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在竖式计算 63×4 中，十位上的 6×4=( )，再加上个位进上来的( )，结果是( )In column multiplication of 63×4, 6×4 in the tens place is ( ), plus the ( ) carried over from the ones place, equals ( )

计算 20 - 3 × 5 的结果是多少？What is the result of 20 - 3 × 5?

老师有50颗珠子，如果每条项链穿7颗珠子，这些珠子够穿几条项链？The teacher has 50 beads. If each necklace uses 7 beads, how many necklaces can be made with these beads?

小美有 2 件上衣（白上衣和蓝上衣）和 3 条裙子（红裙、黄裙和绿裙）。每次穿 1 件上衣、配 1 条裙子，一共有多少种不同的穿法？May has 2 tops (a white one and a blue one) and 3 skirts (a red one, a yellow one, and a green one). Each outfit is 1 top with 1 skirt. How many different outfits can she make in all?

一个圆形花坛的周长是 12 米，每隔 3 米放一盆花。一共需要准备多少盆花？A circular flower bed has a perimeter of 12 meters. A flower pot is placed every 3 meters. How many flower pots are needed?

甲、乙、丙三个数，乙比丙大5，甲比乙大2，三个数的和是30。丙是多少？May, Joe, and Sam each pick a number. Joe's number is 5 greater than Sam's, and May's number is 2 greater than Joe's. The sum of the three numbers is 30. What is Sam's number?

在□里填上合适的数：□ ÷ 7 = 1Fill in the blank: □ ÷ 7 = 1

用竖式计算 32×13 时，第一层算的是 32×3 = 96；第二层写的是『32』，但要向左错一位。结合乘法分配律想一想：第二层实际表示的数是多少？When using the column method to work out 32 × 13, the first layer is 32 × 3 = 96. The second layer is written as “32”, but it is shifted one place to the left. Think about the distributive law: what number does this second layer actually represent?

一个盒子里有红、蓝、黄三种颜色的珠子，共 72 颗。蓝珠的颗数是红珠的 2 倍，黄珠的颗数是蓝珠的 3 倍。蓝珠有多少颗？（可以先画线段图帮助思考）A box holds red, blue, and yellow beads, 72 beads in all. The number of blue beads is 2 times the number of red beads, and the number of yellow beads is 3 times the number of blue beads. How many blue beads are there?

用数字 0、2、4、6，可以组成多少个没有重复数字的两位数？Using the digits 0, 2, 4, and 6, how many two-digit numbers without repeated digits can be formed?

抽屉里有 5 只红袜子和 5 只蓝袜子，除颜色外完全相同。闭上眼睛取袜子，至少要取出多少只，才能保证其中一定有一双颜色相同的袜子？A drawer contains 5 red socks and 5 blue socks, identical except for color. If you take socks with your eyes closed, what is the smallest number you must take to be sure that two of them are the same color?

甲、乙、丙三人每人喝一种饮料（牛奶、果汁、水），吃一种点心（面包、饼干、蛋糕），饮料互不相同，点心也互不相同。线索：(1) 喝牛奶的人吃蛋糕；(2) 甲不吃蛋糕，也不喝果汁；(3) 乙喝果汁；(4) 乙不吃面包。那么甲的饮料和点心分别是什么？Jia, Yi, and Bing each have one drink (milk, juice, or water) and one snack (bread, biscuit, or cake). No two of them have the same drink, and no two have the same snack. Clues: (1) The one who drinks milk eats cake. (2) Jia does not eat cake and does not drink juice. (3) Yi drinks juice. (4) Yi does not eat bread. What are Jia's drink and snack?

将分数 12/18 约分到最简形式，结果是？Simplify the fraction 12/18 to its simplest form.

A、B 两城相距 360 千米。甲、乙两车同时从两城出发，相向而行，3 小时后两车相遇。已知甲车每小时行 65 千米，乙车每小时行多少千米？City A and City B are 360 km apart. Two cars start from the two cities at the same time and drive toward each other, and they meet after 3 hours. The car from City A travels 65 km per hour. How many kilometers does the car from City B travel each hour?

教练把一批篮球分给若干个小组：如果每组 3 个，还缺 8 个；如果每组 4 个，还缺 23 个。这批篮球一共有多少个？A coach distributes a batch of basketballs among several teams. If each team gets 3 basketballs, 8 more are needed; if each team gets 4 basketballs, 23 more are needed. How many basketballs are there in the batch?

王老师给一组学生发练习本：如果每人发 7 本，会多出 12 本；如果每人发 9 本，还多出 2 本。这组学生一共有多少人？Mr. Wang hands out notebooks to a group of students. If each student gets 7 notebooks, 12 notebooks are left over. If each student gets 9 notebooks, 2 notebooks are still left over. How many students are in the group?

哥哥从家出发步行去学校，每分钟走 75 米。过了一段时间，弟弟骑车从家出发去追哥哥，每分钟行 225 米。弟弟出发 8 分钟后恰好追上哥哥。哥哥比弟弟早出发多少分钟？An older brother leaves home and walks to school at 75 meters per minute. Some time later, his younger brother rides out from home by bicycle at 225 meters per minute to catch up. The younger brother catches up exactly 8 minutes after he starts. How many minutes earlier did the older brother leave home?

已知 a、b、c 都是整数，且 a+b、b+c、c+a 都是偶数。那么 a、b、c 三个数（ ）。a, b, and c are integers such that a+b, b+c, and c+a are all even. Which of the following must be true about a, b, and c?

六年级有学生120人，其中男生占3/5。女生有多少人？There are 120 students in Grade 6, and boys account for 3/5 of them. How many girls are there?

解方程：3(x + 4) = 27，x 是多少？Solve the equation: 3(x + 4) = 27. What is the value of x?

数学竞赛共有20道题，每答对一题得3分，每答错一题扣1分，所有题都作了答。小华最终得40分。用假设法：假设20题全对，应得60分，比实际多20分。他答对了几道题？A math contest has 20 questions in all. Each correct answer earns 3 points, and each wrong answer loses 1 point; every question was answered. Hua scored 40 points in the end. Using the assumption method: assume all 20 answers were correct, which would give 60 points, 20 more than the actual score. How many questions did Hua answer correctly?

一根木条，先把长度增加 25%，再把增加后的新长度减少 20%。现在的长度与原来的长度相比，结果是怎样的？A wooden strip is first made 25% longer, and then its new length is decreased by 20%. How does the final length compare with the original length?

一个扇形的弧长恰好是它所在圆周长的 7/12。这个扇形的圆心角是多少度？The arc length of a sector is exactly 7/12 of the circumference of its circle. What is the measure of the sector's central angle, in degrees?

一个容器下面是圆锥、上面是圆柱，两部分底面相同：圆锥高 3 厘米，圆柱高 12 厘米。容器正放（圆锥尖朝下）时，里面的水深 11 厘米。把容器倒置（圆锥尖朝上）放，水没有溢出，这时水深多少厘米？A container consists of a cone at the bottom and a cylinder on top, sharing the same base size. The cone is 3 cm tall and the cylinder is 12 cm tall. When the container stands point-down, the water inside is 11 cm deep. The container is then turned upside down so the point faces up, and no water spills. What is the depth of the water now?

将小数 0.85 化为最简分数。Convert the decimal 0.85 to a fraction in simplest form.

某工程队修一条公路，原计划每天修 30 米，48 天正好修完。实际每天修 40 米，实际多少天可以修完？A construction crew builds a road. The plan was to build 30 meters per day and finish in exactly 48 days. In fact, they built 40 meters per day. How many days did the work actually take?

小杰读一本故事书，第一天读了全书的 1/2，第二天读了余下的 1/3，第三天又读了这时余下的 3/4，最后还剩 20 页没读。第三天读了多少页？Jay is reading a storybook. On the first day he reads 1/2 of the whole book. On the second day he reads 1/3 of the pages left. On the third day he reads 3/4 of the pages still left. After the three days, 20 pages remain unread. How many pages did he read on the third day?

已知关于 x 的方程 (x + m)/6 + x/3 = x/2 + 1/3。如果任何数都是这个方程的解（无论 x 取何值等式都成立），那么 m = ___Consider the equation in x: (x + m)/6 + x/3 = x/2 + 1/3. If every number is a solution of this equation (it holds no matter what value x takes), then m = ___

甲、乙两人共有 60 张卡片。甲送给乙 6 张后，甲的卡片数恰好是乙的 2 倍。甲原来有多少张卡片？A and B have 60 cards altogether. After A gives 6 cards to B, A has exactly twice as many cards as B. How many cards did A have at first?

甲队与乙队的人数之比为 5 : 7。后来两队各招收了相同数量的新队员，且每队招收的新队员都超过 10 人，此时两队人数之比变为 4 : 5。两队现在的人数之和最少是多少？The numbers of members in Team A and Team B are in the ratio 5 : 7. Later, each team recruits the same number of new members, and each team recruits more than 10 new members. The ratio of the two numbers then becomes 4 : 5. What is the least possible total number of members in the two teams now?