Math topic中文

Unit conversion

conversion between cm2\text{cm}^{2} and m2\text{m}^{2}, and between cm3\text{cm}^{3} and m3\text{m}^{3}

Practice questions

  1. 1A 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…
  2. 2The picture shows a model terracotta warrior. The model has height of 15 cm and weighs 20 grammes. A similar terracotta…
  3. 3An industrial mixer is made up of an open cylinder connected to a cone. The height of the cylinder and the cone is 1.2 m…
  4. 4The volume of an Olympic size swimming pool is 660 000 gallons. 1 gallon is approximately 3790 cm^3. Convert 660 000 gal…
  5. 5A factory prints posters for corporate events. The prices of printing posters of different sizes are listed below. The f…
  6. 6A 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…
  7. 7A 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 :…
  8. 8Figure I shows a piece of wood is in the form of a right circular cone with a base diameter of 18 cm. The curved surface…
  9. 9A new housing estate is represented by an area of 200 cm^2 on a Map A drawn to a scale of 1 : n. Given that the actual a…
  10. 10The table shows the currency exchange rate between Singapore dollars ($) and Thai Baht (THB) at a money changer. Before…
  11. 11The diagram shows a cylindrical container used to dispense coffee in a hotel. Calculate the volume of the cylinder. Answ…
  12. 12A 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…
  13. 13Gillian wants to make cylindrical soy wax candles as farewell gifts for 50 classmates and friends in school. The diagram…
  14. 14The CoV (coronavirus) is circular in shape with a diameter of approximately 0.00014 mm. Express 0.00014 in standard form…
  15. 15The 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…
  16. 16The diagram shows a semicircle, centre O, radius 16 cm. Show that angle AOB = 1.287 radians, correct to 3 decimal places…
  17. 17A 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.…
  18. 18How many square yards of carpet are required to cover a rectangular floor that is 12 feet long and 9 feet wide? (There a…
  19. 19解答下列应用题： (1)某房间的面积为17.6m217.6m^{2}，房间地面恰好由110110块相同的正方形地砖铺成，每块地砖的边长是多少？ (2)已知第一个正方体水箱的棱长是60cm60cm，第二个正方体水箱的体积比第一个水箱的体积的33…
  20. 20挖一个长40米，宽25米，深2米的游泳池． （1）要挖出多少立方米的土？ （2）沿着游泳池的周围走一圈，至少要走多少米？ （3）如果在游泳池的四壁和底面贴边长2分米的正方形瓷砖，需要多少块？
  21. 21Roy 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…
  22. 229090立方分米50005000立方米==___立方米； 3.013.01立方米==___立方厘米．
  23. 23The scale of a map is 8 cm : 2 km. Write this scale in the form 1 : n. Answer 1 : ... The actual area of a lake is 90 00…
  24. 24A 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…
  25. 25The Ideal Gas Law PV=8.3145 nTPV = 8.3145\,nT relates pressure P (measured in Pascal), volume V (measured in metres^3), the number…
  26. 26The diagram shows a solid ornament in the shape of a cylinder with an upright cone cut out at one end and a hemisphere a…
  27. 27A microprocessor is in the shape of a cube where the sides are 5 mm in length. Find the maximum number of microprocessor…
  28. 28The scale of a map is 1 : n. A school garden measuring 8 cm^2 on a map has an actual area of 2048 m^2. Find n. Answer n…
  29. 29A manufacturing company produces electronic components for various devices. They are analyzing the production data for t…
  30. 3023 Jefferson and Victor were sent by their company to work in Washington D.C. and Beijing respectively. Jefferson rented…
  31. 31（1）一张桌面的面积是36平方分米． ． （2）24平方米=240平方分米 ． （3）35乘132与65的差，积是多少？列成算式：35×132-65 ．
  32. 32The thickness of a layer of ice in a water body is 0.00205 m0.00205\ \text{m}. Write 0.002050.00205 in standard form. Answer ... The…
  33. 33Julian owns a fruit stall selling fruit juice. The tables below give information related to Julian's stall. (a) Calculat…
  34. 34Roy 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 mo…
  35. 35A piece of A0-sized paper has a total surface area of 1 m^2. The length and breadth of the A0-sized paper are x m and y…
  36. 36A rectangular fish tank has length 100 cm, width 30 cm and height 40 cm. It is filled with water to 90% of its capacity.…
  37. 37Here is some information about a grain storage bin. Grain Storage Bin | Item | Value | |---|---| | Height (h) | 6880 mm…