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Senior one math test paper (must be original)
Li Chenxi, Class 8, Grade 7.

Mathematics is closely related to our life, and the footsteps of mathematics are everywhere. With the gradual improvement of market economy, economic activities in people's daily life are becoming more and more colorful. Trading, deposits and insurance, stocks and bonds have all entered our lives. At the same time, mathematics, profit ratio and proportion, interest and interest rate, statistics and probability, logistics and optimization, system analysis and decision-making related to this series of economic activities will all become "guests" in mathematics courses. In real life, people's lives tend to be economic and rational. The Spring Festival is coming, and every household is buying new year's goods. As salespeople, we need to find out what customers mainly need at this stage. In this period, everyone needs Spring Festival supplies, such as decorative window grilles, New Year pictures, couplets, lanterns and so on. Candy, dry goods, etc. Used to entertain guests; Gifts used when visiting relatives and friends; Buy new clothes, red envelopes, etc. for children during the Spring Festival ... We can raise the prices of these goods appropriately. In order to meet the needs of customers, the working hours of shops can be appropriately extended. For those goods with large sales volume, we should not only purchase goods quickly, but also input different types and quantities according to the changes of current consumption trends. Of course, for out-of-season products, we should also adjust the price appropriately as a means of promotion to avoid the backlog of goods. You can print the words "Spring Festival promotion", reduce the price when the business allows, and withdraw funds in the form of "small profits but quick turnover" to buy more hot-selling goods during the Spring Festival. "Small profits but quick turnover" is conditional. Only those projects with high price elasticity can implement small profits but quick turnover. Small profits mean that goods will be sold at lower prices, but they will sell more. Then this kind of goods should be elastic. Elasticity refers to the percentage of changes in commodity demand caused by one percent price changes in a certain period. Only in this way can we ensure our daily expenses, such as venue rental fees, utilities, employee salaries, etc ... and make as much profit as possible.

We have to raise the price for the new product that has just been put on the market. For example, clothing, it is late winter and early spring, and spring clothes have been listed, so the new style of spring clothes must attract customers' attention. We can use this to put the new spring clothes in a conspicuous place. Of course, the price of new clothes should be raised. As long as the customer's psychology is grasped, the appropriate high price will not affect the sales. Price adjustment is also skillful. When we sell it, the price tag can be 50% or 60% or even two or three times higher than the purchase price, and then we can get a discount. Not only caters to customers' psychology, we can also get a lot of profits from it.

I studied mathematics in the mall from the perspective of the buyer of mathematics.

Li Chenxi, Class 8, Grade 7.

As a buyer, the most important thing is to shop around. When buying a dress, you might as well write down the brand, size and price first, and then go to other stores for comparison. The price of a commodity is purchase price+freight+tax+manufacturer's profit, as well as a series of additional costs such as store rent and employee salary, so the selling price is often much higher than the value of the commodity. There is actually a better way to save money-online shopping. Online shopping is much cheaper. On the Internet, the price of an item is purchase price+freight. A three or four hundred clothes may only sell for fifty or sixty online, which is very affordable. Even the freight is much cheaper. So, I think we should choose the right things in the mall now, remember the brand, article number and the right size, and then buy them online. Of course, some things can't be bought online, so we should shop around and choose the most affordable one before buying. There may be many people who think that you can get a good product at a lower price, but there is no good product at a lower price ... I can say that as long as you master the method, you can buy good things at a lower price. The same commodity, cheap or expensive, which would you choose?

Everyone knows that things on the Internet are cheap, but they are more risky. This requires us to be vigilant! Merchants who sell things online are reputable, and this reputation is directly displayed on the webpage for buyers' reference. At the same time, there are volume, favorable comments and buyer's messages, which are all set by shopping websites to prevent online scammers from cheating. Now online shopping is very transparent, and you won't lose money if you visit more.

After all, online shopping is still risky, so let's take a look at the activities in the mall. There are many activities in the shopping mall, which are very attractive. Is there any small trap? At this time, we need to use our mathematics!

"Buy one get one free, get 200 for over 200!" Yo, look, here comes the activity!

1. Complete coupon sales campaign

Every holiday, we walk in the busy street, and the promotional signs of "200 for 200" can be seen everywhere. Consumers flock to shopping malls, which are crowded with people, and snapping up is a common occurrence. In fact, the merchants have already laid their wishful thinking in their hearts. As the saying goes, only buy at a loss, don't sell at a loss, and "sending 200 yuan coupons for over 200 yuan" is just a sales promotion method for merchants, which hides mathematical problems.

Just say that 200 yuan sent a shopping voucher to 200 yuan. A customer first bought a cashmere coat from 490 yuan and gave a shopping voucher from 400 yuan. At this time, ordinary customers will have a feeling of picking up the 400 yuan shopping vouchers, so they will have a strong desire to buy and want to spend them quickly (ordinary merchants' shopping vouchers are limited in time, and will expire if they don't spend them for a certain period of time). So the customer spent 248 yuan on a pair of shoes, and the rest/kloc-0 128 yuan in 50 yuan bought a scarf. So how much cheaper is the customer? We can work out 128+248+490=866 (yuan), which we need to spend without discount. 490/866, the discount is about 56%. This gentleman handled it well, because shopping vouchers can only be used in designated places. If you buy it and give it away, you can buy it ... If this cycle goes on, the merchants will make a big profit! Because you have to spend money in this place all the time, even if the merchants set you up, it really seems that mathematics is really important! ! !

"Look at the newspaper! Look at it! There is a prize ~! Huh? ! There are also mall discounts ~! But which economy? " Look at that! Another activity ...

2. Comparison between prize sales and discount sales

Two advertisements were reported in the newspaper. There are prizes for sale in a commercial building: first prize 10000 RMB 1, first prize 1000 RMB 2, second prize 100 RMB 10, third prize 200 5 yuan, and 15% discount for second-class commercial buildings. Let's think about it; Which sales method is more attractive? Which commercial building is of great benefit to consumers?

In the face of problems, we can't be clear at a glance. In practical problems, there is no limit to the turnover of each group of prize-winning sales in Building A and the number of people participating in the lucky draw, so there should be several answers to this question.

Analysis: (1) If the number of participants is less than 213 (112+/kloc-0+200 = 213), people will think that the chances of winning the prize are greater, and the sales model of the shopping mall will attract customers more. (2) If a shopping mall decides to draw a lottery in a unit time, and there are many consumers in a unit time, then the preferential margin it gives customers is correspondingly small. Because the discount offered by a shopping mall is fixed, * *14000 yuan (10000+1000+1000 =14000 yuan). Assuming that the discounts offered by the two commercial buildings are 14000 yuan, we can know that the turnover of the second commercial building is

"Oh ~ ~ ~ so that's it! It depends on the number of people! It also involves the preferential amount, um ... how important mathematics is! "

Learning mathematics is very important, but the ultimate goal is to apply it to real life reasonably. We should learn to use mathematics!