Math topic中文

Formulating equations

formulating equations to solve problems

Practice questions

  1. 1On 1st January 2018, Mrs Yeo invests $15000 in an account which pays at a rate of compound interest of RR% per year. O…
  2. 2The diagram (not drawn to scale) shows the speed-time graph of a vehicle. The vehicle starts from rest and accelerates u…
  3. 3A bag contains 4 black coins, 7 red coins and 11 white coins. Two coins are drawn from the bag at random, one after anot…
  4. 4A piece of wood which was 50 cm long, was in the shape of a uniform cylinder. A prism is cut out from the wood such that…
  5. 5The diagram below shows the speed-time graph of a bus journey. The bus accelerated from rest at 1.25 m/s^2 to a speed of…
  6. 6Adam has some 50-cent and 20-cent coins in his wallet. Given that he has a total of 73 coins adding up to a value of $2…
  7. 7一种商品售价为进价的1.1倍，现每件又降价10元，现售价为每件210元，该商品的进价为 元．
  8. 8家电下乡是我国应对当前国际金融危机，惠农强农，带动工业生产，促进消费，拉动内需的一项重要举措．国家规定，农民购买家电下乡产品将得到销售价格13%的补贴资金．今年5月1日，甲商场向农民销售某种家电下乡手机20部．已知从甲商场售出的这20部手机…
  9. 9购买甲、乙两种糖果共100斤，花了1280元，其中甲糖果每斤11元，乙糖果每斤13元，则甲糖果够买的斤数为（ ） A. 586 B. 90 C. 10 D. 无法确定
  10. 10《九章算术》中《均输》卷记载了一道有趣的数学问题：“今有凫((野鸭))起南海，七日至北海；雁起北海，九日至南海．今凫雁俱起，问何日相逢？” 大意为：野鸭从南海起飞，77天飞到北海；大雁从北海起飞，99天飞到南海．现野…
  11. 11The marked price of a mobile phone is $1288. After selling the mobile phone at 15% discount, the shop owner still makes…
  12. 12张明3h3h清点完一批图书的一半，李强加入清点另一半图书的工作，两人合作1.2h1.2h清点完另一半图书.哪个人清点速度快？
  13. 13A bag contains 12 balls. 2 of the balls are red, n are green balls and the rest are blue balls. Eunice takes two balls f…
  14. 14某村原有林地108公顷，旱地54公顷，为保护环境，需把一部分旱地改造为林地，使旱地面积占林地面积的20%．设把x公顷旱地改为林地，则可列方程（ ） A. 54﹣x=20%×108 B. 54﹣x=20%（108+x） C. 54+x=20%…
  15. 15The approximate mass of the earth is 5.976×10245.976 \times 10^{24} kg. How many times is the earth heavier than an average male…
  16. 16一件服装标价500元，若以6折销售，仍可获利20%，则这件服装进价为 元．
  17. 17一次数学竞赛共有 20 道题．做对一道题得5分，做错一题倒扣2分，刘冬考了72分，你知道刘冬做对（ ）道题． A. 6 B. 12 C. 14 D. 16
  18. 18已知数轴上有A，B，C三点，分别代表-12，-5，5，两只电子蚂蚁甲、乙分别从A，C两点同时出发，甲的速度是每秒2个单位，乙的速度是每秒3个单位 （1）若甲、乙相向而行，问甲、乙在数轴上的哪个点相遇？ （2）若甲、乙相向而行，问多少秒后甲到…
  19. 19A chess club currently has 37 male members and 16 female members. The club hosted a Valentine's Day event to attract mar…
  20. 20某生产车间有6060名工人生产太阳镜，11名工人每天可生产镜片200200片或镜架5050个.应如何分配工人生产镜片和镜架，才能使每天生产的产品配套？
  21. 21AA，BB两站间的距离为448km448km，一列慢车从AA站出发，每小时行驶60km60km，一列快车从BB站出发，每小时行驶80km80km，问： (1)两车同时开出，相向而行，出发后多少小时相遇？ (2)两车相向…
  22. 22水池AA，BB，CC都是长方体，深为1.6m1.6m，底部尺寸为3m×4m.13m×4m.1号阀门24min⁡24\min可将无水AA池注满；22号阀门用来从AA池向BB池放水，30min⁡30\min可将AA…
  23. 23田圆圆的妈妈给她买了一套服装共花了150元钱，上衣的价格是裤子的1.5倍，上衣和裤子各花了多少钱？（建议你用方程解）
  24. 24我市某校为了创建书香校园，去年购进一批图书.经了解，科普书的单价比文学书的单价多44元，用1200012000元购进的科普书与用80008000元购进的文学书本数相等． (1)文学书和科普书的单价各多少钱？ (2)今年文学书和科普书的单…
  25. 25在数轴上，点MM，NN表示的数分别是x1x_{1}，x2x_{2}，我们把x1x_{1}，x2x_{2}之差的绝对值叫做点MM，NN之间的距离，即MN=∣x1−x2∣.(1)MN=|x_{1}-x_{2}|.(1)已知数…
  26. 26A bag contains some green counters, some orange counters and some yellow counters. The probability of picking a green co…
  27. 27列二元一次方程组解应用题 某高中允许高三学生从寄宿、走读两种方式中选择一种就读，今年新高三学生总人数与去年相比增加了6％6％，其中选择寄宿的学生增加了20％20％，选择走读的学生减少了15％15％，若去年高三学生的总数为500500…
  28. 28In a class of 36 students, each student is either in a sports team or a performing arts club. Each student is also eithe…
  29. 29A composite solid is made from a cylinder and two hemispheres. The cylinder has radius pp and length 2p2p, while the he…
  30. 30将若干个苹果分给孩子若干人，若每人5个，则不足2个，若每人4个则尚余3个，设孩子有x人，可列出方程 ．
  31. 31The diagram shows the speed-time graph of two cars, A and B. Car A, starting from rest, accelerates uniformly for 2 seco…
  32. 32Complete the table of values for y=x−4x2y = x - \frac{4}{x^2}. Values are given to one decimal place where appropriate. Compl…
  33. 33某班科技兴趣小组的学生，将自己的作品向本组其他成员各赠送一件，全组共相互赠送作品56件，若全组有x名同学，则根据题意列出的方程是（ ） A. x（x-1）=56×2 B. 2x（x+1）=56 C. x（x+1）=56 D. x（x-1）=…
  34. 34A factory prints posters for corporate events. The prices of printing posters of different sizes are listed below. The f…
  35. 35王先生到银行存了一笔三年期的定期存款，年利率是4.25%.4.25\%.若到期后取出得到本息((本金++利息)33825)33825元.设王先生存入的本金为xx元，则下面所列方程正确的是()() A. x+3×4.25%x=33825x+3×4.25\%x=33825…
  36. 36Town P and Town Q are 40 km apart. A car is travelling from Town P to Town Q at an average speed of x km/h. During its r…
  37. 37小明和爸爸一起植树，爸爸每小时植树10棵，植了一段时间后小明接着植，小明每小时植6棵，两人共植树8小时，共植了60棵。问：小明植了多少棵？
  38. 38如果一个角的余角比这个角大30°，则这个角的补角的度数是 ．
  39. 39The variables x and y are connected by the equation y=x+5x2−3y = x + \frac{5}{x^2} - 3 Some corresponding values of x and y are…
  40. 40The variables x and y are connected by the equation y=x35−2x+1y = \frac{x^3}{5} - 2x + 1. Some corresponding values of x and y a…
  41. 41某同学在AA，BB两家超市发现他看中的随身听的单价相同，书包单价也相同.随身听和书包单价之和是452452元，且随身听的单价比书包单价的44倍少88元． (1)求该同学看中的随身听和书包的单价各是多少元？ (2)某…
  42. 42一家商店因换季将某种服装打折销售，如果每件服装按标价的55折出售，将亏本2020元；如果按标价的88折出售，将盈利4040元． (1)每件服装的标价是多少元？ (2)为保证不亏本，最多能打几折？
  43. 43Mr Tan designed two computer models X and Y. Both have the same manufacturing cost. Mr Tan engaged his existing client M…
  44. 44某种仪器由11个AA部件和11个BB部件配套构成.每个工人每天可以生产AA部件10001000个或者生产BB部件600600个，现有工人1616名，应怎样安排人力才能使每天生产的AA部件和BB…
  45. 45六年级和七年级分别有192192人和133133人，现在需要从两个年级选出133133人参加“读书节”活动，并且要使六年级，七年级剩余学生数之比为22：11，问应从六年级，七年级各选出多少人？
  46. 46Sam's daily morning routine involves getting breakfast before going to work. He travels by car. On a particular day, Sam…
  47. 47A、B两站相距300千米，两车分别以50千米/时和70千米/时的速度，同时从A、B两站开出，相向而行，问几小时后两车相遇？若设x小时后相遇，列方程为 ．
  48. 48The table shows some values for y=310x3−x+1y = \frac{3}{10}x^3 - x + 1 for −3≤x≤3-3 \le x \le 3. | x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |…
  49. 49商店运来一批红毛衣和蓝毛衣共85件，红毛衣的件数比蓝毛衣件数的4倍还多15件，蓝毛衣有多少件？
  50. 50The table below shows part of Ahmad's personal income tax bill. Calculate the values of p and q. Answer p = ... q = ...…
  51. 51一根绳子长10.28米，如果围成一个半圆形，这个半圆的半径是多少米？
  52. 52某商店今年第一季度的利润总额是42万元．其中一月份的利润是三月份的2倍，二月份的利润是三月份的3倍，问三月份的利润是多少万元？
  53. 53某次地震期间，为了紧急安置60名地震灾民，需要搭建可容纳6人或4人的帐篷，若所搭建的帐篷恰好（即不多不少）能容纳这60名灾民，则不同的搭建方案有 种．
  54. 54A bag contains black, blue and yellow balls. A ball is picked at random from the bag. The probability that the ball is b…
  55. 55建筑公司有红、白两种砖，其中红砖量是白砖量的2倍，计划建造若干座住宅．如果每座住宅需用红砖80立方米，白砖30立方米，那么红砖缺40立方米，而白砖多40立方米．建筑公司可建造多少座住宅？红砖有多少立方米？
  56. 56The variables x and y are connected by the equation y=x35−2x+2y=\frac{x^3}{5}-2x+2. Some corresponding values of x and y are giv…
  57. 57甲、乙两列火车的长为144m和180m，甲车比乙车每秒多行4m．两列火车相向而行，从相遇到全部错开需9s，问两车的速度各是多少？
  58. 58The diagram shows two open containers, a right cylinder and an inverted frustum. The right cylinder has a base radius of…
  59. 59Mr Smith plans to invest his money in unit trust with a bank. His target is to earn an interest of $10,000 after 5 year…
  60. 60某物流公司承接AA、BB两种货物运输业务，已知55月份AA货物运费单价为5050元//吨，BB货物运费单价为3030元//吨，共收取运费95009500元；66月份由于油价上涨，运费单…