math-eval/TAL-SCQ5K huggingface dataset:
Problem: There are $$34$$ children at a game carnival. They are being grouped to form a complete team of $$7$$ players. How many children will not be able to form a complete team? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$4$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders
Problem: Which of the following numbers is an odd number? ． 
Options:
aoVal: A
content: $$124$$ 
aoVal: B
content: $$214$$ 
aoVal: C
content: $$241$$ 
aoVal: D
content: $$412$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Understanding Odd and Even Numbers
Problem: Using the octal system (base-$8$ numeral system) to calculate $\left (773\right )\_8 + \left (6\right )\_8$, the answer should be． 
Options:
aoVal: A
content: $\left (111\right )\_8$ 
aoVal: B
content: $\left (779\right )\_8$ 
aoVal: C
content: $\left (781\right )\_8$ 
aoVal: D
content: $\left (801\right )\_8$ 
aoVal: E
content: $\left (1001\right )\_8$ 
Answer: E
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Properties and Applications of Number Bases
Problem: Twenty-eight is the same as． 
Options:
aoVal: A
content: $$2$$ tens 
aoVal: B
content: $$28$$ tens 
aoVal: C
content: $$2$$ tens $$8$$ ones 
aoVal: D
content: $$20$$ tens $$8$$ ones 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers
Problem: Without calculating, can you quickly determine whether the result of each expression is even or odd? Choose the right answer.  (1) $$18-9-14+8+3$$．  (2) $$18+28+19-7+29$$． 
Options:
aoVal: A
content: (1) Even; (2) Odd 
aoVal: B
content: (1) Even; (2) Even 
aoVal: C
content: (1) Odd; (2) Even 
aoVal: D
content: (1) Odd; (2) Odd 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Addition and Subtraction Rules of Odd and Even Numbers
Problem: The three ropes are $126$ meters long. The first root is twice as large as the second root, and the second root is twice as large as the third root. How long are the each three ropes? 
Options:
aoVal: A
content: $72$, $36$, $18$ 
aoVal: B
content: $72$, $24$, $30$ 
aoVal: C
content: $72$, $44$, $10$ 
aoVal: D
content: $72$, $20$, $34$ 
aoVal: E
content: $72$, $46$, $8$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Only one of the following three numbers is a square number. Which one is it? 
Options:
aoVal: A
content: $$663$$ 
aoVal: B
content: $$1000$$ 
aoVal: C
content: $$3136$$ 
aoVal: D
content: $$4282$$ 
aoVal: E
content: $6078$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers
Problem: The four-digit number $$17X8$$ is divisible by $$3$$. If $$X$$ is an odd digit, find the value of $$X$$. 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$5$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: None of the above 
Answer: C
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders
Source: 其它
Problem: $\textasciitilde$  What is the missing number?  $$4673$$, $$4973$$,~\uline{~~~~~~~~~~}~, $$5873$$, $$6473$$ 
Options:
aoVal: A
content: $$5173$$ 
aoVal: B
content: $$5273$$ 
aoVal: C
content: $$5373$$ 
aoVal: D
content: $$5473$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Overseas In-curriculum->Knowledge Point->Algebra->Numbers and Figures->Patterns in Number Sequences
Problem: The five digit number $$154xy$$ is divisible by $$72$$. What is the value of $$x+y$$? 
Options:
aoVal: A
content: $$8$$ 
aoVal: B
content: $$17$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$12$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules
Problem: How many multiples of $$3$$ are there between $$13$$ and $$101$$? 
Options:
aoVal: A
content: $$29$$ 
aoVal: B
content: $$30$$ 
aoVal: C
content: $$31$$ 
aoVal: D
content: $$32$$ 
aoVal: E
content: $$33$$ 
Answer: A
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples
Source: 其它
Problem: What is the highest common factor of $$12$$ and $$18$$? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$6$$ 
aoVal: E
content: $$10$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors->The Greatest Common Factor of Two Numbers
Problem: ? 
Options:
aoVal: A
content: a 
aoVal: B
content: B 
aoVal: C
content: c 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization
Source: 其它
Problem: Which of the following numbers is divisible by $$3$$? 
Options:
aoVal: A
content: $$39458$$ 
aoVal: B
content: $$23419$$ 
aoVal: C
content: $$33991$$ 
aoVal: D
content: $$10854$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules
Source: 其它
Problem: Which of the following numbers cannot be written as the sum of $$4$$ consecutive whole numbers? 
Options:
aoVal: A
content: $$1994$$ 
aoVal: B
content: $$2042$$ 
aoVal: C
content: $$2050$$ 
aoVal: D
content: $$2060$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder
Problem: How many times does the number $$9$$ appear when counting from $$10$$ to $$120$$ ? 
Options:
aoVal: A
content: $$23$$ 
aoVal: B
content: $$21$$ 
aoVal: C
content: $$19$$ 
aoVal: D
content: $$22$$ 
aoVal: E
content: $$20$$ 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: ? 
Options:
aoVal: A
content: A 
aoVal: B
content: B 
aoVal: C
content: C 
aoVal: D
content: D 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples
Source: 其它
Problem: If~no adjacent digits that are identical are written down, then how many digits are required to write down the numbers from $$2$$ to $$99$$? 
Options:
aoVal: A
content: $$160$$ 
aoVal: B
content: $$173$$ 
aoVal: C
content: $$161$$ 
aoVal: D
content: $$171$$ 
aoVal: E
content: $$170$$ 
Answer: E
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Which one of the following is an odd number? 
Options:
aoVal: A
content: $$642$$ 
aoVal: B
content: $$426$$ 
aoVal: C
content: $$52$$ 
aoVal: D
content: $$321$$ 
aoVal: E
content: $$488$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers
Source: 其它
Problem: What is one million, nine hundred and two thousand and twenty-eight in numerals? 
Options:
aoVal: A
content: $$1002928$$ 
aoVal: B
content: $$1920028$$ 
aoVal: C
content: $$1092028$$ 
aoVal: D
content: $$1902028$$ 
aoVal: E
content: $$1920028$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers
Problem: Which of the following numbers has the digit $$6$$ in the hundreds place? 
Options:
aoVal: A
content: $$2016$$ 
aoVal: B
content: $$4659$$ 
aoVal: C
content: $$6382$$ 
aoVal: D
content: $$7569$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers
Problem: The value of the digit $$3$$ in $$93412$$ is． 
Options:
aoVal: A
content: $$30$$ 
aoVal: B
content: $$300$$ 
aoVal: C
content: $$3000$$ 
aoVal: D
content: $$30000$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers
Problem: The radius of a circle is $$\frac{1}{3}$$~the length of the side of the square. How many times the perimeter of a square is the diameter of a circle? 
Options:
aoVal: A
content: $$\frac{1}{3}$$ 
aoVal: B
content: $$\frac{1}{6}$$ 
aoVal: C
content: $$1$$ 
aoVal: D
content: $$2$$ 
aoVal: E
content: $$4$$ 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: ? 
Options:
aoVal: A
content: a 
aoVal: B
content: b 
aoVal: C
content: c 
aoVal: D
content: d 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases
Source: 其它
Problem: John and Ali start counting on from $$0$$.  They each count on in steps of a different size.  The first number that John and Ali both reach is $$120$$.  What size steps could they have been counting in? 
Options:
aoVal: A
content: $$10$$ and $$12$$ 
aoVal: B
content: $$11$$ and $$13$$ 
aoVal: C
content: $$9$$ and $$14$$ 
aoVal: D
content: $$8$$ and $$15$$ 
aoVal: E
content: $$6$$ and $$20$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Word Problems Involving Factors and Multiples->Multiples Word Problems
Problem: Calculate quickly  $100\div5\div5$~=． 
Options:
aoVal: A
content: $100\div（5\times5）$ 
aoVal: B
content: $100\div（5-5）$ 
aoVal: C
content: $100\div（5\div5）$ 
aoVal: D
content: $100\div（5+5）$ 
Answer: A
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders
Source: 其它
Problem: Grandpa Gao is in the habit of taking a walk after dinner. One day, he walked along the road at an even speed. It took him $12$ minutes to walk from the first tree to the $13$th tree. Grandpa Gao walked a few more trees and then went back. When he reached back to the fifth tree, it took him $50$ minutes. So which tree grandpa Gao reached when he decided to walk back? 
Options:
aoVal: A
content: $$20$$ 
aoVal: B
content: $$24$$ 
aoVal: C
content: $$27$$ 
aoVal: D
content: $$28$$ 
aoVal: E
content: There is no right answer. 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Which of the following numbers are not divisible by $2$? 
Options:
aoVal: A
content: $$21647292$$ 
aoVal: B
content: $$4572369$$ 
aoVal: C
content: $$3249868$$ 
aoVal: D
content: $$217658910$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: The greatest odd factor of 30 is ． 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$15$$ 
aoVal: D
content: $$21$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples
Source: 其它
Problem: Without calculating, determine if the following sums are odd or even.  $$25+33-14+525$$ gives an~\uline{~~~~~~~~~~}~number, while $$675-312-13+256$$ gives an~\uline{~~~~~~~~~~}~number． 
Options:
aoVal: A
content: odd, even 
aoVal: B
content: even, odd 
aoVal: C
content: odd, odd 
aoVal: D
content: even, even 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers
Problem: The four-digit number $$\overline{764Z}$$ is divisible by $$9$$. What is the value for $$Z$$? 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$1$$ 
aoVal: C
content: $$2$$ 
aoVal: D
content: $$3$$ 
aoVal: E
content: $$4$$ 
Answer: B
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders
Source: 其它
Problem: How many positive three-digit integers have a remainder of $2$ when divided by $6$, a remainder of $5$ when divided by $9$, and a remainder of $7$ when divided by $11$? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$4$$ 
aoVal: E
content: $$5$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems
Source: 其它
Problem: Which one of these numbers has exactly three different prime factors? 
Options:
aoVal: A
content: $$78$$ 
aoVal: B
content: $$81$$ 
aoVal: C
content: $$28$$ 
aoVal: D
content: $$32$$ 
aoVal: E
content: $$45$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers->Knowing Prime and Composite Numbers
Problem: The digit $$3$$ in $$7.934$$ stands for $$3$$． 
Options:
aoVal: A
content: ones 
aoVal: B
content: tens 
aoVal: C
content: tenths 
aoVal: D
content: hundredths 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Overseas In-curriculum->Knowledge Point->Knowing Numbers->Decimals->Meaning for Decimals ->Decimal Place Value
Problem: What is the sum of all the prime numbers between $$10$$ and $$20$$? 
Options:
aoVal: A
content: $$55$$ 
aoVal: B
content: $$58$$ 
aoVal: C
content: $$60$$ 
aoVal: D
content: $$64$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers
Problem: Lan is $$2\textasciitilde cm$$ taller than George and George is $$3\textasciitilde cm$$ shorter than Kelly. If Kelly is $$147\textasciitilde cm$$, what is Lan\textquotesingle s height? 
Options:
aoVal: A
content: $$145$$ 
aoVal: B
content: $$144$$ 
aoVal: C
content: $$138$$ 
aoVal: D
content: $$148$$ 
aoVal: E
content: $$146$$ 
Answer: E
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: What is the difference between the third multiple and the seventh multiple of $$7$$? 
Options:
aoVal: A
content: $$70$$ 
aoVal: B
content: $$28$$ 
aoVal: C
content: $$21$$ 
aoVal: D
content: $$10$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples
Problem: If the digit $$4$$ is replaced by the digit $$3$$ in each of the numbers below, which number is reduced by the largest amount? 
Options:
aoVal: A
content: $$74000$$ 
aoVal: B
content: $$99949$$ 
aoVal: C
content: $$87654$$ 
aoVal: D
content: $$95400$$ 
aoVal: E
content: $$45678$$ 
Answer: E
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Applying Place Value Principle in Calculation
Problem: Which one of the following numbers is not divisible by $$11$$? 
Options:
aoVal: A
content: $$56782$$ 
aoVal: B
content: $$21373$$ 
aoVal: C
content: $$79234$$ 
aoVal: D
content: $$42185$$ 
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: Which one of the following numbers is a multiple of 8? 
Options:
aoVal: A
content: $$18$$ 
aoVal: B
content: $$28$$ 
aoVal: C
content: $$38$$ 
aoVal: D
content: $$48$$ 
aoVal: E
content: $$58$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples
Source: 其它
Problem: The houses on the street where John lives are numbered from $$1$$ to $$24$$. How many times does the digit $$2$$ appear in the numbering of those houses? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$16$$ 
aoVal: E
content: $$32$$ 
Answer: C
Analysis: N/A. \hspace{0pt}\hspace{0pt} 
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: A $$4$$-digit number $$\overline{56\square3}$$ is divisible by $$9$$, find the number in the $$\square$$. 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$5$$ 
aoVal: D
content: $$6$$ 
aoVal: E
content: None of the above 
Answer: B
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders
Source: 其它
Problem: The perimeter of a rectangle is $$14 cm$$. Assuming that the side lengths are integers, how many different cases are there for the area of this rectangle? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$4$$ 
aoVal: E
content: $$5$$ 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Lily has a total of 1$8$ pink skirts and blue skirts. The number of pink skirts is twice that of blue skirts. How many pink skirts are more than blue skirts? 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$7$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$9$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: The first common multiple of $$6$$ and $$8$$ is． 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$24$$ 
aoVal: D
content: $$48$$ 
Answer: C
Analysis: \hspace{0pt}N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples
Problem: Divide $$438$$ by $$8$$.~ What is the remainder? 
Options:
aoVal: A
content: $$54$$ 
aoVal: B
content: $$43$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$4$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders
Problem: Is $$1234$$ divisible by $$11$$? If not, what is the remainder? ． 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$4$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Congruence
Problem: If~no adjacent digits that are identical are written down, then how many digits are required to write down the numbers from $$7$$ to $$86$$? 
Options:
aoVal: A
content: $$138$$ 
aoVal: B
content: $$139$$ 
aoVal: C
content: $$143$$ 
aoVal: D
content: $$141$$ 
aoVal: E
content: $$142$$ 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: o(╥﹏╥)o Teacher Jihan is sick today and he can\textquotesingle t make it to the office hour. His body temperature is the LCM of $2$ and $19$ ℃. What is his body temperature now? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$29$$ 
aoVal: C
content: $$38$$ 
aoVal: D
content: $$76$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors
Source: 其它
Problem: In order to take the OC exam, John spent five weeks practising the OC exercises. In the first week, he practised one set of OC exercises. Since then, he had practised twice as many times each week as the previous week. How many sets of exercises did John practise in total while preparing for the OC exam? 
Options:
aoVal: A
content: $$16$$ 
aoVal: B
content: $$63$$ 
aoVal: C
content: $$31$$ 
aoVal: D
content: $$30$$ 
aoVal: E
content: $$21$$ 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: The rabbit pulled out $10$ radishes. If it pulled out $2$ more radishes, the rabbit pulled out twice as many radishes as the gray rabbit. How many radishes did the little grey rabbit pull? 
Options:
aoVal: A
content: $$6$$ 
aoVal: B
content: $$8$$ 
aoVal: C
content: $$12$$ 
aoVal: D
content: $$16$$ 
aoVal: E
content: $$24$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Which value does the $$2$$ in $$352107$$ represent? 
Options:
aoVal: A
content: $$2000$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$200$$ 
aoVal: D
content: $$20000$$ 
aoVal: E
content: $$20$$ 
Answer: A
Analysis: N/A.  revise from (GL Assessment book$$1$$《Paper $$2$$》 $$6$$ years Question \#$$1$$) 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Expression of Place Value Principle
Problem: The teacher writes a two-digit number on the whiteboard, then writes the smallest one-digit number to its right, and at last, adds $$11$$ to the number. The teacher gets a sum of $$117$$. ~Which two-digit number did the teacher write at first on the whiteboard? 
Options:
aoVal: A
content: $$13$$ 
aoVal: B
content: $$12$$ 
aoVal: C
content: $$9$$ 
aoVal: D
content: $$11$$ 
aoVal: E
content: $$10$$ 
Answer: E
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Which of the following number is a multiple of $2$? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$10$$ 
aoVal: D
content: $$13$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers
Source: 其它
Problem: Which of the numbers below is odd regardless of the value of the natural number $$n$$? 
Options:
aoVal: A
content: $$2003n$$ 
aoVal: B
content: $$n^{3}$$ 
aoVal: C
content: $$n+2004$$ 
aoVal: D
content: $$2n^{2}+2003$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Mixed Calculations of Odd and Even Numbers
Problem: Jack is $8$ years old and her mother is $34$ years old. How old is Jack when her mother is $3$ times as old as Xiao Dong? 
Options:
aoVal: A
content: $$13$$ 
aoVal: B
content: $$8$$ 
aoVal: C
content: $$12$$ 
aoVal: D
content: $$16$$ 
aoVal: E
content: $$24$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: If the four-digit number $$147B$$ is divisible by $$3$$, how many possible values are there for the digit $$B$$? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$4$$ 
aoVal: E
content: None of the above 
Answer: D
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders
Source: 其它
Problem: Riley had $$4$$ dollar in her piggy bank on $$1^{st}$$ December $$2022$$, which is a Thursday. She will put $$1$$ into the piggy bank every Monday, Wednesday, Friday and Sunday. On which day would she reach $$$16$$ in her piggy bank? 
Options:
aoVal: A
content: Friday 
aoVal: B
content: Sunday 
aoVal: C
content: Monday 
aoVal: D
content: Wednesday 
aoVal: E
content: Tuesday 
Answer: D
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems
Source: 其它
Problem: Jim and Adam participated in the shooting competition. Jim\textquotesingle s score was three times that of Adam. Adam was $18$ points less than Jim. How many points did Jim and Adam get together? 
Options:
aoVal: A
content: $$27$$ 
aoVal: B
content: $$28$$ 
aoVal: C
content: $$32$$ 
aoVal: D
content: $$35$$ 
aoVal: E
content: $$36$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它