2。 Compare the sizes of 4/7 and 3/ 1 1 in at least three ways.
3。 1- 1/ 10- 1/ 100- 1/ 1000- 1/ 10000=
4。 A, b and c are all natural numbers. Try to find a set of numbers of a, b and c, so that they satisfy1/a+1/b+1/c =1.
5。 A bucket of milk was used up 1/3 and 4 liters, leaving half of this bucket of milk. How many liters is this bucket of milk?
6。 Divide a fraction by 1/3. If the sum of denominators of the original numerator is 60, find the original fraction.
7。 The store buys two kinds of fruit candy, A and B, at the same price. 20 yuan per kilogram of Class A candy, and Kloc-0/2 yuan per kilogram of Class B candy. How much is the mixed candy of these two kinds of fruit candy per kilogram?
8。 The average of A, B and C is 44, that of A and B is 40, and that of B and C is 48. Find the average of a and C. ..
9。 Xiaoming said: Now, my mother and I are 44 years old. Mom said: Five years later, I am 28 years older than Xiaoming. How old are Xiaoming and his mother?
10。 There are 60 games, and Party A and Party B take turns to play catch-up games. It is stipulated that each person can take any match within 8 (including 8) at a time, and the winner is the one who takes the match and makes the opponent have no matches to take. If A starts to win first, who will definitely win? How can he win? 1 1. There is a temple on the hill. There are several monks in the temple. When eating, three monks share a bowl of rice and four monks share a bowl of soup. * * * Use 364 bowls. How many monks are there in the temple? 12. A balance has only two chips, five grams and thirty grams. Now we need to use this balance and these two chips to divide 300 grams of pesticide into two parts, one part is100g and the other part is100g. How many times should I weigh it at least? How to say the answer: (1) Let the numerator of the original score be 3x and the denominator be 17x.
So according to the topic, there is 17x-3x=42, so x=3.
So the original score is 9/5 1.
(2) The first type, difference: 4/7-3/11= 23/77 > 0, so 4/7 >; 3/ 1 1
Second, the quotient: (4/7)/(3/1) = 44/21>1,so 4/7 >; 3/ 1 1
Third, find the item, 4/7 >; 1/2，3/ 1 1 & lt； 1/2, so 4/7 >: 3/ 1 1
⑶ 1- 1/ 10- 1/ 100- 1/ 1000- 1/ 10000=( 10000- 1000- 100- 10- 1)/ 10000
=8889/ 10000
(4)1=1/2+1/2 =1/2+1/3+1/6, so the three numbers are 2,3,6.
5] let the original x liter, so x/3+4=x/2, so x=24, so the original 24 liters.
Let the original numerator be X and the original denominator be 3x, then x+3x=60. So x= 15.
So the original score was 15/45.
There was a 2 yuan of * * * flowers, so each flower costs S yuan, so the mass is S/20+s/12 = 2s/15kg.
So the unit price should be 2S/(2S/ 15)= 15 yuan.
The sum of Party A, Party B and Party C is 44*3= 132, the sum of Party A and Party B is 40*2=80, and the sum of Party B and Party C is 48*2=96.
So A is 36 and C is 52, so the average of A and C is 44.
Let Xiao Ming be x years old and his mother be 44-x years old, so: 44-x+5=x+5+28, so x=8.
So this year Xiaoming is 8 years old and his mother is 36 years old!
⑽ A will definitely win, because winning will draw 60th, so as long as you get 5 1, that is.
Just get 42, 33, 24, 15, 6! Therefore, A only needs to take 6 pieces for the first time, and then ignore B..
Take 15, 24, 33, 42, 5 1 60. Therefore, Jia Sheng's ⑾ solution: There are X monks. You have1x+1x = 364127x = 364 [13]127x = 624a: There are 624 monks in the temple. Weigh 5 grams from 30 grams for the second time; For the third time, put 30 grams of the remaining 25 grams as a weight on one side of the balance and weigh 25 grams, then two 25 grams are equal to 50 grams; For the fourth time, 50 grams is used as the weight, and then 50 grams is called 100 grams, and the others are put together to be 200 grams. —————————————————————————— Question: 1. Fill in the blanks 1. There are () cuboids and cubes.
2. The () of a cuboid or cube is called its surface area.
3. The specific gravity () of an object is called its volume.
4.4 is 28 (), and 28 is 4 ().
5. The multiple of a number is (), and the minimum multiple is ().
6. Natural numbers are either () or ().
7. The prime factor of decomposition 60 is ().
8. The volume of a cuboid (or cube) = ().
9.5080ml = () liter = () cubic decimeter.
0.05 cubic meter = () cubic decimeter = () liter
10. The characteristic of a number divisible by both 2 and 5 is ().
1 1. A composite number has at least () divisors.
12. The volume of a square with a length of 3 meters and a base length of 3 meters is () cubic decimeter.
13. The side length of a big cube is twice as long as that of a small cube, which has a large volume.
Second, judgment.
1. Cube is a three-dimensional figure surrounded by six squares. ( )
2. A cuboid with equal length, width and height is a cube. ( )
You can make a big cube with four small cubes of the same size. ( )
4. Natural numbers are either prime numbers or composite numbers. ( )
5. The divisor of a number is limited. ( )
Third, the application problem.
1. Xiaoming reads books, reading an average of 6.25 pages a day for the first 4 days and 24 pages for the last 3 days. How many pages does Xiaoming read every day this week?
The following is the temperature of a certain place in four periods of a day. Calculate the average temperature of this day.
3. A wooden box, length 1.2m, width 0.8m and height1m.. If it is painted all around the outside, what is the area of the painting?
4. There is a kind of rectangular steel, which is 2 meters long and the cross section is a square with a side length of 5 centimeters. Each cubic decimeter of steel weighs 7.8 kilograms. How much does this square steel weigh?
5. There is a fish pond, with a length of 18m, a width of 12m and a depth of 3.5m It is necessary to coat a layer of cement around the fish pond to prevent water seepage. If 5 kilograms of cement is used per square meter, how many kilograms of cement does a * * need?
6. Cut a cube with a volume of 64 cubic centimeters from a cuboid with a length of 6 centimeters. What is the original surface area of this cuboid?
7. What is the smallest number divisible by both 6 and 9?
8. A rectangular piece of paper, 48 cm long and 36 cm wide. Cut this paper into square paper with the same size and no excess. What is the longest side of the square?
Answer:
I. Total area 1.6, 12, 82.6.
3. the size of the space. The divisor multiple is 5. Infinity itself
6. Even and odd numbers 7.60 = 2× 2× 3× 5 8. Bottom area × height
9.5.08 5.08 50 50 10. The location is 0 1 1.3.
Two. 1 .× 2.√ 3 .× 4 .× 5.√
Three. 1.7 2. 13 3.4 square meters 4.39 kilograms 5.2 130 kilograms 6. 128 square centimeters 7. 18. 12 centimeters.