一个长方形的长比宽多 3 厘米，周长是 26 厘米，长和宽各多少？
A rectangle's length exceeds its width by 3 cm, and its perimeter is 26 cm; find length and width.
设宽为 x，则长为 x+3；周长 2(x + x+3) = 26，解得 x = 5。所以宽是 5 厘米、长是 8 厘米。
Let the width be x, so the length is x+3; perimeter 2(x + x+3) = 26 gives x = 5. Thus the width is 5 cm and the length is 8 cm.
难度 进阶 · 适合 大众
CC BY 4.0 · 已核验 · Verified 2026-11-03
来源 · Source
Beckmann, S., 《中小学数学教师数学》(第4版), Pearson
Beckmann, S., 'Mathematics for Elementary Teachers' (4th ed.), Pearson
独立核验依据 · Independent verification: 核验依据 1 OPENLIBRARY 标识 /works/OL18708410W：Mathematics for elemen
#周长 #方程 #几何应用
一件衣服原价 200 元，打八折后多少钱？
A shirt costs 200 yuan originally; what is the price after a 20% discount?
打八折表示按原价的 80% 出售，即 200 × 0.8 = 160 元。所以折后价格是 160 元。
A 20% discount means selling at 80% of the original price, that is, 200 × 0.8 = 160 yuan. The discounted price is therefore 160 yuan.
难度 进阶 · 适合 大众
CC BY 4.0 · 已核验 · Verified 2026-11-03
来源 · Source
Beckmann, S., 《中小学数学教师数学》(第4版), Pearson
Beckmann, S., 'Mathematics for Elementary Teachers' (4th ed.), Pearson
独立核验依据 · Independent verification: 核验依据 1 OPENLIBRARY 标识 /works/OL18708410W：Mathematics for elemen
#折扣 #百分数 #应用
鸡兔同笼：共有 35 个头、94 只脚，鸡兔各几只？
Chicken-and-rabbit problem: 35 heads and 94 legs in total; how many of each?
设鸡 x 只、兔 y 只，则 x + y = 35，2x + 4y = 94。解得鸡 23 只、兔 12 只。这类问题训练用方程建模现实情境。
Let x be chickens and y rabbits: x + y = 35 and 2x + 4y = 94. Solving gives 23 chickens and 12 rabbits. Such problems train modeling real situations with equations.
难度 进阶 · 适合 大众
CC BY 4.0 · 来源待核验 · Source pending review
来源 · Source
出处备注：本题原挂出处与答案内容不符，已撤回；具体书目待补，暂不展示来源。
本题原挂出处与答案内容不符，已撤回；具体书目待补。
Previous citation withdrawn as unsupported for this answer; a specific source is pending.
#鸡兔同笼 #方程 #应用
甲单独做一项工程要 10 天，乙单独做要 15 天，两人合作几天完成？
A can finish a job alone in 10 days, B in 15 days; how many days if they work together?
甲每天完成 1/10，乙每天完成 1/15，合作每天完成 1/10 + 1/15 = 1/6。所以两人合作需要 6 天完成。
A completes 1/10 per day and B completes 1/15 per day, so together they finish 1/10 + 1/15 = 1/6 per day. Working together they need 6 days to finish.
难度 进阶 · 适合 大众
CC BY 4.0 · 已核验 · Verified 2026-11-03
来源 · Source
Beckmann, S., 《中小学数学教师数学》(第4版), Pearson
Beckmann, S., 'Mathematics for Elementary Teachers' (4th ed.), Pearson
独立核验依据 · Independent verification: 核验依据 1 OPENLIBRARY 标识 /works/OL18708410W：Mathematics for elemen
#工程问题 #效率 #合作
一个水池有进水管和出水管，单开进水管 6 小时注满，单开出水管 8 小时放空，同时开两管几小时注满？
A pool fills in 6 hours through the inlet alone and empties in 8 hours through the outlet alone; if both are open, how long to fill?
进水效率为 1/6，出水效率为 1/8，同时开净效率为 1/6 − 1/8 = 1/24。因此同时开两管需要 24 小时注满。
The inlet rate is 1/6 and the outlet rate is 1/8, so the net rate with both open is 1/6 − 1/8 = 1/24. Thus it takes 24 hours to fill the pool with both pipes open.
难度 进阶 · 适合 大众
CC BY 4.0 · 已核验 · Verified 2026-11-03
来源 · Source
Beckmann, S., 《中小学数学教师数学》(第4版), Pearson
Beckmann, S., 'Mathematics for Elementary Teachers' (4th ed.), Pearson
独立核验依据 · Independent verification: 核验依据 1 OPENLIBRARY 标识 /works/OL18708410W：Mathematics for elemen
#水池问题 #效率 #应用
存款 1000 元，年利率 5%，一年后本息共多少（单利）？
Deposit 1000 yuan at 5% annual interest; what is the total after one year (simple interest)?
单利利息 = 本金 × 利率 × 时间 = 1000 × 0.05 × 1 = 50 元。一年后本息合计 1000 + 50 = 1050 元。
Simple interest = principal × rate × time = 1000 × 0.05 × 1 = 50 yuan. After one year the total is 1000 + 50 = 1050 yuan.
难度 进阶 · 适合 大众
CC BY 4.0 · 来源待核验 · Source pending review
来源 · Source
出处备注：本题原挂出处与答案内容不符，已撤回；具体书目待补，暂不展示来源。
本题原挂出处与答案内容不符，已撤回；具体书目待补。
Previous citation withdrawn as unsupported for this answer; a specific source is pending.
#利息 #百分数 #金融
买 3 支笔花 15 元，每支笔多少钱？
Buying 3 pens costs 15 yuan; what is the price per pen?
总价除以数量得到单价：15 ÷ 3 = 5 元。所以每支笔 5 元。
Dividing the total cost by the quantity gives the unit price: 15 ÷ 3 = 5 yuan. So each pen costs 5 yuan.
难度 入门 · 适合 大众
CC BY 4.0 · 已核验 · Verified 2026-11-03
来源 · Source
Beckmann, S., 《中小学数学教师数学》(第4版), Pearson
Beckmann, S., 'Mathematics for Elementary Teachers' (4th ed.), Pearson
独立核验依据 · Independent verification: 核验依据 1 OPENLIBRARY 标识 /works/OL18708410W：Mathematics for elemen
#单价 #除法 #应用
在一条 100 米的小路一边植树，每隔 10 米种一棵，共种几棵？
Along a 100-meter path, planting a tree every 10 meters on one side, how many trees in total?
100 米被分成 10 段，由于两端都要种树，所以棵数 = 段数 + 1 = 11 棵。这是典型的“植树问题”，要注意端点是否计入。
The 100 meters is divided into 10 segments, and since trees are planted at both ends, the count is segments + 1 = 11 trees. This is a classic planting problem where you must consider whether endpoints are included.
难度 入门 · 适合 大众
CC BY 4.0 · 已核验 · Verified 2026-11-03
来源 · Source
Beckmann, S., 《中小学数学教师数学》(第4版), Pearson
Beckmann, S., 'Mathematics for Elementary Teachers' (4th ed.), Pearson
独立核验依据 · Independent verification: 核验依据 1 OPENLIBRARY 标识 /works/OL18708410W：Mathematics for elemen
#植树问题 #间隔 #应用
一箱苹果 24 个，平均分给 6 个小朋友，每人几个？
A box has 24 apples shared equally among 6 children; how many per child?
把 24 平均分成 6 份，用除法：24 ÷ 6 = 4。所以每个小朋友得到 4 个苹果。
Dividing 24 into 6 equal parts uses division: 24 ÷ 6 = 4. So each child gets 4 apples.
难度 入门 · 适合 大众
CC BY 4.0 · 已核验 · Verified 2026-11-03
来源 · Source
Beckmann, S., 《中小学数学教师数学》(第4版), Pearson
Beckmann, S., 'Mathematics for Elementary Teachers' (4th ed.), Pearson
独立核验依据 · Independent verification: 核验依据 1 OPENLIBRARY 标识 /works/OL18708410W：Mathematics for elemen
#除法 #平均分 #应用
小明每分钟走 60 米，走 5 分钟能走多远？
Xiao Ming walks 60 meters per minute; how far can he go in 5 minutes?
距离等于速度乘以时间，即 60 × 5 = 300 米。所以小明 5 分钟能走 300 米。
Distance equals speed multiplied by time, so 60 × 5 = 300 meters. Xiao Ming can walk 300 meters in 5 minutes.
难度 入门 · 适合 大众
CC BY 4.0 · 来源待核验 · Source pending review
来源 · Source
出处备注：本题原挂出处与答案内容不符，已撤回；具体书目待补，暂不展示来源。
本题原挂出处与答案内容不符，已撤回；具体书目待补。
Previous citation withdrawn as unsupported for this answer; a specific source is pending.
#行程问题 #速度 #乘法
四块饼干分给两个小朋友,怎么分才公平?
How do we share four cookies fairly between two friends?
一人两块!分东西的秘密是「一样多」:先每人发一块,再把剩下的两块一人一块。如果剩单数块怎么办?可以掰成两半呀。学会平均分,你就是小小公平使者。
Two cookies each! The secret of fair shares is same-for-everyone: hand out one each, then one more each. Odd number left? Break one in half. Master equal sharing and become a little fairness ambassador.
难度 入门 · 适合 幼儿(3-6)
CC BY 4.0 · 已核验 · Verified 2026-11-02
来源 · Source
《数学花园漫游记》,马希文,中国少年儿童出版社,2004
Ma Xiwen, Adventures in the Math Garden, China Children Press, 2004
独立核验依据 · Independent verification: 核验依据 1 ISBN 9787500767558（豆瓣书目条目: 数学花园漫游记）
#平分 #饼干 #公平