math-eval/TAL-SCQ5K huggingface dataset:
Problem: How should the time half past six in the evening be written? 
Options:
aoVal: A
content: $$16:30$$ 
aoVal: B
content: $$20:30$$ 
aoVal: C
content: $$17:30$$ 
aoVal: D
content: $$06:30$$ 
aoVal: E
content: $$18:30$$ 
Answer: E
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Problem: What is the biggest number of matchsticks to form 6 triangels? 
Options:
aoVal: A
content: $$16$$ 
aoVal: B
content: $$18$$ 
aoVal: C
content: $$20$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math->Fun Math Problems->Matchstick Problems
Source: 其它
Problem: In a riding competition, the horses started at three-minute intervals.  The first horse started at $$10:45$$.  The $$18\text{th}$$ horse took $$13$$ minutes to complete the course.  At what time did the $$18\text{th}$$ horse finish? 
Options:
aoVal: A
content: $$11:12$$ 
aoVal: B
content: $$11:49$$ 
aoVal: C
content: $$11:36$$ 
aoVal: D
content: $$11:52$$ 
aoVal: E
content: $$11:09$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Problem: The square roots of \sqrt{16} are~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: 4 or -4 
aoVal: D
content: 2 or -2 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Magic Square
Source: 其它
Problem: Which equation or inequality describes real numbers whose distance from $-5$ is less than or equal to $13$ units? 
Options:
aoVal: A
content: $\textbar x-5\textbar{} \leq 13$ 
aoVal: B
content: $\textbar x+5\textbar{} \leq 13$ 
aoVal: C
content: $\textbar x-13\textbar{} \leq 5$ 
aoVal: D
content: $\textbar x+13\textbar{} \leq 5$ 
aoVal: E
content: None 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Mathematical Thoughts->Absolute Value
Source: 其它
Problem: The $+$, $−$, $\times$, $\div$ signs have been left out of the following sum:  $6\textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} 3\textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} 10\textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} 2=23$  Which of the following expressions has the correct signs? 
Options:
aoVal: A
content: $6+3 \times 10 − 2$ 
aoVal: B
content: $6 \div 3 + 10 \times 2$ 
aoVal: C
content: $6 \times 3 + 10 \div 2$ 
aoVal: D
content: $6 − 3 + 10 \div 2$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Filling the Symbol in the Equations
Problem: Ben thought of a way to replace numbers with graphs, $$\triangle = 1$$, $$\bigcirc = 3$$, $$\square = 5$$. For example, $$\bigcirc\triangle\square =315$$. What is the code of "$$\triangle\square\square\triangle\bigcirc$$"? 
Options:
aoVal: A
content: $$15113$$ 
aoVal: B
content: $$31135$$ 
aoVal: C
content: $$51153$$ 
aoVal: D
content: $$15513$$ 
aoVal: E
content: $$13315$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning
Problem: Jonathan has $$4$$ regular dice. Each dice has numbers from $$1$$ to $$6$$. Which of the following could not be the sum of the numbers on top of the $$4$$ dice? 
Options:
aoVal: A
content: $$6$$ 
aoVal: B
content: $$11$$ 
aoVal: C
content: $$19$$ 
aoVal: D
content: $$26$$ 
aoVal: E
content: All the above numbers are possible sum 
Answer: D
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning
Source: 其它
Problem: Bud has six number cards: $\boxed{1}, \boxed{2}, \boxed{3}, \boxed{7}, \boxed{8}, \boxed{9}$.  How many cards can she choose at most to ensure that no two of chosen cards sum to $10$? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$4$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle
Source: 其它
Problem: 9. $3$ chocolate cookies, $2$ almond cookies and a strawberry cookie cost $$$41$$. A chocolate cookie cost  $$$2.20 $$ more than a strawberry cookie. A strawberry cookie cost $$$1.10$$ more than an almond cookie. How much did a strawberry cookie cost?~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: $$4.1$$ 
aoVal: B
content: $$5.1$$ 
aoVal: C
content: $$6.1$$ 
aoVal: D
content: $$7.1$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math
Source: 其它
Problem: Nancy, Katie, John, and Reed were reading the same book. They each finished reading $\frac{5}{7}, \frac{5}{9}, \frac{5}{6}$ and $\frac{5}{8}$ of the book, respectively. Who finished reading more pages? 
Options:
aoVal: A
content: Nancy 
aoVal: B
content: Katie 
aoVal: C
content: John 
aoVal: D
content: Reed 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Operational Problem
Source: 其它
Problem: Using $$7$$, $$6$$, $$5$$, $$4$$ in order and addition and subtraction signs we can make $$10$$, as shown below.  $$7-6+5+4=10$$  Fill in the gaps below with either addition or subtraction signs to make $$12$$.  $$7$$~ ~ ~ $$6$$~ ~ ~ $$5$$~ ~ ~ $$4$$~ ~ ~ $$=12$$ 
Options:
aoVal: A
content: $$+$$，$$-$$，$$+$$ 
aoVal: B
content: $$+$$，$$+$$，$$+$$ 
aoVal: C
content: $$-$$，$$-$$，$$-$$ 
aoVal: D
content: $$-$$，$$+$$，$$-$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Filling the Symbol in the Equations
Problem: How many circle cookies are there? 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$3$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math
Source: 其它
Problem: In the calculation, $$1\textasciitilde\textasciitilde2\textasciitilde\textasciitilde3\textasciitilde\textasciitilde4\textasciitilde\textasciitilde5\textasciitilde\textasciitilde6\textasciitilde\textasciitilde7=0$$, you can fill in one of the four operations $$+$$, $$-$$,~$\times$,~$\div$~and brackets in each of the gaps. Which of the following choices is the correct filling? 
Options:
aoVal: A
content: $1+2-3+4-5+6-7=0$ 
aoVal: B
content: $1\times2+\left( 3-4\right)\times5+6-7=0$ 
aoVal: C
content: $\left( 1+2-3\right)\times4\times5\times6\times7=0$ 
aoVal: D
content: $1\times2\times3\times4-5-6-7=0$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)
Source: 其它
Problem: Matt, Will and Tiger are predicting the outcome of a tournament, which only has $$4$$ teams.  \textbf{Matt: "Team $$A$$ will be the $$1$$\textsuperscript{st}, and Team $$B$$ will be the $$4$$\textsuperscript{th}."~}  \textbf{Will: "Team $$B$$ will be the $$2$$\textsuperscript{nd}, and Team $$C$$ will be the $$3$$\textsuperscript{rd}."}  \textbf{Tiger: "Team $$A$$ will be the $$2$$\textsuperscript{nd}, and Team $$D$$ will be the $$4$$\textsuperscript{th}."}  After the tournament, it turns out they are all half-right and half-wrong. What is the ranking of Team $$D$$? 
Options:
aoVal: A
content: $$1$$\textsuperscript{st} 
aoVal: B
content: $$2$$\textsuperscript{nd} 
aoVal: C
content: $$3$$\textsuperscript{rd} 
aoVal: D
content: $$4$$\textsuperscript{th} 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning
Source: 其它
Problem: 2019 AMC 8/ Problem 18  The faces of each of two fair dice are numbered 1, 2, 3, 5, 7 and 8. When the two dice are tossed, what is the probability that their sum will be an even number? 
Options:
aoVal: A
content: $\dfrac{4}{9}$ 
aoVal: B
content: $\dfrac{1}{2}$ 
aoVal: C
content: $\dfrac{5}{9}$ 
aoVal: D
content: $\dfrac{3}{5}$ 
aoVal: E
content: $\dfrac{2}{3}$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics
Source: 其它
Problem: As Hans wrote a problem on the board, he forgot one digit. What he wrote was: $$23+31+2+12=94$$. What digit did he forget to write? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$1$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)
Problem: Which of the following points is in Quadrant $III$? 
Options:
aoVal: A
content: $(5,-5)$ 
aoVal: B
content: $(-5,5)$ 
aoVal: C
content: $(5,5)$ 
aoVal: D
content: $(-5,-5)$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Directions and Coordinates->Coordinates
Source: 其它
Problem: It is $$9:00pm:$$ now, what was the time $$33$$ minutes before? 
Options:
aoVal: A
content: $$9:33pm$$ 
aoVal: B
content: $$8:33pm$$ 
aoVal: C
content: $$8:34am$$ 
aoVal: D
content: $$8:27pm$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem
Source: 其它
Problem: One evening, Sarah started her homework at half past four.  She finished it at twenty minutes to six.  How long did her homework take? 
Options:
aoVal: A
content: $$1$$ hour $$10$$ minutes 
aoVal: B
content: $$1$$ hour $$50$$ minutes 
aoVal: C
content: $$50$$ minutes 
aoVal: D
content: $$1$$ hour $$30$$ minutes 
aoVal: E
content: $$1$$ hour $$20$$ minutes 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Problem: Express~$\dfrac{4}{6}$ in its simplest form. 
Options:
aoVal: A
content: $\dfrac{1}{6}$ 
aoVal: B
content: $\dfrac{2}{3}$ 
aoVal: C
content: $\dfrac{4}{12}$ 
aoVal: D
content: $\dfrac{8}{12}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math
Source: 其它
Problem: $$454\text{g}$$ is the same as $$1\textasciitilde\text{lb}$$ in weight. Hannah has bought a $$5\textasciitilde\text{lb}$$ turkey which needs cooking. The instructions state that it needs to be cooked for $$55\min $$ per $$\text{kg}\textasciitilde+$$ a further $$25\min $$.  Approximately how long does the turkey need to cook for?  Choose the answer. 
Options:
aoVal: A
content: $$2 \frac{1}{2}$$ hours 
aoVal: B
content: $$1 \frac{1}{2}$$ hours 
aoVal: C
content: $$2 \frac{3}{4}$$ hours 
aoVal: D
content: $$2$$ hours 
aoVal: E
content: $$2 \frac{1}{4}$$ hours 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Problem: 15. Stephen is facing east. After turning~\uline{~~~~~~~~~~}~$$^{\circ}$$ in the clockwise direction, he will be facing south-west. 
Options:
aoVal: A
content: $$135$$ 
aoVal: B
content: $$180$$ 
aoVal: C
content: $$165$$ 
aoVal: D
content: $$270$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math
Source: 其它
Problem: Kanga is 1 year and 3 months old now. In how many months will Kanga be 2 years old? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$7$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$9$$ 
Answer: E
Analysis: $$N.A.$$ 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem
Source: 其它
Problem: In the following Cryptarithm, each letter represents $$1$$ one-digit number. Find the three-digit number represented by `$$ABC$$'．  $$\begin{matrix}\& \& 8 \& 8\& \boxed C \textbackslash\textbackslash{} \&\&5\& \boxed B \&4 \textbackslash\textbackslash{} + \&\&\boxed A\&1 \&7 \textbackslash\textbackslash{} \hline \&2~\&0 \&2 \&1\textbackslash\textbackslash{} \end{matrix}$$ 
Options:
aoVal: A
content: $$625$$ 
aoVal: B
content: $$620$$ 
aoVal: C
content: $$602$$ 
aoVal: D
content: $$260$$ 
aoVal: E
content: $$206$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles
Problem: Alice snd Bob picked the marbles from a bag without looking. The bag contains $2$ blue marbles and $1$ red marble. Each picked $1$ marble only. After each saw the colour of their own marble,  Alice said: "I know the colour of your marble!"  If Alice is telling the truth and she is correct, what is the colour of the marble each one got? 
Options:
aoVal: A
content: Alice - Blue, Bob - Blue 
aoVal: B
content: Alice - Red, Bob - Blue 
aoVal: C
content: Alice - Blue, Bob - Red 
aoVal: D
content: Alice - Red, Bob - Red 
aoVal: E
content: None of the above 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning
Source: 其它
Problem: Pip is practicing for a marathon. He starts running at $$9:00$$ am and he stops at $$12:00$$ noon for lunch. After Pip has enough rest, he continues the run at $$2:00$$ pm and finishs the run at $$5:00$$ pm. How long has Pip run in total? 
Options:
aoVal: A
content: $$3$$ hours 
aoVal: B
content: $$5$$ hours 
aoVal: C
content: $$6$$ hours 
aoVal: D
content: $$8$$ hours 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem
Source: 其它
Problem: From $1$ to $40$, How many integers can be chosen at most to ensure that no two of chosen numbers sum to $35$? 
Options:
aoVal: A
content: $$20$$ 
aoVal: B
content: $$22$$ 
aoVal: C
content: $$23$$ 
aoVal: D
content: $$24$$ 
aoVal: E
content: $$25$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Constructing and Proving
Source: 其它
Problem: $$86-3\square=48$$  What is the missing digit? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$9$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)
Problem: Eddie, Joe and Ken measured the height of a building using different methods. They got $\frac{81}{4}$ meters, $20.142857$ meters, and $20\frac{1}{10}$ meters, respectively. Order their results from least to greatest (using their names). 
Options:
aoVal: A
content: Eddie, Joe, Ken 
aoVal: B
content: Joe, Ken, Eddie 
aoVal: C
content: Ken, Joe, Eddie 
aoVal: D
content: Eddie, Ken, Joe 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Mathematical Thoughts->Absolute Value
Source: 其它
Problem: There are $5$ gift boxes of different sizes.  The red box is bigger than the white box.  The yellow box is bigger than the white box.  The black box is smaller than the red box.  The blue box is bigger than the yellow box but smaller than the black one.  Which box is the biggest? 
Options:
aoVal: A
content: The red one. 
aoVal: B
content: The black one. 
aoVal: C
content: The yellow one. 
aoVal: D
content: The white one. 
aoVal: E
content: The black one. 
Answer: A
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Comparing
Source: 其它
Problem: 12.John had thrice as much money as Melissa. After John gave Melissa $$$140$$, they had an equal amount of money left. How much money did each of them have at first? 
Options:
aoVal: A
content: $$140$$ 
aoVal: B
content: $$150$$ 
aoVal: C
content: $$160$$ 
aoVal: D
content: $$170$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math
Source: 其它
Problem: A student always tells the truth on Mondays and Tuesdays but always tells lies on Saturdays. On the other days of the week he tells the truth or tells lies, at random. For six consecutive days he was asked what his first name was, and he gave the following answers, in order: Jack, Bill, Jack, Bill, Peter, Bill. On what day of the week did he answer Peper? 
Options:
aoVal: A
content: Wednesday 
aoVal: B
content: Thursday 
aoVal: C
content: Friday 
aoVal: D
content: Saturday 
aoVal: E
content: Sunday 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning
Source: 其它
Problem: There are some people living on the island of lies. Half of them only tell lies on Wednesday, Friday and Saturday. The other half only tell lies on Tuesday, Thursday and Sunday. One day, all of the people living on the island said that they would tell the truth the next day. What day of the week was that day? 
Options:
aoVal: A
content: Tuesday 
aoVal: B
content: Wednesday 
aoVal: C
content: Friday 
aoVal: D
content: Saturday 
aoVal: E
content: Sunday 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning using Hypothesis->Truth or Lie
Source: 其它
Problem: Put the digits $$0$$, $$1$$, $$2$$ and $$3$$ in the squares and the sum of the formula is $$15$$. which number can\textquotesingle t "$$0$$" be combined with?  $$\square \square +\square \square = 15 $$. 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$1$$ or $$2$$ 
aoVal: E
content: $$2$$ or $$3$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)
Problem: If $1st$ December fall on a Thursday, which day of the week will $7th$ November fall on? 
Options:
aoVal: A
content: Sunday 
aoVal: B
content: Monday 
aoVal: C
content: Tuesday 
aoVal: D
content: Wednesday 
aoVal: E
content: Thursday 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem
Source: 其它
Problem: It is $$11:33am$$ now, what will be the time $$2$$ hours $$14$$ minutes later? 
Options:
aoVal: A
content: $$11:49am$$ 
aoVal: B
content: $$1:14pm$$ 
aoVal: C
content: $$1:33am$$ 
aoVal: D
content: $$1:47pm$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem
Source: 其它
Problem: 2020 AMC 8/ Problem 23  Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed? 
Options:
aoVal: A
content: $$120$$ 
aoVal: B
content: $$150$$ 
aoVal: C
content: $$180$$ 
aoVal: D
content: $$210$$ 
aoVal: E
content: $$240$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics
Source: 其它
Problem: Andrew takes $$15$$ minutes to wash up in the morning, $$20$$ minutes to have his breakfast, $$6$$ minutes to pack his school bag, $$8$$ minutes to walk to his friend\textquotesingle s house before going to the school together. From his friend\textquotesingle s house to the school, it will need $$26$$ minutes. The school rules require you to arrive at $$8.00 \rm{a.m.}$$ every morning, what\textquotesingle s the latest time he needs to leave his house? 
Options:
aoVal: A
content: $$6.45 \rm{a.m.}$$ 
aoVal: B
content: $$7.00 \rm{a.m.}$$ 
aoVal: C
content: $$7.26 \rm{a.m.}$$ 
aoVal: D
content: $$7.34 \rm{a.m.}$$ 
aoVal: E
content: None of the above 
Answer: C
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem
Problem: 9.What is the size of $$\angle AOB$$?~\uline{~~~~~~~~~~}~$$^{\circ}$$ 
Options:
aoVal: A
content: $$61$$ 
aoVal: B
content: $$63$$ 
aoVal: C
content: $$117$$ 
aoVal: D
content: $$119$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math
Source: 其它
Problem: A train leaves London at $17:13$ and arrives at Bristol at $19:09$, having been delayed by $11$ minutes owing to the wrong type of snow.  How long does the journey normally take when there are no delays? 
Options:
aoVal: A
content: $2$ hours $7$ minutes 
aoVal: B
content: $126$ minutes 
aoVal: C
content: $1$ hour $45$ minutes 
aoVal: D
content: $115$ minutes 
aoVal: E
content: $2$ hours $16$ minutes 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Problem: How many $3$-digit numbers can be formed using the digits $0,1,2$ if no digit can be repeated? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$9$$ 
aoVal: E
content: $$18$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (vertical forms)->Counting Different Ways to Fill Number Puzzles 
Source: 其它
Problem: David wants to prepare a meal with $$5$$ dishes using a stove with only $$2$$ burners. The times needed to cook the $$5$$ dishes are $$40$$ min, $$15$$ min, $$35$$ min, $$10$$ min and $$45$$ min. What is the shortest time in which he can do it? (He may only remove a dish from the stove when it is done cooking.) (2017 Math Kangaroo Problem, Level 3-4, Question \#15) 
Options:
aoVal: A
content: $$60$$ min 
aoVal: B
content: $$70$$ min 
aoVal: C
content: $$75$$ min 
aoVal: D
content: $$80$$ min 
aoVal: E
content: $$85$$ min 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Source: 其它
Problem: Amy started cooking at $$11:10$$ A.M.. After she cooked, she had eating for an hour and 15 minutes, and it was $2:25$ P.M. How long had she cooked? 
Options:
aoVal: A
content: $$1$$ h $$15$$ min 
aoVal: B
content: $$1$$ h $$25$$ min 
aoVal: C
content: $$1$$ h $$50$$ min 
aoVal: D
content: $$2$$ h 
aoVal: E
content: $$2$$ h $$10$$ min 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem
Source: 其它
Problem: We place the signs $$+$$, $$-$$ and $$=$$ between the digits: $$4$$ $$8$$ $$3$$ $$3$$ $$6$$ $$9$$ in such a way that an equality is made. The sequence of the signs is: ． 
Options:
aoVal: A
content: $$+$$, $$-$$, $$=$$ 
aoVal: B
content: $$-$$, $$+$$, $$=$$ 
aoVal: C
content: $$+$$, $$+$$, $$=$$ 
aoVal: D
content: $$+$$, $$=$$, $$-$$ 
aoVal: E
content: $$-$$, $$=$$, $$+$$ 
Answer: E
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Adjacent Numbers can be formed into Multi-Digit
Problem: Tom is having a race with $9$ other people. If he just went past Jerry who was in $5th$ place, which position is Tom in right now? 
Options:
aoVal: A
content: $$1st$$ 
aoVal: B
content: $$3rd$$ 
aoVal: C
content: $$4th$$ 
aoVal: D
content: $$5th$$ 
aoVal: E
content: $$6th$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning
Source: 其它
Problem: ~\uline{~~~~~~~~~~}~$\div4\textbackslash{} =\textbackslash{} 8\textbackslash{} R1$ 
Options:
aoVal: A
content: $$32$$ 
aoVal: B
content: $$33$$ 
aoVal: C
content: $$34$$ 
aoVal: D
content: $$35$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math
Source: 其它
Problem: From $1$ to $40$, how many integers must be chosen at least to ensure that there are two of chosen numbers sum to $35$? 
Options:
aoVal: A
content: $$21$$ 
aoVal: B
content: $$23$$ 
aoVal: C
content: $$24$$ 
aoVal: D
content: $$25$$ 
aoVal: E
content: $$26$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Constructing and Proving
Source: 其它
Problem: It is $$13:48$$ now, what will be the time $$75$$ minutes later? 
Options:
aoVal: A
content: $$1:123pm$$ 
aoVal: B
content: $$1:03pm$$ 
aoVal: C
content: $$3:25pm$$ 
aoVal: D
content: $$3:03pm$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem
Source: 其它
Problem: Tucker must finish his homework at $$16:20$$ If it takes him $$129$$ minutes to finish the homework, at what time should he start to do his homework? 
Options:
aoVal: A
content: $$15:29$$ 
aoVal: B
content: $$14:20$$ 
aoVal: C
content: $$14:11$$ 
aoVal: D
content: $$18:49:$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem
Source: 其它