Math topic中文

Ratio and proportion

Understand the meaning of ratio and proportion in real-world contexts and solve simple problems.

Practice questions

  1. 1In a camp, the number of children is 38\frac{3}{8} of the number of adults. 29\frac{2}{9} of the children are boys and t…
  2. 2Mrs Raj baked some muffins. 14\frac{1}{4} of them were blueberry muffins, 25\frac{2}{5} of them were chocolate muffins a…
  3. 3Thomas and Siti had cookies in the ratio 3 : 7. After Thomas bought another 42 cookies and Siti ate 18 cookies of her ow…
  4. 4There were a total of 2120 students at the school parade square at first. After 536 boys and 14\frac{1}{4} of the girls…
  5. 5把20克糖放入200克水中，糖与糖水的质量比是多少？
  6. 6将长为5厘米、宽4厘米的长方形按5：1放大，得到的图形面积是（ ） A. 100平方厘米 B. 200平方厘米 C. 500平方厘米
  7. 7()20=11.9÷17=35\dfrac{(\quad)}{20}=11.9÷17=35：==％％
  8. 8The ratio of the number of girls to boys in Hall A is 7 : 3. The ratio of the number of girls to boys in Hall B is 2 : 7…
  9. 9一幅地图，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 ．
  10. 10Matt bought some Dino Brand and Lion Brand correction tapes at the prices shown below. 13\frac{1}{3} of the correction t…
  11. 11The ratio of Shina's test marks to Kyle's test marks was 3:73 : 7. Shina scored 16 fewer marks than Kyle. How many marks…
  12. 12买5个足球要用190元，买15个这样的足球要用多少钱？（用两种方法解答）
  13. 13The figure below is made up of a rectangle and a square. The ratio of the area of the rectangle to the area of the squar…
  14. 14一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
  15. 156÷6÷=18(ㅤㅤ)==\dfrac{18}{(ㅤㅤ)}=：12=0.75=12=0.75=___％％
  16. 16高22米的旗杆在水平地面上的影长为33米，此时测得附近一个建筑物的影长1212米，则该建筑物的高度为()(\quad) A. 18                          18\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: …
  17. 17The bar graph shows the number of cakes baked by a bakery over four months. The number of cakes baked is not shown on th…
  18. 18In the figure, ABCD is a rectangle made up of four triangles. The ratio of the area of triangle ABF to that of the recta…
  19. 19一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？
  20. 20一所学校男学生与女学生的比是4：5，女学生比男学生人数多 %．
  21. 21Susan had 117 beads and marbles altogether. The beads and marbles were either white or black. 20%20\% of the beads and 50%50\%…
  22. 22六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？
  23. 23Clarence, Amir and Jun Wei received some stickers. The ratio of the number of stickers that Clarence received to the num…
  24. 24若x2−3xy−4y2=0x^{2}-3xy-4y^{2}=0，则xy= \dfrac {x}{y}= ___ ．
  25. 25蔬菜种植基地计划将490490吨蔬菜装车运往武汉，55小时装了350350吨，照这样计算，要将这批蔬菜全部装车一共需要多少小时？((用比例的方法解答))
  26. 26The length, breadth and height of a box are in the ratio 3 : 2 : 1 respectively. The length of the box is 6 cm. Find the…
  27. 27已知甲数与乙数的比是1：3，若甲数是x，则乙数是 ．
  28. 28Mrs Fu spent 37\frac{3}{7} of her money on 30 mangoes and some apples. The ratio of the cost of each mango to the cost o…
  29. 29A box contained some twenty-cent, fifty-cent and one-dollar coins. 24%24\% of the coins are twenty-cent coins. The ratio…
  30. 30In class 6T, when only one girl stands up and the rest of the children are sitting down, the number of boys sitting down…
  31. 31两个正方体的棱长比是3：5，这两个正方体的体积比是( )。 A. 27：125 B. 9：25 C. 3：5 D. 无法计算
  32. 32李叔叔绘制了一张图纸，用2cm2cm表示实际距离1m1m，李叔叔量得图上某两点之间的距离是9cm9cm，实际距离应是()m(\quad)m。 A. 4.54.5 B. 4545 C. 1818 D. 180180
  33. 33已知平行四边形相邻两边的长度之比是3：4，其中较大的边长是8厘米，那么这个平行四边形的周长是 厘米．
  34. 34已知甲：乙=3：5，甲比乙小24，求甲数是多少？
  35. 35甲数除以乙数的商是1.5，甲数和乙数的比是___：___．
  36. 36聪聪从家到学校步行需要1515分钟，如果骑自行车只需要99分钟，步行与骑自行车速度的最简整数比是 ：。
  37. 37已知函数f(x)=x3+ax2+bx−a2−7af(x)=x^{3}+ax^{2}+bx-a^{2}-7a在x=1x=1处取得极大值1010，则ab\dfrac{a}{b}的值为()(\quad) A. −23-\dfrac{2}{3} B. −2-2…
  38. 38一种中性笔买5支需9元，总价和数量的比是 ： ，比值是 ，比值表示 ．
  39. 39A parallelogram ABCD is drawn on a square grid inside a box. By joining dots on the grid with straight lines, draw squar…
  40. 40为了估算湖里有多少条鱼，从湖里捕上100100条做上标记，然后放回湖里，经过一段时间待标记的鱼全混合于鱼群中后，第二次捕得200200条，发现其中带标记的鱼2525条，我们可以估算湖里有鱼 ___ 条.
  41. 41甲种酒精的纯酒精含量为72%，乙种酒精的纯酒精含量为58%，两种酒精各取出一些混合后纯酒精的含量为62%．如果两种酒精所取的数量都比原来多15升，混合后纯酒精的含量就为63.25%．求第一次混合时，甲、乙两种酒精各取了多少升？
  42. 42如果3a=4b（b≠0），那么a：b=（ ） A. 3：4 B. 4：3 C. 4：1 D. 3：1
  43. 43There was an equal number of boys and girls in the class. 12\frac{1}{2} of the girls and 14\frac{1}{4} of the boys wore…
  44. 44At a walkathon, each participant from Group A and B completed either a 2-km route, 5-km route or 10-km route. The pie ch…
  45. 45下列条件中，不能判断ABCABC为直角三角形的是()(\quad) A. a=3a=3， b=4b=4， c=5              c=5\:\:\:\:\:\:\:\:\:\:\:\:\:\: B. ∠A+∠B=∠C∠A+∠B=∠C C. a=1a=1…
  46. 46The ratio of the number of sweets Rachel had to the number of sweets Euodia had was 2 : 3 at first. After Rachel bought…
  47. 47一个零件长66毫米，画在设计图上是33厘米，求这幅图的比例尺．
  48. 48()32=12\dfrac{(\quad)}{32}=12：=0.75==0.75=％=％=___折
  49. 49已知2a=3b2a=3b，则a−bb\dfrac{a-b}{b}的值为()(\quad) A. 12\dfrac{1}{2} B. −12-\dfrac{1}{2} C. 13\dfrac{1}{3} D. −13-\dfrac{1}{3}…
  50. 50比的前项加上33，比的后项也加33，比值不变。 ___((判断对错))
  51. 51一项工程，甲单独做要8天完成，乙单独做要10天完成，甲、乙所用工作时间的比是 ，甲、乙工作效率的比是 。
  52. 52Janice is 57\frac{5}{7} as tall as Xiao Ming. What is the ratio of Xiao Ming's height to Janice's height?
  53. 53A box contained some red and yellow balls. At first, the number of red balls to the number of yellow balls is 1 : 3. Aft…
  54. 54一个长方形的长、宽的比是5：3，且长比宽多8厘米，则它的周长是 厘米．
  55. 555：25=10÷ = ÷50= （小数）
  56. 56为估计鱼塘里有多少条鱼，从鱼塘捕100条做上记号，然后放回鱼塘，当有记号的鱼完全混合于鱼群后，再捕200条，其中带有记号的鱼有20条，估计这个鱼塘里有 条鱼．
  57. 57There were a total of 800 adults and children at a stadium. 70% of them were adults. Some adults left the stadium and th…
  58. 58In the figure below, how many more smiley faces must be added to make the ratio of the number of smiley faces to the tot…
  59. 59The pie chart below shows the amount of pasta sold from Monday to Thursday. The ratio of the amount of pasta sold on Wed…
  60. 60已知点P在线段AB上，且AP：PB=2：5，则AB：PB= ，AP：AB= ．