math-eval/TAL-SCQ5K huggingface dataset:
Problem: Ellis\textquotesingle s Eel Emporium contains a large tank holding three different types of eel: electric eels, moray eels and freshwater eels. A notice on the tank reads as follows:  All the eels are electric eels except for $$12$$  All the eels are moray eels except for $$14$$  All the eels are freshwater eels except for $$16$$  How many eels are in the tank? 
Options:
aoVal: A
content: $$42$$ 
aoVal: B
content: $$33$$ 
aoVal: C
content: $$24$$ 
aoVal: D
content: $$21$$ 
aoVal: E
content: $$20$$ 
Answer: D
Analysis: Let the number of electric eels be $$x$$, the number of moray eels be $$y $$ and the number of freshwater eels be $$z$$. The information on the notice tells us that $$y + z = 12$$, $$x + z = 14$$ and $$x + y = 16$$. When you add these three equations, you obtain $$2x + 2y + 2z = 42$$ and hence $$x + y + z = 21$$. Therefore the number of eels in the tank is $$21$$. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems
Problem: Tom and Ben played a quiz game. $$2$$ points for a correct answer. Tom got $$5$$ questions right, Ben got $$8$$ questions right. How many more points than Ben did Tom get?~(adapted from $$2021$$ Math kangaroo, Level $$1-2$$, Question \#$$14$$) 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$10$$ 
aoVal: E
content: $$12$$ 
Answer: B
Analysis: August got $$5\times2=10$$ points, and Ben got $$8\times2=16$$ points.  $$16-10=6$$ 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules
Source: 其它
Problem: Farmer Baar has 36 sheep, some pink and the rest white. There are twice as many pink sheep as white sheep. How many of the sheep are pink? 
Options:
aoVal: A
content: $$10$$ 
aoVal: B
content: $$12$$ 
aoVal: C
content: $$20$$ 
aoVal: D
content: $$24$$ 
aoVal: E
content: $$30$$ 
Answer: D
Analysis: $36\div (1+2)=12, 12\times2=24$ 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple->Sum and Multiple of Two Variables
Source: 其它
Problem: John is 33 years old. His three sons are 5, 6 and 10 years old. In how many years will the three sons together be as old as their father? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$10$$ 
aoVal: E
content: $$12$$ 
Answer: B
Analysis: Let x be the number of years needed for the ages of the three sons sum up to be equal to their dad\textquotesingle s age.  Their dad\textquotesingle s age is then 33+x, while the sum of the sons\textquotesingle{} age is  (5+x) x (6+x)+(10+x)=21+3x.  We have the following equation:  21+3x = 33+x  2x = 12  x = 6 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems
Source: 其它
Problem: In Grade $3$, Amy\textquotesingle s height was $136$ cm. When she was Grade $4$, the doctor said that her height was $15$cm taller than last year. What was her height in Grade $4$? (adapted from $$2019$$ Math kangaroo Problems, Level $$1-2$$, Question \#$$3$$) 
Options:
aoVal: A
content: $15$ cm 
aoVal: B
content: $137$ cm 
aoVal: C
content: $151$ cm 
aoVal: D
content: $161$ cm 
aoVal: E
content: $167$ cm 
Answer: C
Analysis: $136+15=151$ cm 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction
Source: 其它
Problem: Blii and Elsa went to see a movie together and sat in the same row. Ela was in the sixth row counting from the front of the room and Elsa was seated in the fourteenth counting from the end. How many rows in their room? (Adapted from 2001 Math Kangaroo Problem, Level 3-4, Question \#13) 
Options:
aoVal: A
content: $$8$$ 
aoVal: B
content: $$9$$ 
aoVal: C
content: $$19$$ 
aoVal: D
content: $$20$$ 
aoVal: E
content: $$21$$ 
Answer: C
Analysis: $6 + 14 - 1 = 19$ 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number According to the Position of Two Characters in a Line
Problem: Several people buy a boardgame together. If each person pays $60$ dollars, $60$ more dollars are needed for the payment. If each person pays $70$ dollars, $10$ dollars are remaining. How much is the boardgame in dollars? 
Options:
aoVal: A
content: $$600$$ 
aoVal: B
content: $$480$$ 
aoVal: C
content: $$690$$ 
aoVal: D
content: $$550$$ 
aoVal: E
content: $$720$$ 
Answer: B
Analysis: $$(60+10)\div (70-60)=7$$  $$60\times7+60=480$$ 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems
Problem: Farmer Dunphy has $$100$$ metres of fencing.  He wants to make a closed rectangular pen.  He uses a long wall for one of the sides.  Each side of the pen is a whole number in metres.  What is the largest area that the pen can be? 
Options:
aoVal: A
content: $$125\text{m}^{2}$$ 
aoVal: B
content: $$625\text{m}^{2}$$ 
aoVal: C
content: $$1000\text{m}^{2}$$ 
aoVal: D
content: $$1250\text{m}^{2}$$ 
aoVal: E
content: $$2500\text{m}^{2}$$ 
Answer: D
Analysis: $a+2b=100$, when $$a=2b=50$$, the largest area is $$50\times (50\div 2)=1250$$ m\textsuperscript{2}. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems Combined with Geometry->Tile Word Problems
Problem: How many fingers are there on a dozen pairs of gloves if each glove has $$5$$ fingers? 
Options:
aoVal: A
content: $$24$$ 
aoVal: B
content: $$30$$ 
aoVal: C
content: $$60$$ 
aoVal: D
content: $$120$$ 
Answer: D
Analysis: There are $$2\times5 =10$$ fingers on a pair of gloves. $$\text{A}$$ dozen pairs have $$12 \times 10 = 120$$. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division
Problem: Kevin got $$80\textbackslash\%$$ of the problems correct on a $$25-$$problem test, $$ 90\textbackslash\%$$ on a $$40-$$problem test, and $$70\textbackslash\%$$ on a $$10-$$problem test. What percent of all the problems did Kevin answer correctly? (2010 AMC8 Problem, Question \#9) 
Options:
aoVal: A
content: $$64$$ 
aoVal: B
content: $$75$$ 
aoVal: C
content: $$80$$ 
aoVal: D
content: $$84$$ 
aoVal: E
content: $$86$$ 
Answer: D
Analysis: Ryan answered $$(0.8)(25)=20$$ problems correct on the first test, $$(0.9)(40)=36$$ on the second, and $$(0.7)(10)=7$$ on the third. This amounts to a total of $$ 20+36+7=63$$ problems correct. The, total number of problems is $$25+40+10=75$$.Therefore, the percendage is $$\frac {63}{75}\to(\rm D)84$$. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Rate
Problem: A teacher distributes scorecards to students. If everyone gets $3$ cards, there will be a shortage of $12$ cards. If everyone gets $2$ cards, all these cards will just be divided. Then, how many students are there in total? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$10$$ 
aoVal: D
content: $$12$$ 
Answer: D
Analysis: If $2-1=1$ fewer card is given to students, the situation would transfer from \textquotesingle a shortage of $12$ cards\textquotesingle~ to \textquotesingle all cards are just divided\textquotesingle.  So, there are in total $12$ students. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems->Basic Distribution Problems
Problem: SASMO 2015 P2 Q5  Today, Wednesday, 8th of April 2015, is the day of the SASMO competition and your friend says tha the Singapore Math Kangaroo Contest was 14 days ago. On which day was the SMKC? 
Options:
aoVal: A
content: 23rd of March, Monday 
aoVal: B
content: 24th of March, Tuesday 
aoVal: C
content: 25th of March, Wednesday 
aoVal: D
content: 26th of March, Thursday 
aoVal: E
content: 27th of March, Friday 
Answer: C
Analysis: Draw table. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time
Source: 其它
Problem: Suppose $20 \textbackslash\%$ of $x$ equals $30 \textbackslash\%$ of $y$. What percentage of $y$ is $x$ ? (adapted from 2020 AMC 8, Question 15) 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$35$$ 
aoVal: C
content: $$75$$ 
aoVal: D
content: $150$ 
aoVal: E
content: $$300$$ 
Answer: D
Analysis: Since $20 \textbackslash\%=\frac{1}{5}$, multiplying the given condition by 5 shows that $x$ is $30 \cdot 5=(\mathbf{C}) 150$ percent of $y$. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems
Source: 其它
Problem: A shop purchased some tennis rackets at ＄$$100$$ each, and then sold them at ＄$$150$$ each. How much did the shopkeeper earn for $$10$$ rackets? 
Options:
aoVal: A
content: ＄$$200$$ 
aoVal: B
content: ＄$$250$$ 
aoVal: C
content: ＄$$300$$ 
aoVal: D
content: ＄$$500$$ 
Answer: D
Analysis: $$(150-100)\times 10 = 500$$. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method
Problem: Jack bought a batch of goods that he hoped to earn a $$50\textbackslash\%$$ profit after selling them. On the first day, he sold $$60\textbackslash\%$$ of his goods at a profit of $$50\textbackslash\%$$. On the second day, he sold all remaining goods for a discount. If the total profit is $$76\textbackslash\%$$ of the planned profit, what was the discount rate? 
Options:
aoVal: A
content: $$20\textbackslash\%$$ 
aoVal: B
content: $$21\textbackslash\%$$ 
aoVal: C
content: $$22\textbackslash\%$$ 
aoVal: D
content: $$24\textbackslash\%$$ 
Answer: A
Analysis: Let the cost for the batch of goods be $$m$$ dollars.  Jack finally earned: $$m\times 50\textbackslash\%\times 92\textbackslash\%=0.38m$$.  On the first day he earned: $$m\times 60\textbackslash\%\times 50\textbackslash\%=0.30m$$.  Profit for the second day: $$0.38m-0.30m=0.08m$$.  Profit rate for the second day: $$\frac{0.08m}{\left( m-0.6m \right)}=20\textbackslash\%$$.  Percentage discount: $$1-\frac{\left( 1+20\textbackslash\% \right)}{\left( 1+50\textbackslash\% \right)}=20\textbackslash\%$$. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems
Problem: Paul has $13$ books, and Jenny has $6$ more books than Paul. How many books do Paul and Jenny have together? 
Options:
aoVal: A
content: $$20$$ 
aoVal: B
content: $$15$$ 
aoVal: C
content: $$22$$ 
aoVal: D
content: $$23$$ 
aoVal: E
content: $$32$$ 
Answer: E
Analysis: Jenny has $$13 + 6 = 19$$ books. So, there are $13 + 19 = 32$ books in total. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules
Source: 其它
Problem: In the land of Seuss, a plate of green eggs costs twice as much as a plate of ham. If a plate of ham costs $$5$$￠, how much would $$1$$ pay for $$2$$ plates of green eggs and $$3$$ plates of ham? 
Options:
aoVal: A
content: $$40$$￠ 
aoVal: B
content: $$35$$￠ 
aoVal: C
content: $$30$$￠ 
aoVal: D
content: $$25$$￠ 
Answer: B
Analysis: Since a plate of green eggs costs twice as much as a plate of ham, a plate of the eggs costs $$10$$￠. The cost of $$2$$ plates of eggs and $$3$$ plates of ham is $$2\times 10$$￠$$+3\times 5$$￠$$=20$$￠$$+15$$￠$$=35$$￠. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems
Problem: The sum of $$2$$ positive whole numbers is $$3$$ times their difference. When the larger is divided by the smaller, the quotient is． 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$5$$ 
Answer: A
Analysis: The sum must be a multiple of $$3$$. There are many examples, e.g., $$2\And 1$$, $$4\And 2$$, $$10\And 5$$, etc. The quotient is always $$2$$. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple
Problem: At the 2018 Tompkins County Fair a vendor is offering a "fair special" on shoes. If you buy one pair of shoes at the regular price of $\textbackslash$ 80$, you get a second pair at a $34\textbackslash\%$ discount, and a third pair at half the regular price. James took advantage of the "fair special" to buy three pairs. What percentage of the $\textbackslash$ 240$ regular price did he save? (adapted from 2013 AMC 8, Question \#12) 
Options:
aoVal: A
content: $$28$$ 
aoVal: B
content: $$30$$ 
aoVal: C
content: $$36$$ 
aoVal: D
content: $$38$$ 
aoVal: E
content: $$40$$ 
Answer: A
Analysis: First, the amount of money one will pay for three hats without the discount $=\textbackslash$ 240$. Then, find the amount of money using the discount: $80+0.66\times 80+\frac{1}{2} \times 80=\textbackslash$ 172.8$. Finding the percentage yields $\frac{172.8}{240}=72\textbackslash\%$ To find the percent saved, we have $100 \textbackslash\%-72\textbackslash\%= 28\textbackslash\%$ 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems
Source: 其它
Problem: I had $$3$$ dozen socks in my drawer, but I lost $$2$$ pairs. How many socks do I now have in my drawer? 
Options:
aoVal: A
content: $$32$$ 
aoVal: B
content: $$34$$ 
aoVal: C
content: $$36$$ 
aoVal: D
content: $$40$$ 
Answer: A
Analysis: I had $$3$$ dozen socks in my drawer, which is $$36$$ socks. When I lost $$2$$ pairs, I lost $$4$$ socks, so I had $$32$$ socks left. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction
Problem: Mike and Jack compete in the long jump. Mike jumps twice as far as Jack once. Mike jumps three times. How many times can jack jump the distance equal to Mike？(adapted from $$2008$$ Math kangaroo Problems, Level $$1-2$$, Question \#$$6$$) 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$4$$ 
aoVal: E
content: $$5$$ 
Answer: B
Analysis: We can imagine the distance of Jack\textquotesingle s long jump as $1$, and the distance of Mike\textquotesingle s long jump as $2$. The distance that Mike jumps three times is $2$$\times$$3$=$6$.  ~Jack needs to jump $6$$\div$$1=$$6$ times. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method
Problem: NBA playoffs are held annually. The $62$\textsuperscript{nd~}NBA playoffs were held in $2008$. When Cindy was $7$ years old, the $66$\textsuperscript{th}~NBA playoffs were held. How old is Cindy in $2022$? 
Options:
aoVal: A
content: $$14$$ 
aoVal: B
content: $$15$$ 
aoVal: C
content: $$16$$ 
aoVal: D
content: $$17$$ 
aoVal: E
content: $$18$$ 
Answer: D
Analysis: $66-62+2008=2012$  $7+(2022-2012)=17$ 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems
Source: 其它
Problem: Rina bought a handbag for＄$$60$$ at a discount of $$20\textbackslash\%$$. Ana paid＄$$67.5$$ for the same handbag. What was the discount rate given to Ana? 
Options:
aoVal: A
content: $$10\textbackslash\%$$ 
aoVal: B
content: $$12\textbackslash\%$$ 
aoVal: C
content: $$15\textbackslash\%$$ 
aoVal: D
content: $$18\textbackslash\%$$ 
Answer: A
Analysis: Original price: $$60\div \left( 1-20\textbackslash\% \right)=75$$.  Discount for Ana: $$\left( 75-67.5 \right)\div 75=10\textbackslash\%$$. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts
Problem: SASMO 2014 P2 Q5  What number between 37 and 47 is exactly divisible by both 2 and 3? 
Options:
aoVal: A
content: $$38$$ 
aoVal: B
content: $$39$$ 
aoVal: C
content: $$42$$ 
aoVal: D
content: $$44$$ 
aoVal: E
content: $$45$$ 
Answer: C
Analysis: 6 x 7 = 42 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division
Source: 其它
Problem: If each fork costs ＄$$6$$, each spoon costs ＄$$7$$, and each knife costs ＄$$8$$, what is the total cost of $$3$$ forks, $$4$$ spoons, and $$5$$ knives? 
Options:
aoVal: A
content: ＄$$40$$ 
aoVal: B
content: ＄$$46$$ 
aoVal: C
content: ＄$$80$$ 
aoVal: D
content: ＄$$86$$ 
Answer: D
Analysis: $$3$$ forks cost ＄$$6\times3 =$$＄$$18$$.  $$4$$ spoons cost ＄$$7\times4 =$$＄$$28$$.  $$5$$ knives cost ＄$$8\times5 = $$＄$$40$$.  They cost a total of ＄$$18+$$＄$$28+$$＄$$40 =$$＄$$86$$. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method
Problem: A given month has $$31$$ days, and it has four Mondays and four Thursdays. What day of the week is the $$20^{\rm th}$$ of this month? 
Options:
aoVal: A
content: $$$$Wednesday$$$$. 
aoVal: B
content: Thursday 
aoVal: C
content: Friday 
aoVal: D
content: Sunday 
Answer: A
Analysis: It implies that there are four Mondays, four Tuesdays, four Wednesdays, and four Thursdays. Similarly, there are five Fridays, five Saturdays, and five Sundays. The first day of the month therefore must be a Friday. $$20\div7=2\text{ R }6$$. The $$20^{\rm th}$$ day of this month is a Wednesday, which is the $$6^{\rm th}$$ day after Friday, inclusive. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time
Problem: Grandpa suggested dividing all the peanuts between the family members in the following way: one person would get $5$ kilos, two people would get $4$ kilos each, four people would get $2$ kilos each, one person would get $6$ kilos, and one person would not get any peanuts. Grandma suggested dividing the peanuts equally among all of the family members. How many people would get more peanuts in grandma\textquotesingle s suggestion than grandpa\textquotesingle s? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$5$$ 
aoVal: D
content: $$6$$ 
aoVal: E
content: $$7$$ 
Answer: C
Analysis: Grandma\textquotesingle s suggestion: $(1\times 5 + 2\times 4+4\times 2+1\times 6+1\times 0)\div(1+2+4+1+1) = 27\div9=3$  Thus, there are $4+1=5$ people get more peanuts. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems 
Source: 其它
Problem: Anna is $$10$$ years old and the age of her mother is $$4$$ times that of Anna. How old will Anna\textquotesingle s mother be when Anna\textquotesingle s mother is twice as old as Anna? (Math kangaroo Problem, Level $$5-6$$) 
Options:
aoVal: A
content: $$40$$ 
aoVal: B
content: $$50$$ 
aoVal: C
content: $$60$$ 
aoVal: D
content: $$70$$ 
aoVal: E
content: $$80$$ 
Answer: C
Analysis: The age difference between them is $(4-1)\times10=30$, which stays the same forever. Then, when Anna\textquotesingle s mother is twice as old as Anna, Anna should be $30$ years old, then her mom should be $30\times2=60$. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Varying Multiples in Age Problems
Source: 其它
Problem: If $$2$$ watermelons can serve $$15$$ people, I need  watermelons for $$60$$ people. 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$12$$ 
Answer: C
Analysis: If $$2$$ melons can serve $$15$$ people, I need $$4\times2=8$$ melons for $$4\times15=60$$ people. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio
Problem: On Kellin\textquotesingle s $$13$$th birthday, Allen was four times her age. On Kellin\textquotesingle s $$24$$th birthday, how old was Allen? 
Options:
aoVal: A
content: $$39$$ 
aoVal: B
content: $$44$$ 
aoVal: C
content: $$ 52 $$ 
aoVal: D
content: $$ 63 $$ 
aoVal: E
content: $$ 74$$ 
Answer: D
Analysis: On Kellin\textquotesingle s $$13$$th birthday, Allen was four times her age, that is $$52$$. It is then eleven years until Kellin\textquotesingle s $$24$$th birthday, so Allen\textquotesingle s age at that time was $$52 +11 =63$$. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems
Problem: A glass contains $$240$$ $$\rm ml$$ of water. The water takes up $$\frac 23$$ of the volume of the glass. What is the volume of the glass, in milliliters? 
Options:
aoVal: A
content: $$60$$ 
aoVal: B
content: $$100$$ 
aoVal: C
content: $$120$$ 
aoVal: D
content: $$270$$ 
aoVal: E
content: $$360$$ 
Answer: E
Analysis: $$240\div \frac 23=360$$. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base
Problem: At the pumpkin festival, Mike brought a $10$ pounds pumpkin. Mary\textquotesingle s pumpkin weighed $5$ pounds more than Mike\textquotesingle s. How many pounds is Mary\textquotesingle s pumpkin？(adapted from $$2009$$ Math kangaroo Problems, Level $$1-2$$, Question \#$$6$$) 
Options:
aoVal: A
content: $$28$$ 
aoVal: B
content: $$16$$ 
aoVal: C
content: $$18$$ 
aoVal: D
content: $$20$$ 
aoVal: E
content: $$15$$ 
Answer: E
Analysis: Mary\textquotesingle s pumpkin weighs $5$ pounds more than Mike\textquotesingle s, so it\textquotesingle s $10 + 5 = 15$ pounds. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction
Problem: Water makes up $$84\textbackslash\%$$ of the weight of Kubus the Camel when he is thirsty. After he drinks, Kubus weighs $$800$$ kg and water makes up $$85\textbackslash\%$$ of his weight. What is the weight of Kubus the Camel when he is thirsty? ($$2001$$ Math Kangaroo Problem, Level $$9-10$$, Question \#$$16$$) 
Options:
aoVal: A
content: $$672$$ kg 
aoVal: B
content: $$680$$ kg 
aoVal: C
content: $$715$$ kg 
aoVal: D
content: $$720$$ kg 
aoVal: E
content: $$750$$ kg 
Answer: E
Analysis: The ratio between the thirsty Kubus and the water he drank: $$(100-85):(85-84)=15:1$$.  So, the weight of the thirsty Kubus is: $$800 \times \frac{15}{15+1}=750$$ kg. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base
Problem: Arthur decided to lose weight. On the first month, he lost $2$ kg. He decided that each month he would be losing twice as much kilograms as the month before. How many kilograms did Arthur lose in total in the first three monthes? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$12$$ 
aoVal: E
content: $$14$$ 
Answer: E
Analysis: $2 + 4 + 8 = 14$ 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Geometric Progression
Source: 其它
Problem: How many tens must be added to $$215$$ to make $$985$$?~\uline{~~~~~~~~~~}~tens 
Options:
aoVal: A
content: $$770$$ 
aoVal: B
content: $$77$$ 
aoVal: C
content: $$120$$ 
aoVal: D
content: $$1200$$ 
Answer: B
Analysis: $$985-215=770$$  $$770\div 10=77$$ 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Ratio Word Problems with Invariant Sums
Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Addition and Subtraction of Whole Numbers->Adding and Subtracting within 10000->Subtraction of 3-digit Numbers
Problem: Determine whether 2008 is a common year or a leap year. 
Options:
aoVal: A
content: a common year 
aoVal: B
content: a leap year 
Answer: B
Analysis: $2008\div4=502$, so 2008 is a leap year. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time->Period of Dates
Problem: A $$15\textbackslash\%$$ sugar solution contains $$18$$ grams of pure sugar. How many grams of solution are there? 
Options:
aoVal: A
content: $$90$$ grams 
aoVal: B
content: $$100$$ grams 
aoVal: C
content: $$120$$ grams 
aoVal: D
content: $$150$$ grams 
Answer: C
Analysis: $$18\div15\textbackslash\% = 120$$ grams. 
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems