problem stringlengths 54 1.57k | solution stringlengths 2 171 |
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The original price of a pair of shoes was $$\textbackslash$85$$. Then, it was sold at a discount of $$20\textbackslash\%$$. What was the price of the pair of shoes after the discount?
选项为:A:$$$17$$ B:$$$52$$ C:$$$68$$ D:$$$102$$ 请回答其中一个选项. | $$$68$$ |
Julia has eaten one-quarter of the pizza. What is the ratio of the number of pizza that remain to the number Julia has eaten?
选项为:A:$$1:3$$ B:$$3:1 $$ C:$$1:4 $$ D:$$4:1$$ E:$$4:3$$ 请回答其中一个选项. | $$3:1 $$ |
In a certain quiz show there are the following rules: every participant has $$10$$ points at the beginning and has to answer $$10$$ questions. For each correct answer, the participant earns $$1$$ point, and for each incorrect answer, the participant loses $1$ point. Mrs. Smith had $$14$$ points at the end of this quiz show. How many correct answers did she give? ($$2011$$ Math Kangaroo Problem, Level $$3-4$$, Question \#$$17$$)
选项为:A:$$7$$ B:$$8$$ C:$$9$$ D:$$6$$ E:$$4$$ 请回答其中一个选项. | $$7$$ |
My mom\textquotesingle s birthday is on Sunday, and my dad\textquotesingle s birthday is $$55$$ days after it. On what day of the week will my dad\textquotesingle s birthday be? ($$1999$$ Math Kangaroo Problem, Levels $$3-4$$, Question \#$$9$$)
选项为:A:Sunday B:Monday C:Tuesday D:Thursday E:Saturday 请回答其中一个选项. | Saturday |
Penelope paid＄$$24.58$$ for pens and pencils. If pens cost $$9$$￠ each and pencils cost $$4$$￠ each, at most how many pens did Penelope purchase?
选项为:A:$$273$$ B:$$272$$ C:$$271$$ D:$$270$$ 请回答其中一个选项. | $$270$$ |
The selling price of a sofa set is ＄$$5500$$ and the profit percentage is $$10\textbackslash\%$$ for each set sold. If the cost of the sofa set is not changed, what is the new profit percentage if raising the profit to ＄$$1800$$?
选项为:A:$$24\textbackslash\%$$ B:$$25\textbackslash\%$$ C:$$30\textbackslash\%$$ D:$36\textbackslash\%$ 请回答其中一个选项. | $36\textbackslash\%$ |
A worm is at the bottom of a well with a depth of $$11$$ metres. If it climbs up $$3$$ metres in the day and slips down $$1$$ metre at night, how many days will it take the worm to climb up to the ground?
选项为:A:$$8$$ B:$$7$$ C:$$6$$ D:$$5$$ E:$$4$$ 请回答其中一个选项. | $$5$$ |
Bowen has $$40$$ ounces of a $$25\textbackslash\%$$ sugar solution. After~\uline{~~~~~~~~~~}~of water evaporates, the percent concentration of the solution is $$40\textbackslash\%$$. (Evaporate: the water turns from liquid into vapor and is no longer in the solution anymore.)
选项为:A:$$15$$ ounces B:$$12$$ ounces C:$$9$$ ounces D:$$6$$ ounces 请回答其中一个选项. | $$15$$ ounces |
Patrick gets $80 \textbackslash\%$ on a 10 -problem test, $60 \textbackslash\%$ on a 20 -problem test and $50 \textbackslash\%$ on a 30 -problem test. If the three tests are combined into one 60 problem test, which percent is closest to her overall score? (adapted from 2006 AMC 8, Question \#12)
选项为:A:$$50$$ B:$$52$$ C:$$55$$ D:$$58$$ E:$$60$$ 请回答其中一个选项. | $$58$$ |
Gawel lives on the 2\textsuperscript{nd} floor, and Pawel lives in the same building but has to walk up twice as many stairs as Gawel. There are no stairs to the entrance of the building. On which floor does Pawel live?
选项为:A:on the $2$\textsuperscript{nd} floor B:on the $3$\textsuperscript{rd} floor C:on the $4$\textsuperscript{th} floor D:on the $5$\textsuperscript{th} floor E:on the $6$\textsuperscript{th} floor 请回答其中一个选项. | on the $3$\textsuperscript{rd} floor |
Ben stands in line and has $$76$$ people behind him, If there are a total of $$110$$ people in line, how many people are there in front of Ben?
选项为:A:$$33$$ B:$$34$$ C:$$35$$ D:$$36$$ 请回答其中一个选项. | $$33$$ |
A jacket was on sale. The original price was ＄$$180$$, and Peter bought it at ＄$$135$$. What was the discount?
选项为:A:$$135\textbackslash\%$$ B:$$180\textbackslash\%$$ C:$$75\textbackslash\%$$ D:$$25\textbackslash\%$$ 请回答其中一个选项. | $$25\textbackslash\%$$ |
The sum of two numbers is $$800$$. The smaller number is $$356$$. What is the greater number?
选项为:A:$$1156$$ B:$$556$$ C:$$454$$ D:$$444$$ 请回答其中一个选项. | $$444$$ |
There are $$20$$ chickens and rabbits in the case, and the total number of legs is $$48$$. How many rabbits in this case?
选项为:A:$$4$$ B:$$6$$ C:$$8$$ D:$$10$$ E:$$12$$ 请回答其中一个选项. | $$4$$ |
A sugar solution is made by mixing $$10$$ ounces of sugar and $$15$$ ounces of water. Find the percent concentration of the solution.
选项为:A:$$20\textbackslash\%$$ B:$25\textbackslash\%$ C:$30\textbackslash\%$ D:$40\textbackslash\%$ 请回答其中一个选项. | $40\textbackslash\%$ |
Mother baked $$40$$ cookies. She gave $$8$$ cookies to her friend and packed the rest equally into bottles. She put $$4$$ cookies in each bottle. How many bottles did she use?
选项为:A:$$7$$ B:$$8$$ C:$$9$$ D:$$10$$ 请回答其中一个选项. | $$8$$ |
Julian started reading a book with $$348$$ pages. He read $$6$$ pages on each day from Monday to Friday and $$11$$ pages on each day on Saturday and Sunday. He started reading on a Thursday. On which day of the week did he finish reading the book? ．
选项为:A:Friday B:Saturday C:Sunday D:Monday 请回答其中一个选项. | Monday |
$5$\% of the students at Hamilton Middle School have red hair. There are $800$ students at Hamilton Middle School. How many students at Hamilton Middle School have red hair?
选项为:A:$$5$$ B:$$40$$ C:$$400$$ D:$$760$$ 请回答其中一个选项. | $$40$$ |
My pay is the same every day I work. I worked \emph{every} day in $$1992$$, even weekends. In March, I earned ＄$$930$$. I earned for all of $$1992$$.
选项为:A:＄$$11346$$ B:＄$$11315$$ C:＄$$10980$$ D:＄$$10950$$ 请回答其中一个选项. | ＄$$10980$$ |
Zosia is drawing kangaroos. The first one is blue, the next one green, the one after it red, the fourth one yellow, and then again blue, green, red, yellow, and so on, in the same order. What color will the seventeenth kangaroo be? (2003 Math Kangaroo Problem, Level 3-4, Question \#4)
选项为:A:$$$$Blue B:$$$$Green C:$$$$Red D:$$$$Black E:$$$$Yellow 请回答其中一个选项. | $$$$Blue |
William is 15 years old, and his sister is 23 years old. How old will his sister be when William is 23 years old?
选项为:A:$$23$$ B:$$31$$ C:$$38$$ D:$$26$$ 请回答其中一个选项. | $$31$$ |
Luna, Lily, and Lucy are talking about their ages. $6$ years ago, Luna was born, and Lily was $5$ years old. This year, the sum of ages of these $3$ people is $33$. When Luna was born, how old was Lucy?
选项为:A:$$7$$ B:$$8$$ C:$$9$$ D:$$10$$ E:$$11$$ 请回答其中一个选项. | $$10$$ |
Jack mixed $200$ g of $10\textbackslash\%$ salt solution, $200$ g of $15\textbackslash\%$ salt solution, and $400$ g of $20\textbackslash\%$ salt solution together. What is the percent concentration of salt solution at this time?
选项为:A:$15\textbackslash\%$ B:$16\textbackslash\%$ C:$16.25\textbackslash\%$ D:$17\textbackslash\%$ 请回答其中一个选项. | $16.25\textbackslash\%$ |
After Sally takes 20 shots, she has made $75 \textbackslash\%$ of her shots. After she takes 10 more shots, she drops her percentage to $60 \textbackslash\%$. How many of the last 5 shots did she make? (adapted from 2004 AMC 8, Question\#6)
选项为:A:$$2$$ B:$$3$$ C:$$4$$ D:$$5$$ E:$$6$$ 请回答其中一个选项. | $$3$$ |
Crystal and Angela had a poem recitation game. Each poem in their game earned $$2$$ points. Crystal recited $$7$$ poems and Angela recited $$11$$ poems. How many more points than Crystal did Angela earn?~(adapted from $$2021$$ Math kangaroo, Level $$1-2$$, Question \#$$14$$)
选项为:A:$$4$$ B:$$6$$ C:$$8$$ D:$$10$$ E:$$12$$ 请回答其中一个选项. | $$8$$ |
A test is with a full score of $100$ points. Five students in a group wants to reach an average of $92$ points. If everyone scores a different whole number, the lowest score among them could be~\uline{~~~~~~~~~~}~.
选项为:A:$$60$$ B:$$61$$ C:$$66$$ D:$$70$$ E:$$71$$ 请回答其中一个选项. | $$66$$ |
Given that April $$15$$, $$2011$$ was Friday, what day was May $$11$$, $$2011$$?
选项为:A:Thursday B:Saturday C:Tuesday D:Wednesday 请回答其中一个选项. | Wednesday |
The perimeter of a cuboid is $180$. What is the largest volume?
选项为:A:$$216$$ B:$$3375$$ C:$$720$$ D:$$9600$$ E:$$1200$$ 请回答其中一个选项. | $$3375$$ |
A worm is staying at the bottom of a well with a depth of $$10$$ metres. If it climbs up $$3$$ metres in the daytime and slips down $$2$$ metres at night, which day will it climb up to the ground?
选项为:A:The $$6$$th day B:The $$7$$th day C:The $$8$$th day D:The $$9$$th day 请回答其中一个选项. | The $$8$$th day |
A train travels from Exeter to Cambridge at a~ speed of $$55km/h$$. Given that Cambridge is $$420km$$ away from Exeter, How far is the train away from Cambridge after setting off for 5 hours?
选项为:A:$$55km$$ B:$$145km$$ C:$$275km$$ D:$$420km$$ 请回答其中一个选项. | $$145km$$ |
In the teachers\textquotesingle{} lounge there are $$6$$ tables with $$4$$ chairs by each one, $$4$$ tables with $$2$$ chairs by each, and $$3$$ tables with $$6$$ chairs by each. How many chairs are there in the lounge? (2003 Math Kangaroo Problem, Level 3-4, Question \#5)
选项为:A:$$40$$ B:$$25$$ C:$$50$$ D:$$36$$ E:$$44$$ 请回答其中一个选项. | $$50$$ |
Helga is climbing stairs in such a way that she goes up $$2$$ steps at a time. She is standing on the third step now. On which step will she be after she moves up $$3$$ times?
选项为:A:$$9$$ B:$$1$$ C:$$6$$ D:$$5$$ E:$$8$$ 请回答其中一个选项. | $$9$$ |
If today is Tuesday, what day of the week will be 86 days later?
选项为:A:Wednesday B:Thursday C:Friday D:Saturday 请回答其中一个选项. | Thursday |
Last month, the price of a couch increased by $\textbackslash$600$. During a sale this month, the couch was offered at a $25\textbackslash\%$ discount. John bought the couch at $\textbackslash$2250$ at the sale. What is the percentage decrease in the cost of the couch as compared to the original price of the couch before the discount?
选项为:A:$6.66\textbackslash\%$ B:$5\textbackslash\%$ C:$6.25\textbackslash\%$ D:None of the above. 请回答其中一个选项. | $6.25\textbackslash\%$ |
Anna is lining up to get some ice-cream. Counting from the front, she is the $$4$$\textsuperscript{th}~in the line. Counting from the back, she is the $$7$$\textsuperscript{th}. How many people are there lining up?~\uline{~~~~~~~~~~}~
选项为:A:$$9$$ B:$$10$$ C:$$11$$ D:$$12$$ 请回答其中一个选项. | $$10$$ |
Jerry starts a savings account with ＄$$7,000$$ at a bank. The interest rate is $$3\textbackslash\%$$ per year. How much interest will he earn in his savings account at the end of the second year?
选项为:A:＄$$426$$ B:＄$$426.3$$ C:＄$$4,263$$ D:＄$$4,263.6$$ 请回答其中一个选项. | ＄$$426.3$$ |
A bookstore purchases some story books at ＄$$22$$ each. If the bookstore wants to earn ＄$$11$$ for each book, what is the selling price of each book?
选项为:A:＄$$22$$ B:＄$$33$$ C:＄$$35$$ D:＄$$44$$ 请回答其中一个选项. | ＄$$33$$ |
There are four books on my shelf. The almanac and the dictionary together weigh $$4310\text{g}$$. The biography and the cookbook together weigh $$2325\text{g}$$. If the almanac and the biography together weigh $$2795\text{g}$$, what is the weigh of the cookbook and dictionary together?
选项为:A:$$2620\text{g}$$ B:$$3270\text{g}$$ C:$$3840\text{g}$$ D:$$4100\text{g}$$ 请回答其中一个选项. | $$3840\text{g}$$ |
There are $72$ balloons in the shop. Pip bought $$\frac49$$ of them. The shop left~\uline{~~~~~~~~~~}~balloons.
选项为:A:$$20$$ B:$$32$$ C:$$40$$ D:$$52$$ E:$$60$$ 请回答其中一个选项. | $$40$$ |
On Monday morning, a snail fell down a well which is $$10$$ meters deep. During the day, it climbs up $$2$$ meters, and during the night it slides down $$1$$ meter. On what day of the week will the snail get out of the well? ($$1998$$ Math kangaroo Problem, Level $$5-6$$, Question \#$$18$$)
选项为:A:$$$$Tuesday B:$$$$Thursday C:$$$$Saturday D:$$$$Sunday E:$$$$Monday 请回答其中一个选项. | $$$$Tuesday |
When one ounce of water is added to a mixture of acid and water, the new mixture is $$20\textbackslash\%$$ acid. When one ounce of acid is added to the new mixture, the result is $$33\frac{1}{3}\textbackslash\%$$ acid. The percentage of acid in the original mixture is ($$1973$$ AHSME Problem, Question \#$$33$$)
选项为:A:$$22\textbackslash\%$$ B:$$24\textbackslash\%$$ C:$$25\textbackslash\%$$ D:$$30\textbackslash\%$$ E:$$33\frac{1}{3}\textbackslash\%$$ 请回答其中一个选项. | $$25\textbackslash\%$$ |
Brandon is engaging sprint race on the track. He is in the fifth place now, and there are $8$ players behind him. There are $5$ extra groups signing up for sprint race, and the number of players of each group are idential. How many sprint players are there in total?
选项为:A:$$65$$ B:$$70$$ C:$$78$$ D:$$84$$ E:$$96$$ 请回答其中一个选项. | $$84$$ |
A shop advertises everything is "half price in today\textquotesingle s sale." In addition, a coupon gives a $25 \textbackslash\%$ discount on sale prices. Using the coupon, the price today represents what percentage off the original price? (adapted from 2012 AMC 8, Question \#8)
选项为:A:$$40\textbackslash\%$$ B:$$42.5\textbackslash\%$$ C:$$57.5\textbackslash\%$$ D:$$62.5\textbackslash\%$$ E:$$70\textbackslash\%$$ 请回答其中一个选项. | $$62.5\textbackslash\%$$ |
James can frost a cookie every $$12$$ seconds and Lacey can frost a cookie every $$15$$ seconds. Working together, how many cookies can they frost in $$10$$ minutes? (Adapted from $$2012$$ AMC $$10\rm A$$ Problem, Question \#$$11$$)
选项为:A:$$50$$ B:$$60$$ C:$$80$$ D:$$90$$ E:$$100$$ 请回答其中一个选项. | $$90$$ |
Judy ran for $$16$$ minutes. If her average speed was $$80$$ meters per minute, then how many meters did Judy run?
选项为:A:$$800$$ B:$$5$$ C:$$1280$$ D:$$96$$ 请回答其中一个选项. | $$1280$$ |
The length of a rectangle is increased by $10 \textbackslash\%$ and the width is decreased by $10 \textbackslash\%$. What percent of the old area is the new area? (2009 AMC 8, Question \#8)
选项为:A:$$90$$ B:$$99$$ C:$$100$$ D:$$101$$ E:$$110$$ 请回答其中一个选项. | $$99$$ |
The price ratio of goods $$A$$ to $$B$$ is $$7:2$$. If their prices were increased by $$\textbackslash$60$$ respectively, the price ratio would be $$5:2$$. What are the prices of these two goods?
选项为:A:$$\textbackslash$315$$, $$\textbackslash$90$$ B:$$\textbackslash$320$$, $$\textbackslash$100$$ C:$$\textbackslash$330$$, $$\textbackslash$120$$ D:$$\textbackslash$350$$, $$\textbackslash$200$$ 请回答其中一个选项. | $$\textbackslash$315$$, $$\textbackslash$90$$ |
Ela and Kasia boarded a super-train. Ela took a seat in the seventeenth car counting from the front of the train, and Kasia was seated in the thirty-fourth car counting from the end. The girls were sitting in the same car. How many cars did the super-train have? (2001 Math Kangaroo Problem, Level 3-4, Question \#13)
选项为:A:$$48$$ B:$$49$$ C:$$50$$ D:$$51$$ E:$$52$$ 请回答其中一个选项. | $$50$$ |
James had $$10000$$ dollars, and he deposited ＄$$7000$$ in Bank $$A$$ and ＄$$3000$$ in Bank $$B$$. At the end of the year, James received an interest of＄$$460$$ in total. Given that the sum of the annual interest rates of the two banks is $$10\textbackslash\%$$, find the interest rates of the two banks, respectively.
选项为:A:$$2\textbackslash\%$$; $$8\textbackslash\%$$. B:$$3\textbackslash\%$$; $$7\textbackslash\%$$. C:$$4\textbackslash\%$$; $$6\textbackslash\%$$. D:$$5\textbackslash\%$$; $$5\textbackslash\%$$. 请回答其中一个选项. | $$4\textbackslash\%$$; $$6\textbackslash\%$$. |
Peter has a rope, and he ties some knots, each using $10$-cm rope. He ties $25$ knots in total. After he ties the last knot, the knots divide the rope into pieces~ equally, and the length of each piece is $7$ cm. What is the length of the entire rope?
选项为:A:$$425$$ cm B:$$432$$ cm C:$$456$$ cm D:$$478$$ cm E:$$480$$ cm 请回答其中一个选项. | $$432$$ cm |
The scale of a map is:~$\dfrac{3}{4}$ of an inch $$=10$$ miles. If the distance on the map between two towns is $$12$$ inches, the actual distance between the towns is．
选项为:A:$$90$$ miles B:$$120$$ miles C:$$150$$ miles D:$$160$$ miles 请回答其中一个选项. | $$160$$ miles |
Gawel lives on the second floor, and Pawel lives in the same building but has to walk up twice as many stairs as Gawel. There are no stairs to the entrance of the building. On which floor does Pawel live? (2000 Math Kangaroo Problem, Level 3-4, Question \#4)
选项为:A:on the $2$\textsuperscript{nd} floor B:on the $3$\textsuperscript{rd} floor C:on the $4$\textsuperscript{th} floor D:on the $5$\textsuperscript{th} floor E:on the $6$\textsuperscript{th} floor 请回答其中一个选项. | on the $3$\textsuperscript{rd} floor |
I ate half an apple pie on Saturday and two thirds of the remainder on Sunday. What fraction of the pie was left for Monday?
选项为:A:None B:$$\frac{1}{2}$$ C:$$\frac{1}{3}$$ D:$$\frac{2}{3}$$ E:$$\frac{1}{6}$$ 请回答其中一个选项. | $$\frac{1}{6}$$ |
The length of Amy\textquotesingle s string is $$35\text{cm}$$. The length of David\textquotesingle s string is $$29\text{cm}$$. What is the total length of both strings?
选项为:A:$$54\text{cm}$$ B:$$49\text{cm}$$ C:$$64\text{cm}$$ D:$$65\text{cm}$$ E:$$66\text{cm}$$ 请回答其中一个选项. | $$64\text{cm}$$ |
Cici bought $$12$$ pencils and notebooks in total for $$66$$. Each pencil cost $$2$$. Each notebook costs $8$. How many notebooks did Cici buy?
选项为:A:$$5$$ B:$$6$$ C:$$7$$ D:$8$ E:$$10$$ 请回答其中一个选项. | $$7$$ |
There are oranges, apricots and peaches in a big basket. How many fruits are there in the basket if the peaches and the apricots together are 18, the oranges and the apricots together are 28 and 30 fruits are not apricots?
选项为:A:$$46$$ B:$$20$$ C:$$40$$ D:$$38$$ E:$$29$$ 请回答其中一个选项. | $$38$$ |
Suppose $15 \textbackslash\%$ of $x$ equals $20 \textbackslash\%$ of $y$. What percentage of $x$ is $y$ ? (2020 AMC 8, Question 15)
选项为:A:$$5$$ B:$$35$$ C:$$75$$ D:$133\frac{1}{3}$ E:$$300$$ 请回答其中一个选项. | $$75$$ |
The scale of a map is:~$\dfrac{3}{4}$ of an inch $$=10$$ miles. If the distance on the map between two towns is $$12$$ inches, the actual distance between the towns is．
选项为:A:$$90$$ miles B:$$120$$ miles C:$$150$$ miles D:$$160$$ miles 请回答其中一个选项. | $$160$$ miles |
Five people took the same test and got an average score of $80$. Four of the people scored $80$, $85$, $82$, and $90$, respectively. What is the score of the remaining person?
选项为:A:$$80$$ B:$$76$$ C:$$73$$ D:$$63$$ E:$$56$$ 请回答其中一个选项. | $$63$$ |
It is $4:00$ now. How many minutes does it take for the clock\textquotesingle s hour and minute hands to overlap for the first time?
选项为:A:$43\frac 7{11}$ minutes B:$10\frac {10}{11}$ minutes C:$21\frac 9{11}$ minutes D:$22\frac 9{11}$ minutes E:$42\frac 7{11}$ minutes 请回答其中一个选项. | $21\frac 9{11}$ minutes |
Chloe and Zoe are both students in Ms. Demeanor\textquotesingle s math class. Last night they each solved half of the problems in their homework assignment alone and then solved the other half together. Chloe had correct answers to only $80 \textbackslash\%$ of the problems she solved alone, but overall $88 \textbackslash\%$ of her answers were correct. Zoe had correct answers to $90 \textbackslash\%$ of the problems she solved alone. What was Zoe\textquotesingle s overall percentage of correct answers? (2017 AMC 8, Question \#14)
选项为:A:$$89$$ B:$$92$$ C:$$93$$ D:$$96$$ E:$$98$$ 请回答其中一个选项. | $$93$$ |
Three boxes under my stairs contain apples or pears or both. Each box contains the same number of pieces of fruit. The first box contains all twelve of the apples and one-ninth of the pears. How many pieces of fruit are there in each box?
选项为:A:$$14$$ B:$$16$$ C:$$18$$ D:$$20$$ E:$$36$$ 请回答其中一个选项. | $$16$$ |
Duckings are walking in a queue when they are following the mother duck. Joey the duckling is the 6th from the front and 8th from the back (including the mother duck). Some of the ducklings at the back moved away from the queue making Joey the middle duckling in the queue. How many ducklings moved away from the queue?
选项为:A:$$2$$ B:$$3$$ C:$$4$$ D:$$5$$ E:None of the above. 请回答其中一个选项. | $$2$$ |
Every week, Robyn swims while Sam sings. For every $$2$$ of Sam\textquotesingle s songs, Robyn swims $$9$$ lengths. If Robyn swims $$54$$ lengths, how many songs does Sam sing?
选项为:A:$$6$$ B:$$8$$ C:$$10$$ D:$$12$$ E:$$18$$ 请回答其中一个选项. | $$12$$ |
If today is a Wednesday, then $$22$$ days ago was a．
选项为:A:Tuesday B:Wednesday C:Thursday D:Friday 请回答其中一个选项. | Tuesday |
John drinks $x$ cups of boba everyday on weekdays and $1$ cups of boba everyday on the weekends. Which of the following equations represents how many cups of boba John drinks every week?
选项为:A:$x+2$ B:$5x+2$ C:$5x+1$ D:$5x-1$ 请回答其中一个选项. | $5x+2$ |
This year Gareth is seven times the age of his son Herbie. In six years\textquotesingle{} time Gareth will be four times as old as Herbie. What is the difference between Gareth\textquotesingle s and Herbie\textquotesingle s ages this year?
选项为:A:$$16$$ years B:$$20$$ years C:$$24$$ years D:$$36$$ years E:$$42$$ years 请回答其中一个选项. | $$36$$ years |
A piece of pasture can feed $$17$$ cow for $$30$$ days or $$19$$ cows for $$24$$ days. If the grass grows at the same speed every day, how many cows can it feed for $$6$$ days? ．
选项为:A:$$38$$ B:$$45$$ C:$$49$$ D:$$52$$ 请回答其中一个选项. | $$49$$ |
The month of February of a given year has five Fridays. What day of the week is January $$31$$ of that year?
选项为:A:Tuesday B:Thursday C:Friday D:Saturday 请回答其中一个选项. | Thursday |
Several students are singing in a line. Amy is the fourth one from the left. From the right, Amy is the fourth too. How many students are singing? (adapted from $$2019$$ Math kangaroo Problems, Level $$1-2$$, Question \#$$5$$)
选项为:A:$5$ B:$6$ C:$7$ D:$8$ E:$9$ 请回答其中一个选项. | $7$ |
In a class of pupils, $80\textbackslash\%$ participated in basketball, $85\textbackslash\%$ participated in football, $74\textbackslash\%$ participated in softball and $68\textbackslash\%$ participated in squash. Find the minimum percentage of pupils who participated in all the four sports events.
选项为:A:$7\textbackslash\%$ B:$10\textbackslash\%$ C:$12\textbackslash\%$ D:$15\textbackslash\%$ E:None of the above 请回答其中一个选项. | $7\textbackslash\%$ |
If six days ago was a Tuesday, then eight days from today is a．
选项为:A:Monday B:Tuesday C:Wednesday D:Thursday 请回答其中一个选项. | Tuesday |
In the sequence of letters $$\text{KANGAROOKANGAROOKANG}\cdots$$ the word $$\text{KANGAROO}$$ is repeated indefinitely. What is the $$2017\text{th}$$ letter in this sequence?
选项为:A:$$\text{K}$$ B:$$\text{N}$$ C:$$\text{G}$$ D:$$\text{R}$$ E:$$\text{O}$$ 请回答其中一个选项. | $$\text{K}$$ |
There are $$30$$ students in your class. The ratio of boys to girls is $$3:2$$. How many boys and girls are there?.
选项为:A:$$30$$ and $$20$$ B:$$20$$ and $$30$$ C:$$18$$ and $$12$$ D:$$12$$ and $$18$$ 请回答其中一个选项. | $$18$$ and $$12$$ |
A bag contains $$100$$ raffle tickets in red, white and blue. The ratio of red to white tickets is $$5:4$$ and the ratio of white to blue tickets is $$8:7$$. What is the smallest number of tickets that would have to be picked to make sure having selected at least half of \textbf{one} colour?
选项为:A:$$48$$ B:$$49$$ C:$$50$$ D:$$51$$ E:$$52$$ 请回答其中一个选项. | $$48$$ |
Alice\textquotesingle s first day in Caterpillar Club was Tuesday. She wants to throw a party on her $40\rm{th}$ day in the club. If Alice attends the club everyday, on which day of the week will the party be?
选项为:A:Friday B:Saturday C:Sunday D:Monday E:None of the above 请回答其中一个选项. | Saturday |
Jenny is $5$ years old. She has $2$ sisters, Julie and Jas. Julie is $1$ year older than Jas. In two year\textquotesingle s time, their total age will be $18$ years. How old is Julie now?
选项为:A:$$3$$ B:$$4$$ C:$$5$$ D:$$6$$ E:$$7$$ 请回答其中一个选项. | $$4$$ |
Julia has eaten one-quarters of the pizza. What is the ratio of the number of pizza that remain to the number Julia has eaten?
选项为:A:$$1:3$$ B:$$3:1 $$ C:$$1:4 $$ D:$$4:1$$ E:$$4:3$$ 请回答其中一个选项. | $$3:1 $$ |
A gardener has a box of bulbs to plant in a garden. The garden has three sections. She plants 1/2~of the bulbs in the first section. She plants 3 /4~of the remaining bulbs in the second section. She has 6 bulbs left, which she plants in the third section. How many bulbs were in the box at the start?
选项为:A:$$16$$ B:$$18$$ C:$$24$$ D:$$32$$ E:$$48$$ 请回答其中一个选项. | $$48$$ |
Will is selling apples at the farmer\textquotesingle s market. After selling $\dfrac{2}{5}$ of them, he has $150$ left. How many apples did Will have to start with?
选项为:A:$$250$$ B:$$375$$ C:$$90$$ D:$$60$$ 请回答其中一个选项. | $$250$$ |
Brandon is engaging sprint race on the track, and he is in the first group. On the track, there are $5$ players in front of him, and there are $8$ players behind him. There are $5$ extra groups signing up for the sprint race, and the number of players of each group are identical. How many sprint players are there in total?
选项为:A:$$65$$ B:$$70$$ C:$$78$$ D:$$84$$ E:$$96$$ 请回答其中一个选项. | $$84$$ |
Niko counted a total of $$60$$ birds perching in three trees. Five minutes later, $$6$$ birds had flown away from the first tree, $$8$$ birds had flown away from the second tree and $$4$$ birds had flown away from the third tree. He noticed that there was now the same number of birds in each tree. How many birds were originally perched in the second tree?
选项为:A:$$14$$ B:$$18$$ C:$$20$$ D:$$21$$ E:$$22$$ 请回答其中一个选项. | $$22$$ |
A tank filled with $200$ litres of water weighs $350\rm{kg}$. The same tank filled with $150$ litres of water weighs $315\rm{kg}$. What is the weight of the empty tank?
选项为:A:$$120\rm{kg}$$ B:$$150\rm{kg}$$ C:$$165\rm{kg}$$ D:$$210\rm{kg}$$ E:None of the above 请回答其中一个选项. | $$210\rm{kg}$$ |
A total of $$42$$ chickens and rabbits are caged together. If there are $$124$$ legs in total, how many chickens and rabbits are in the cage, respectively?
选项为:A:$20$; $12$ B:$22$; $20$ C:$20$; $24$ D:$19$; $21$ 请回答其中一个选项. | $22$; $20$ |
A string $$12$$ meters long is cut into $$6$$ pieces of equal length. What is the sum of the lengths of any $$4$$ of these pieces?
选项为:A:$$2\text{m}$$ B:$$4\text{m}$$ C:$$6\text{m}$$ D:$$8\text{m}$$ 请回答其中一个选项. | $$8\text{m}$$ |
William plans to take $$16$$ days to drive to New York City from his home. However, since there is heavy traffic, he drives $$20$$ miles less each day and arrives in New York City $$8$$ days later than his plan. What is the distance between William\textquotesingle s home and New York City?
选项为:A:$$480$$ miles B:$$1080$$ miles C:$$960$$ miles D:$$720$$ miles E:$$1200$$ miles 请回答其中一个选项. | $$960$$ miles |
Calculate: $1\times 10+2\times 9+3\times 8+ \cdots + 9\times 2+ 10\times 1$
选项为:A:$$200$$ B:$$140$$ C:$$210$$ D:$$180$$ E:None of the above 请回答其中一个选项. | None of the above |
The sum of Ben\textquotesingle s age and Ben\textquotesingle s grandma\textquotesingle s age is $$96$$. Ben\textquotesingle s grandma\textquotesingle s age is three times older than Ben\textquotesingle s age. How old is Ben\textquotesingle s grandma?
选项为:A:$$24$$ B:$$48$$ C:$$72$$ D:$$96$$ 请回答其中一个选项. | $$72$$ |
Five children divided some cakes equally. What percents of the cakes two of them could get in total?
选项为:A:$$5\textbackslash\%$$ B:$$10\textbackslash\%$$ C:$$20\textbackslash\%$$ D:$$40\textbackslash\%$$ 请回答其中一个选项. | $$40\textbackslash\%$$ |
This year, March $$19$$ falls on a Thursday. What day of the week will it be in $$30$$ days?
选项为:A:Wednesday B:Thursday C:Friday D:Saturday E:Sunday 请回答其中一个选项. | Saturday |
A group of students go apple-picking. On average, each boy picks $30$ apples and each girl picks $20$ apples. The average number of apples picked by everyone in this groups is $26$. If there are $15$ boys, then how many girls are there in the group?
选项为:A:$$15$$ B:$$10$$ C:$$9$$ D:$$20$$ E:$$23$$ 请回答其中一个选项. | $$10$$ |
If $$10^{}\text{th}$$June is Sunday, what day of the week is $$1$$\textsuperscript{st} June?
选项为:A:Sunday B:Monday C:Wednesday D:Friday E:Saturday 请回答其中一个选项. | Friday |
The possible grades on an exam are $$5$$, $$4$$, $$3$$, $$2$$, or $$1$$. In a class of $$200$$ students, $$\frac{1}{10}$$ of them got $$5$$s, $$\frac{1}{5}$$ them got $$4$$s, $$25 \textbackslash\% $$ of them got $$3$$s, and $$15 \textbackslash\%$$ of them got $$2$$s. How many students got $$1$$s ?
选项为:A:$$40$$ B:$$60$$ C:$$80$$ D:$$100$$ 请回答其中一个选项. | $$60$$ |
The average weight of $4$ students in Class $A$ is $37$ kilograms. The average weight of $11$ students in Class $B$ is $41$ kilograms. The total weight of $5$ students in Class $C$ is $161$ kilograms. What is the average weight of the students in the $3$ classes?
选项为:A:$36$ kilograms B:$38$ kilograms C:$40$ kilograms D:$43$ kilograms 请回答其中一个选项. | $38$ kilograms |
In $$2005$$, both John and Mary have the same amount of pocket money per month. In $$2006$$, John had an increase of $$10\textbackslash\%$$ and Mary a decrease of $$10\textbackslash\%$$ in their monthly pocket money. In $$2007$$, John had a decrease of $$10\textbackslash\%$$ and Mary an increase of $$10\textbackslash\%$$ in their monthly pocket money. $\textasciitilde$ John had a~\uline{~~~~~~~~~~}~$\textbackslash\%$ increase/decrease in his pocket money in $2007$ compared to $2005$. Mary had a~\uline{~~~~~~~~~~}~$\textbackslash\%$ increase/decrease in her pocket money in $2007$ compared to $2005$. $\textasciitilde$ Which one of the following statements is correct?
选项为:A:Both have the same amount of pocket money now. B:John has more pocket money now. C:Mary has more pocket money now. D:It is impossible to tell who has more pocket money now. 请回答其中一个选项. | Both have the same amount of pocket money now. |
Lena the panda has $$30$$ bamboos. She eats $$3$$ bamboos each day. She ate the $$18th$$ bamboo on Tuesday. On which day did she start eating the bamboos?
选项为:A:Monday B:Tuesday C:Wednesday D:Thursday E:Friday 请回答其中一个选项. | Thursday |
A particular cattle is fed $7 \text{kg}$, $8 \text{kg}$ and $9 \text{kg}$ of special food on Day $1$, $2$ and $3$ respectively by a farmer. From Day $4$ onwards, the amount of food fed to the cattle follows the following rule: (i) if the total amount of food fed to the cattle in the past $3$ days is $24 \text{kg}$ or more, the cattle will be fed $2 \text{kg}$ less than the day before. (ⅱ) if the total amount of food fed to the cattle in the past $3$ days is less than $24 \text{kg}$, the cattle will be fed $1 \text{kg}$ more than the day before. Calculate the minimum number of days for the total amount of food fed to the cattle to exceed $2018 \text{kg}$.
选项为:A:$$280$$ B:$$284$$ C:$$288$$ D:$$292$$ E:None of the above 请回答其中一个选项. | None of the above |
Emily was $$6$$ years old last year, and her sister was $$6$$ years old six years ago. What is the age difference between Emily and her sister today? (adapted from 2005 Math Kangaroo Problem, Level 1-2, Question \#17)
选项为:A:$$4$$ B:$$5$$ C:$$7$$ D:$$13$$ E:$$14$$ 请回答其中一个选项. | $$5$$ |
Sinnce $$7^{2}=49$$, its ones\textquotesingle{} digit is a $$9$$. What is the ones\textquotesingle{} digit of $$2^{50}$$?
选项为:A:$$0$$ B:$$2$$ C:$$4$$ D:$$8$$ 请回答其中一个选项. | $$4$$ |
If six days ago was a Tuesday, then eight days from today is a．
选项为:A:Monday B:Tuesday C:Wednesday D:Thursday 请回答其中一个选项. | Tuesday |
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