Math topic中文

Average rate speed

average rate and average speed

Practice questions

  1. 1Mrs Ang runs a small tuition centre for secondary school students. The tables provide information on the cost of running…
  2. 2The diagram (not drawn to scale) shows the speed-time graph of a vehicle. The vehicle starts from rest and accelerates u…
  3. 3Hamid borrowed a sum of money for 3 years at an interest rate of 3.5% per annum simple interest to pay for his car. If t…
  4. 4The diagram shows the positions of a harbour, H, a lighthouse, L, and two buoys P and Q. HPQ is a straight line. The bea…
  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. 6The diagrams show the speed-time graph and the corresponding distance-time graph of a car. The car travelled from a poin…
  7. 7Mr Johnson has a plot of field that grows dandelion plants. An average of 70 dandelion plants grow on each square metre.…
  8. 8The volume of an Olympic size swimming pool is 660 000 gallons. 1 gallon is approximately 3790 cm^3. Convert 660 000 gal…
  9. 9The diagram below shows the speed-time graph of a car's journey. For this journey, calculate the acceleration during the…
  10. 10The diagram shows the speed-time graph of two cars, A and B. Car A, starting from rest, accelerates uniformly for 2 seco…
  11. 11The diagram shows the speed-time graph of an object over a period of 40 seconds. Calculate the deceleration of the objec…
  12. 12A factory prints posters for corporate events. The prices of printing posters of different sizes are listed below. The f…
  13. 13Electricity tariffs are regulated by the Energy Market Authority (EMA) of Singapore and revised quarterly to reflect the…
  14. 14Town 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…
  15. 15Mr 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…
  16. 16Sam's daily morning routine involves getting breakfast before going to work. He travels by car. On a particular day, Sam…
  17. 174 technicians plan to repair 416 computers in 16 days. However, after repairing for 10 days, one of the technicians fell…
  18. 18Airport 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…
  19. 19Gino can paint 6 fence panels in 4 hours, while Danish can paint 7 fence panels in 5 hours. Gino and Danish work togethe…
  20. 20Alan drove a distance of xx km and his car used 7.5 litres of fuel. Write down an expression, in terms of xx, for the…
  21. 21The table below shows the price board displayed at a petrol station on 12 April 2023. Pump price refers to the price bef…
  22. 22John 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…
  23. 23The diagram shows the speed-time graph of a motorcyclist. The shaded area represents the distance travelled. The distanc…
  24. 24A 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…
  25. 25The diagram shows the speed-time graph of a cyclist from Town A to Town B. The total distance travelled by the cyclist i…
  26. 26On the map, 3 MRT stations, Braddell (NS18), Caldecott (CC17) and Toa Payoh (NS19) are joined to form a triangle. constr…
  27. 27Peter is shopping for an air conditioner. Peter writes down the duration he would use the air conditioner in the followi…
  28. 28An aircraft waiting to land is flying around a triangular circuit ABC. A, B and C are vertically above three beacons, X,…
  29. 29The number of bacteria in a colony doubles every hour. The colony starts with: 50 bacteria. The table below shows the nu…
  30. 30P, 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…
  31. 31The figure shows two rods PA and PB which are hinged at P. The rods slide such that P, A and B are on the same vertical…
  32. 32The seating capacity of an auditorium is 300. The seats are categorised as 1, 2, 3 and 4. The costs of the tickets in th…
  33. 33The diagram below shows the speed-time graph of a car which starts from rest. Calculate the speed of the car after 9 sec…
  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 m…
  35. 35The orders from three shops in July 2021 were as follows: Tasty shop ordered 100 of type A, 50 of type B and 25 of type…
  36. 36Nurul took 2.5 hours to travel at a constant speed from Town A to B. On her journey back, she increased her constant spe…
  37. 37The diagram shows the speed-time graph of a particle. Find the speed of the particle when t=12t = 12 s. Answer ...m/s Find…
  38. 38ABL 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…
  39. 39A photocopier can photocopy at a rate of 30 double-sided papers per minute. Calculate in minutes, the time taken to prin…
  40. 40The speed-time graph shows the journey that Lim makes during a three-hour journey. Find the acceleration at 0815. Answer…
  41. 41Benedict left his house to go to the library. He took the first bus, which travelled 5 km in tt minutes. He then alight…
  42. 42Jim, his wife and their child visited Hokkaido, Japan. The tables below give information that can be used to work out so…
  43. 43Javier and Stella are planning their exercise routines. Javier and Stella have a body mass of 70 kg and 60 kg respective…
  44. 44The cash price of a new motorcycle is $25 120. Jack paid a down payment of 20% of the price of the motorcycle and the b…
  45. 45An event organiser is organising a 3-day Pet Festival for 300 exhibitors. The event organiser charges each exhibitor a r…
  46. 46Estate E and Estate W are 35 km apart. Jason cycles at an average speed of xx km/h from Estate E to Estate W. On his re…
  47. 47Mr Ho would like to replace all 60 units of air conditioners in his office building. He is considering between two brand…
  48. 48On Monday, Dev goes on a 3.6 km run. His average speed for the first 1.2 km is xx km/h. Simplify and write down an expr…
  49. 4912 men will take 54 days to complete a building project. Assuming that the men work at the same rate, how long will it t…
  50. 50The diagram shows the speed-time graph for a cyclist's journey for a period of 90 seconds. The cyclist accelerates at 0.25 m/s20.25\ \mathrm{m/s}^2…
  51. 51The approximate mass of the earth is 5.97×10245.97 \times 10^{24} kg. How many times is the earth heavier than a sumo wrestler…
  52. 52The diagram show the speed-time graph of a car's journey between two road junctions. The shaded area represents the dist…
  53. 53A car travels at an average speed of 74.5 km/h for 2.25 hours. Convert 75 km/h to m/s. Answer ... m/s By rounding the nu…
  54. 54Plane A travels at an average speed of xx km/h for 3 hours 20 minutes and then at an average speed of yy km/h for 1 ho…
  55. 55Chris cycled from A to C in a certain part of a country. He travelled for 50 km from A, at a constant speed of xx km/h…
  56. 56Mr Tan took part in a 42 km marathon run. He used xx minutes to run the first 25 km at a constant speed. Write down an…
  57. 57The speed-time graph of a particle is shown in the diagram above. Find the speed when t = 25, Answer ... m/s the distanc…
  58. 58The diagram shows the speed-time graph for Sriya's 100 metre race during her school's sports day. In the first 5 seconds…
  59. 59Zhao and Mei are planning their exercise routines. They record their body weights and speeds for walking and jogging. In…
  60. 60The 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…