🎯 能力诊断测试

乐乐把一张纸对折 1 次，叠好后用打孔器打 1 个孔（孔穿过所有的层）。把纸完全展开后，纸上一共有多少个孔？Lele folds a piece of paper once, then uses a hole punch to make 1 hole through all the layers. After the paper is completely unfolded, how many holes are there in total?

两辆玩具车的价格总和是 72 元，红色的车比蓝色的车贵 8 元。那辆蓝色的玩具车价格是 ______ 元。The total price of two toy cars is 72 yuan. The red car is 8 yuan more expensive than the blue car. The price of the blue toy car is ______ yuan.

如果 $AB + AB = 98$（$AB$ 是一个两位数），那么 $A + B$ 的和是多少？If $AB + AB = 98$ (where $AB$ is a two-digit number), what is the sum of $A + B$?

小丽参加了三次测验，平均分是94分。第一次测验她得了90分，第二次得了92分，第三次她得了多少分？Mei took three tests, and her average score was 94. She got 90 on the first test and 92 on the second test. How many points did she get on the third test?

一块长方形菜地长 28 米、宽 6 米，被分成两块：左边一块长 20 米，右边一块长 8 米，两块的宽都是 6 米。用乘法分配律算总面积：6×28 = 6×20 + 6×8 = ______（平方米）。A rectangular garden is 28 meters long and 6 meters wide. It is split into two parts: the left part is 20 meters long and the right part is 8 meters long, and both parts are 6 meters wide. Use the distributive law to find the total area: 6 × 28 = 6 × 20 + 6 × 8 = ______ square meters.

甲、乙、丙三个数的和是 96。乙是甲的 2 倍，丙比乙多 6。甲是多少？The numbers A, B, and C add up to 96. B is twice A, and C is 6 more than B. What is A?

一根绳子原来长 x 米。剪去 28 米后，还剩 55 米。这根绳子原来长 ____ 米。A rope was originally x meters long. After 28 meters were cut off, 55 meters were left. The rope was originally ____ meters long.

今天是星期五。从明天开始数，把明天看作第1天，那么第100天是星期几？Today is Friday. Starting from tomorrow — that is, tomorrow counts as day 1 — what day of the week is day 100?

在数字之和等于 14 的所有两位数中，最大的数与最小的数相差多少？Among all two-digit numbers whose digits add up to 14, what is the difference between the largest one and the smallest one?

盒子里有 36 颗糖。乐乐先吃掉全部糖果的 1/3，接着又吃掉剩下糖果的 1/4。盒子里最后还剩多少颗糖？A box contains 36 candies. Lele first eats 1/3 of all the candies, and then eats 1/4 of the candies that are left. How many candies are left in the box at the end?

一盒巧克力，小美第一天吃掉总数的 1/4，第二天吃掉剩下的 2/5，这时还剩 18 块。这盒巧克力原来有多少块？（注意易错点：第二天吃的是「剩下的 2/5」，不是总数的 2/5。）Mimi has a box of chocolates. On the first day she eats 1/4 of all the chocolates in the box. On the second day she eats 2/5 of the remainder, and 18 chocolates are left. How many chocolates were in the box at first? (Watch out: it is 2/5 of the remainder, not 2/5 of the whole box.)

小丽和小杰的卡片张数之比为 5:3。小丽送给小杰 16 张后，两人的卡片张数之比变为 3:5。两人一共有多少张卡片？The numbers of cards Lily and Jack have are in the ratio 5 : 3. After Lily gives Jack 16 cards, the ratio of Lily's cards to Jack's cards becomes 3 : 5. How many cards do the two children have altogether?

一个水箱装满了水。第一小时放出全部水的 1/3，第二小时放出余下水的 1/2。这时水箱里剩下的水占原来总量的几分之几？A tank is full of water. In the first hour, 1/3 of all the water drains out. In the second hour, 1/2 of the water that is left drains out. What fraction of the original amount of water is left in the tank now?

某燃气公司按用气量阶梯收费：用气 300 立方米及以内，每立方米 2 元；超过 300 立方米的部分，每立方米 3 元。某户共缴纳燃气费 750 元，这户人家一共用了多少立方米的燃气？A gas company uses tiered pricing: usage up to 300 m³ (inclusive) costs $2 per m³, and the part above 300 m³ costs $3 per m³. A household pays a total of $750 for gas. How many cubic meters of gas did the household use?

在 1 到 200（含两端）的整数中，因数个数是奇数的数共有多少个？How many of the integers from 1 to 200 (inclusive) have an odd number of factors?