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Granny and the triplets Cara, Cate and Chris all have their birthdays today. The ages of all four of them total $$120$$ years. Granny is $$5$$ times as old as each of the triplets. When were the triplets born?
选项为:A:$$2000$$ B:$$2002$$ C:$$2004$$ D:$$2006$$ E:$$2008$$ 请回答其中一个选项. | $$2004$$ |
Chloe is buying candies at a grocery store. She can either spend $8$ dollars on a $15\text{-ounce}$ bag or $12$ dollars on a $20\text{-ounce}$ bag. Which is a better buy?
选项为:A:The $15\text{-ounce}$ bag B:The $20\text{-ounce}$ bag 请回答其中一个选项. | The $15\text{-ounce}$ bag |
If February is a month that contains Friday the $$13^{}\text{th}$$, what day of the week is February $$1$$?
选项为:A:Sunday B:Monday C:Wednesday D:Thursday E:Saturday 请回答其中一个选项. | Sunday |
Tower $$A$$ is $$\rm 64 m$$ high.The total height of Tower $$A$$ and Tower $$B$$ is $$\rm 112 m$$.What is the difference between the height of the two towers?~\uline{~~~~~~~~~~}~$$\rm m$$.
选项为:A:$$14$$ B:$$15$$ C:$$16$$ D:$$17$$ E:$$18$$ 请回答其中一个选项. | $$16$$ |
Clara, Pablo and Miguel share some money in the ratio $$3:1:4$$. Miguel then gave Pablo and Clara each $$25\textbackslash\%$$ of his share, leaving Clara with ￡$$6$$ more than Miguel. How much money does Pablo now have?
选项为:A:￡$$2$$ B:￡$$3.60$$ C:￡$$4$$ D:￡$$6$$ E:￡$$12$$ 请回答其中一个选项. | ￡$$6$$ |
Adam paid £6 for $$15$$ buns. How many dollars did Tom pay for the same kind of buns if he bought $$5$$?
选项为:A:$$2$$ B:$$3$$ C:$$4$$ D:$$5$$ 请回答其中一个选项. | $$2$$ |
SASMO 2014 P2 Q7 There are 14 children playing "The eagle catches the chicks." One of them is the \textquotesingle eagle\textquotesingle{} while another child is the \textquotesingle mother hen\textquotesingle{} whose job is to protect the \textquotesingle chicks\textquotesingle. The rest of the children are the \textquotesingle chicks\textquotesingle. After a while, the \textquotesingle eagle\textquotesingle{} has caught 5 \textquotesingle chicks\textquotesingle. How many \textquotesingle chicks\textquotesingle{} are still around?
选项为:A:$$6$$ B:$$7$$ C:$$8$$ D:$$9$$ E:$$10$$ 请回答其中一个选项. | $$7$$ |
For every $$7$$ soccer balls Elena bought for the gym, she bought $$4$$ basketballs. If she bought $$35$$ soccer balls, she bought a total ofballs.
选项为:A:$$20$$ B:$$35$$ C:$$45$$ D:$$55$$ 请回答其中一个选项. | $$55$$ |
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 $90\textbackslash\%$ of the problems she solved alone, but overall $60\textbackslash\%$ of her answers were correct. Zoe had correct answers to $70\textbackslash\%$ 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:$$45$$ B:$$48$$ C:$$50$$ D:$$60$$ E:$$65$$ 请回答其中一个选项. | $$50$$ |
When Cici was born, Linda was $11$ years old. The sum of their ages $4$ years later will be $37$. How old will be Linda $3$ years later?
选项为:A:$$12$$ B:$$22$$ C:$$24$$ D:$$26$$ 请回答其中一个选项. | $$24$$ |
My mom\textquotesingle s birthday is on Sunday, and my dad\textquotesingle s birthday is $$55$$ days later. On what day of the week will my dad\textquotesingle s birthday be? ．
选项为:A:$$ $$Sunday$$ $$ B:$$ $$Tuesday$$ $$ C:$$ $$Thursday$$ $$ D:$$ $$Saturday$$ $$ 请回答其中一个选项. | $$ $$Saturday$$ $$ |
My age is $$3$$ years less than $$5$$ times my sister\textquotesingle s age. If I am $$27$$, the sum of my age and my sister\textquotesingle s age is．
选项为:A:$$33$$ B:$$36$$ C:$$39$$ D:$$42$$ 请回答其中一个选项. | $$33$$ |
Valeria has $$65$$ grams of a $$20\textbackslash\%$$ sugar solution. How many grams of sugar is in the solution? How many grams of water is in the solution?
选项为:A:$$20$$; $$65$$ B:$$13$$; $$52$$ C:$$13$$; $$65$$ D:$$20$$; $$52$$ 请回答其中一个选项. | $$13$$; $$52$$ |
Each watermelon\textquotesingle s full price is $$4$$ dollars. Currently, the watermelons on a discounted price for $$3$$ dollars each. Ms. Lee ~wants to buy $$3$$ of them. She needs to pay~\uline{~~~~~~~~~~}~dollars in total.
选项为:A:$$8$$ B:$$9$$ C:$$10$$ D:$$12$$ E:$$14$$ 请回答其中一个选项. | $$9$$ |
19 less than 67 is~\uline{~~~~~~~~~~}~.
选项为:A:$$58$$ B:$$68$$ C:$$38$$ D:$$48$$ 请回答其中一个选项. | $$48$$ |
Mother\textquotesingle s Day in $$2020$$ was May $$10$$th, which was Sunday. Father\textquotesingle s Day in $$2020$$ was June $$21$$st. On what day did Father\textquotesingle s Day fall?
选项为:A:Thursday B:Saturday C:Sunday D:Tuesday 请回答其中一个选项. | Sunday |
The ages of Tom\textquotesingle s father, Tom\textquotesingle s mother and Tom are $86$ together. Tom\textquotesingle s mother is $24$ years older than Tom and~~$2$ years younger than Tom\textquotesingle s father.How old is Tom?
选项为:A:$$6$$ B:$$12$$ C:$$32$$ D:$$30$$ E:$$36$$ 请回答其中一个选项. | $$12$$ |
How many ways are there to make $$$80$$ using some combination of $$$5$$, $$$10$$ and $$$20$$ notes?
选项为:A:$$16$$ B:$$25$$ C:$$36$$ D:$$49$$ E:None of the above 请回答其中一个选项. | None of the above |
Mark and Karl have $$100$$ dollars in total. The money Mark owns is three times the money Karl owns. How many dollars does Mark have? (Adapted from 1999 Math Kangaroo Problem, Level 3 - 4, Question \#6)
选项为:A:$$20$$ B:$$25$$ C:$$35$$ D:$$75$$ E:$$80$$ 请回答其中一个选项. | $$75$$ |
If today is Monday, which day of the week will it be $$22$$ days later? ．
选项为:A:Sunday B:Monday C:Tuesday D:Wednesday 请回答其中一个选项. | Tuesday |
In a maths test, the average score of $$40$$ students is $$25$$. The lowest score is $$5$$. At most how many student(s) can get $$100$$ points?
选项为:A:$$11$$ B:$$10$$ C:$$9$$ D:$$8$$ E:$$7$$ 请回答其中一个选项. | $$8$$ |
The class organized students to do gymnastics side by side，$$and$$ there are two people in each row. Bob and Tick observed that there were $8$ rows in front of them and $11$ rows in the back. How many people in the class did gymnastics together?~(adapted from 2000 Math Kangaroo Problem, Level 3 - 4, Question \#12)
选项为:A:$$36$$ B:$$38$$ C:$$40$$ D:$$42$$ E:$$44$$ 请回答其中一个选项. | $$40$$ |
Felix and Marmalade are two cats. Together they weigh $$10\text{kg}$$. Felix weighs $$4\text{kg}$$ less than Marmalade. How much does Marmalade weigh?
选项为:A:$$3\text{kg}$$ B:$$6\text{kg}$$ C:$$7 \text{kg}$$ D:$$9\text{kg}$$ E:$$14 \text{kg}$$ 请回答其中一个选项. | $$7 \text{kg}$$ |
If $6\text{cm}$ represents $50\text{km}$ on a map and the actual distance between two towns is $125\text{km}$, then their distance apart on the map is ．
选项为:A:$8\text{cm}$ B:$10\text{cm}$ C:$15\text{cm}$ D:$18\text{cm}$ E:$12\text{cm}$ 请回答其中一个选项. | $15\text{cm}$ |
In the yard there is an equal number of pigs, ducks and chickens. Together, they have $$144$$ legs. How many ducks are there in the yard?
选项为:A:$$18$$ B:$$21$$ C:$$35$$ D:$$42$$ E:$$43$$ 请回答其中一个选项. | $$18$$ |
How many days are there in exactly $$52$$ weeks?
选项为:A:$$364$$ B:$$365$$ C:$$366$$ D:$$367$$ 请回答其中一个选项. | $$364$$ |
A "combo"~ticket to enter the fair and ride unlimited rides is ＄$$30$$. A``per ride" ticket costs ＄$$12.50$$ to enter and ＄$$5$$ per ride. For a"combo''ticket to cost less than a "per ride" ticket, a person must go on at least rides.
选项为:A:$$3$$ B:$$4$$ C:$$6$$ D:$$7$$ 请回答其中一个选项. | $$4$$ |
Niki usually leaves her cell phone on. If her cell phone is on but she is not actually using it, the battery will last for $$24$$ hours. If she is using it constantly, the battery will last for only $$3$$ hours. Since the last recharge, her phone has been on $$9$$ hours, and during that time she has used it for $$60$$ minutes. If she doesn\textquotesingle t use it any more but leaves the phone on, how many more hours will the battery last?
选项为:A:$$7$$ B:$$8$$ C:$$11$$ D:$$14$$ 请回答其中一个选项. | $$8$$ |
A worm is staying at the bottom of a well with a depth of $$11$$ meters. If it climbs up $$3$$ meters in the day time and slips down $$1$$ meter at night, which day will it climb up to the ground?
选项为:A:$$3$$ B:$$4$$ C:$$5$$ D:$$6$$ E:$$7$$ 请回答其中一个选项. | $$5$$ |
The sum of the ages of Anita and Peter is $$20$$ years. What is the sum of their ages three years ago?
选项为:A:$$18$$ B:$$17$$ C:$$14$$ D:$$11$$ 请回答其中一个选项. | $$14$$ |
James makes a long noodle. He takes some bites of the noodle, each time eating $5$ cm of the noodle from the middle of only one piece. At last, he has $12$ pieces of the noodle with the total length of $24$ cm. How long was the entire noodle in cm at the beginning? (Adapted from 2022 AMC 8 Problem, Question \#11)
选项为:A:$$94$$ B:$$89$$ C:$$80$$ D:$$79$$ E:$$75$$ 请回答其中一个选项. | $$79$$ |
A mixture of $25$ liters of paint is $16 \textbackslash\%$ red tint, $24\textbackslash\%$ yellow tint and $60\textbackslash\%$ water. $15$ liters of yellow tint are added to the original mixture. What is the percent of yellow tint in the new mixture? (adapted from 2007 AMC 8, Question \#17 )
选项为:A:$$52.5$$ B:$$55$$ C:$$57.5$$ D:$$60$$ 请回答其中一个选项. | $$52.5$$ |
Edwin has three flowers, one red, one blue and one yellow. They have $50$ petals in total. The blue flower has $4$ petals less than the red one and $5$ petals more than the yellow one. How many petals does the red flower have?
选项为:A:$$12$$ B:$$13$$ C:$$17$$ D:$$21$$ E:$$22$$ 请回答其中一个选项. | $$22$$ |
Mike has a bookcase with three layers, and the proportion of books placed on the upper, middle and lower layers is $$5:6:4$$. Given that there are $$240$$ books on the middle level, books should be removed from middle level and added to the lower level so that the number of books on each level can be exactly the same.
选项为:A:$$48$$ B:$$40$$ C:$$60$$ D:$$80$$ 请回答其中一个选项. | $$40$$ |
Barb likes to help her father with housework. She dusts every $3$ days, sweeps every $4$ days, and cooks dinner every $5$ days. If she does all $3$ chores on one Sunday, she next does all $3$ on the same day on a ．
选项为:A:Wednesday B:Thursday C:Friday D:Saturday 请回答其中一个选项. | Thursday |
This year, October $$28$$ falls on a Sunday. What day of the week will it be after $$38$$ days? (adapted from 2015 Math Kangaroo Problem, Level 3-4, Question \#8)
选项为:A:Wednesday B:Thursday C:Tuesday D:Friday E:Sunday 请回答其中一个选项. | Wednesday |
A family made a $$100\text{km}$$ trip. For half the distance, they drove at $$50\text{km}$$~ per hour; for the other half, they drove at $$25\text{km}$$~ per hour How many hours did this trip take?
选项为:A:$$3$$ B:$$4$$ C:$$5$$ D:$$6$$ 请回答其中一个选项. | $$3$$ |
James has $600$ g of a $$8\textbackslash\%$$ salt solution, and then $120$ g of water evaporates. Find the percent concentration of salt solution at this time.
选项为:A:$10\textbackslash\%$ B:$12\textbackslash\%$ C:$15\textbackslash\%$ D:$18\textbackslash\%$ 请回答其中一个选项. | $10\textbackslash\%$ |
Alex is $8$ years older than her two sisters who are twins. The sum of the ages of all three girls is $32$ years old. How old is Alex? ($2007$ Math Kangaroo Problem, Level $5$-$6$, Question \#$9$)
选项为:A:$$12$$ B:$$18$$ C:$$16$$ D:$$20$$ E:$$14$$ 请回答其中一个选项. | $$16$$ |
The rabbit Cici picks mushrooms in the forest. She finds one mushroom every $5$ meters, and she finds $8$ mushrooms in total. How long does Cici walk from where she finds the first mushroom to where she finds the last one?
选项为:A:$$13$$ B:$$35$$ C:$$36$$ D:$$40$$ 请回答其中一个选项. | $$35$$ |
Given March $$25$$ of a certain year is Monday, what day of the week would May $$1$$ fall on that year? ．
选项为:A:Tuesday B:Wednesday C:Thursday D:Friday 请回答其中一个选项. | Wednesday |
Jane released a homing pigeon at $$5:30\rm$$ a.m.. The pigeon arrived at its destination at $$11:30\rm$$ a.m.. How many miles did the pigeon travel if it flies $$120$$ miles in $$2$$ hours? (adapted from 2007 Math Kangaroo Problem, Level 5-6, Question \#18)
选项为:A:$$120$$ B:$$720$$ C:$$360$$ D:$$300$$ E:$$420$$ 请回答其中一个选项. | $$360$$ |
A bag of toffee is $8$ dollars, a bag of cotton candy is $6$ dollars, and a bag of orange candy is $13$ dollars. Now, the candy shop decides to mix $30$ bags of toffee, $50$ bags of cotton candy, and $20$ bags of orange candy for $100$ bags of assorted candy. What should be the price of the assorted candy in dollars to keep the total revenue unchanged?
选项为:A:$$7.5$$ B:$$8$$ C:$$9.5$$ D:$$10$$ E:$$12$$ 请回答其中一个选项. | $$8$$ |
There are some ducks and sheep in a farm. The number of sheep is $10$ more than ducks. The number of ducks is half the number of sheep. In total, how many ducks and sheep are there in the farm? ~
选项为:A:$26$ B:$$30$$ C:$$33$$ D:$$39$$ E:$$40$$ 请回答其中一个选项. | $$30$$ |
Pat paints twice as fast as Lee. If it took Lee $6$ hours to paint a room, how long would it have taken if both had painted the room together?
选项为:A:$2$ hours B:$3$ hours C:$9$ hours D:$18$ hours 请回答其中一个选项. | $2$ hours |
Ben and Ken have some books. After Ben sends $4$ books to Ken, he has $1$ fewer book than Ken. Which of the following is true?
选项为:A:Originally, Ben had $3$ more books than Ken. B:Originally, Ben had $4$ more books than Ken. C:Originally, Ben had $1$ fewer book than Ken. D:Originally, Ben had $9$ more books than Ken. E:Originally, Ben had $7$ more books than Ken. 请回答其中一个选项. | Originally, Ben had $7$ more books than Ken. |
John bought $10$ pencils and notebooks in total for £$44$. Each pencil cost £$$2$$. Each notebook costs £$$8$$. How many notebooks did John buy?
选项为:A:$$4$$ B:$$5$$ C:$$6$$ D:$$7$$ E:$$8$$ 请回答其中一个选项. | $$4$$ |
Lily\textquotesingle s age plus Judy\textquotesingle s age was equal to $$17$$ two years ago. What is the sum of their ages this year? (adapted from 2016 Math Kangaroo Problem, Level 1-2, Question \#16)
选项为:A:$$16$$ B:$$17$$ C:$$18$$ D:$$19$$ E:$$21$$ 请回答其中一个选项. | $$21$$ |
If I start with $2$, and begin to count by $$3\textquotesingle$$s, my $50^{}\text{th}$ number will be~\uline{~~~~~~~~~~}~.
选项为:A:$$148$$ B:$$149$$ C:$$150$$ D:$$151$$ E:$$152$$ 请回答其中一个选项. | $$149$$ |
Jucy and Nicole are celebrating their birthdays together. Seven years ago, when Jucy turned $6$ years old, she received a newborn cat as a birthday present. Today the sum of the ages of the two people and the cat is $34$ years. Jucy is~\uline{~~~~~~~~~~}~years younger than Nicole.
选项为:A:$$1$$ B:$$2$$ C:$$3$$ D:$$4$$ 请回答其中一个选项. | $$1$$ |
Bowen has $$40$$ grams 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:$$15$$ grams B:$$12$$ grams C:$$9$$ grams D:$$6$$ grams 请回答其中一个选项. | $$15$$ grams |
Tom goes to the supermarket to buy egg tarts. There are two kinds of egg tarts. One has $$6$$ tarts in the box and the other has $$10$$ tarts in the box. The unit price of the egg tarts is the same. If Tom wants $$76$$ egg tarts, how many boxes does he need at least?~(adapted from 2011 Math Kangaroo Problem, Level 3 - 4, Question \#10)
选项为:A:$$5$$ B:$$8$$ C:$$9$$ D:$$11$$ E:$$13$$ 请回答其中一个选项. | $$8$$ |
A gift store buys some gifts at＄$$125$$ each. It wants to earn＄$$25 $$ for each gift after a discount of $$25 \textbackslash\% $$. What is the selling price before the discount for each gift?
选项为:A:$$160$$ dollars B:$$180$$ dollars C:$$190$$ dollars D:$$200$$ dollars 请回答其中一个选项. | $$200$$ dollars |
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 |
It takes Mary $$30$$ minutes to walk uphill $$300 $$ m from her home to school, but it takes her only $$10$$ minutes to walk from school to home along the same route. What is her average speed, in m/min, for the round trip? (adapted from 2003 AMC 10 Problem, Question \#4)
选项为:A:$$10$$ B:$$30$$ C:$$20$$ D:$$15$$ E:$$12$$ 请回答其中一个选项. | $$15$$ |
If $$6$$ cans of Sweet Stuff Soda all together contain $$96$$ teaspoons of sugar, then there are a total of teaspoons of sugar in $$15$$ cans.
选项为:A:$$192$$ B:$$208$$ C:$$240$$ D:$$270$$ E:$$288$$ 请回答其中一个选项. | $$240$$ |
Twenty-eight students from the fourth grade competed in a math competition. Each student earned a different number of points. The number of students who received more points than Tomek is two times smaller than the number of students who had fewer points than Tomek. In which position did Tomek finish that competition?~ ($2002$~Math Kangaroo Problem, Level $3-4$, Question \#$23$)
选项为:A:$$6$$\textsuperscript{th} B:$10$\textsuperscript{th} C:$8$\textsuperscript{th} D:$9$\textsuperscript{th} E:$7$\textsuperscript{th} 请回答其中一个选项. | $10$\textsuperscript{th} |
January $$1$$, $$1989$$ was a Sunday. January $$1$$, $$1988$$ (a leap year) was a．
选项为:A:Friday B:Saturday C:Sunday D:Monday 请回答其中一个选项. | Friday |
Algebra books cost $$$12.50$$ each, and geometry books cost $$$14$$ each. How much do $$6$$ algebra books and $$5$$ geometry books cost in total?
选项为:A:$$$145.00$$ B:$$$146.50$$ C:$$$150.00$$ D:$$$151.50$$ 请回答其中一个选项. | $$$145.00$$ |
In $$1975$$ it was estimated that there were $$250000$$ lions in Africa. Over $$40$$ years this figure has decreased by $$90\textbackslash\%$$. What is the current estimate for the number of lions in Africa ?
选项为:A:$$25000$$ B:$$100000$$ C:$$160000$$ D:$$225000$$ E:$$275000$$ 请回答其中一个选项. | $$25000$$ |
A test is with a full score of $100$ points. Five students in a group wants to reach an average of $91$ points. If everyone scores a different whole number, the lowest score among them could be~\uline{~~~~~~~~~~}~.
选项为:A:$$60$$ B:$$61$$ C:$$67$$ D:$$70$$ E:$$71$$ 请回答其中一个选项. | $$61$$ |
Jack\textquotesingle s sister is $$22$$ years old, which is $$2$$ less than $$4$$ times Jack\textquotesingle s age. Assume Jack is $$x$$ years old, then．
选项为:A:$$x=4$$ B:$$x=5$$ C:$$x=6$$ D:$$x=8$$ 请回答其中一个选项. | $$x=6$$ |
Jason and Ross are in line to check tickets. There are $36$ people in front of Jason and $16$ people behind. Ross happens to be in the middle of the entire line. How many people are there between Ross and Jason?~(adapted from 2000 Math Kangaroo Problem, Level 3 - 4, Question \#12)
选项为:A:$$18$$ B:$$17$$ C:$$16$$ D:$$15$$ E:$$14$$ 请回答其中一个选项. | $$15$$ |
Amy mixes $$30$$ grams of a $$30\textbackslash\%$$ salt solution and $$20$$ grams of a $$20\textbackslash\%$$ salt solution together. How many grams of water should she add to the mixture to make it a $$10\textbackslash\% $$ solution?
选项为:A:$$70$$ B:$$72$$ C:$$75$$ D:$$80$$ 请回答其中一个选项. | $$80$$ |
$$12$$ dogs are cqually divided into $$3$$ groups, how many dogs are there in each group.
选项为:A:$$3$$ B:$$4$$ C:$$6$$ D:$$2$$ E:$$12$$ 请回答其中一个选项. | $$4$$ |
My pet frog jumps $$3\text{m}$$ per jump. If it wants to jump from one end of a $$100\text{m}$$ field to another, the least number of jumps it will take is．
选项为:A:$$33$$ B:$$34$$ C:$$70$$ D:$$97$$ 请回答其中一个选项. | $$34$$ |
In $$2010$$, the Math Kangaroo competition is taking place in some schools for the $19$\textsuperscript{th}~time. Alice took part in the $10$\textsuperscript{th}~Math Kangaroo when she was $$9$$ years old. In what year was Alice born? (Adapted from 2008 Math kangaroo Problem, Level 3-4, Question \#9)
选项为:A:$$1996$$ B:$$1994$$ C:$$1992$$ D:$$1990$$ E:$$1988$$ 请回答其中一个选项. | $$1992$$ |
Half a loaf of bread costs $$6$$ pence more than one-fourth of a loaf of bread. How many pence does a whole loaf of bread cost?
选项为:A:$$6$$ B:$$12$$ C:$$18$$ D:$$24$$ E:$$30$$ 请回答其中一个选项. | $$24$$ |
Ben has $$9$$ pairs of shoes, of which $$4$$ shoes are red, $$2$$ shoes are bule, and the rest are green. How many pairs of shoes are green?
选项为:A:$$3$$ B:$$6$$ C:$$4$$ D:$$5$$ E:$$7$$ 请回答其中一个选项. | $$6$$ |
Antonette gets $70 \textbackslash\%$ on a 10 -problem test, $80 \textbackslash\%$ on a 20 -problem test and $90 \textbackslash\%$ on a 30 -problem test. If the three tests are combined into one 60 problem test, which percent is closest to her overall score? (2006 AMC 8, Question \#12)
选项为:A:$$40$$ B:$$77$$ C:$$80$$ D:$$83$$ E:$$87$$ 请回答其中一个选项. | $$83$$ |
Rick and Roy each stands at different ends of a straight road that is $$2021$$m long. They run toward each other. Rick\textquotesingle s speed is $$21\text{m/s}$$ and Roy\textquotesingle s speed is $$22\text{m/s}$$. They will meet in~\uline{~~~~~~~~~~}~seconds.
选项为:A:$$35$$ B:$$4$$ C:$$47$$ D:$$50$$ 请回答其中一个选项. | $$47$$ |
You have $12$ green cards and the ratio of your red cards to green cards is $3:2$. How many cards do you have?
选项为:A:$18$ B:$20$ C:$$24$$ D:$30$ 请回答其中一个选项. | $30$ |
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 $80\textbackslash\%$ of the problems she solved alone, but overall $90\textbackslash\%$ of her answers were correct. Zoe had correct answers to $75\textbackslash\%$ 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:$$87.5$$ B:$$90$$ C:$$92.5$$ D:$$95.5$$ E:$$100$$ 请回答其中一个选项. | $$87.5$$ |
Mr. $$A$$ owns a home worth ＄$$10000$$. He sells it to Mr. $$B$$ at a $$10\textbackslash\%$$ profit based on the worth of the house. Mr. $$B$$ sells the house back to Mr. $$A$$ at a $$10\textbackslash\%$$ loss. Then: ($$1951$$ AHSME Problem, Question \#$$5$$)
选项为:A:$$A$$ comes out even B:$$A$$ makes ＄$$1100$$ on the deal C:$$A$$ makes ＄$$1000$$ on the deal D:$$A$$ loses ＄$$900$$ on the deal E:$$A$$ loses ＄$$1000$$ on the deal 请回答其中一个选项. | $$A$$ makes ＄$$1100$$ on the deal |
A $60\textbackslash\%$ alcohol solution contains $120$ grams of water. How many grams of solution are there?
选项为:A:$$200$$ B:$$250$$ C:$$300$$ D:$$400$$ 请回答其中一个选项. | $$300$$ |
A, B, C, D and E sit around a circular table in that order. A starts by saying "$$100$$", B says "$$101$$", C says~"$$102$$" and so on round the table. Who will eventually say"$$2023$$"?
选项为:A:$$$$A B:$$$$B C:$$$$Cain D:$$$$Devi E:$$$$Emily 请回答其中一个选项. | $$$$Devi |
Brown wants to put some board between his books. He has $10$ books in total. If he wants to put one board between every two adjacent books, how many boards does he need to prepare?
选项为:A:$$9$$ B:$$10$$ C:$$11$$ D:$$12$$ E:$$13$$ 请回答其中一个选项. | $$9$$ |
In a class of $$18$$ students, $$6$$ are wearing jeans. What is the ratio of students wearing jeans to students not wearing jeans?
选项为:A:$$1:2$$ B:$$1:3$$ C:$$2:3$$ D:$$2:1$$ 请回答其中一个选项. | $$1:2$$ |
How many two-digit numbers are divisible by $3$ but not by $6$?
选项为:A:$$14$$ B:$$15$$ C:$$17$$ D:$$30$$ E:None of the above 请回答其中一个选项. | $$15$$ |
Water from the first faucet fills the swimming pool in $70$ minutes. Water from each of the two other faucets fills the same swimming pool $3$ times faster. In how many minutes will the swimming pool be filled if all three faucets are opened?
选项为:A:$$210$$ B:$$40$$ C:$$30$$ D:$$20$$ E:$$10$$ 请回答其中一个选项. | $$10$$ |
Chloe and Zoe are both students in Ms. Demeanor\textquotesingle s math class. Last night they each solved half of the problems in their homework assignment alone and then solved the other half together. Chloe had correct answers to $80\textbackslash\%$ of the problems she solved alone, but overall $90\textbackslash\%$ of her answers were correct. Zoe had correct answers to $75\textbackslash\%$ of the problems she solved alone. What was Zoe\textquotesingle s overall percentage of correct answers? (adapted from 2017 AMC 8, Question \#14)
选项为:A:$$87.5$$ B:$$90$$ C:$$92.5$$ D:$$95.5$$ E:$$100$$ 请回答其中一个选项. | $$87.5$$ |
There is an empty tank which needs $29$ bottles of water to fill with. The workers pour $5$ bottles of water during the day, but uses $1$ bottle of water during the night. In how many days can the tank be filled with water?
选项为:A:$$5$$ B:$$6$$ C:$$7$$ D:$$8$$ E:$$9$$ 请回答其中一个选项. | $$7$$ |
The selling price of a sofa set is＄$$6500$$ and the profit percentage is $$30\textbackslash\%$$ for each set sold. If the cost of the sofa set is not changed, what is the profit percentage if the profit is ＄$$1200$$?
选项为:A:$$20\textbackslash\%$$ B:$$24\textbackslash\%$$ C:$$25\textbackslash\%$$ D:$$30\textbackslash\%$$ 请回答其中一个选项. | $$24\textbackslash\%$$ |
Owen sees an archery right after he entered the carnival. After Owen takes 20 shots, he has made $55 \textbackslash\%$ of his shots. After he takes 5 more shots, he raises his percentage to $56 \textbackslash\%$. How many of the last 5 shots did she make?~ (adapted from 2004 AMC 8, Question\#6)
选项为:A:$$1$$ B:$$2$$ C:$$3$$ D:$$4$$ E:$$5$$ 请回答其中一个选项. | $$3$$ |
I read $1$ page of a book on Nov $1$, $2$ pages on Nov $2$, $3$ pages on Nov $3$, and so on. I followed this pattern for the whole month. Altogether, how many pages did I read in November?
选项为:A:$$30$$ B:$$31$$ C:$$465$$ D:$$496$$ 请回答其中一个选项. | $$465$$ |
Chloe and Zoe are both students in Ms. Demeanor\textquotesingle s math class. Last night they each solved half of the problems in their homework assignment alone and then solved the other half together. Chloe had correct answers to $90 \textbackslash\%$ of the problems she solved alone, but overall $84 \textbackslash\%$ of her answers were correct. Zoe had correct answers to $80 \textbackslash\%$ of the problems she solved alone. What was Zoe\textquotesingle s overall percentage of correct answers? (adapted from 2017 AMC 8, Question \#14)
选项为:A:$$79$$ B:$$82$$ C:$$84$$ D:$$86$$ E:$$88$$ 请回答其中一个选项. | $$79$$ |
If $$15^{}\text{th}$$April is Friday, what day of the week is $$1$$\textsuperscript{st~}April ?
选项为:A:Sunday B:Monday C:Wednesday D:Friday E:Saturday 请回答其中一个选项. | Friday |
Grandma made some cheese dumplings and some blueberry dumplings. Altogether, she made $$31$$ dumplings. If she had made $$11$$ more cheese dumplings, then there would be the same number of blueberry dumplings as cheese dumplings. How many cheese dumplings did grandma make?（$$2009$$ Math Kangaroo Problem, Levels $$1-2$$, Question \#$$19$$）
选项为:A:$$10$$ B:$$21$$ C:$$20$$ D:$$15$$ 请回答其中一个选项. | $$10$$ |
A worm is staying at the bottom of a well with a depth of $$13$$ metres. If it climbs up $$4$$ metres in the day time and slips down $$1$$ metre at night, which day will it climb up to the ground?
选项为:A:The $$4$$th day B:The $$5$$th day C:The $$6$$th day D:The $$7$$th day 请回答其中一个选项. | The $$4$$th day |
The volume of a cuboid is $216$. What is the least sum of the length of all its edges?
选项为:A:$$216$$ B:$$32$$ C:$$72$$ D:$$96$$ E:$$120$$ 请回答其中一个选项. | $$72$$ |
The state income tax where Kristin lives is levied at the rate of $$p\textbackslash\%$$ of the first ＄$$28000$$ of annual income plus $$ \left( {p+2} \right) \textbackslash\%$$ of any amount above ＄$$28000$$. Kristin noticed that the state income tax she paid amounted to $$ \left( {p+0.25} \right) \textbackslash\%$$ of her annual income. What was her annual income? ($$2001$$ AMC $$12$$ Problem, Question \#$$3$$)
选项为:A:＄$$28000$$ B:＄$$32000$$ C:＄$$35000$$ D:＄$$42000$$ E:＄$$56000$$ 请回答其中一个选项. | ＄$$32000$$ |
Kate sold $$10$$ dresses and Tasha sold thrice as many dresses as Kate. How many dresses did Tasha sell?
选项为:A:$$30$$ B:$$26$$ C:$$20$$ D:$$42$$ 请回答其中一个选项. | $$30$$ |
My cat snoozes for $$50$$ minutes in each hour. For how many hours a day does my cat snooze?
选项为:A:$$5$$ B:$$10$$ C:$$15$$ D:$$20$$ E:$$50$$ 请回答其中一个选项. | $$20$$ |
In a candy shop, the shopkeeper allows the exchange of $$3$$ sweet wrappers for $$1$$ new sweet. Peter has $$81$$ sweets at first. What is the largest possible number of sweets that Peter could have eaten?
选项为:A:$$119$$ B:$$120$$ C:$$121$$ D:$$122$$ E:Non of the above 请回答其中一个选项. | $$121$$ |
There are $$15$$ roses in a garden, and the number of daisies is $$5$$ more than $6$ times that of roses. How many flowers are there in the garden altogether?
选项为:A:$$95$$ B:$$110$$ C:$$120$$ D:$$135$$ 请回答其中一个选项. | $$110$$ |
The sum of the ages of four children Anil, Benu, Chas and Dave is $$20$$. Dave is $$5$$ years older than Chas, and $$3$$ years older than Benu. Anil is $$3$$ years younger than Chas. How old is Anil? ．
选项为:A:$$1$$ B:$$4$$ C:$$5$$ D:$$6$$ E:$$9$$ 请回答其中一个选项. | $$1$$ |
Allen has a collection of $240$ fossils. Of these, $35$\% are fossilized snail shells. How many fossilized snail shells does Allen have?
选项为:A:$$205$$ B:$$156$$ C:$$84$$ D:$$35$$ 请回答其中一个选项. | $$84$$ |
Daniel had $51$ Lego pieces, he used $42$ pieces to make a mini statue. How many pieces of Lego does Daniel have now?
选项为:A:$$42$$ B:$$19$$ C:$$9$$ D:$$0$$ 请回答其中一个选项. | $$9$$ |
Grandma made some cheese dumplings and some blueberry dumplings. Altogether, she made $$31$$ dumplings. If she had made $$11$$ more cheese dumplings, then there would be the same number of blueberry dumplings as cheese dumplings. How many cheese dumplings did grandma make?（2009 Math Kangaroo Problem, Question \#19）
选项为:A:$$10$$ B:$$21$$ C:$$20$$ D:$$15$$ 请回答其中一个选项. | $$10$$ |
Wendy had $$30$$ stickers. First, she gave Aiden $3$ stickers. Then, she gave Terry $7$ stickers. Now, each of the three people has the same number of stickers. At the beginning, how many stickers did they have in total?
选项为:A:$$120$$ B:$$90$$ C:$$85$$ D:$$60$$ E:$$55$$ 请回答其中一个选项. | $$60$$ |
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