Math topic中文

Mixed operations with integers

Understand the four operations and perform mixed integer operations.

Practice questions

  1. 1The figure below is made up of 2 squares, ABCD and DEFG. X is a point on GD and Y is a point on DE. BC = 7 cm, FE = 6 cm…
  2. 2Find the value of 10imes(24+36ext÷ext6)10 imes (24 + 36 ext{ } \div ext{ } 6). Ans: ___
  3. 3In 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…
  4. 4A can of mushroom soup costs $3.20 and a bundle of 3 cans of mushroom soup costs $8. Diane wants to buy 20 cans of mus…
  5. 5A group of singers are arranged in 5 rows. There are 7 singers in the second row. Each row has nn more singers than the…
  6. 6旅行社推出“盘山风景区一日游”两种价格方案． 方案一：成人每位120元，儿童每位40元． 方案二：团体10人以上（含10人），每位80元． （1）一个旅游团有3位成人和7位儿童，怎样购票合算？ （2）如果有7位成人和3位儿童，怎样购票合算？
  7. 7The figure below shows 12 identical squares. What is the least number of such squares that must be added to the figure s…
  8. 8| Carton | Number of toys | Percentage of toys which are defective | | :--- | :---: | :---: | | A | 200 | 3% | | B | 300…
  9. 9数学考试甲、乙两名同学的平均分是88分，甲、丙两名同学的平均分是90，乙、丙两名同学的平均分是92，他们三人的平均分是多少分？
  10. 10There were a total of 2120 students at the school parade square at first. After 536 boys and 14\frac{1}{4} of the girls…
  11. 11After traveling for 2 hours and 15 minutes, a train arrived in Kuala Lumpur from Singapore at 6.15 p.m. At what time did…
  12. 12刘华参加演讲比赛，77个评委的打分分别是：9191分、8888分、8484分、8989分、9292分、9898分、8585分。如果去掉一个最高分和一个最低分，刘华的平均得分是多少分？
  13. 1375乘25与38的和，积是多少？正确列式是：75×25＋38． （___）
  14. 14Find the value of 68−12÷2+1168 - 12 \div 2 + 11. Answer : ___
  15. 15Lindy used 25\frac{2}{5} m of ribbon to make bow. She made a total of 25 bows. How many centimetres of ribbon did she us…
  16. 16The table shows the parking charges for a motorist in a shopping centre. | | 7 am to 6 pm | After 6 pm | | :--- | :---:…
  17. 17Mr Lim packed 284 eggs on large trays and small trays to sell. He filled each large tray with 8 eggs and each small tray…
  18. 18Omar spent $162 more than 1/7 of his monthly salary on transport. He spent $40 less than 1/6 of his remaining salary o…
  19. 19The pie chart represents the number of the different flavours of cakes in a bakery. What is the total number of blueberr…
  20. 20Find the value of 85+4×(15−6÷3)85 + 4 \times (15 - 6 \div 3). Answer: ___
  21. 21The figure below is formed by five identical equilateral triangles. The total perimeter of the five triangles is 135 cm.…
  22. 22妈妈用平底锅煎饼，每次最多煎两张，两面都要煎，每面需要 3 分钟，煎 5 张饼最快需要 （ ___ ） 分钟，煎 7 张饼最快需要 （ ___ ） 分钟。
  23. 23Derinda had 25 m of ribbon. She used it to make as many flowers as possible. She used 23\frac{2}{3} m of ribbon to make…
  24. 24For Questions 6 to 17, show your working clearly in the space provided for each question and write your answers in the s…
  25. 25The pie chart shows how Michael spent his money. How much money did Michael spend on the book? Answer : (a) ‾\underline{\qquad\qquad\qquad}…
  26. 26Denise answered 20 questions in a survey. She took 3 min for each of the first 10 questions and twice as long for each o…
  27. 27Last month, Rachel saved $90 and spent the rest of her pocket money. If she increased her spendings by 40%, her savings…
  28. 28The first 15 numbers of a number pattern are given below. 9,0,8,6,9,0,8,6,9,0,8,6,9,0,8,…9, 0, 8, 6, 9, 0, 8, 6, 9, 0, 8, 6, 9, 0, 8, \dots What is…
  29. 29某公园门票的销售方案有两种： (1)成人每人4040元，学生每人2020元； (2)团体(30(30人或3030人以上))每人3030元．现有2828位老师带领202202名学生去该公园游玩，怎样买票最省钱？
  30. 30我校“阳光体育运动”已经正式启动，学校准备为同学们购买跳绳120根，若每条跳绳x元． （1）学校拿去1000元，应找回多少元？（用含有字母的式子表示出来） （2）若x＝7，计算一下应找回多少元？
  31. 31The solid below is made up of 1 cm cubes. How many more 1-cm cubes must be added to the solid to make it a cuboid measur…
  32. 32Tank A and Tank B shown below are empty at first. Tank A has a base area of 441 cm^2. When water was poured into Tank A,…
  33. 33一个数除以 8 ，商是 109 ，余数是 7 ，这个数是（ ）。 A. 879 B. 897 C. 789
  34. 34The 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…
  35. 35A rectangular piece of paper was folded to form the figure as shown as below. Find the perimeter of the rectangular piec…
  36. 36Shamil paid $22xx for 1 table and 3 chairs. The price of 1 chair was 25\frac{2}{5} of the price of the table. How much…
  37. 37The following pie chart shows the number of tickets sold on a certain day. The total number of tickets sold on that day…
  38. 38A bag of sweets was shared equally among a group of 36 students. 12 of them gave up all of their sweets to the rest of t…
  39. 39Matt bought some Dino Brand and Lion Brand correction tapes at the prices shown below. 13\frac{1}{3} of the correction t…
  40. 40The average mass of Bags W and X is 25 kg. The average mass of Bag X and Bag Y is 30 kg. The average mass of Bag Y and B…
  41. 41Which of the following is a common multiple of 6 and 8?
  42. 42Two squares of different sizes are drawn as shown below. An unshaded square is formed where the 2 squares overlap each o…
  43. 43小明在计算60÷（4+2）时，把算式抄成60÷4+2，这样两题的计算结果会（ ） A. 变大 B. 变小 C. 不变
  44. 44化简求值： (1)0.064−13−(18)0+1634+0.2512(2)12lg⁡25+lg⁡2+(13)log⁡32−log⁡29×log⁡32.(1)0.{064}^{- \frac{1}{3}}-( \dfrac{1}{8}{)}^{0}+{16}^{ \frac{3}{4}}+0.{25}^{ \frac{1}{2}} (2)\dfrac{1}{2} \lg 25+\lg 2+( \dfrac{1}{3}{)}^{{\log }_{3}2} -\log _{2}9×\log _{3}2.…
  45. 45Six identical rectangular boxes can be stored in a cupboard 1.5 m high. Two arrangements are shown below. The arrangemen…
  46. 46Which of the following are common factors of 36 and 54?
  47. 47What is the sum of all the factors of 9?
  48. 48甲数比乙数的8倍还多7，乙数是最大的一位数，甲数是（ ） A. 15 B. 79 C. 45 D. 72
  49. 49Fatimah had some two-dollar and five-dollar notes in her money box. She had 3 fewer two-dollar notes than five-dollar no…
  50. 50脱式计算． 108×3×3 120×4÷6 480÷2÷5 792÷（3×3）
  51. 51脱式计算，能简算的要简算。 5.6＋2.59＋4.4＋7.41 6.28－1.99 48×102 72×4×125 1375＋625÷25×40 640÷[（3.7＋4.3）×8]
  52. 52若x=3x=3，则代数式2x+32x+3的值是___.
  53. 53A company used two machines A and B with different printing rates to print stickers. The graphs below show the total num…
  54. 54师生共32人去公园划船，大船租金30元，限乘6人，小船租金24元，限乘4人，下列（ ）方案最省钱． A. 6条大船 B. 5条大船，1条小船 C. 4条大船，2条小船
  55. 55The first common multiple of 6 and 9 is ___.
  56. 56The table below shows the favourite subject of the students in Primary 6C. It is used to draw the pie chart shown. Mathe…
  57. 57The sum of 6 numbers is 70. The average of 4 of the numbers is 12. What is the sum of the remaining numbers?
  58. 58Mr Mohammad took a taxi from home to his office. His taxi fare was based on the charges shown below. | First 1 kilometre…
  59. 59The usual price of a study table was $300. During a sale, Mrs Kumar bought 2 such study tables at a discount of 60%. Ho…
  60. 60En En packed all 732 cookies into a mixture of large and small boxes. He filled each large box with 30 cookies and each…