned output in the whole year. How much is the actual monthly output more than originally planned?
16, the school bought a batch of books and put them in two bookcases, of which the number of books in the first bookcase accounted for 58% of this batch of books. If 16 books are taken out of the first bookcase and put into the second bookcase, then the books in the two bookcases each account for 50% of this batch of books. How many books are there in this batch?
17, 3.5 liters of oil and 5.5 liters of milk * * * weigh 8.99 kg, and 7 liters of oil and 22 liters of milk * * * weigh 29.3 1 kg. How many kilograms does a liter of oil and a liter of milk weigh?
18, there are 140 students in grade 6 of Huaguang Primary School. They are divided into three groups to carry out tree planting activities. It is known that the ratio of the number of students in the first group and the second group is 2? 3. What is the ratio of the number of people in the second and third groups? 5. How many people are there in each of these three groups?
19, the floor of the house needs 2400 rectangular bricks with a length of 24 cm and a width of 1 1 cm. If the ground is paved with square bricks with a side length of 40 cm, how many bricks will be used?
20. A piece of wood is 4 meters long, and it takes 2 hours and 20 minutes to saw a section of 0.5 meters. How long will it take if it is sawed into a section of 0.4 meters?
Primary Mathematics Volume 12 Final Exam
fill (up) a vacancy
1.4m2 5 dm2=( )m2 .
2.2 hours and 45 minutes = () hours. (Fill in the score)
5. The circumference of a circle is about () times the diameter of the same circle.
7. After a number is increased by 20%, it is 360, and this number is ().
8. It took Team A 10 days and Team B 12 days to complete a project, and the working efficiency of Team A was ()% of that of Team B. ..
9. Cut a circle into an approximate rectangle. It is known that the length of a rectangle is 6.28cm and the area of a circle is () cm2.
Second, true and false (correct painting "√", wrong painting "×". )
1. If the perimeters of two circles are equal, then the areas of the two circles are equal.
( )
2. The germination rate of a newly cultivated seed is 120%. ( )
( )
The diameter is twice the radius. ( )
Third, multiple-choice questions (fill in the letters of the correct answer (). )
[ ]
2. What is the percentage of 7m greater than 4m? The correct formula is [].
A.(7-4)÷7
B.(7-4)÷4
c . 1-4 \7
D.7÷4- 1
[ ]
A. the meaning is the same as the calculation result
B: the meaning is the same, but the calculation results are different
C. Different meanings, same calculation result
D. the meaning is different from the calculation result.
Wrong. [ ]
A. Boys are 20% less than girls
B 125% of girls are boys.
C. There are 20% more girls than boys.
Four, calculate the following questions (can be simplified as simplified)
5. Find the area of the shaded part in the figure.
Six, column calculation of the following questions
VII. Application Problems
A pig farm raised 400 pigs this year, 25% more than last year. How many pigs were raised last year? (column equation solution)
3. Miss Wang keeps 2500 yuan in the bank for one year, with an annual interest rate of 4.27%. How much principal and interest can he get back after one year?
There are still 3.2km kilometers to be repaired. How many kilometers is this road?
5. For a single project, Party A needs 10h and Party B needs 15h. If both parties cooperate, more.
6.62.8cm thin iron wire just wound 10 turn on the round iron bar. What is the cross-sectional radius of this round iron bar?
7. Xiaohua read a book and plans to finish it in 10 days. In fact, he reads three more pages than planned every day. As a result, he finished it two days in advance. How many pages are there in this book?
1. Clever calculation to show your skill: [43 points] student number and name level.
1. Numbers written directly: (10 points)
7 × 3 14 = 67 ÷ 6 = 45 ÷54 = 1.6 ÷ 0.7 = 1÷3× 13 =
5 14 ÷ 5 14 = 18 ÷ 52 = 13 × 0. 15 = 37 ÷ 78 = 12 × 13 ÷ 13 × 12 =
2. Simplified proportion: (4 points) 3. Proportion: (4 points)
25:6.5 1.5:35 0.3:97 17 :5 14
4. Recursive equation calculation: (9 points)
165 × 3 ÷ 45 259 ÷ 54 ÷ 45 ( 78 + 13 16 )÷ 13 16 58 ÷ 720 ×4 × 7 10
5. Solving equations: (8 points)
34:X = 56 15+4 X = 45 X-23 X = 29 X 3.5 = 45
6. Column solution: (12 points)
① What is the sum of ①3 10/0 and 14? 23 of a certain number is 60. What is 79 of this number?
③ The ratio of A to B is 4: 7, and the sum of the two numbers is 56. ④ 14 15 of a is equal to 54 of b, and b is
What is the number b? 20, what's the armor number? Solution of column equation
2. There are many mysteries in the temple of knowledge: (24 points)
1. Divide the 37-meter iron wire into three parts, each part is () meters and each part is 3 meters ().
2. 13 of12 is (); 12 is () times of 13; () of 13 is112; 1 12 of 13 is ().
3.75 tons = () kg 2 hours and 40 minutes = () hours
4.( )÷ 20 = 6 ÷ 8 = ( )24 = 24( ) =( ) :4
5. 37 of the number of apple baskets is equal to the number of pears, where "37" means that the number of baskets in () is regarded as "1", and the ratio of the number of apples to the number of pears is ().
6. Car A runs at 2 o'clock 100 km, and car B runs at 3 o'clock 180 km. The speed ratio between car A and car B is ().
7. 1 The ratio of the number of boys to the number of girls in the class is 14: 13, and the number of girls is the number of boys ().
The ratio of the number of boys to the number of classes is (), and the number of girls accounts for () of the number of classes.
8. Li Shifu processes a batch of parts, and it takes three days to process this batch of parts 14. Then, it processes () batches of parts every day.
Half of this batch of parts can be processed within () days.
9. To build a section of highway, the ratio of repaired and not repaired is 5: 4, and () () of this section of highway has been completed.
10. An isosceles triangle, the ratio of its top angle to its bottom angle is 1: 4, and the degrees of the three internal angles of this triangle.
They are (), () and ().
3. Happy Dolemi. (Fill in the serial number of the correct answer in brackets) (6 points)
1. According to the picture, the correct formula is ().
[ ① 120×45 ② 120÷45 ③ 45 ÷ 120 ]
2. A number greater than 0 divided by 14 is a number (). [① Reduce by 4 times ② Expand by 4 times ③ Reduce 14]
The ratio of 3.0.3m to 20cm is ().
[ ① 23 ② 32 ③ 3:2 ]
4. In 200 grams of salt water, there are 40 grams of salt, and the ratio of salt to water is ().
[ ① 1 : 6 ② 1 : 5 ③ 1 : 4 ]
5. A × 34 = B ÷ 34 (both A and B are greater than 0), then ().
[ ① a>b ② a