2.( 1) Today is Sunday. What day is today?
(2) Someone drove a car for a long journey of 32,000 kilometers. In addition to four tires, he only brought a spare tire. In order to make the five tires wear equally, the driver rotates five tires regularly, when he reaches the finish line. How many kilometers have each tire traveled?
The average age of Party A, Party B and Party C is 42 years old. If Party A's age increases by 7 years, Party B's age increases by 2 times, and Party C's age decreases by 2 times, then the three people are equal. What is the age of Party C?
4. Five referees score a gymnast, excluding a highest score and a lowest score, with an average score of 9.58; If the highest score is removed, the average score is 9.46, and if the lowest score is removed, the average score is 9.66. What is the difference between the highest score and the lowest score of an athlete?
There are 76 students in Grade Five, of whom 13 girls and half boys take part in the math competition, and the rest are equal. How many more boys are there than girls in this grade?
6. A flower 140 yuan bought a coat, a hat and a pair of shoes. A coat is more expensive than a hat, 90 yuan. A coat and a hat are more expensive than shoes 120 yuan. How much is a pair of shoes?
7. There are three ships, A, B and C. The speed of A is 6 kilometers per hour, B is 5 kilometers per hour, and C is 3 kilometers per hour. Minlang's elegy set out in the same time, place and direction and sailed around the island, with a circumference of 15km. How many hours later, Minlang's elegy met again?
8. automobile odometer shows that cars with a speed less than 100 km/h have driven 1595 1 km. Two hours later, the figures on the odometer showed that both sides were the same. Find the speed.
9. The total weight of several cases of goods is 19.5 tons, and the weight of each case does not exceed 353 kg. There are cars with a load of 1.5 tons today. How many cars do you need to transport all these boxes at once?
10. A school has 13 extracurricular interest groups. The number of people in each group is as follows. One afternoon, the school held two lectures on Chinese and mathematics at the same time. It is understood that 12 group attended the lecture. Among them, the number of people listening to Chinese class is six times that of math class, and there is also a group to discuss problems in class. Which group is this?
Simulated test paper answer:
1. There are 1 numbers from 1 to1.There are 1 1 to 100 * * numbers. There are 300 numbers from 10 1 to 200***. In other words, the number of numbers to be used in 200 pages is:
11+181+300 = 492 (piece)
Judging from the known quantity, the remaining figures are:
723-492 = 23 1 (piece)
Use 3 numbers per page, and you can also edit:
23 1 ÷ 3 = 77 (page)
So this book has 277 pages.
2.( 1)
Another day, 1+ 1 = 2, so that day is Monday.
(2) If the tires are not changed, the car will travel 32,000 kilometers per tire. * * * has four tires, and * * * will drive:
32,000× 4 =128,000 (km)
Now five tires are used in rotation, which requires each tire to have the same degree of wear, that is, each tire has the same mileage.
128000 ÷ 5 = 25600 km
The average age is 42 years old, so the total age of the three people is
42×3= 126
Suppose B's age is X, then A's age is (2x-7) and C's age is 4x.
So, C's age is
According to the meaning of the question, this athlete should get 5 points. Excluding one highest score and one lowest score, the other three scores are 9.58× 3 = 28.74.
Excluding the highest score, the total score of the other four is 9.46× 4 = 37.84.
Excluding one lowest score, the total score of the other four is 9.66× 4 = 38.64.
So the highest score is 38.64-28.74 = 9.9.
The lowest score is: 37.84-28.74 = 9. 1.
Their difference is: 9.9-9. 1 = 0.8 (minutes).
If there are x boys in the fifth grade, there are 76-X girls. Make an equation according to the meaning of the question.
There are 76-42 girls = 34.
There are more boys than girls in grade five.
42-34 = 8 (person)
6. According to the meaning of the question, the relationship between the prices of the three commodities is:
Coat+hat+shoes = 140 (1)
Big coat = 90 (2)
Coat+hat-shoes = 120 (3)
It is actually a system of linear equations with three variables.
( 1)+(3)
Two coats and two hats = 260.
1 coat+1 hat = 130 (4)
Coat from (2)+(3) = 1 10 (yuan)
Hat = 20 (yuan)
Substitute (1) to get the price of a pair of shoes.
140-110-20 =10 (yuan)
7. it is necessary for ship a to catch up with ship B.
15 ÷ (6-5) = 15 (hours)
It is necessary for ship A to catch up with ship C.
15 ÷ (6-3) = 5 (hours)
It is necessary for ship B to catch up with ship C.
15 ÷ (5-3) = 7.5 (hours)
〔 15,5,7.5〕= 15
Minlang's elegy met again in 15 hours.
8. According to the meaning of the question, the speed is less than 100 km/h, but not less than 25 km.
So after two hours, the number on the automobile odometer can be set to
16a6 1 when a>0, the minimum value is 1.
16 16 1- 1595 1=2 10
That is, the car travels more than 200 kilometers in two hours, which does not meet the meaning of the question. Therefore, the odometer number with a = 0 is 1606 1.
Cars run every hour.
(16061-15951) ÷ 2 = 55 (km)
9. Some people think that19.5 ÷1.5 = 13, then13 cars can carry all these boxes away, which is a misunderstanding. The goods are packed in whole cases, and every car is not necessarily full.
If there are 65 cases of goods * * *, the weight of 64 cases in * * * is 30 1 kg, and the weight of 1 case is 236 kg, so the total weight is
30 1× 64+236 = 19500 (kg)
30 1× 5 = 1505 (kg)
That is, the weight of five cases is 1.505 tons, exceeding 1.5 tons. So each car can only hold four boxes at most, and 15 car can only hold 60 boxes. There are also four boxes of 30 1 kg, 1 box, weighing 236 kg. Do you need two cars? We can arrange 16 cars.
Obviously, 301× 4+236 =1440 (kg), that is, no more than 1.5 tons.
The above is just an example. The weight of each box is only required to be no more than 353kg. There are no other restrictions. It is also necessary to verify the general situation, and all 16 cars can be delivered.
Let 12 truck load just over 1.5 tons, and the last box will not exceed 1.5 tons. Then 12 shall be packed with 3 cars, each with 4 boxes, and the total weight of 4 boxes shall not exceed 353× 4 = 14 12 (.
At this time, the 15 car has loaded all the goods of the original 12 car, and the total weight exceeds 1.5× 12 = 18 (tons).
And each car does not exceed 1.5 tons, and the remaining goods are insufficient.
19.5-18 =1.5 (ton)
Can be loaded on the 16 car.
10. Because the number of people listening to Chinese class is six times that of math class, the total number of people attending classes is a multiple of seven.
The total number of people in 13 group is 160.
So 160 minus the group that didn't attend the lecture must be a multiple of 7, which can only be verified by trial calculation.
160-13 =147 meets the requirements.
So the group that didn't attend the class is the ninth group.
Xiamen primary school 2000-200 1 second semester mathematics subject competition volume (group b)
First, multiple-choice questions, add the question number of the correct answer to the horizontal line.
1, at least () identical cubes can be combined into a larger cube.
A: 4 pieces B: 6 pieces C: 8 pieces D: 16 pieces.
2. Divide all natural numbers by divisors, which can be divided into ()
A: prime number and composite number B: odd number and even number C: prime number, composite number and 1.
3. There are () simplest scores * * * in units of scores.
A: 5 b: 1 c: 9 d: countless
4. If the length, width and height of a cuboid expand by 3 times, its volume will expand by () times.
A: 3 B: 6 C: 9 D: 27
5. In the following formula, the question number is Yes (). This formula is an expression of divisibility.
a: 12÷0.2 = 60 B: 1÷ 1 = 1 C:0.8÷0.2 = 2
6. Multiply all three-digit prime numbers, and their product is ()
A: odd number b: even number c: prime number
7. The numerator and denominator of a fraction are different prime numbers, and this fraction () is the simplest fraction.
A: It must be B: It must not be C: Not necessarily.
8, numerator plus 6, to make the size of the fraction unchanged, the denominator should be ().
A: add 6 B: add 8 C: multiply 3 D: multiply 6
9. As shown in the figure on the right, a cuboid block with the length, width and height of 15cm, 10cm and 5cm respectively, after being divided into three small cuboids, the surface area increased by () square centimeters.
A: 50 B: 100 C: 200 D: 750
10, it takes 6 minutes to cut a stick into three parts. According to this calculation,
If you cut it into four sections, it will take () minutes.
A: 6 B: 8 C: 9 D: 12
Fill in the blanks.
1, A=2×3×5×7, B=3×3×5×5, the greatest common divisor of a and b is, and the least common multiple is.
2, can be divisible by 2 and 3 at the same time the largest three digits is.
3. A cuboid, the sum of its sides is 36 cm, and its width and height are 2 cm and 1 cm respectively. The surface area of this cuboid is square centimeters.
The special fragrant bag shop bought some eggs, the total number is less than 200. Three will leave two, four will leave two, five will leave three, and these eggs will have at most one.
5, a row of telephone poles, the distance between every two is 30 meters, and now it is changed to 45 meters. If one pole of the starting point does not move, at least the other pole does not need to move every other meter.
6. From noon 12, the hour hand and the minute hand meet, and at midnight 12, the hour hand and the minute hand can still meet.
Meeting time.
7. Li Ming has 26 more story books than Wang Hong, but if Li Ming gives Wang Hong one, it will be two less than Wang Hong.
8. Buy 2 bottles of white wine and 12 bottles of beer * * Use 4 yuan. It is known that the price of a bottle of liquor is equal to the price of eight bottles of beer, so a bottle of liquor and a bottle of beer need RMB * * *.
Third, the application problem.
1. Forge a square billet with a side length of 0.6m into a rectangular steel with a cross-sectional area of 0.08m2 How long is the forged steel?
2. The number of fifth-grade students participating in tree planting activities is between 30 and 50. If you divide it into groups of three, four, six and eight, it's all right. How many students took part in planting trees in grade five?
3. A rectangular glass fish tank without a cover is 6 decimeters long, 2 .5 decimeters wide and 4 decimeters high. How many square meters of glass does it take to make such a rain trough?
4. In the division formula with remainder, the sum of dividend, divisor, quotient and remainder is 599, the known quotient is 15, and the remainder is 12. What is the divisor in the title?
Fourth, calculation.
1993× 1994 1994+ 1994× 1993 1993
3/ 1+4/3+3/2
1/6 + 1/2 - 1/6 =
3 - 2/3 = 3/4 - 1/2=
2 - 1/6 - 1/3 =
4/5 - 7/ 10 =
3/4- 1/2+ 1/4=
2- 1/6-2/6- 1/2 =
1. Machine tool factory used to know that each machine tool used steel 1.02 tons. After the improved design, each machine tool saves 0. 12 tons compared with the original machine tool. The first 300 machines used steel. How many machines can be made now?
Xiaoming bought six pencils and four exercise books, each of which cost 0.68 yuan, and each pencil cost 0.24 yuan. Xiao Ming paid 5 yuan money, how much should he get back?
3. Two trains, A and B, leave from two places at the same time. The speed of train A is 80 kilometers per hour, and that of train B is 70 kilometers per hour. 12 hours later, the distance between the two trains is still 1 10 km. How many kilometers are there between these two places?
4. Guangming Paper Mill produced a batch of newsprint, which was originally planned to be completed in 28 days, with a daily output of 12.5 tons. Now it's finished three days ahead of schedule. How many tons are actually produced every day than originally planned?
5. Li Shifu has produced a batch of parts. Three days ago, 126 parts were produced. According to this calculation, it takes 12 days to complete the production task. How many parts are there in this batch?
The chemical fertilizer plant planned to produce 84 tons of chemical fertilizer in 30 days, but actually produced 0.2 tons more than planned every day. How many days did it actually finish the task ahead of schedule?
7. Processing a batch of clothes, 300 sets a day, 16 days can be completed. (1) If 400 sets are processed in one day, how many days in advance?
(2) If 20 sets are processed every day, how many days can it be completed? (3) If it is to be completed five days in advance, how many sets will be processed every day?
8. A car factory planned to produce16,800 cars throughout the year, and as a result, the annual production task was completed two months ahead of schedule. At this rate, how many cars can be produced throughout the year?
9. To produce 7 tons of chemical fertilizer, it has been done for 4 days, producing 0.75 tons per day, and the remaining 5 days will be completed. How many tons per day?
10, a clothing factory used to make a children's dress, using 2.2 meters of cloth each time. Now the cutting method has been improved, and each set saves 0.2 meters of cloth. The cloth used to make 600 sets of this kind of clothes, how many sets can be made now?
1 1. Xiaohong bought three exercise books and three new word books, one at 0.36 yuan and the other at 0.32 yuan. How much did Xiaohong spend less on new word books than on exercise books?
12, students carry water to water trees. Forty-five trees were watered in the third grade, 10 fewer trees were watered in the third grade than in the fourth grade, and half fewer trees were watered in the fourth grade than in the fifth grade. How many more trees are watered in the fifth grade than in the third grade?
13, two engineering teams jointly opened a tunnel, each digging from one end. The first team drives 12.6 meters every day, and the second team drives 14.4 meters every day. Five days after the first team dug, the second team joined, and the 2 1 day tunnel was finally opened.
How long is this tunnel? (2) How many meters did the two teams dig when they got through?
14, the speed of the car is 63 kilometers per hour, and the speed of the car is 1.4 times that of the truck. They started from two places 270 kilometers apart at the same time and drove in opposite directions. (1) How many hours did you meet? (2) How many kilometers did the two cars travel when they met?
15, 0.40 yuan for exercise books and 0.32 yuan for pencils. The teacher asked Xiaohu to buy some exercise books and pencils, and the total price was just given by the teacher 10 yuan. But the tiger confused the number of exercise books with the number of pencils and got back 0.56 yuan. So how many exercise books is the teacher going to let the tiger buy?
1/ 1x 4+ 1/4x 7+ 1/7x 10+.......................+ 1/97x 100
4/2=
10/5=
6/3=
2/2=
3/3=
9/9=
8/8=
7/7=
6/6=
6/2=
9/8-4/9=
8/3-2/7=
1-3/9=
8/7-8/4=
6/9-6/2=
9/5-3/4=
3/2-7/8=
9/8-9/8=
6/7-2/2=
9-3/5=
8/3-4/7=
1.3/7 × 49/9 - 4/3
2.8/9 × 15/36 + 1/27
3. 12× 5/6 – 2/9 ×3
4.8× 5/4 + 1/4
5.6÷ 3/8 – 3/8 ÷6
6.4/7 × 5/9 + 3/7 × 5/9
7.5/2 -( 3/2 + 4/5 )
8.7/8 + ( 1/8 + 1/9 )
9.9 × 5/6 + 5/6
10.3/4 × 8/9 - 1/3
0. 12χ+ 1.8×0.9=7.2
(9-5χ)×0.3= 1.02 6.4χ-χ=28+4.4
1 1.7 × 5/49 + 3/ 14
12.6 ×( 1/2 + 2/3 )
13.8 × 4/5 + 8 × 1 1/5
14.3 1 × 5/6 – 5/6
15.9/7 - ( 2/7 – 10/2 1 )
16.5/9 × 18 – 14 × 2/7
17.4/5 × 25/ 16 + 2/3 × 3/4
18. 14 × 8/7 – 5/6 × 12/ 15
19. 17/32 – 3/4 × 9/24
20.3 × 2/9 + 1/3
2 1.5/7 × 3/25 + 3/7
22.3/ 14 ×× 2/3 + 1/6
23. 1/5 × 2/3 + 5/6
24.9/22 + 1/ 1 1 ÷ 1/2
25.5/3 × 1 1/5 + 4/3
26.45 × 2/3 + 1/3 × 15
27.7/ 19 + 12/ 19 × 5/6
28. 1/4 + 3/4 ÷ 2/3
29.8/7 × 2 1/ 16 + 1/2
30. 10 1 × 1/5 – 1/5 × 2 1
3 1.50+ 160÷40 (58+370)÷(64-45)
32. 120- 144÷ 18+35
33.347+45×2-4 160÷52
34(58+37)÷(64-9×5)
35.95÷(64-45)
36. 178- 145÷5×6+42 420+580-64×2 1÷28
37.8 12-700÷(9+3 1× 1 1) ( 136+64)×(65-345÷23)
38.85+ 14×( 14+208÷26)
39.(284+ 16)×(5 12-8208÷ 18)
40. 120-36×4÷ 18+35
4 1.(58+37)÷(64-9×5)
42.(6.8-6.8×0.55)÷8.5
43.0. 12× 4.8÷0. 12×4.8
44.(3.2× 1.5+2.5)÷ 1.6 (2)3.2×( 1.5+2.5)÷ 1.6
45.6- 1.6÷4= 5.38+7.85-5.37=
46.7.2÷0.8- 1.2×5= 6- 1. 19×3-0.43=
47.6.5×(4.8- 1.2×4)= 0.68× 1.9+0.32× 1.9
48. 10. 15- 10.75×0.4-5.7
49.5.8×(3.87-0. 13)+4.2×3.74
50.32.52-(6+9.728÷3.2)×2.5