math-eval/TAL-SCQ5K huggingface dataset:
Problem: Amy wants to set a $4-$digit password, and she uses the following rules:  The first digit is the least composite number, and the second digit is both an even number and a prime number. The third digit is the least odd number and the last digit is both an odd number and a composite number.  What is her password? 
Options:
aoVal: A
content: $$4219$$ 
aoVal: B
content: $$4239$$ 
aoVal: C
content: $$4416$$ 
aoVal: D
content: $$4437$$ 
aoVal: E
content: $$4426$$ 
Answer: A
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers
Problem: Which one of the following numbers is not divisible by $$99$$? 
Options:
aoVal: A
content: $$56034$$ 
aoVal: B
content: $$3861$$ 
aoVal: C
content: $$9504$$ 
aoVal: D
content: $$18257$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules->Simple Questions of Division without Remainders
Problem: In a certain mumber, the first digit is greater than the second digit by $$2$$, and the second digit is greater than the third digit by $$3$$. It is one of the numbers listed below. What number is this? ($$2007$$ Math Kangaroo Problem, Level $$1-2$$, Question \#$$19$$) 
Options:
aoVal: A
content: $$53$$ 
aoVal: B
content: $$530$$ 
aoVal: C
content: $$233$$ 
aoVal: D
content: $$521$$ 
aoVal: E
content: $$431$$ 
Answer: B
Analysis: N/A.　 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Questions Involving Applying Place Value Principle
Problem: There are $$45$$ students in Year $$3$$. One out of nine participated in the debate. How many students did~not participate in the debate? 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$9$$ 
aoVal: C
content: $$35$$ 
aoVal: D
content: $$40$$ 
aoVal: E
content: $$42$$ 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Lane cut a disc~with a radius of $$12 cm$$ from the middle. What is the circumference of each half disc after cutting?($\pi=3$) 
Options:
aoVal: A
content: $$54 cm$$ 
aoVal: B
content: $$60 cm$$ 
aoVal: C
content: $$64 cm$$ 
aoVal: D
content: $$86 cm$$ 
aoVal: E
content: $$99 cm$$ 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Putting these lines~$\left\textbar{} \right\textbar$ round a number or calculation makes sure the answer is positive; for example both $\left\textbar{} 8\right\textbar$~and $\left\textbar{} -8\right\textbar$~ would give the answer $8$.What is the answer to:$\left\textbar{} 4-20\right\textbar$ 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$20$$ 
aoVal: C
content: $$16$$ 
aoVal: D
content: $$24$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits
Problem: What is the value of the digit $1$ in the number $6543.2109$. 
Options:
aoVal: A
content: t\emph{e}n 
aoVal: B
content: one tenth 
aoVal: C
content: one hundred 
aoVal: D
content: one hundredth 
aoVal: E
content: One thousandth 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases
Problem: Which of these numbers is exactly divisible by $$2$$ and $$8$$? 
Options:
aoVal: A
content: $$18$$ 
aoVal: B
content: $$28$$ 
aoVal: C
content: $$32$$ 
aoVal: D
content: $$42$$ 
aoVal: E
content: $$52$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules->Simple Questions of Division without Remainders
Problem: \textbf{If he pressed the remote a total of 9 times throughout the day, was the TV on or off at the end of the day?} 
Options:
aoVal: A
content: On 
aoVal: B
content: Off 
aoVal: C
content: I dont know 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers
Source: 其它
Problem: Elmo is packing $$107$$ cookies. He wants to put $$5$$ cookies in each plastic bag. How many cookies will not be packed into plastic bags? 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$1$$ 
aoVal: C
content: $$2$$ 
aoVal: D
content: $$3$$ 
aoVal: E
content: $$4$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules
Source: 其它
Problem: Fifteen people play a one-on-one knockout tournament. How many games will be played to determine the winner? ． 
Options:
aoVal: A
content: $$5$$ games 
aoVal: B
content: $$14$$ games 
aoVal: C
content: $$16$$ games 
aoVal: D
content: $$49$$ games 
aoVal: E
content: $$50$$ games 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition
Problem: $$\boxed{1}\textasciitilde\textasciitilde\boxed{2}\textasciitilde\textasciitilde\boxed{3}\textasciitilde\textasciitilde\boxed{4}$$  Jane uses these four number cards to make two 2-digit numbers and works out the sum.  $$\square\textasciitilde\textasciitilde\square+\square\textasciitilde\textasciitilde\square$$  How many different sums can she get? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$12$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers->Complex Forming Numbers (with special requirements)
Problem: Issy tosses a fair coin four times. She gets Heads, Heads, Heads, Tails. If she tosses it afifth time, is she more likely to get Heads or Tails? 
Options:
aoVal: A
content: equally likely 
aoVal: B
content: H\emph{e}ads 
aoVal: C
content: T\emph{a}ils 
aoVal: D
content: not enough information 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Typical Probability Problems->Tossing Coins
Problem: The five symbols $$\bigcirc$$, $$\triangle$$, $$\diamond$$, $$\star$$ and $$\oplus$$ used in the equations below represent different digits.  $$\bigcirc + \bigcirc + \bigcirc = \triangle$$  $$\diamond + \diamond + \diamond = \oplus$$  $$\triangle + \oplus = \star$$  What is the value of $$\star$$? 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$6$$ 
aoVal: E
content: $$9$$ 
Answer: E
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)
Problem: 6.Pip wants you to help him choose his outfit. A top, a pair of pants and shoes are a must however a hat is optional. How many different choices are there for Pip? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$9$$ 
aoVal: D
content: $$12$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration
Source: 其它
Problem: String $$A$$ is longer than String $$B$$.  String $$C$$ is the same length as String $$B$$.  String $$D$$ is longer than String $$A$$.  Which is the longest string? 
Options:
aoVal: A
content: $$A$$ 
aoVal: B
content: $$B$$ 
aoVal: C
content: $$C$$ 
aoVal: D
content: $$D$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Comparing
Problem: How many three-digit numbers can you create using the digits $$3$$, $$0$$, and $$7$$, and using each digit only once? ($$1998$$ Math Kangaroo Problems, Level $$3-4$$, Question \#$$6$$) 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$5$$ 
aoVal: E
content: $$6$$ 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers->General Complex Forming Numbers
Problem: There are $$30$$ pupils in my class. $$20$$ pupils like Maths and $$18$$ pupils like English. Twice as many pupils like both subjects as compared to those that like neither of them. How many pupils like only Maths? 
Options:
aoVal: A
content: $$20$$ 
aoVal: B
content: $$16$$ 
aoVal: C
content: $$12$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$4$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: Kathy started doing her homework at $$09:15$$. She used $$2\text{h }45\min $$ to complete her homework. Then she took a nap for $$20$$ minutes before she had her lunch, At what time did she have her lunch ? ． 
Options:
aoVal: A
content: $$10:20$$ 
aoVal: B
content: $$11:35$$ 
aoVal: C
content: $$12:00$$ 
aoVal: D
content: $$12:20$$ 
Answer: D
Analysis: N/A． 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Problem: Consider these two operations: $a\Psi b=a^{2}-b$ and $a \nu b=\sqrt{ab}$.  Which of these values are possible answers of $4 \nu (2 \Psi 3)^{2}$? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$10$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle
Source: 其它
Problem: Issy tosses a fair coin four times. She gets Heads, Heads, Heads, Tails. If she tosses it a fifth time, is she more likely to get Heads or Tails? 
Options:
aoVal: A
content: equally likely 
aoVal: B
content: Heads 
aoVal: C
content: Tails 
aoVal: D
content: not enough information 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Typical Probability Problems->Tossing Coins
Problem: The total of five different, positive odd numbers is $$85$$. What's the most that the largest number could be? 
Options:
aoVal: A
content: $$69$$ 
aoVal: B
content: $$35$$ 
aoVal: C
content: $$25$$ 
aoVal: D
content: $$21$$ 
aoVal: E
content: $$17$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums
Problem: How many balls does Pip want to take out? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$7$$ 
aoVal: C
content: $$10$$ 
aoVal: D
content: $$14$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules
Source: 其它
Problem: $$54\div$$$$=3\times3$$. 
Options:
aoVal: A
content: $$6$$ 
aoVal: B
content: $$9$$ 
aoVal: C
content: $$18$$ 
aoVal: D
content: $$27$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Division of Whole Numbers->Division Within the Multiplication Tables
Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication
Problem: After shopping for clothes, Andy has 2 shirts and 3 trousers. Can you work out how many combinations of outfits Andy has? 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$7$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration
Source: 其它
Problem: Adrian finished doing his homework at $$1$$ p.m. He started doing his homework $$2$$ hours ago. At what time did he start to do his homework? 
Options:
aoVal: A
content: $$11$$ a.m. 
aoVal: B
content: $$11$$ p.m. 
aoVal: C
content: $$3$$ a.m. 
aoVal: D
content: $$3$$ p.m. 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: $12 + 8 + 8 + 4 $ is the same as~\uline{~~~~~~~~~~}~$\times 4$. 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$7$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$10$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication
Source: 其它
Problem: The Pythagoras School of Music has $$100$$ students. Of these, $$60$$ are in the band and $$20$$ are in the orchestra.  Given that $$12$$ students are in both the band and the orchestra, how many are in neither the band nor the orchestra? 
Options:
aoVal: A
content: $$8$$ 
aoVal: B
content: $$20$$ 
aoVal: C
content: $$24$$ 
aoVal: D
content: $$28$$ 
aoVal: E
content: $$32$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets
Problem: Bud wants to arrange $$4$$ different soft toys side by side in a row. Find the number of ways that she can arrange them. 
Options:
aoVal: A
content: $$6$$ 
aoVal: B
content: $$24$$ 
aoVal: C
content: $$120$$ 
aoVal: D
content: $$64$$ 
aoVal: E
content: $$16$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: The total of four different, positive odd numbers is $$62$$. What's the most that the largest number could be? 
Options:
aoVal: A
content: $$45$$ 
aoVal: B
content: $$47$$ 
aoVal: C
content: $$49$$ 
aoVal: D
content: $$51$$ 
aoVal: E
content: $$53$$ 
Answer: E
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums
Problem: Determine：$$1$$，$$1$$，$$2$$，$$3$$，$$5$$，$$8$$，$$13$$，$$21$$，~\uline{~~~~~~~~~~}~，~\uline{~~~~~~~~~~}~，$$89$$． 
Options:
aoVal: A
content: $$35$$，$$39$$ 
aoVal: B
content: $$34$$，$$39$$ 
aoVal: C
content: $$34$$，$$55$$ 
aoVal: D
content: $$35$$，$$55$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle
Problem: What is the smallest possible sum of two positive integers whose product is $$120$$? 
Options:
aoVal: A
content: $$34$$ 
aoVal: B
content: $$26$$ 
aoVal: C
content: $$23$$ 
aoVal: D
content: $$22$$ 
aoVal: E
content: $$20$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: Carol brought $$6$$ cookies, Gina brought $$7$$ cookies, Sarah brought $$3$$ cookies, and Judy didn\textquotesingle t bring cookies. They put all the cookies together and divide them equally. How many cookies does each girl get? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$2$$ 
aoVal: D
content: $$5$$ 
aoVal: E
content: $$16$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas
Problem: Students Arn, Bob, Cyd, Dan, Eve, and Fon are arranged in that order in a circle. They start counting: Arn first, then Bob, and so forth. When the number contains a $7$ as a digit (such as $47$) or is a multiple of $7$ that person leaves the circle and the counting continues. Who is the last one present in the circle? 
Options:
aoVal: A
content: Arn 
aoVal: B
content: Bob 
aoVal: C
content: Cyd 
aoVal: D
content: Dan 
aoVal: E
content: Eve 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules
Source: 其它
Problem: There are 4 types of cakes available in a cake shop: chocolate, cheese, blueberry and  blackforest. Naomi wants to buy 2 different types of cakes. How many different  choices does she have? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$10$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations
Source: 其它
Problem: The desks in a Primary $$2$$ classroom are arranged in straight rows. Each row has the same number of desks. Robert sits at the desk that is in the third row from the front and the fifth row from the back. He sits at the centre of his row and there are $$4$$ desks to his left. How many desks are in the classroom? 
Options:
aoVal: A
content: $$48$$ 
aoVal: B
content: $$54$$ 
aoVal: C
content: $$56$$ 
aoVal: D
content: $$63$$ 
aoVal: E
content: None of the above 
Answer: D
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems
Source: 其它
Problem: Kelly is facing the north-east direction. How should she turn so that she faces west? 
Options:
aoVal: A
content: $$45^{\circ}$$ clockwise 
aoVal: B
content: $$135^{\circ}$$ clockwise 
aoVal: C
content: $$135^{\circ}$$ anti-clockwise 
aoVal: D
content: $$225^{\circ}$$ anti- clockwise 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: Four boys each prepared $$1$$ gift for a party. How many ways can these $$4$$ gifts be distributed among the $$4$$ kids so that no one receives his own gift? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$9$$ 
aoVal: D
content: $$12$$ 
aoVal: E
content: None of the above 
Answer: C
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration
Source: 其它
Problem: Four people each take a bucket of water to the faucet and the time required to fill the buckets of the four people are $$1$$ minutes, $$3$$ minutes, $$2$$ minutes, and $$5$$ minutes respectively. If only one tap is available, how can we arrange the order of the four people getting water so that their total waiting time is the shortest? This minimum total time by all four people is  minutes. (The time spent fetching water is also counted within waiting time) 
Options:
aoVal: A
content: $$11$$ 
aoVal: B
content: $$18$$ 
aoVal: C
content: $$21$$ 
aoVal: D
content: $$24$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle
Problem: Alvin scored $$872$$ points.  Bala scored two times as many points as Alvin had scored.  Chandran scored $$926$$ more points than Bala.  How many points did Chandran score? 
Options:
aoVal: A
content: $$818$$ 
aoVal: B
content: $$1362$$ 
aoVal: C
content: $$1744$$ 
aoVal: D
content: $$2670$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication
Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Mixed Operations->Mixed Operations of Multiplication and Addition of Whole Numbers
Problem: How many color of balls are there? 
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->Counting Modules
Source: 其它
Problem: Uncle John has a farm. His wife and his two sons are staying with him in the farm. They raise 10 cows and 20 chickens. How many total legs are there in the farm? 
Options:
aoVal: A
content: $$60$$ 
aoVal: B
content: $$80$$ 
aoVal: C
content: $$86$$ 
aoVal: D
content: $$88$$ 
aoVal: E
content: $$120$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication
Source: 其它
Problem: Ten students record their scores of hitting balls: $20$, $16$, $16$, $21$, $18$, $11$, $20$, $32$, $16$, and $21$. If the boy with the score of $32$ realizes that he actually gets only $22$, which of the following is correct? 
Options:
aoVal: A
content: The mean decreases by $2$. 
aoVal: B
content: The mean increases by $1$. 
aoVal: C
content: The mode changes. 
aoVal: D
content: The median stay the same. 
aoVal: E
content: The median decreases by $1$. 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability
Source: 其它
Problem: Distance between A and B is $$900$$m. Eddy and Vicky start from A and B at the same time and walk in the same direction. Vicky walks $$60$$m per minute while Eddy walks $$80$$m per minute. How long does it take Eddy to catch up with Vicky? 
Options:
aoVal: A
content: $$10$$min 
aoVal: B
content: $$15$$min 
aoVal: C
content: $$30$$min 
aoVal: D
content: $$45$$min 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Extreme Value in Inclusion-Exclusion for Multi-sets
Problem: A conductor wanted to make a trio consisting of a fiddler, a pianist, and a drummer. He had to choose one of two fiddlers, one of two pianists, and one of two drummers. He decided to try each of the possible trios. How many attempts did he have to make? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$24$$ 
aoVal: E
content: $$25$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration
Source: 其它
Problem: Chin Lee has $12$ dino models and $6$ bear soft toys. The remainder of her toys were caterpillar soft toys. She had a total of $40$ toys in total. What percentage of her toys were soft toys? 
Options:
aoVal: A
content: $70\textbackslash\%$ 
aoVal: B
content: $55\textbackslash\%$ 
aoVal: C
content: $45\textbackslash\%$ 
aoVal: D
content: $30\textbackslash\%$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle
Source: 其它
Problem: How many minutes are there in two and a half hours? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$60$$ 
aoVal: C
content: $$150$$ 
aoVal: D
content: $$180$$ 
aoVal: E
content: $$3600$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Problem: Find the missing digit in the blank. ．  $$\begin{matrix}\& \&~9~\&~\boxed{?}~\& 4 \textbackslash\textbackslash\& \times\& \& \&~6 \textbackslash\textbackslash{} \hline~\&5~\&~6~\& 0~\& 4\end{matrix}$$ 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$4$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: Find the sum below.  $$30+40+50+30+40+50+30+40+50$$ 
Options:
aoVal: A
content: $$120$$ 
aoVal: B
content: $$240$$ 
aoVal: C
content: $$360$$ 
aoVal: D
content: $$400$$ 
aoVal: E
content: None of the above. 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication
Source: 其它
Problem: Katie bought a plate of tonkatsu that cost $\textbackslash$12$. She added on a salad that cost $\textbackslash$2$. She paid for her meal and had to pay an additional $8\textbackslash\%$ GST on the price. How much did she have to pay for her meal? 
Options:
aoVal: A
content: $\textbackslash$12.96$ 
aoVal: B
content: $\textbackslash$14.96$ 
aoVal: C
content: $\textbackslash$14.98$ 
aoVal: D
content: $\textbackslash$15.12$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle
Source: 其它
Problem: How long is it, in hours and minutes, between $$10:28$$ and $$16:06$$? 
Options:
aoVal: A
content: $$5$$ hrs $$38$$ mins 
aoVal: B
content: $$8$$ hrs $$34$$ mins 
aoVal: C
content: $$5$$ hrs $$36$$ mins 
aoVal: D
content: $$26$$hrs $$34$$ mins 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Problem: 9. Each item below has two types with different prices:  Pens:  Rulers:  Peter wants to buy one pen and one ruler.  (1) How many combinations are there?~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: aaa 
aoVal: B
content: bbb 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration
Source: 其它
Problem: There is a $\dfrac{3}{10}$~chance that Justin will win the lottery. There is a $\dfrac{4}{5}$~chance that Ivy will win the same lottery. Who has a higher probability of winning this lottery? 
Options:
aoVal: A
content: Justin 
aoVal: B
content: Ivy 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability
Source: 其它