Math topic中文

Conversion of units

conversion of units (e.g. km/h to m/s)

Practice questions

  1. 1The diagram shows the positions of a harbour, H, a lighthouse, L, and two buoys P and Q. HPQ is a straight line. The bea…
  2. 2A 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…
  3. 3A map has a scale of 1 : 150 000. The length of a road on the map is 6.4 cm. Calculate the actual length, in kilometres,…
  4. 4The diagrams show the speed-time graph and the corresponding distance-time graph of a car. The car travelled from a poin…
  5. 5The marked price of a mobile phone is $1288. After selling the mobile phone at 15% discount, the shop owner still makes…
  6. 6张叔叔骑着电动车去15km外的农村办事，他的电动车车轮的外直径是40cm，平均转速是每分钟200转，他能在一个小时内到达目的地吗？
  7. 7一根长22米，横截面直径是66厘米的木棍，截成44段后表面积增加了 ___ ，它原来的体积是 ___ .
  8. 8一幅地图，图上4厘米的距离表示实际距离20千米，这幅图的比例尺是 ．
  9. 918dm＝ （ ___ ） m 2.56t＝ （ ___ ） kg 0.85dm 2 （ ___ ） cm 2 6km480m＝ （ ___ ） km
  10. 10AA，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…
  11. 11A cargo ship has an average fuel consumption of 0.000 892 kilometres per litre. Write this consumption in litres per kil…
  12. 12一个零件的实际长度是 3 毫米，在一幅图纸上量得它的长度是 15 厘米，这幅图纸的比例尺是（ ）。 A. 50 ∶ 1 B. 1 ∶ 5 C. 1 ∶ 50
  13. 13A factory prints posters for corporate events. The prices of printing posters of different sizes are listed below. The f…
  14. 14A lake has an actual area of 2.56 km^2. It is represented by an area of 4 cm^2 on a map. Find the scale of the map in th…
  15. 15Town 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…
  16. 16A forest reserve of area 225 km^2 is represented by an area of 36 cm^2 on a map. Given that the scale of the map is 1 :…
  17. 17成人的一般的步行速度大约是每分钟60米～70米，张家港港区到市区大约24千米，请你估计一下，一个成人从港区步行到市区大约需要（ ）小时．（中途不休息） A. 40 B. 4 C. 0.4 D. 6
  18. 18Mr Tan took 4 hours to travel from Town A to Town B. Mr Lim took 8 hours to travel in the opposite direction from Town B…
  19. 19Sam's daily morning routine involves getting breakfast before going to work. He travels by car. On a particular day, Sam…
  20. 20填上＞、＜或=． 6厘米 60毫米 50千米 400厘米 800克 1千克 2米 19分米 3吨 3000千克 6吨 7千克．
  21. 21Airport B is 500 km away from airport A on a bearing of 064°. An aircraft leaves airport A at 22 45 on Monday to fly to…
  22. 22小颖家离学校12001200米，其中有一段为上坡路，另一段为下坡路.她去学校共用了1616分钟.假设小颖上坡路的平均速度是33千米//时，下坡路的平均速度是55千米//时.若设小颖上坡用了xx分钟，下坡用了…
  23. 23在一幅比例尺为1：400000的地图上，某条道路的长度为1.5cm，则这条道路的实际长度为___km．
  24. 24学校操场一圈是400400米，王老师绕操场跑了22圈，他跑了___米，再跑___米就是11千米．
  25. 25Gino can paint 6 fence panels in 4 hours, while Danish can paint 7 fence panels in 5 hours. Gino and Danish work togethe…
  26. 26AA、BB两地间相距1515千米．甲乙两人分别骑自行车从两地同时出发相对而行，1010分钟后，两人相距7.27.2千米．甲每分钟行600600米，乙每分钟行多少米？
  27. 27The table shows the currency exchange rate between Singapore dollars ($) and Thai Baht (THB) at a money changer. Before…
  28. 28The table below shows the price board displayed at a petrol station on 12 April 2023. Pump price refers to the price bef…
  29. 29John and Peter took part in a marathon race. They each ran 42 km. (a) John ran at a constant speed of x kilometres per h…
  30. 302.8时= 时 分，5千克15克= 千克．
  31. 31A hot water tank is made by joining a hemisphere of radius 30 cm to a cylinder of radius 30 cm and height 70 cm. Calcula…
  32. 32Gillian wants to make cylindrical soy wax candles as farewell gifts for 50 classmates and friends in school. The diagram…
  33. 33小强比小芳高0.19米，小芳比小虎矮22厘米，小虎比小强高多少米．
  34. 34在比例尺是1：1000000的地图上，量得港珠澳大桥全长5.5厘米，大桥实际长度是 千米；一辆汽车以100千米/时的速度过桥，需要 小时。
  35. 35Express the ratio 3233\frac{2}{3} kg : 450 g : 3×1023\times10^{2} g in its simplest form. Answer ... : ... : ...
  36. 36The map of a park is drawn to a scale of 1: n. A garden, which has an actual area of 0.32 km^2, is represented by an are…
  37. 37The diagram shows the speed-time graph of a cyclist from Town A to Town B. The total distance travelled by the cyclist i…
  38. 38A map of the United States of America has a scale of 1:8 000 0001 : 8\,000\,000. The length of the Mississippi River is 3766 km.…
  39. 39Peter is shopping for an air conditioner. Peter writes down the duration he would use the air conditioner in the followi…
  40. 40An aircraft waiting to land is flying around a triangular circuit ABC. A, B and C are vertically above three beacons, X,…
  41. 41P, Q, R and S are four villages located on an island, where Q is due north of R. PQ = 924 m, QR = 640 m, PR = 1124 m, RS…
  42. 42小峰以每分钟120米的速度从学校跑向3千米外的冬令营，问时营地老师问询前往迎接，每分钟走80米，又过了3分钟，小智从学校骑车去营地报到，结果三人在途中某地相遇，请问：小智每分钟骑多少米？
  43. 43The seating capacity of an auditorium is 300. The seats are categorised as 1, 2, 3 and 4. The costs of the tickets in th…
  44. 44甲第一小时行 26 千米，第二小时行 24 千米，再行同样的路程，就可到达终点，这条路长多少米？
  45. 45一个零件长66毫米，画在设计图上是33厘米，求这幅图的比例尺．
  46. 46Rebecca always travels by taxi to work. To get a taxi, she has two options. She can either flag down a taxi at the roads…
  47. 47一根长6m6m的长方体木料，锯成两段，表面积增加了80cm280cm^{2}，原来这根木料的体积是 ___cm3cm^{3}。
  48. 48Convert 40° into radians. Leave your answers in terms of π\pi. Answer ... radians Convert 23 km/h into m/s. Answer ...…
  49. 49一个长方体铁皮水桶高5厘米，它的底面积是8平方分米，这个水桶的容积是 升．
  50. 50王老师骑车的速度是1515千米//时，他从家骑车到学校要用0.250.25小时。如果他改为步行，每小时走5km5km，用5050分钟能走到学校吗？
  51. 51Roy made a model of his yacht with a scale of 1 : 40. The actual length of the yacht is 12.5 m, find the length of the m…
  52. 52Nurul took 2.5 hours to travel at a constant speed from Town A to B. On her journey back, she increased her constant spe…
  53. 53ABL is a park on horizontal ground. A is 1390 m from L on a bearing of 076°. B is 960 m from L on a bearing of 138°. Fin…
  54. 54A map has a scale of 1 : 50 000. The distance between two towns on the map is 7.5 cm. Calculate the actual distance betw…
  55. 55某中学生军训，沿着与笔直的铁路并列的公路匀速前进，每小时走45004500米，一列火车以每小时120120千米的速度迎面开来，测得火车与队首学生相遇，到车尾与队末学生相遇共经过6060秒，如果队伍长500500米，那么火车长()()…
  56. 56在括号里填合适的数。 3 分 30 秒＝ （ ___ ） 秒 50 毫米＝ （ ___ ） 厘米 8 吨＝ （ ___ ） 千克 3 分米＝ （ ___ ） 厘米 70 米＝ （ ___ ） 厘米 6000 米＝ （ ___ ） 千米
  57. 57A photocopier can photocopy at a rate of 30 double-sided papers per minute. Calculate in minutes, the time taken to prin…
  58. 5860毫米= 厘米 8米= 分米 4000千克= 吨 7千米= 米 1米-2分米= 分米 1分米-5厘米= 厘米 3米-24分米= 分米 28毫米+52毫米= 毫米= 厘米 1600千克-600千克= 吨．
  59. 59一个圆柱型压路机，半径是80厘米，宽2米，那么压路机转动一圈压过的面积是 平方米．
  60. 60The speed-time graph shows the journey that Lim makes during a three-hour journey. Find the acceleration at 0815. Answer…