math-eval/TAL-SCQ5K huggingface dataset:
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: Which of the following is a factor of 36? 
Options:
aoVal: A
content: $2\times18$ 
aoVal: B
content: $2\times16$ 
aoVal: C
content: $4\times5$ 
aoVal: D
content: $6\times5$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples
Source: 其它
Problem: In the number $$67 543$$, the digit~\uline{~~~~~~~~~~}~is in the ten thousands place. 
Options:
aoVal: A
content: $$7$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$5$$ 
aoVal: D
content: $$4$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers
Problem: ? 
Options:
aoVal: A
content: a 
aoVal: B
content: b 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders
Source: 其它
Problem: ? 
Options:
aoVal: A
content: a 
aoVal: B
content: b 
aoVal: C
content: c 
aoVal: D
content: d 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases
Source: 其它
Problem: In the number $2.369$ what does the $6$ mean? 
Options:
aoVal: A
content: $$6$$ 
aoVal: B
content: $\dfrac{6}{1000}$ 
aoVal: C
content: $\dfrac{6}{10}$ 
aoVal: D
content: $\dfrac{6}{100}$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits
Problem: Simplify the following fraction using GCF:  $\dfrac{16}{54}=$ 
Options:
aoVal: A
content: $\dfrac{1}{4}$ 
aoVal: B
content: $\dfrac{2}{7}$ 
aoVal: C
content: $\dfrac{4}{14}$ 
aoVal: D
content: $\dfrac{8}{27}$ 
Answer: D
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 a car race, George was $$50$$ metres behind Chris and $$40$$ metres ahead of John. Emma was $$60$$ metres behind George. What is the distance between the first car and the last car? 
Options:
aoVal: A
content: $$90m$$ 
aoVal: B
content: $$170m$$ 
aoVal: C
content: $$150m$$ 
aoVal: D
content: $$114m$$ 
aoVal: E
content: $$110m$$ 
Answer: E
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
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 $$5$$ to $$85$$? 
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: How many perfect cubes lie between $2^{8}+1$ and $2^{18}+1$, inclusive? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$9$$ 
aoVal: C
content: $$10$$ 
aoVal: D
content: $$57$$ 
aoVal: E
content: $$58$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers
Source: 其它
Problem: If the length of a simple pendulum is doubled, its period will 
Options:
aoVal: A
content: decrease by 2 
aoVal: B
content: increase by 2 
aoVal: C
content: decrease by~$\sqrt{2}$ 
aoVal: D
content: increase by~$\sqrt{2}$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
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
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders
Source: 其它
Problem: The sum of the following equation:  （203 + 202 + \ldots\ldots{} + 288）-（49 + 50 + 51 + \ldots\ldots{} + 131） is an~\uline{~~~~~~~~~~}~number. 
Options:
aoVal: A
content: odd 
aoVal: B
content: even 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers
Source: 其它
Problem: If a four-digit number $$7A2A$$ can be divisible by $15$, the digit that $$A$$ represents is  . 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$5$$ 
aoVal: D
content: $$4$$ 
aoVal: E
content: $$8$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules
Problem: If the length of each side of a rectangle increases by $10\textbackslash\%$, by what percentage does the area of the rectangle increase? 
Options:
aoVal: A
content: $$42\textbackslash\%$$ 
aoVal: B
content: $$21\textbackslash\%$$ 
aoVal: C
content: $$10\textbackslash\%$$ 
aoVal: D
content: $$10.5\textbackslash\%$$ 
aoVal: E
content: $$11\textbackslash\%$$ 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: $$8000\div4=$$tens. 
Options:
aoVal: A
content: $$20$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$200$$ 
aoVal: D
content: $$2000$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases
Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Division of Whole Numbers->Dividing Multi-digit Numbers by 1-digit Numbers->Mental Calculation Involving Dividing Multi-digit Numbers by 1-digit Numbers
Problem: If~no adjacent digits that are identical are written down, then how many digits are required to write down the numbers from $$1$$ to $$99$$? 
Options:
aoVal: A
content: $$160$$ 
aoVal: B
content: $$173$$ 
aoVal: C
content: $$161$$ 
aoVal: D
content: $$171$$ 
aoVal: E
content: $$170$$ 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Several different positive integers are written on the board. Exactly two of them are divisible by $$2$$ and exactly thirteen of them are divisible by $$13$$. Let $$M$$ be the greatest of these numbers. What is the smallest possible value of $$M$$? 
Options:
aoVal: A
content: $$169$$ 
aoVal: B
content: $$221$$ 
aoVal: C
content: $$247$$ 
aoVal: D
content: $$273$$ 
aoVal: E
content: $$325$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules->Questions Involving Properties of Dividing without Remainders
Source: 其它
Problem: The sum of two numbers is 300. One number is 5 times of the other number.  What is the difference between the two numbers? 
Options:
aoVal: A
content: $$50$$ 
aoVal: B
content: $$60$$ 
aoVal: C
content: $$180$$ 
aoVal: D
content: $$200$$ 
aoVal: E
content: None of the above 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Which of the following numbers is divisible by $$9$$? 
Options:
aoVal: A
content: $$50923$$ 
aoVal: B
content: $$38941$$ 
aoVal: C
content: $$10947$$ 
aoVal: D
content: $$57213$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules
Source: 其它
Problem: $$9 132 500 = 9 000 000+132 000+$$$\square$  What is the missing number in the box? 
Options:
aoVal: A
content: $$32500$$ 
aoVal: B
content: $$3250$$ 
aoVal: C
content: $$2500$$ 
aoVal: D
content: $$500$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value
Problem: When two pieces of cloth of the same length are sold, the first piece is $10$ meters. When the second piece is sold $7$ meters, the second piece is four times as long as the first one. How many meters are the second cloth originally? 
Options:
aoVal: A
content: 8; 
aoVal: B
content: $$7$$ 
aoVal: C
content: $$11$$ 
aoVal: D
content: $$13$$ 
aoVal: E
content: $$15$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Which of the following numbers is both an even number and a cube number? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$16$$ 
aoVal: C
content: $$64$$ 
aoVal: D
content: $$125$$ 
aoVal: E
content: $$180$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Multiplication Rules of Odd and Even Numbers
Problem: Two apples cost $10$ cents, and two peaches cost $4$ cents. How much do one apple and one peach cost in total? (Adapted from 2019 Math Kangaroo Problem, Level 1-2, Question \#8) 
Options:
aoVal: A
content: $5$ cents 
aoVal: B
content: $6$ cents 
aoVal: C
content: $7$ cents 
aoVal: D
content: $8$ cents 
aoVal: E
content: $9$ cents 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: What number between $37$ and $47$ is exactly divisble by both $2$ and $3$? 
Options:
aoVal: A
content: $$38$$ 
aoVal: B
content: $$39$$ 
aoVal: C
content: $$42$$ 
aoVal: D
content: $$44$$ 
aoVal: E
content: $$45$$ 
Answer: C
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples
Source: 其它
Problem: Teacher Angel wrote the numbers $1$ to $20$ on a blackboard. How many times is the digit \textquotesingle$1$\textquotesingle{} written on the board? 
Options:
aoVal: A
content: $$9$$ 
aoVal: B
content: $$10$$ 
aoVal: C
content: $$11$$ 
aoVal: D
content: $$12$$ 
aoVal: E
content: $$13$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits
Source: 其它
Problem: What is three million, ninety thousand and four in numeral? 
Options:
aoVal: A
content: $$3009004$$ 
aoVal: B
content: $$3900004$$ 
aoVal: C
content: $$3090004$$ 
aoVal: D
content: $$3000904$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas In-curriculum->Knowledge Point->Knowing Numbers->Whole Numbers->Knowing Numbers Beyond 10000->Reading and Writing Large Numbers 
Overseas Competition->Knowledge Point->Number Theory Modules
Problem: Lan is $$2\textasciitilde cm$$ taller than George and George is $$3\textasciitilde cm$$ shorter than Kelly. If the 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: $LCM[8,12]=$ 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$24$$ 
aoVal: C
content: $$48$$ 
aoVal: D
content: $$96$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Multiples and Least Common Multiples->Least Common Multiple of Two Numbers
Source: 其它
Problem: Tom drove the car for $$150$$ km and consumed a quarter of the fuel tank. The average fuel consumption of this car is $$10$$ km/litre. If the fuel cost is $$$1.20$$ per litre, how much would he have to pay to fill an entire empty tank? 
Options:
aoVal: A
content: $$$60$$ 
aoVal: B
content: $$$70$$ 
aoVal: C
content: $$$80$$ 
aoVal: D
content: $$$72$$ 
aoVal: E
content: $$$12$$ 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: John buys a farm with $$25$$ rabbits and chickens. If there are $$80$$ legs in total, find the number of chickens on the farm. 
Options:
aoVal: A
content: $$15$$ 
aoVal: B
content: $$10$$ 
aoVal: C
content: $$16$$ 
aoVal: D
content: $$14$$ 
aoVal: E
content: $$12$$ 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Eight days after the day before yesterday is Friday. Which day of the week is tomorrow? 
Options:
aoVal: A
content: Friday 
aoVal: B
content: Saturday 
aoVal: C
content: Sunday 
aoVal: D
content: Thursday 
aoVal: E
content: None of the above 
Answer: C
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems
Source: 其它
Problem: Using the octal system (base $6$ numeral system) to calculate $\left (243\right )\_6 + \left (15\right )\_6$, the answer should be． 
Options:
aoVal: A
content: $\left (302\right )\_6$ 
aoVal: B
content: $\left (258\right )\_6$ 
aoVal: C
content: $\left (331\right )\_6$ 
aoVal: D
content: $\left (262\right )\_6$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Properties and Applications of Number Bases
Problem: Is $$123$$ 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: In the relay race, Tom ran $$100$$ metres in $$11$$ seconds and George ran $$10$$ metres more than Tom in the same time. What is the total distance covered by Tom and George? 
Options:
aoVal: A
content: $$210m$$ 
aoVal: B
content: $$250m$$ 
aoVal: C
content: $$190m$$ 
aoVal: D
content: $$200m$$ 
aoVal: E
content: $$220m$$ 
Answer: A
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: The factors of $$63$$ are $$1$$, $$3$$, $$7$$,~\uline{~~~~~~~~~~}~,~\uline{~~~~~~~~~~}~and $$63$$. 
Options:
aoVal: A
content: $$7$$ and $$9$$ 
aoVal: B
content: $$8$$ and $$9$$ 
aoVal: C
content: $$9$$ and $$21$$ 
aoVal: D
content: $$11$$ and $$21$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples
Problem: I am thinking of a number. The number is smaller than $$40$$.  It can be found in both the multiplication tables of $$6$$ and $$8$$.  What number am I thinking of? 
Options:
aoVal: A
content: $$12$$ 
aoVal: B
content: $$16$$ 
aoVal: C
content: $$24$$ 
aoVal: D
content: $$28$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples
Problem: For a positive integer~~the factorial notation n! represents the product of the integers from n to 1 (For example,~$6!=6\cdot5\cdot4\cdot3\cdot2\cdot1$) What value of N satisfies the following equation? $5!\cdot9!=12\cdot N!$ 
Options:
aoVal: A
content: $$10$$ 
aoVal: B
content: $$11$$ 
aoVal: C
content: $$12$$ 
aoVal: D
content: $$13$$ 
aoVal: E
content: $$14$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples
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 of the following statements is incorrect? 
Options:
aoVal: A
content: $$108$$ is a multiple of $$3$$ and $$9$$ 
aoVal: B
content: $$105$$ is a multiple of $$5$$, but it is not a multiple of $$10$$ 
aoVal: C
content: $$164$$ is a multiple of $$4$$ 
aoVal: D
content: $$134$$ is a multiple of $$6$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples
Problem: A 90 percent confidence interval for the slope of a regression line is determined to be (-0.181, 1.529). Which of the following statements must be true? 
Options:
aoVal: A
content: The correlation coefficient of the data is positive. 
aoVal: B
content: The sum of the residuals for the data based on the regression line is positive. 
aoVal: C
content: A scatterplot of the data would show a linear pattern. 
aoVal: D
content: The slope of the sample regression line is 1.348. 
aoVal: E
content: The slope of the sample regression line is 0. 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: A cube~box with a size of~$$15 cm \times 15 cm \times 15 cm$$ is used to hold small cubes. The size of small cubes is $$3 cm \times 3 cm \times 3 cm$$. How many small cubes can this large cube box hold? 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$15$$ 
aoVal: C
content: $$125$$ 
aoVal: D
content: $$9$$ 
aoVal: E
content: $$25$$ 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Write $$32$$ hundreds and $$4$$ ones in numerals. 
Options:
aoVal: A
content: $$3240$$ 
aoVal: B
content: $$3204$$ 
aoVal: C
content: $$360$$ 
aoVal: D
content: $$324$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers
Problem: Which is \textbf{NOT} a square number? 
Options:
aoVal: A
content: $$49$$ 
aoVal: B
content: $$59$$ 
aoVal: C
content: $$64$$ 
aoVal: D
content: $$81$$ 
aoVal: E
content: $$16$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers
Problem: A survey of a random sample of 210 male teens and 228 female teens, ages 13 years to 17 years, found that 122 of the male teens and 160 of the female teens brush their teeth at least twice a day. If there is no difference between the proportions in the population of all male and female teens ages 13 years to 17 years who brush their teeth at least twice a day, approximately how many males and females in the sample would be expected to brush their teeth at least twice a day? 
Options:
aoVal: A
content: 105 males and 114 females 
aoVal: B
content: 122 males and 160 females 
aoVal: C
content: 135 males and 147 females 
aoVal: D
content: 141 males and 141 females 
aoVal: E
content: 219 males and 219 females 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: Gary, Ivan and Martin are doing arithmetic problems. The number of problems Gary does is three times that of Martin, and the number of problems Ivan does is two times that of Gary. Ivan does 15 to more problems than Martin. How many questions did they do altogether? 
Options:
aoVal: A
content: $$25$$ 
aoVal: B
content: $$15$$ 
aoVal: C
content: $$20$$ 
aoVal: D
content: $$35$$ 
aoVal: E
content: $$30$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: What is the sum of the digits in the number $$2009$$? 
Options:
aoVal: A
content: $$7$$ 
aoVal: B
content: $$11$$ 
aoVal: C
content: $$12$$ 
aoVal: D
content: $$18$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits
Problem: I am thinking of a number. The number is smaller than $$40$$. It can be found in both the multiplication tables of $$6$$ and $$8$$. What number am I thinking of? 
Options:
aoVal: A
content: $$12$$ 
aoVal: B
content: $$16$$ 
aoVal: C
content: $$24$$ 
aoVal: D
content: $$28$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples
Problem: The teacher writes a one-digit number first on the whiteboard, then writes the largest single digit to its right, and at last, adds $$38$$ to the number. The teacher gets a sum of $$117$$. Which one-digit number did the teacher write at first on the whiteboard? 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$8$$ 
aoVal: C
content: $$9$$ 
aoVal: D
content: $$7$$ 
aoVal: E
content: $$6$$ 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: For any positive integer M, the notation M! denotes the product of the integers 1 through M. What is the largest integer n for which 5n is a factor of the sum 98! + 99! + 100! ? 
Options:
aoVal: A
content: $$23$$ 
aoVal: B
content: $$24$$ 
aoVal: C
content: $$25$$ 
aoVal: D
content: $$26$$ 
aoVal: E
content: $$27$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples
Source: 其它
Problem: Cut four identical squares with a perimeter of $$4 cm$$ each at~the corner out~of a $$15 cm \times 6 cm$$ rectangle. What is the perimeter of the rest~of~the shape? 
Options:
aoVal: A
content: $$40cm$$ 
aoVal: B
content: $$42cm$$ 
aoVal: C
content: $$90cm$$ 
aoVal: D
content: $$58cm$$ 
aoVal: E
content: $$50cm$$ 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: A 40-kg box slides down an incline that is angled 30$^{\circ}$ above the horizontal. The box starts from rest at a height of 8 m, and the coefficient of kinetic friction is 0.2. What is the total work done on the box as it slides to the bottom of the incline? 
Options:
aoVal: A
content: $$1109J$$ 
aoVal: B
content: $$2091J$$ 
aoVal: C
content: $$3200J$$ 
aoVal: D
content: $$4390J$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: During Easter, tickets are $$$6$$ for a single person and $$$18$$ for a family ($$2$$ adults and $$2$$ children). What is the difference in price between $$4$$ single tickets and a family ticket? 
Options:
aoVal: A
content: $$$13$$ 
aoVal: B
content: $$$3$$ 
aoVal: C
content: $$$4$$ 
aoVal: D
content: $$$6$$ 
aoVal: E
content: $$$12$$ 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: If I fold a square into two equal parts, the two parts can\textquotesingle t be 
Options:
aoVal: A
content: rectangle 
aoVal: B
content: parallelogram 
aoVal: C
content: square 
aoVal: D
content: trapezoid 
aoVal: E
content: triangle 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules
Source: 其它
Problem: $$48$$ is not a multiple of ． 
Options:
aoVal: A
content: $$12$$ 
aoVal: B
content: $$14$$ 
aoVal: C
content: $$16$$ 
aoVal: D
content: $$24$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples
Problem: The houses on the street where Teacher Miu lives are numbered from 1 to 35.  How many times does the digit 3 appear in the numbering of those houses?~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: $$9$$ 
aoVal: B
content: $$10$$ 
aoVal: C
content: $$11$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value
Source: 其它
Problem: Calculate quickly  $1000\div8$ =． 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$25$$ 
aoVal: C
content: $$125$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders
Source: 其它
Problem: 96 has~\uline{~~~~~~~~~~}~factors. 
Options:
aoVal: A
content: $$10$$ 
aoVal: B
content: $$12$$ 
aoVal: C
content: $$14$$ 
aoVal: D
content: $$16$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples
Source: 其它