math-eval/TAL-SCQ5K huggingface dataset:
Problem: If  $$-$$ means $$\times$$  $$+$$ means $$\div$$  $$\times$$ means $$+$$  $$\div$$ means $$-$$  Then: $$26+(4\div 2)-2\times 5=$$？ 
Options:
aoVal: A
content: $$12$$ 
aoVal: B
content: $$22$$ 
aoVal: C
content: $$25$$ 
aoVal: D
content: $$31$$ 
aoVal: E
content: $$35$$ 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: The $$5$$-digit number $$2022U$$ is divisible by $$11$$. What is the remainder when this number is divided by $$4$$? 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$1$$ 
aoVal: C
content: $$2$$ 
aoVal: D
content: $$3$$ 
aoVal: E
content: $$4$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules
Problem: There are $$13$$ coins in John\textquotesingle s pocket,and each of them is either a $$5$$ cent coin or a $$10$$ cent coin. Which of the numbers below cannot be the total value of John\textquotesingle s coins? 
Options:
aoVal: A
content: $$60$$cents 
aoVal: B
content: $$70$$cents 
aoVal: C
content: $$80$$cents 
aoVal: D
content: $$115$$cents 
aoVal: E
content: $$125$$cents 
Answer: A
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: Which of the following is a common factor of $$12$$ and $$16$$? 
Options:
aoVal: A
content: $$12$$ 
aoVal: B
content: $$8$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$4$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples
Problem: Which of the following shows a set of prime numbers? 
Options:
aoVal: A
content: $$1$$, $$5$$, $$37$$, $$41$$ 
aoVal: B
content: $$2$$, $$77$$, $$86$$, $$13$$ 
aoVal: C
content: $$3$$, $$11$$, $$29$$, $$41$$ 
aoVal: D
content: $$9$$, $$13$$, $$56$$, $$79$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers
Problem: Calculate quickly:  $92\div4$~=． 
Options:
aoVal: A
content: $100\div4-8\div4$ 
aoVal: B
content: $100\div4+8\div4$ 
aoVal: C
content: $92\div4+8\div4$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders
Source: 其它
Problem: How many tens are there in $$3710$$? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$10$$ 
aoVal: C
content: $$371$$ 
aoVal: D
content: $$710$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers
Problem: A number is multiplied by itself.  The answer is $$64$$. What is the number?  Choose the answer. 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$8$$ 
aoVal: C
content: $$16$$ 
aoVal: D
content: $$32$$ 
aoVal: E
content: $$46$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers
Problem: The factors of $$63$$ are $$1$$, $$3$$, $$7$$,~\uline{~~~~~~~~~~}~,~\uline{~~~~~~~~~~}~and $$63$$. 
Options:
aoVal: A
content: $$7$$,$$9$$ 
aoVal: B
content: $$8$$, $$9$$ 
aoVal: C
content: $$9$$, $$21$$ 
aoVal: D
content: $$11$$, $$21$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples
Problem: Jack knot the $5$ ropes together in sequence, into a long rope, how many knots on this long rope? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$7$$ 
aoVal: E
content: There is no right answer. 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: （$$2016$$ Maha Bodhi School, Topical Assessment $$1$$, Primary Two, Question \#$$6$$）  Use the digits below to form the geatest $$3-$$digit even number.  $$0$$~ ~ $$9$$~ ~ $$5$$~ ~ $$7$$  Which is the greatest $$3-$$digit even number? 
Options:
aoVal: A
content: $$975$$ 
aoVal: B
content: $$970$$ 
aoVal: C
content: $$957$$ 
aoVal: D
content: $$950$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Understanding Odd and Even Numbers
Problem: If  $$-$$ means $$\times$$  $$+$$ means $$\div$$  $$\times$$ means $$+$$  $$\div$$ means $$-$$  Then: $$12+(3\div 2)-3\times 4=$$？ 
Options:
aoVal: A
content: $$32$$ 
aoVal: B
content: $$42$$ 
aoVal: C
content: $$40$$ 
aoVal: D
content: $$41$$ 
aoVal: E
content: $$45$$ 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: what is the smallest remainder? 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$1$$ 
aoVal: C
content: $$2$$ 
aoVal: D
content: $$3$$ 
aoVal: E
content: $$4$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems
Source: 其它
Problem: A given number is a multiple of $$6$$. It is between $$10$$ and $$20$$. It is also a factor of $$24$$. What is the number? 
Options:
aoVal: A
content: $$12$$ 
aoVal: B
content: $$14$$ 
aoVal: C
content: $$16$$ 
aoVal: D
content: $$18$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples
Problem: If a number is divisible by $$66$$ then it must also be divisible by. 
Options:
aoVal: A
content: $$5$$ and $$3$$ 
aoVal: B
content: $$3$$ and $$11$$ 
aoVal: C
content: $$9$$ and $$4$$ 
aoVal: D
content: $$6$$ and $$6$$ 
Answer: B
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: The remainders of 5543 when divided by 4 and 9 respectively are ． 
Options:
aoVal: A
content: 1, 8 
aoVal: B
content: 3, 7 
aoVal: C
content: 3, 8 
aoVal: D
content: 1, 7 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems
Source: 其它
Problem: If I switch the digits in the two digit-number which expresses my father\textquotesingle s age, I will obtain a number that expresses my age. Which of the following numbers can express my father\textquotesingle s age when I was born? 
Options:
aoVal: A
content: $$24$$ 
aoVal: B
content: $$25$$ 
aoVal: C
content: $$26$$ 
aoVal: D
content: $$27$$ 
aoVal: E
content: $$28$$ 
Answer: D
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: An object is thrown upwards with an initial velocity of 20 m/s. What is the object\textquotesingle s velocity after 2 seconds? Assume no air resistance. 
Options:
aoVal: A
content: 0 m/s 
aoVal: B
content: 10 m/s upwards 
aoVal: C
content: 20 m/s upwards 
aoVal: D
content: 30 m/s upwards 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: What is the value of $81$ tenths, $\frac{28}{25}$ and $0.139$? 
Options:
aoVal: A
content: $$2.069$$ 
aoVal: B
content: $$8.359$$ 
aoVal: C
content: $$9.359$$ 
aoVal: D
content: $$1.229$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases
Source: 其它
Problem: ? 
Options:
aoVal: A
content: a 
aoVal: B
content: b 
aoVal: C
content: c 
aoVal: D
content: d 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules
Source: 其它
Problem: Find all the prime factors of $$598$$ ． 
Options:
aoVal: A
content: $$2\times13\times23$$ 
aoVal: B
content: $$5\times15\times25$$ 
aoVal: C
content: $$2\times23\times10$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization
Problem: Which of the following numbers is divisible by $$11$$? 
Options:
aoVal: A
content: $$173823$$ 
aoVal: B
content: $$42789$$ 
aoVal: C
content: $$81235$$ 
aoVal: D
content: $$542131$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules
Source: 其它
Problem: If the length of each side of a rectangle increases by $20\textbackslash\%$, by what percentage does the area of the rectangle increase? 
Options:
aoVal: A
content: $$44\textbackslash\%$$ 
aoVal: B
content: $$21\textbackslash\%$$ 
aoVal: C
content: $$10\textbackslash\%$$ 
aoVal: D
content: $$10.5\textbackslash\%$$ 
aoVal: E
content: $$11\textbackslash\%$$ 
Answer: A
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Researchers investigated whether a new process for producing yarn could reduce the mean amount of volatile organic compounds (VOCs) emitted by carpet. From random samples of carpets, the researchers found the mean reduction of VOCs emitted by carpets made with yarn produced by the new process compared with thatof carpets made with yarn produced by the traditional process was 13 parts per million (ppm). All conditionsfor inference were met, and the p-value for the appropriate hypothesis test was 0.095. Which of the following statements is the best interpretation of the p-value? 
Options:
aoVal: A
content: The probability that the null hypothesis is true is 0.095 
aoVal: B
content: The probability that the alternative hypothesis is true is 0.095 
aoVal: C
content: The probability of observing a mean reduction of 13 ppm is 0.095 
aoVal: D
content: If the null hypothesis is true, the probability of observing a mean reduction of at least 13 ppm is 0.095 
aoVal: E
content: If the null hypothesis is true, the probability of observing a mean reduction of at most 13 ppm is 0.095 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: When 4 identical rectangles are placed next to each other, they form a square. If the area of a rectangle is $$16$$ square centimetres, what is the length of the rectangle? 
Options:
aoVal: A
content: $$6cm$$ 
aoVal: B
content: $$8cm$$ 
aoVal: C
content: $$4cm$$ 
aoVal: D
content: $$12cm$$ 
aoVal: E
content: $$16cm$$ 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: The positive integer N is such that the product of its digits is $45$.  Which of the following could not be the product of the digits of $N+1$？ 
Options:
aoVal: A
content: $$90$$ 
aoVal: B
content: $$60$$ 
aoVal: C
content: $$54$$ 
aoVal: D
content: $$35$$ 
aoVal: E
content: $$0$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Which of these numbers are prime numbers?  $2\textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} 6\textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} 7\textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} 9\textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} 12\textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} 15$ 
Options:
aoVal: A
content: $2$ and $9$ 
aoVal: B
content: $6$ and $7$ 
aoVal: C
content: $9$ and $15$ 
aoVal: D
content: $2$ and $7$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers->Judging Prime and Composite Numbers
Problem: On the number line, any number on the left side of the origin is ． 
Options:
aoVal: A
content: Positive number 
aoVal: B
content: Negative Number 
aoVal: C
content: Non-postive number 
aoVal: D
content: Opposite Number 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
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->Prime and Composite Numbers
Source: 其它
Problem: l am a four$$-$$digit number. The digit in the ones place is $$9$$. The digit in the thousands place has a value of $$1000$$ The digit in the tens place is twice the digit in the hundreds place. What number am I? 
Options:
aoVal: A
content: $$1009$$ 
aoVal: B
content: $$1209$$ 
aoVal: C
content: $$1249$$ 
aoVal: D
content: $$1429$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers
Problem: The main difference between a $\chi^{2}$ test for independence and a~$\chi^{2}$ test for homogeneity of proportions is which of the following? 
Options:
aoVal: A
content: They are based on a different number of degrees of freedom. 
aoVal: B
content: One of the tests is for a two-sided alternative and the other is for a one-sided alternative. 
aoVal: C
content: In one case, two variables are compared within a single population. In the other case, two populations are compared in terms of a single variable. 
aoVal: D
content: For a given value of $\chi^{2}$, they have different P-values. 
aoVal: E
content: There are no differences between the tests. They measure exactly the same thing. 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: How many of the numbers $$1$$, $$2$$, $$3$$, $$4$$, $$5$$, $$6$$, $$7$$, $$8$$, and $$9$$ can be written as a sum of two of the other numbers? 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$7$$ 
aoVal: D
content: $$8$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders
Problem: John, George and Oscar ran around the circular track in the same direction at the same time. John took 16 seconds, George took $$20$$ seconds, and Oscar took $$30$$ seconds. If they continue to chase each other, when will they meet again at the starting point? 
Options:
aoVal: A
content: $$6$$ hours 
aoVal: B
content: $$1$$ day 
aoVal: C
content: $$4$$ minutes 
aoVal: D
content: $$124$$ minutes 
aoVal: E
content: $$9$$ hours 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Emma, Gina and Lisa ran a $$400$$-metre circular track in the same direction at the same time. Emma took $$54$$ seconds, Gina took $$45$$ seconds, and Lisa took $$48$$ seconds. If they continue to chase each other, when will they meet again at the starting point? 
Options:
aoVal: A
content: $$36$$ hours 
aoVal: B
content: $$25$$ days 
aoVal: C
content: $$36$$ minutes 
aoVal: D
content: $$216$$ minutes 
aoVal: E
content: $$39$$ hours 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Which of these statements is always true? 
Options:
aoVal: A
content: If there are at least two twos in a number then it must be a multiple of two. 
aoVal: B
content: If a number ends in five then it must be a multiple of $25$. 
aoVal: C
content: If the last two digits in a number are a multiple of four then the number must be a multiple of four. 
aoVal: D
content: If a number is an even number then it must be a multiple of $4$. 
aoVal: E
content: If the sum of all the digits in a number is a multiple of five then the number must be a multiple of five. 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples
Problem: The first four numbers of a sequence are $$1$$, $$4$$, $$7$$, and $$10$$. What is the difference between the sixth and tenth numbers of this sequence? 
Options:
aoVal: A
content: $$14$$ 
aoVal: B
content: $$13$$ 
aoVal: C
content: $$11$$ 
aoVal: D
content: $$12$$ 
aoVal: E
content: $$22$$ 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: An apple, $2$ pears and a strawberry together weigh $$12$$ pounds. $3$ apples and a strawberry weigh $$10$$ pounds. A pear and a strawberry together weigh $$2$$ pounds more than an apple. How much does an apple weigh? 
Options:
aoVal: A
content: $$1$$ pounds 
aoVal: B
content: $$2$$ pounds 
aoVal: C
content: $$3$$ pounds 
aoVal: D
content: $$4$$ pounds 
aoVal: E
content: $$5$$ pounds 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Which of the following numbers are not divisible by $5$? 
Options:
aoVal: A
content: $$12345$$ 
aoVal: B
content: $$67890$$ 
aoVal: C
content: $$98765$$ 
aoVal: D
content: $$54321$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: A simple pendulum swings about the vertical equilibrium position with a maximum angular displacement of 5° and period T. If the same pendulum is given a maximum angular displacement of $$ 10^{\circ} $$, then which of the following best gives the period of the oscillations? 
Options:
aoVal: A
content: $$ \frac{T}{2} $$ 
aoVal: B
content: $$ \frac{T}{\sqrt{2}} $$ 
aoVal: C
content: T 
aoVal: D
content: $$2T$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems
Source: 其它
Problem: $$989$$ pieces of candy are packed into packages, each of which contains $$4$$ pieces of candy. In order to complete the last package, how many more pieces of candy are needed? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$5$$ 
aoVal: E
content: None of the above 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules
Source: 其它
Problem: Which of the following is not a prime number? 
Options:
aoVal: A
content: $$43$$ 
aoVal: B
content: $$41$$ 
aoVal: C
content: $$39$$ 
aoVal: D
content: $$37$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers
Source: 其它
Problem: There are $$19$$ apples in $$4$$ baskets. John wants $$4$$ baskets to have the same weight. How many apples should he pick up at least? 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$2$$ 
aoVal: E
content: $$1$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Guessing Dividends
Source: 其它
Problem: Which one of the following numbers is a factor of $$24$$? 
Options:
aoVal: A
content: $$8$$ 
aoVal: B
content: $$9$$ 
aoVal: C
content: $$16$$ 
aoVal: D
content: $$48$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples
Problem: If a four-digit number $$A4A8$$ can be divisible by $12$, the digit that $$A$$ represents is  . 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$6$$ 
aoVal: E
content: $$8$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules
Problem: Find the largest whole number between $$76$$ and $$91$$ that is divisible by $$4$$ and $$5$$. 
Options:
aoVal: A
content: $$20$$ 
aoVal: B
content: $$80$$ 
aoVal: C
content: $$85$$ 
aoVal: D
content: $$90$$ 
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: What is the square root of $$64$$? 
Options:
aoVal: A
content: $$12$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$1$$ 
aoVal: E
content: $$8$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers
Problem: How many months of the year have exactly $$30$$ days? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$12$$ 
aoVal: D
content: $$11$$ 
aoVal: E
content: None of the above 
Answer: A
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems
Source: 其它
Problem: what is odd number? 
Options:
aoVal: A
content: 0,2,4,6,8 
aoVal: B
content: 1,3,5,7,9 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers
Source: 其它
Problem: What is the remainder when $$17+18+19$$ is divided by $$4$$ ． 
Options:
aoVal: A
content: $$6$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$2$$ 
aoVal: D
content: $$0$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder
Problem: ? 
Options:
aoVal: A
content: a 
aoVal: B
content: B 
aoVal: C
content: c 
aoVal: D
content: d 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization
Source: 其它
Problem: ? 
Options:
aoVal: A
content: a 
aoVal: B
content: b 
aoVal: C
content: c 
aoVal: D
content: d 
aoVal: E
content: e 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers
Source: 其它
Problem: Teacher Lele\textquotesingle s school bought $35$ more boxes of white chalk than colored chalks, and the number of boxes of white chalk was $5$ times more than that of colored chalks, $3$ more boxes. How many boxes of white chalk and colored chalks did the school buy? 
Options:
aoVal: A
content: 8; 43 
aoVal: B
content: 7; 43 
aoVal: C
content: 6; 43 
aoVal: D
content: 8; 42 
aoVal: E
content: 7; 42 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: $2^{3}+4\times 3-1^{8}=$~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $$10$$ 
aoVal: B
content: $$13$$ 
aoVal: C
content: $$16$$ 
aoVal: D
content: $$19$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->The Relationship between Exponents and the Number of Factors
Source: 其它
Problem: What is the quotient when $$525$$ is divided by $$5$$? 
Options:
aoVal: A
content: $$15$$ 
aoVal: B
content: $$105$$ 
aoVal: C
content: $$125$$ 
aoVal: D
content: $$150$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders
Problem: Helen\textquotesingle s age is a factor of 120 and is an odd number. Her mother gave her a polaroid camera as a birthday present for her 6th birthday. How old is she? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$9$$ 
aoVal: E
content: $$15$$ 
Answer: E
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples
Problem: What is the smallest mumber bigger than $$2007$$, in which the sum of its digits is equal to the sum of the digits of $$2007$$? 
Options:
aoVal: A
content: $$2016$$ 
aoVal: B
content: $$2015$$ 
aoVal: C
content: $$2009$$ 
aoVal: D
content: $$1008$$ 
aoVal: E
content: $$2070$$ 
Answer: A
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