math-eval/TAL-SCQ5K huggingface dataset:
Problem: Take the smallest $$3$$-digit number and add it to the largest $$2$$-digit number. Subsequently, subtract from this sum the largest $$1$$-digit number. What is the answer number obtained? 
Options:
aoVal: A
content: $$200$$ 
aoVal: B
content: $$199$$ 
aoVal: C
content: $$198$$ 
aoVal: D
content: $$109$$ 
aoVal: E
content: None of the above 
Answer: E
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the least possible value of $$21x+14y$$, if $$xy=6$$ and $$y\textgreater0$$? 
Options:
aoVal: A
content: $$48$$ 
aoVal: B
content: $$83.5$$ 
aoVal: C
content: $$84$$ 
aoVal: D
content: $$96$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Indefinite Equations->Indeterminate Addition Equations
Problem: In a park there are $15$ animals: cows, cats, and kangaroos. We know that precisely $10$ are not cows and precisely $8$ are not cats. How many kangaroos are there in the park? (2019 Math Kangaroo Problem, Level 3-4, Question \#21) 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$10$$ 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $$10$$ more than the sum of $$3624$$ and $$879$$ is ． 
Options:
aoVal: A
content: $$2745$$ 
aoVal: B
content: $$3634$$ 
aoVal: C
content: $$4503$$ 
aoVal: D
content: $$4513$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction
Problem: Simplify $5x~− 3y + 2x + y$ 
Options:
aoVal: A
content: $3x+2y$ 
aoVal: B
content: $7x-2y$ 
aoVal: C
content: $7x-4y$ 
aoVal: D
content: $5xy$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number
Problem: $$85\times126=10710$$  What is $$8.5\times1.26$$? 
Options:
aoVal: A
content: $$0.1071$$ 
aoVal: B
content: $$1.071$$ 
aoVal: C
content: $$107.1$$ 
aoVal: D
content: $$1071$$ 
aoVal: E
content: $$10.71$$ 
Answer: E
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals
Problem: Here is part of a number sequence.  $2, 9, 16, 23, 30, 37\dots$  Which number below would appear in the sequence? 
Options:
aoVal: A
content: $$81$$ 
aoVal: B
content: $$105$$ 
aoVal: C
content: $$142$$ 
aoVal: D
content: $$126$$ 
aoVal: E
content: $$90$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of the followings is not equal to $14$? 
Options:
aoVal: A
content: $$12+2$$ 
aoVal: B
content: $$2\times7$$ 
aoVal: C
content: $$7+2$$ 
aoVal: D
content: $$7\times2$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division
Problem: Bella only eats apples and bananas every week. Each day she eats either $2$ apples or $4$ bananas. Last week, she ate bananas for four days. How many fruits did she eat last week? 
Options:
aoVal: A
content: $$16$$ 
aoVal: B
content: $$18$$ 
aoVal: C
content: $$20$$ 
aoVal: D
content: $$22$$ 
aoVal: E
content: $$24$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Source: 其它
Problem: Which of the following expressions has the same value as $$20\times 42$$? 
Options:
aoVal: A
content: $$20\times 1+20\times 40$$ 
aoVal: B
content: $$20\times 2+20\times 40$$ 
aoVal: C
content: $$42\times 2+42\times 0$$ 
aoVal: D
content: $$42\times 2+42\times 10$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers
Problem: Which is the solution of the following inequality:  $-21x-11\geq-31-x$. 
Options:
aoVal: A
content: $x\leq-1$ 
aoVal: B
content: $x\geq-1$ 
aoVal: C
content: $x\leq1$ 
aoVal: D
content: $x\geq1$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities
Source: 其它
Problem: 466 seconds =~\uline{~~~~~~~~~~}~min~\uline{~~~~~~~~~~}~seconds 
Options:
aoVal: A
content: 5; 26 
aoVal: B
content: 7; 46 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Time
Source: 其它
Problem: A book has $$80$$ pages. On day 1, Danny read $$15\textbackslash\%$$ of the book. On day 2, he read $$25\textbackslash\%$$ of the book. How many pages are left to read． 
Options:
aoVal: A
content: $$20$$ 
aoVal: B
content: $$32$$ 
aoVal: C
content: $$51$$ 
aoVal: D
content: $$12$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation
Source: 其它
Problem: Which of these quantities could be the length of a bedroom? 
Options:
aoVal: A
content: $500$ mm 
aoVal: B
content: $5000$ m 
aoVal: C
content: $0.5$ km 
aoVal: D
content: $20$ feet 
aoVal: E
content: $20$ inches 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Knowing Units
Source: 其它
Problem: $\frac{1}{12}, \frac{1}{6}, \frac{1}{3}, \frac{7}{12}, \frac{11}{12}\dots$  What fraction comes next in the sequence? 
Options:
aoVal: A
content: $\frac{13}{12}$ 
aoVal: B
content: $1\frac{1}{3}$ 
aoVal: C
content: $$1$$ 
aoVal: D
content: $1\frac{1}{4}$ 
aoVal: E
content: $1\frac{1}{6}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: The scores on two tests in a statistics class were approximately normally distributed. The first test had a mean of 42 and a standard deviation of 5. For the second test, the mean was 45 with a standard deviation of 6. Jemma earned a 38 on the first test. What score on the second test would be at the same percentile as her score on the first? 
Options:
aoVal: A
content: $$38$$ 
aoVal: B
content: $$39$$ 
aoVal: C
content: $$40$$ 
aoVal: D
content: $$41$$ 
aoVal: E
content: $$42$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of the following equations is a linear equation? 
Options:
aoVal: A
content: $y=-4x^{6}$ 
aoVal: B
content: $y=13$ 
aoVal: C
content: $y=2x-3h^{3}$ 
aoVal: D
content: $y=\frac{11}{x}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable
Source: 其它
Problem: What is the simplest form of $\frac{125}{750}$? 
Options:
aoVal: A
content: $\frac{25}{150}$ 
aoVal: B
content: $\frac{5}{30}$ 
aoVal: C
content: $\frac{1}{6}$ 
aoVal: D
content: $\frac{2}{6}$ 
aoVal: E
content: $\frac{6}{30}$ 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions
Source: 其它
Problem: If $$888\cdot 111=2\cdot (2\cdot n)^{2}$$ and $$n$$ is a positive integer, then $$n$$ equals:.　 
Options:
aoVal: A
content: $$8$$ 
aoVal: B
content: $$11$$ 
aoVal: C
content: $$22$$ 
aoVal: D
content: $$111$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Power of Products
Problem: The function $$y=a\times 2^{}x$$ is constant when $$a=$$~\uline{~~~~~~~~~~}~, the function $$y=2\times b^{}x$$ is constant when $$b=$$~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: 1,1 
aoVal: B
content: -1,-1 
aoVal: C
content: 0,1 
aoVal: D
content: 0,-1 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers
Source: 其它
Problem: What number is five more than half of thirty-six? 
Options:
aoVal: A
content: $$23$$ 
aoVal: B
content: $$21$$ 
aoVal: C
content: $$18$$ 
aoVal: D
content: $$19$$ 
aoVal: E
content: $$13$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: At a certain university, library study rooms have a maximum time limit of 3 hours per student. A librarian takes a random sample of times that 37 students use the study rooms and found that the mean time was 2.7 hours with a standard deviation of 0.2 hours. Which of the following is the best description of the amount of time that students used the study rooms? 
Options:
aoVal: A
content: The distribution has a median that is less than the mean. 
aoVal: B
content: The distribution of times is approximately normal since the standard deviation is approximately 95\% smaller than the mean. 
aoVal: C
content: The distribution of times is approximately normal since the sample size is greater than 30, and thus the Central Limit Theorem applies. 
aoVal: D
content: The distribution of times is skewed to the right because the maximum possible time is within two standard deviations of the mean. 
aoVal: E
content: The distribution of times is skewed to the left because the maximum possible time is within two standard deviations of the mean. 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of the following is \uline{not} equal to $$12$$? 
Options:
aoVal: A
content: $$2+2+2+2+2+2$$ 
aoVal: B
content: $$2$$ sixes 
aoVal: C
content: $$6\times 6$$ 
aoVal: D
content: $$6+6$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division
Problem: $$\frac14$$ and~\uline{~~~~~~~~~~}~make a whole. 
Options:
aoVal: A
content: $$\frac38$$ 
aoVal: B
content: $$\frac48$$ 
aoVal: C
content: $$\frac68$$ 
aoVal: D
content: $$\frac78$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: Which one of the following has the same value as $$\frac{2}{3}\div 8$$? 
Options:
aoVal: A
content: $$\frac{2}{3} \times \frac{1}{8}$$ 
aoVal: B
content: $$\frac{2}{3} \times 8$$ 
aoVal: C
content: $$\frac{3}{2} \times \frac{1}{8}$$ 
aoVal: D
content: $$\frac{3}{2} \times 8$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: $$10:\boxed{?}:14=15:6:21$$. What is the missing number in the box?． 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$4$$ 
Answer: D
Analysis: N/A.  $$2014$$ Henry Park Primary School, Semestral Examination $$2$$, Primary $$5$$, Question \#$$13$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio
Problem: $$2\frac{3}{4}=$$~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $$2-\frac{3}{4}$$ 
aoVal: B
content: $$2+\frac{3}{4}$$ 
aoVal: C
content: $$2\times \frac{3}{4}$$ 
aoVal: D
content: $$2\div \frac{3}{4}$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions
Problem: There are $15$ apples in each of $6$ trees. Five children want to pick some apples. Two of them pick $13$ apples, and three of them pick $20$ apples. How many apples are left in the trees? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$12$$ 
aoVal: E
content: $$15$$ 
Answer: A
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $(9 − 2) \times 5$． 
Options:
aoVal: A
content: $$30$$ 
aoVal: B
content: $$-1$$ 
aoVal: C
content: $$45$$ 
aoVal: D
content: $$35$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Problem: Which of the following equations is a linear equation? 
Options:
aoVal: A
content: $y=7x^{2}$ 
aoVal: B
content: $y=5x+7$ 
aoVal: C
content: $y=2x+3z^{3}$ 
aoVal: D
content: $y=\frac{8}{x}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable
Source: 其它
Problem: $$3\times 9=$$． 
Options:
aoVal: A
content: $$39$$ 
aoVal: B
content: $$27$$ 
aoVal: C
content: $$18$$ 
aoVal: D
content: $$12$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division
Problem: Find the quotient of $$408 \div 3$$. 
Options:
aoVal: A
content: $$16$$ 
aoVal: B
content: $$102$$ 
aoVal: C
content: $$106$$ 
aoVal: D
content: $$136$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division
Problem: $5000+?+7=5087$ 
Options:
aoVal: A
content: $$870$$ 
aoVal: B
content: $$80$$ 
aoVal: C
content: $$87$$ 
aoVal: D
content: $$807$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form
Problem: Tick the correct statement below:  Is the answer to $32.6578 \times ~32.6578$． 
Options:
aoVal: A
content: Below $100$? 
aoVal: B
content: Between $100$ and $1000$? 
aoVal: C
content: Between $1000$ and $1100$? 
aoVal: D
content: More than $1100$? 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals
Problem: Think Academy purchased some footballs and basketballs, the ratio of the number of footballs to the number of basketballs is 5:6, and the ratio of the unit prices is 9:10. What is the ratio of their total prices? 
Options:
aoVal: A
content: 3:1 
aoVal: B
content: 4:3 
aoVal: C
content: 27:25 
aoVal: D
content: 3:4 
aoVal: E
content: 25:27 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions
Source: 其它
Problem: $$6$$ less than $$24$$ is~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $$30$$ 
aoVal: B
content: $$20$$ 
aoVal: C
content: $$18$$ 
aoVal: D
content: $$12$$ 
aoVal: E
content: $$22$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: A contestant\textquotesingle s final winnings on a game show are determined by a random selection of a base amount and a possible multiplier. For the base amount, the contestant randomly selects one of four cards, where two cards are marked $\textbackslash$1,000$, one card is marked $\textbackslash$2,000$, and one card is marked $\textbackslash$5,000$. After choosing the card, the contestant randomly selects one of five chips, where three chips are red and two chips are white. If the selected chip is red, the contestant\textquotesingle s final winnings are twice the value of the base amount. If the selected chip is white, the contestant\textquotesingle s final winnings are the value of the base amount. What is the probability that a contestant\textquotesingle s final winnings are exactly $\textbackslash$2,000$? 
Options:
aoVal: A
content: $$0.100$$ 
aoVal: B
content: $$0.200$$ 
aoVal: C
content: $$0.250$$ 
aoVal: D
content: $$0.325$$ 
aoVal: E
content: $$0.400$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables
Source: 其它
Problem: Four candy bars and three lollipops cost $$4.50$$ dollars. One candy bar costs $$90$$ cents.  How much does one lollipop cost? 
Options:
aoVal: A
content: $$20$$ cents 
aoVal: B
content: $$30$$ cents 
aoVal: C
content: $$40$$ cents 
aoVal: D
content: $$50$$ cents 
aoVal: E
content: $$60$$ cents 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table
Problem: The first term of an arithmetic sequence is $$7$$ and the $$3^{}\text{rd}$$ term is $$17$$, what is the common difference of the arithmetic sequence? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$10$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Common Difference of an Arithmetic Sequence
Source: 其它
Problem: which one of the following is the same as $$3\times \frac{2}{7}$$? 
Options:
aoVal: A
content: $$3\times2\times7$$ 
aoVal: B
content: $$3 \times 2 \times \frac{1}{7}$$ 
aoVal: C
content: $$\frac{2}{7} \times \frac{2}{7} \times \frac{2}{7}$$ 
aoVal: D
content: $$3 \times \frac{2}{7} \times \frac{1}{7}$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: $$\frac{1}{3}+\square =\frac{3}{4}$$  What is the missing fraction in the box? ． 
Options:
aoVal: A
content: $$\frac{4}{7}$$ 
aoVal: B
content: $$\frac{5}{7}$$ 
aoVal: C
content: $$\frac{5}{12}$$ 
aoVal: D
content: $$\frac{2}{1}$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: Which card below has the greatest value? 
Options:
aoVal: A
content: $$10$$ ones 
aoVal: B
content: $$1$$ ten and $$8$$ ones 
aoVal: C
content: $$16$$ ones 
aoVal: D
content: $$1$$ ten and $$5$$ ones 
aoVal: E
content: $$19$$ ones 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering
Source: 其它
Problem: Which of the following expressions CANNOT be represented by $$4 \times 3$$? 
Options:
aoVal: A
content: $$4+4+4$$ 
aoVal: B
content: $$4+3$$ 
aoVal: C
content: $$3+3+3+3$$ 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division
Source: 其它
Problem: The speeds of Selena and Polly is $4:7$. It takes Selena $28$ minutes to complete a race. How long does it take Polly to complete the same race? 
Options:
aoVal: A
content: $49\rm\textasciitilde minutes$ 
aoVal: B
content: $7\rm\textasciitilde minutes$ 
aoVal: C
content: $4\rm\textasciitilde minutes$ 
aoVal: D
content: $16\rm\textasciitilde minutes$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions
Source: 其它
Problem: Which of the following is a ratio? 
Options:
aoVal: A
content: NBA Score 
aoVal: B
content: Time on the clock 
aoVal: C
content: A statement 
aoVal: D
content: A recipe 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions
Source: 其它
Problem: The numbers 1, 5, 8, 9, 10, 12 and 15 are distributed into groups with one or more numbers. The sum of the numbers in each group is the same. What is the largest number of groups? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$5$$ 
aoVal: E
content: $$6$$ 
Answer: B
Analysis: $$N.A.$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: The commuting time for a student to travel from home to a college campus is normally distributed with a mean of 30 minutes and a standard deviation 5 minutes. If the student leaves home at 8:25 A.M. What is the probability that the student will arrive at the college campus later than 9 A.M.? 
Options:
aoVal: A
content: $$0.16$$ 
aoVal: B
content: $$0.32$$ 
aoVal: C
content: $$0.50$$ 
aoVal: D
content: $$0.84$$ 
aoVal: E
content: $$1.00$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the missing number?  $$1386$$,~ $$1586$$,~ $$1986$$,~~$$\boxed ~{\textasciitilde\textasciitilde?\textasciitilde\textasciitilde}$$,~ $$3386$$. 
Options:
aoVal: A
content: $$2186$$ 
aoVal: B
content: $$2386$$ 
aoVal: C
content: $$2586$$ 
aoVal: D
content: $$2786$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences
Problem: $$4a+2b+3c=20$$  Which of the statements below is incorrect?  Choose the answer. 
Options:
aoVal: A
content: $$8a+4b+6c=40$$ 
aoVal: B
content: $$4a+2b=20-3c$$ 
aoVal: C
content: $$4a+2b+3c-20=0$$ 
aoVal: D
content: $$4a+2b+4c=20+c$$ 
aoVal: E
content: $$4a=20+2b-3c$$ 
Answer: E
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions
Problem: Is percent a Ratio? 
Options:
aoVal: A
content: Yes 
aoVal: B
content: No 
aoVal: C
content: This is a wrong answer but I just want to choose it 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation
Source: 其它
Problem: How many groups of four are there in $$84$$? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$12$$ 
aoVal: C
content: $$21$$ 
aoVal: D
content: $$4$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division
Problem: Calculate:  $4\frac{1}{3}$ + $3\frac{3}{4}$ + $2\frac{2}{5}$ + $8\frac{3}{5}$ + $7\frac{1}{4}$ + $6\frac{2}{3}$ = 
Options:
aoVal: A
content: $$30$$ 
aoVal: B
content: $$31$$ 
aoVal: C
content: $$32$$ 
aoVal: D
content: $$33$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions
Source: 其它
Problem: $$245 \times 48 = 245\times~ 50-\square $$  What is the missing number in the box? 
Options:
aoVal: A
content: $$48$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$245$$ 
aoVal: D
content: $$490$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers
Problem: A sequence of numbers is generated by subtracting the same amount each time.  If the $4^{\rm th}$ term is $5$ and the $11^{\rm th}$ term is $-16$, what is the $1^{\rm st}$ term of the sequence? 
Options:
aoVal: A
content: $$-4$$ 
aoVal: B
content: $$16$$ 
aoVal: C
content: $$17$$ 
aoVal: D
content: $$11$$ 
aoVal: E
content: $$14$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $$2y+3x+4y=$$． 
Options:
aoVal: A
content: $$9xy$$ 
aoVal: B
content: $$5x+4y$$ 
aoVal: C
content: $$3x+6y$$ 
aoVal: D
content: $$5x+6y$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions
Source: 其它
Problem: Is 0 a rational number? 
Options:
aoVal: A
content: Yes 
aoVal: B
content: No 
aoVal: C
content: Not sure 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers
Source: 其它
Problem: The graph above shows the position x as a function of time for the center of mass of a system of particles of total mass 6.0 kg. For a very short time interval around 2.0 s, an external force is exerted on an object in the system. What is the resulting change in momentum of the system? 
Options:
aoVal: A
content: $$52$$~kg·m/s 
aoVal: B
content: $$6$$~kg·m/s 
aoVal: C
content: $$-6$$~kg·m/s 
aoVal: D
content: $$-18$$~kg·m/s 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: The amount of money that Rachel saved was $$\textbackslash$1670$$ when rounded off to the nearest $$\textbackslash$10$$. What was the greatest amount of money she could have possibly saved (from the below options)? 
Options:
aoVal: A
content: $$\textbackslash$1664$$ 
aoVal: B
content: $$\textbackslash$1669$$ 
aoVal: C
content: $$\textbackslash$1674$$ 
aoVal: D
content: $$\textbackslash$1675$$ 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它