1. The first question of the first volume of the sixth grade mathematics winter vacation homework.
1. The newly-built primary school spent 900,000 yuan to build a teaching building, which was 300,000 yuan less than planned. What percentage was saved? Two cars, A and B, are driving in opposite directions at the same time. Car A travels 50 kilometers per hour and car B travels 75 kilometers per hour. After driving 1.4 hours, the ratio of driving distance to remaining distance is 5: 6. How many kilometers is it between A and B?
Master Wang processed a batch of parts. On the first day, 23 of the total number were less than 60. At this time, the rest is just 60% of this batch of parts. How many parts are there?
My uncle bought back a batch of apples with 4000 yuan, and then sold them at 1 15% of the purchase price. According to the regulations, my uncle has to pay taxes at 25% of the profits. How much should my uncle pay for this business?
A freight yard has 76 tons of goods, and now it needs to rent a car for transportation. There are two kinds of cars to choose from. The situation is that the big trucks transport 5 tons each time, and the freight is 85 yuan, while the small trucks transport 3 tons each time, and the freight is 60 yuan. Please design a car rental scheme to minimize the freight.
2. The second question of the first volume of the sixth grade mathematics winter vacation homework.
First, judge. 1, the reciprocal of a real score must be greater than this real score. ( )
2. If the price of a commodity increases by 10% and then decreases by 10%, the price will remain unchanged. ( )
3. When two fractions are divided, the quotient must be greater than the dividend. ( )
Second, solve the problem.
1, Suning Mall celebrates the New Year. A brand TV with an original price of 3500 yuan is now 15% off. How much cheaper than the original price?
2. Prepare honey water, which is made of honey and water according to the ratio of 1: 8. How many milliliters of honey and water do you need if you prepare 450 milliliters of honey water?
Uncle Zhang deposited 2000 yuan in the bank for 3 years, with an annual interest rate of 4.68%. How much interest tax does uncle Zhang have to pay when he matures? How much money can Uncle Zhang get in the end? (Interest tax is 5%)
3. Three questions about winter vacation homework in the first volume of sixth grade mathematics.
Rapeseed pressed oil 1, 2 100 kg, and the oil yield was 42%. How many Jin of rapeseed did you use? 2. A county planned to afforest 1 000 hectares last year, which actually exceeded the planned 1/8. How many hectares has it actually afforested?
3. Build a section of highway. In the first week, this section of highway was completed by 25%, in the second week, it was completed by 5/ 13, and in two weeks, it was completed by 260 kilometers. How many kilometers is this road?
4. It takes15h for the master to process a batch of parts alone, and15h for the apprentice to process them alone. How many hours does it take for master and apprentice to process these parts together?
Xiao Wang deposited this 500 yuan lucky money into the current savings account. If the annual interest rate is 0.72%, what is the principal and after-tax interest after half a year?
6. The outer diameter of bicycle tire is 7 1 cm. How many minutes does it take to cross a bridge with a length of1100 meters at an average speed of100 cycles per minute?
7. Weld the rebar with the length of10m into a rectangular billboard frame with the length-width ratio of 3: 2 (the interface is omitted). What is the area of this billboard?
4. The fourth question of winter vacation homework in the first volume of sixth grade mathematics
Fill in the blanks. 1. Cut a new circle on a rectangular iron sheet with a length of 25 cm and a width of 20 cm. The radius of this circle is () cm and the area is () cm 2.
2, 25% of the counting unit is (), it has such a counting unit (), plus () such a counting unit is equal to 1.
3. Divide the 3-meter-long iron wire into 5 segments, each segment is () meters, and each segment accounts for ()% of the total length.
Second, the judgment question.
1, the ratio of the circumference to the diameter of a big circle is equal to the ratio of the circumference to the diameter of a small circle. ( )
2. The front and back items of the ratio are multiplied or divided by non-zero numbers at the same time, and the ratio remains unchanged. ( )
3. Divided by a true fraction, the quotient is greater than. ( )
5. Sixth-grade Mathematics winter vacation homework Volume 1 Topic 5
1, Xiao Qiang height 1 m, father height 173 cm. Judgment: Xiao Qiang said that the height ratio between him and his father was 1: 173 ().
Think about it: the ratio of Xiao Qiang's height to his father's height is _ _ _ _ _ _: _ _ _ _ _ _.
The ratio of Xiao Qiang's height to his father's height is _ _ _ _: _ _ _ _ _.
The ratio of Xiao Qiang's height to his father's height is _ _ _ _: _ _ _ _ _.
There are 7 red goldfish and 6 black goldfish in the fish tank. Write the ratio according to the conditions, and then find the ratio.
Red goldfish: Total number of goldfish = _ _ _ _ _ _: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Total number of goldfish: Red goldfish = _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Black goldfish: Total number of goldfish = _ _ _ _ _ _: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Total number of goldfish: black goldfish = _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
3. A project can be completed in five days by a master and eight days by an apprentice.
The working time ratio of master and apprentice is _ _ _ _ _ _: _ _ _ _ _ = _ _ _ _ _ _
The ratio of master's and apprentice's work efficiency is _ _ _ _ _ _: _ _ _ _ = _ _ _ _ _ _