math-eval/TAL-SCQ5K huggingface dataset:
Problem: Complete the calculation correctly.  $$553-$$~\uline{~~~~~~~~~~}~$$=427$$ 
Options:
aoVal: A
content: $$162$$ 
aoVal: B
content: $$126$$ 
aoVal: C
content: $$226$$ 
aoVal: D
content: $$262$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction
Problem: Simplify the expression． ~\hspace{0pt}\hspace{0pt}\hspace{0pt}\hspace{0pt}\hspace{0pt}\hspace{0pt}  $$a+2a=$$~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: $$2a$$ 
aoVal: B
content: $$a+2a$$ 
aoVal: C
content: $$3a$$ 
aoVal: D
content: $$a3$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions
Problem: Which of the following expressions have the same value as the fraction $$\frac{7}{11}$$? 
Options:
aoVal: A
content: $$11\div 7$$ 
aoVal: B
content: $$7\div 11$$ 
aoVal: C
content: $$4\div 7$$ 
aoVal: D
content: $$7\div 18$$ 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions
Problem: $2$ ducks, $2$ rabbits and $1$ dog together weigh $14$ kg. $3$ ducks and $1$ rabbit together weigh $6$ kg. $1$ dog weigh $1$ kg more than $1$ rabbit and $1$ duck weigh together. How much does a duck weigh? 
Options:
aoVal: A
content: $$1$$ kg 
aoVal: B
content: $$2$$ kg 
aoVal: C
content: $$3$$ kg 
aoVal: D
content: $$4$$ kg 
aoVal: E
content: $$5$$ kg 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution
Source: 其它
Problem: Judy draws a plan of her bedroom using a scale of $$2\text{cm}$$ to $$7\text{m}$$.  On the plan, the playground is $$10\text{cm}$$ long.  What is the real length of the playground? 
Options:
aoVal: A
content: $$5\text{m}$$ 
aoVal: B
content: $$20 \text{m}$$ 
aoVal: C
content: $$35\text{m}$$ 
aoVal: D
content: $$70 \text{m}$$ 
aoVal: E
content: $$55\text{m}$$ 
Answer: C
Analysis: N/A.  Revise from (GL Assessment book$$2$$《Paper $$4$$》 $$6$$ years Question \#$$5$$) 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale
Problem: Ordering the following numbers: $$0.06$$, $$22.2\textbackslash\%$$, $$\frac{22}{100}$$, $$\frac{1}{9}$$, which of the following is correct? 
Options:
aoVal: A
content: $$22.2\textbackslash\%\textgreater\frac{1}{9}\textgreater\frac{22}{100}\textgreater0.06$$ 
aoVal: B
content: $$\frac{1}{9}\textgreater22.2\textbackslash\%\textgreater\frac{22}{100}\textgreater0.06$$ 
aoVal: C
content: $$22.2\textbackslash\%\textgreater\frac{22}{100}\textgreater\frac{1}{9}\textgreater0.06$$ 
aoVal: D
content: $$22.2\textbackslash\%\textgreater\frac{22}{100}\textgreater0.06\textgreater\frac{1}{9}$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation
Source: 其它
Problem: Find the missing number: $$\frac 23=$$~\uline{~~~~~~~~~~}~$$\times \frac 43$$. ($$1989-90$$ MATHCOUNTS, G$$7$$, Problem $$12$$) 
Options:
aoVal: A
content: $$\frac 12$$ 
aoVal: B
content: $$\frac 23$$ 
aoVal: C
content: $$\frac 43$$ 
aoVal: D
content: $$2$$ 
Answer: A
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: Which one of the following sets is arranged in decreasing order? 
Options:
aoVal: A
content: $$7510$$, $$7020$$, $$6990$$, $$6750$$ 
aoVal: B
content: $$6830$$, $$8310$$, $$9040$$, $$7990$$ 
aoVal: C
content: $$5870$$, $$6840$$, $$6820$$, $$5470$$ 
aoVal: D
content: $$8490$$, $$8790$$, $$9480$$, $$9740$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering
Problem: Last year, the level of support for a yerly community event was estimated to be 83\%. Officials would like to estimate the level of support this yearwith 95\% confdence and a margin of error no larger than 4\%. Which of the following is the smallest sample size that would do so? 
Options:
aoVal: A
content: $$30$$ 
aoVal: B
content: $$300$$ 
aoVal: C
content: $$350$$ 
aoVal: D
content: $$610$$ 
aoVal: E
content: $$1000$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which result is the largest? 
Options:
aoVal: A
content: $157-69$ 
aoVal: B
content: $26+58$ 
aoVal: C
content: $100-11$ 
aoVal: D
content: $45\times2$ 
aoVal: E
content: $39+49$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Source: 其它
Problem: Of the following, which ratio is equivalent to $$13:12$$?(Adapted from $$1996$$ Math League, Grade $$6$$, Question \#$$21$$) 
Options:
aoVal: A
content: $$(13\div3):(12\div3)$$ 
aoVal: B
content: $$(13+2):(12+2)$$ 
aoVal: C
content: $$(13\times3):(12\times2)$$ 
aoVal: D
content: $$(13-3):(12-2)$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions
Problem: A large grocery store chain wants to determine the proportion of its customers who redeem coupons in its stores. They intend to use a 99 percent confidence interval on a large sample with a margin of error of no more than 2 percent. What is the mini-mum sample size to produce this margin of error? 
Options:
aoVal: A
content: $$5625$$ 
aoVal: B
content: $$4161$$ 
aoVal: C
content: $$3394$$ 
aoVal: D
content: $$2653$$ 
aoVal: E
content: $$2401$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $98^{2}-4=$． 
Options:
aoVal: A
content: $$9400$$ 
aoVal: B
content: $$9600$$ 
aoVal: C
content: $$9800$$ 
aoVal: D
content: $$10000$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas-> Difference of Two Squares Formula
Source: 其它
Problem: A lizard is $20\rm cm$ in length.  The lizard can walk $1.5$ times its own length every second.  How long would it take the ant to walk $36\rm m$? 
Options:
aoVal: A
content: $2\textasciitilde\rm minutes$ 
aoVal: B
content: $20\textasciitilde\rm seconds$ 
aoVal: C
content: $40\textasciitilde\rm seconds$ 
aoVal: D
content: $20\textasciitilde\rm minutes$ 
aoVal: E
content: $1\textasciitilde\rm minute$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Cici\textquotesingle s sister is three times as tall as Cici. Cici\textquotesingle s dad is taller than Cici\textquotesingle s sister. If Cici is $1.5$ feet tall, write an inequality to represent Cici\textquotesingle s dad\textquotesingle s height $x$. 
Options:
aoVal: A
content: $x \textgreater{} 1.5$ 
aoVal: B
content: $x \textgreater{} 4.5$ 
aoVal: C
content: $x \geq 1.5$ 
aoVal: D
content: $x \geq4.5$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities
Source: 其它
Problem: It started to snow at $10$am and at that time my garden thermometer registered $1$$^{\circ}\text{C}$.  I checked the thermometer an hour later and found that the temperature had fallen by half of a degree.  If the temperature continues to drop by half of a degree every hour what is the temperature at $6$pm? 
Options:
aoVal: A
content: $--3$$^{\circ}\text{C}$ 
aoVal: B
content: $--7$$^{\circ}\text{C}$ 
aoVal: C
content: $--4$$^{\circ}\text{C}$ 
aoVal: D
content: $5$$^{\circ}\text{C}$ 
aoVal: E
content: $--5$$^{\circ}\text{C}$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers
Problem: Which of the following decimals is equivalent to $\frac{3}{11}$? 
Options:
aoVal: A
content: $2.\dot{7}\dot{2}$ 
aoVal: B
content: $0.2\dot{7}$ 
aoVal: C
content: $0.272727$ 
aoVal: D
content: $0.\dot{2}\dot{7}$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals
Source: 其它
Problem: Usually, people spend $\frac{1}{4}$ of their sleeping time dreaming. If Poole slept $8$ hours last night, how much time did he spend dreaming yesterday? 
Options:
aoVal: A
content: $$8$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$2$$ 
aoVal: E
content: $$1$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions
Source: 其它
Problem: $$286+4053=$$． 
Options:
aoVal: A
content: $$3767$$ 
aoVal: B
content: $$4239$$ 
aoVal: C
content: $$4339$$ 
aoVal: D
content: $$6913$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction
Problem: Lili bought a coffee that cost $$\textbackslash$8.50$$ and a shirt that cost $$\textbackslash$25.62$$. How much money did she spend? $$\textbackslash$$$~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $$35.02$$ 
aoVal: B
content: $$34.12$$ 
aoVal: C
content: $$32.92$$ 
aoVal: D
content: $$26.47$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals
Problem: Given that nitrogen has a valence of 3, how many hydrogen atoms can a nitrogen atom bond to? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$4$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Express $$\frac{18}{25}$$ as a percentage. 
Options:
aoVal: A
content: $$18\textbackslash\%$$ 
aoVal: B
content: $$36\textbackslash\%$$ 
aoVal: C
content: $$72\textbackslash\%$$ 
aoVal: D
content: $$90\textbackslash\%$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas In-curriculum->Knowledge Point->Knowing Numbers->Fractions->Percentages->Converting Between Percentages, Fractions and Decimals
Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation
Problem: To solve the problem $9\times(10+5)-(7-2)$, John writes the steps below. In which step the first mistake was written?  Step $1$: $=9\times10+9\times5-(7-2)$  Step $2$: $=9\times10+9\times5-7+2$  Step $3$: $=90+45-9$  Step $4$: $=145-9$  Step $5$: $=136$ 
Options:
aoVal: A
content: Step $1$ 
aoVal: B
content: Step $2$ 
aoVal: C
content: Step $3$ 
aoVal: D
content: Step $4$ 
aoVal: E
content: Step $5$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Source: 其它
Problem: What is the sum of interior angles of a triangle? 
Options:
aoVal: A
content: $90^{}\circ$ 
aoVal: B
content: $180^{}\circ$ 
aoVal: C
content: $270^{}\circ$ 
aoVal: D
content: $360^{}\circ$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Lin, Mat, and Ned went for a run of different distances L, M, and N respectively. During the run, they covered an equal distance before they stopped for a water break. At that time, Lin had completed $$\frac{1}{2}$$ of distance L, Mat had completed $$\frac{2}{3}$$ of distance M and Ned had completed $$\frac{3}{5}$$ of distance N.  What is the ratio of the distance L to distance M to distance N? 
Options:
aoVal: A
content: $$1:2:3$$ 
aoVal: B
content: $$2:3:5$$ 
aoVal: C
content: $$12:9:10$$ 
aoVal: D
content: $$15:20:18$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas In-curriculum->Knowledge Point->Algebra->Problems Involving Proportions->Solving Problems Involving Proportion
Overseas Competition->Knowledge Point->Calculation Modules->Fractions
Problem: $$6+2=$$． 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$7$$ 
aoVal: D
content: $$8$$ 
Answer: D
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: What number is $$339$$ less than two thousand and eighteen? 
Options:
aoVal: A
content: $$1669$$ 
aoVal: B
content: $$1679$$ 
aoVal: C
content: $$1689$$ 
aoVal: D
content: $$1789$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form
Problem: $$\frac{6}{7} \times \frac{14}{9}=$$~\uline{~~~~~~~~~~}~.  What is the answer in its simplest form? 
Options:
aoVal: A
content: $$\frac{1}{3}$$ 
aoVal: B
content: $$\frac{7}{9}$$ 
aoVal: C
content: $$\frac{12}{9}$$ 
aoVal: D
content: $$1\frac{1}{3}$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: Which of the following expressions has the same result as $$463-(238-37)$$? 
Options:
aoVal: A
content: $$463-238-37$$ 
aoVal: B
content: $$463+238-37$$ 
aoVal: C
content: $$463+238+37$$ 
aoVal: D
content: $$463-238+37$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers
Source: 其它
Problem: Which number is one hundred times smaller than $4250$? 
Options:
aoVal: A
content: $$425000$$ 
aoVal: B
content: $$4.25$$ 
aoVal: C
content: $$425$$ 
aoVal: D
content: $$42.5$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals
Problem: The digit $8$ in what number represents a value of $0.8$? 
Options:
aoVal: A
content: $$8.013$$ 
aoVal: B
content: $$0.683$$ 
aoVal: C
content: $$88.7$$ 
aoVal: D
content: $$9.82$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals
Source: 其它
Problem: Sammy and Tricia started doing a math test at the same time. Sammy completed the paper in $$1\text{h}$$ $$15\min$$. Tricia completed the paper $$20\min $$ earlier than Sammy. How much time did Tricia take to complete the paper?． 
Options:
aoVal: A
content: $$135\rm min$$ 
aoVal: B
content: $$95\rm min$$ 
aoVal: C
content: $$55\rm min$$ 
aoVal: D
content: $$35\rm min$$ 
Answer: C
Analysis: N/A.　 
Knowledge points: Overseas In-curriculum->Knowledge Point->Measurement->Time->Time Calculation
Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion
Problem: Events D and E are independent, with with P(D) = 0.6 and P(D and E) = 0.18. Which of the following is true? 
Options:
aoVal: A
content: P(E) = 0.12 
aoVal: B
content: P(E) = 0.4 
aoVal: C
content: P(D or E) = 0.28 
aoVal: D
content: P(D or E) = 0.72 
aoVal: E
content: P(D or E) = 0.9 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables
Source: 其它
Problem: Which of these pairs of numbers are equally distant from $$5$$? 
Options:
aoVal: A
content: $$5.01$$ and $$4.91$$ 
aoVal: B
content: $$5.01$$ and $$4.99$$ 
aoVal: C
content: $$5.11$$ and $$4.91$$ 
aoVal: D
content: $$5.11$$ and $$4.99$$ 
aoVal: E
content: $$5.19$$ and $$4.91$$ 
Answer: B
Analysis: N/A.  revise from (GL Assessment book$$2$$《Paper $$6$$》 $$6$$ years Question \#$$17$$) 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals
Problem: $3a-2b-2a+3b$ =~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $1+b$ 
aoVal: B
content: $a-b$ 
aoVal: C
content: $a+b$ 
aoVal: D
content: $a-5b$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions
Problem: $$4\times 9=$$． 
Options:
aoVal: A
content: $$16\times 2$$ 
aoVal: B
content: $$12\times 3$$ 
aoVal: C
content: $$7\times 5$$ 
aoVal: D
content: $$38\times 1$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division
Problem: When $$\frac 89$$ is divided by $$\frac 43$$, the result is~\uline{~~~~~~~~~~}~. ($$1978-79$$ MATHCOUNTS, G$7$, Problem $$5$$) 
Options:
aoVal: A
content: $$\frac {32}{27}$$ 
aoVal: B
content: $$\frac 23$$ 
aoVal: C
content: $$\frac 2{27}$$ 
aoVal: D
content: $$6$$ 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: Rachel practices singing and dancing every week. Each day she practices either singing for $2$ hours or dancing for $3$ hours. She practiced dancing for $12$ hours last week. How many hours did she practice singing last week? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$8$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$10$$ 
aoVal: E
content: $$6$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Source: 其它
Problem: Some children were queueing up outside the classroom. Counting from the front to the back, Chris was $13$\textsuperscript{th}~in line. Counting from the back to the front, Becky was $10$\textsuperscript{th}~in line. Chris was in front of Becky, and there were $$12$$ people standing between Chris and Becky. How many people were there in the queue? 
Options:
aoVal: A
content: $$23$$ 
aoVal: B
content: $$25$$ 
aoVal: C
content: $$35$$ 
aoVal: D
content: $$37$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences
Problem: For flights from a particular airport in January, there is a 30 percent chance of a flight being delayed because of icy weather. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delaved because of a mechanical problem. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delaved because of a mechanical problem. If one flight is selected at random from the airport in January, what is the probability that the flight selected will have at least one of the two types of delays\textquotesingle? 
Options:
aoVal: A
content: $$0.065$$ 
aoVal: B
content: $$0.335$$ 
aoVal: C
content: $$0.350$$ 
aoVal: D
content: $$0.450$$ 
aoVal: E
content: $$0.665$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables
Source: 其它
Problem: $$5$$ ones, $$2$$ tenths and $$53$$ thousandths is~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $$5.73$$ 
aoVal: B
content: $$5.073$$ 
aoVal: C
content: $$5.2053$$ 
aoVal: D
content: $$5.253$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals
Problem: A moon of Jupiter has a nearly circular orbit of radius R and an orbit period of T. Which of the following expressions gives the mass of Jupiter?  $\textasciitilde$  $\textasciitilde$  $\textasciitilde$ 
Options:
aoVal: A
content: $\dfrac{4\pi^{2}R}{T^{2}}$ 
aoVal: B
content: $\dfrac{2\pi R^{3}}{(GT^{2})}$ 
aoVal: C
content: $\dfrac{4\pi R^{2}}{(GT^{2})}$ 
aoVal: D
content: $\dfrac{4\pi^{2} R^{3}}{(GT^{2})}$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions
Source: 其它
Problem: Mike has $2$ shirts, $5$ pens, $4$ pairs of trousers, $2$ coats, $5$ apples, $3$ hammers, and $1$ bottle. How many pieces of clothes does Mike have? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$15$$ 
aoVal: E
content: $$22$$ 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: The digit $$6$$ in $$28.56$$ stands for $$6$$~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: ones　 
aoVal: B
content: tenths　 
aoVal: C
content: hundredths　 
aoVal: D
content: thousandths　 
Answer: C
Analysis: N/A.($$2013$$ Ai Tong School, Semestral Assessment $$2$$, Primary $$4$$, Question \#$$5$$) 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals
Problem: Calculate:  $100 \times 32 =$~\uline{~~~~~~~~~~}~$\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde$$1000 \times 72 =$~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: $2200$; $72000$ 
aoVal: B
content: $320$; $72000$ 
aoVal: C
content: $3200$; $72000$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $15\textbackslash\%$ of a number is $27$. What is five ninths of the number? 
Options:
aoVal: A
content: $$2.25$$ 
aoVal: B
content: $$4.05$$ 
aoVal: C
content: $$15$$ 
aoVal: D
content: $$100$$ 
aoVal: E
content: $$324$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation
Problem: A frog fell into a drain that was 20 cm deep. After one hour, it mastered enough  energy to make a jump of 6 cm but it then slid down 4 cm. If it continued in this  pattern every hour, how many hours in total will it take to get out of the drain? 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$7$$ 
aoVal: D
content: $$8$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Number Machine
Source: 其它
Problem: How many different real numbers~$x$~satisfy the equation~$(x^{2}-5)^{2}=16$? 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$1$$ 
aoVal: C
content: $$2$$ 
aoVal: D
content: $$4$$ 
aoVal: E
content: $$8$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions
Source: 其它
Problem: Mrs Lim had $$$99$$. She spent $$\frac{1}{3}$$ of it on a blouse and $$\frac{2}{9}$$ of it on a skirt. How much did she spend altogether? 
Options:
aoVal: A
content: $$$22$$ 
aoVal: B
content: $$$33$$ 
aoVal: C
content: $$$44$$ 
aoVal: D
content: $$$55$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: Which of the following is the ratio? 
Options:
aoVal: A
content: $$5\textasciitilde\text{meters}:2\textasciitilde\text{km}$$ 
aoVal: B
content: $$3\frac{1}{4}$$ 
aoVal: C
content: $$\frac{17}{13}$$ 
aoVal: D
content: $$0.8:2\frac{5}{4}$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions
Source: 其它
Problem: $$12\times 7=14+4\times 7+$$~\uline{~~~~~~~~~~}~$$\times 7$$  What is the missing number in the box? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$10$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers
Problem: Find the opposite of $$\textbar-0.\overline3\textbar$$:~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$-3$$ 
aoVal: C
content: $\frac{1}{3}$ 
aoVal: D
content: $-\frac{1}{3}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Mathematical Thoughts
Problem: $a$ and $$b$$ are reciprocals， $$\frac{12}{a}\div \frac{b}{7}\times 7=$$． 
Options:
aoVal: A
content: $$12$$ 
aoVal: B
content: $$588$$ 
aoVal: C
content: $$\frac{12}{ab}$$ 
aoVal: D
content: $$\frac{ab}{12}$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->Comparing and Ordering Fraction by Comparing Its Reciprocal
Source: 其它
Problem: Ala has $$24$$ dollars,Barb has $$66$$ dollars, and Sophia has as many dollars more than Ala as she has less than Barb. How many dollars does Sophia have? 
Options:
aoVal: A
content: $$33$$ 
aoVal: B
content: $$35$$ 
aoVal: C
content: $$42$$ 
aoVal: D
content: $$45$$ 
aoVal: E
content: $$48$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Applying the Theorem of Middle Term