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Primary school mathematics calculation problems (solving equations) 1.2：X=2：15 3/4：6/7=X：5/12
1.2:x=2:15
2x=1.2×15
x=9
3/4：6/7=X：5/12
6/7x=5/12×3/4
x=5/16×7/6
x=35/96
How to use primary school knowledge to solve this problem?
1. If the numerator and denominator of the fraction are increased by one sixth, then the denominator of the fraction is increased by one sixth
2. The numerator and denominator of the fraction 31 / 51 are subtracted by the same number at the same time. After the fraction is approximately divided, we get 7 / 12. What is the number subtracted?
Let the numerator be x and the denominator be y
X+Y=31
X/(Y+11)=1/6
X=25 Y=6
It turned out to be 6 / 25
If you subtract the same number from the numerator and denominator of a fraction of 31 out of 51, you will get 7 out of 12. What is the minus number
Let X be subtracted
（31-x）/（51-x）＝7/12
12（31-x）＝7（51-x）
x＝3
Ask a physics problem, application problem, require writing process, follow the physics problem-solving format
There is a thermometer with nonstandard scale. Insert it into the ice water mixture and the reading is 15 ℃; insert it into the boiling water with 1 standard atmospheric pressure and the reading is 95 ℃; if you insert it into a liquid and the reading is 35 ℃, what is the actual temperature of the liquid?
Under one standard atmospheric pressure, the temperature of ice water mixture is 0 ℃ and the boiling water is 100 ℃
The actual graduation value of this thermometer is (95 ℃ - 15 ℃) △ 100 = 0.8 ℃
So the actual temperature of the liquid is (35 ℃ - 15 ℃) △ 0.8 ℃ = 25 ℃
288/v = d/u = 120/u+v + 120/u-v
Find D
It's a process
If we divide 120 / U + V + 120 / U-V = 288 / V, we can get 240u / (square of U-V) = 288 / v. if we divide 10u / (square of U-V) = 12 / v10uv = 12 (square of U-V) 6u-5uv-6v = 02u = 3V or 3U = - 2V into 288 / v = D / u, we can get d = 432 or D = - 192
1. What percentage of the earth's surface area is the ocean?
2. How many thousand square kilometers is the total area of the earth's surface?
3. How many thousand square kilometers is the land area?
(the total ocean area is about 362.3 million square kilometers, and the land area is about 29.1%)
A.36230/｛36230/（1-29.1%）｝
B.1-29.1%
C.36230/29.1%
D.36230/（1-29.1%）
E.36230*29.1%
F.36230/（1-29.1%）*29.1%
Is the first question a or B-
A D F
1. If 1 / 2 of x = 5Y, then x and y are ()
A. Positive proportion B. negative proportion C. out of proportion
2. Pour 5 liters of water into a cuboid shaped container, the height of the water and the bottom area of the container ()
A. In proportion B. in inverse proportion C. out of proportion
The first question (1 / x) = 5Y, so xy = 1 / 5, so x and y are inversely proportional
Because 5 liters of water is poured into a cuboid shaped container, the cuboid container has a volume of 5 liters
So the height of the water x the area of the bottom of the container = 5 liters, so it is inversely proportional to B
Inversely proportional: the larger x is, the smaller y is
Proportional: the greater x, the greater y
1. Unfold a cylinder. Its side is a square with side length of 1 decimeter. The surface area of the cylinder is () square decimeter
A.1/4π+1 B.1/2π+1 C.1/2π D.1/4π E.1
2. Cut a cuboid into five equal cubes, the surface area of the original cuboid is increased by ()
A.1/5 B.5/6 C.2/11 D.4/11
3. The volume ratio of a cylinder to a cone is 4:3, and the bottom area ratio is 4:1. If the height of the cone is 7.2 cm, then the height of the cylinder is ()
A. 0.8 cm b.1.2 cm c.1.6 cm d.3.4 cm
4. A rectangular iron bucket, its volume is 64 cubic decimeters, the bottom is a square with side length of 0.4 meters. If 80% water is filled into the bucket, the height of the water surface is ()
A. 4 decimeters b.4.8 decimeters c.3.2 decimeters
Better give the reason!
B (side area is 1, bottom area is 1 / 4 π)
D
A
c
There are three cases. If two cases weigh 83 kg, 85 kg and 86 kg respectively, the lightest one is () kg
A.41 B.42 C.43 D.40
(83+85+86)/2=128
128-83=45
128-85=43
128-86=42
The lightest is 42
Choose B
1、 In a scale, if the product of two inner terms is 1, then the two outer terms ()
A. Reciprocal B. quotient is 1. C. and 1
2、 A formula can be formed by 0.25, 0.75, 24 and ()
A.8 B.16 C.25
1、 In a scale, if the product of two inner terms is 1, then two outer terms (a)
A. Reciprocal B. quotient is 1. C. and 1
2、 A proportional formula can be formed by 0.25, 0.75, 24 and (a)
A.8 B.16 C.25
If water becomes ice, its volume will increase by 1 / 10, then how many cubic meters is the ice volume after 1 / 2 cubic meters of water becomes ice, and how many cubic meters should be the water volume after 99 / 100 cubic meters of water turns into water
½×(1+1/10)=11/20
When 1 / 2 cubic meter of water forms ice, the volume of ice is 11 / 20 cubic meters
99/100÷(1+1/10)=9/10
After 99 / 100 cubic meters of ice turns into water, the volume of water should be 9 / 10 cubic meters
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