math-eval/TAL-SCQ5K huggingface dataset:
Problem: A fair six-sided die, with sides numbered 1-6, is rolled five times in a row. On each roll, the result was a 3. What is the probability of rolling a 3 on the next roll? 
Options:
aoVal: A
content: $\dfrac{1}{6}$ 
aoVal: B
content: $\dfrac{1}{12}$ 
aoVal: C
content: $\left( \dfrac{1}{6}\right)^{5\textbackslash{} }\left( \dfrac{5}{6}\right)$ 
aoVal: D
content: $\left( \dfrac{6}{1}\right)\left( \dfrac{1}{6}\right)^{5}\left( \dfrac{5}{6}\right)$ 
aoVal: E
content: $$1$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: One day Randy was bored and he wrote all the whole numbers from 49 to 97  on his paper. How many times did he write the digit"8" on his paper? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$8$$ 
aoVal: C
content: $$11$$ 
aoVal: D
content: $$13$$ 
aoVal: E
content: None of the above 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: A football weighs $450\rm g$ and an empty box weighs $1.5\rm kg$.  After some identical footballs are placed inside a box, the box weighs $12.3\rm kg$.  How many footballs are there in the box? 
Options:
aoVal: A
content: $$18$$ 
aoVal: B
content: $$22$$ 
aoVal: C
content: $$24$$ 
aoVal: D
content: $$28$$ 
aoVal: E
content: $$20$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of these expressions equals $2009$? 
Options:
aoVal: A
content: $5^{2}\times80$ 
aoVal: B
content: $6^{2}\times56$ 
aoVal: C
content: $7^{2}\times41$ 
aoVal: D
content: $8^{2}\times31$ 
aoVal: E
content: $9^{2}\times29$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Power->Understanding the meaning of Power
Problem: Which is the best estimate for $\frac{0.521\times59.34}{5.89}$? 
Options:
aoVal: A
content: $$0.05$$ 
aoVal: B
content: $$0.5$$ 
aoVal: C
content: $$5$$ 
aoVal: D
content: $$50$$ 
aoVal: E
content: $$500$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating
Source: 其它
Problem: Which fraction is equivalent to $$\frac{28}{35}$$? 
Options:
aoVal: A
content: $$\frac75$$ 
aoVal: B
content: $$\frac{5}{7}$$ 
aoVal: C
content: $$\frac4{7}$$ 
aoVal: D
content: $$\frac{4}{5}$$ 
aoVal: E
content: $$\frac17$$ 
Answer: D
Analysis: N/A． 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Properties of Fractions
Problem: Express $$1\frac{17}{25}$$ as a decimal. 
Options:
aoVal: A
content: $$1.725$$ 
aoVal: B
content: $$1.68$$ 
aoVal: C
content: $$1.25$$ 
aoVal: D
content: $$1.17$$ 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: $$16+4\times 8=$$  What should we do first? 
Options:
aoVal: A
content: x 
aoVal: B
content: $$+$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Source: 其它
Problem: Evaluate this expression $$5(6x + 7y-8z)$$．  $$x = 9$$  $$y = 3$$  $$z = 6$$ 
Options:
aoVal: A
content: $$95$$ 
aoVal: B
content: $$120$$ 
aoVal: C
content: $$135$$ 
aoVal: D
content: $$180$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Substituting the Values into the Expressions
Problem: $$45$$ is a common multiple of~ . 
Options:
aoVal: A
content: $$5$$ and $$4$$ 
aoVal: B
content: $$5$$ and $$7$$ 
aoVal: C
content: $$5$$ and $$9$$ 
aoVal: D
content: $$5$$ and $$10$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division
Problem: To the number $$209$$ we add $$212$$. Then we multiply the result by $$29$$ and then we add $$208$$. Then the final result will be same as the result of the computation:． 
Options:
aoVal: A
content: $$209+212\times 29+208$$ 
aoVal: B
content: $$(209+212\times 29)+208$$ 
aoVal: C
content: $$(209+212)\times 29+208$$ 
aoVal: D
content: $$(209+212)\times (29+\textasciitilde208)$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Problem: $17-$~\uline{~~~~~~~~~~}~$=11$ 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$4$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
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: $$48$$ 
aoVal: D
content: $$12$$ 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation
Source: 其它
Problem: Which of the following equations is correct? 
Options:
aoVal: A
content: $5\times5\times5\times5=4^{5}$ 
aoVal: B
content: $2\times 3\times5\times2\times3=2^{2}\times3\times5$ 
aoVal: C
content: $3^{6}=6\times6\times6$ 
aoVal: D
content: $5\times11\times2\times5\times3\times11=2\times3\times5^{2}\times11^{2}$ 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers
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->Calculation Modules
Source: 其它
Problem: The harmonic mean of a set of non-zero numbers is the reciprocal of the average of the reciprocals of the numbers. What is the harmonic mean of $1$, $2$, and $4$? 
Options:
aoVal: A
content: $\dfrac{3}{7}$ 
aoVal: B
content: $\dfrac{7}{12}$ 
aoVal: C
content: $\dfrac{12}{7}$ 
aoVal: D
content: $\dfrac{7}{4}$ 
aoVal: E
content: $\dfrac{7}{3}$ 
Answer: C
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: What is $$1.87+21.3$$? 
Options:
aoVal: A
content: $$30$$ 
aoVal: B
content: $$22.8$$ 
aoVal: C
content: $$22.17$$ 
aoVal: D
content: $$23.17$$ 
aoVal: E
content: $$23.1$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals
Problem: How many numbers are there in the list below?  $$6\frac{1}{3}, 7, 7\frac{2}{3}, 8\frac{1}{3}, \cdots, 30\frac{1}{3}, 31$$ 
Options:
aoVal: A
content: $$25$$ 
aoVal: B
content: $$26$$ 
aoVal: C
content: $$38$$ 
aoVal: D
content: $$37$$ 
aoVal: E
content: None of the above 
Answer: C
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Patterns
Source: 其它
Problem: ${\frac{9}{24}=\frac{15}{\Box}}$  What is the missing number in the box? $$ 
Options:
aoVal: A
content: $$18$$ 
aoVal: B
content: $$30$$ 
aoVal: C
content: $$40$$ 
aoVal: D
content: $$48$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions
Source: 其它
Problem: Ron and Steven start driving towards each other from two places that are $2000$ metres apart at the same time. When they pass through each other, Ron has driven $500$ metres. What is the ratio of the speeds of Ron to Steven? 
Options:
aoVal: A
content: $3:1$ 
aoVal: B
content: $1:3$ 
aoVal: C
content: $2:3$ 
aoVal: D
content: $3:2$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions
Source: 其它
Problem: What is the value of the following sum?  $$119+215+317+418+514+613+716+811+912$$ 
Options:
aoVal: A
content: $$4420$$ 
aoVal: B
content: $$4590$$ 
aoVal: C
content: $$4635$$ 
aoVal: D
content: $$4640$$ 
aoVal: E
content: None of the above 
Answer: C
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Is -1 a rational number? 
Options:
aoVal: A
content: Yes 
aoVal: B
content: No 
aoVal: C
content: Not sure 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers
Source: 其它
Problem: Study the number pattern below.  $$4$$, $$8$$, $$12$$,~\uline{~~~~~~~~~~}~, $$20$$, $$24$$, $$28$$  What is the missing number in the pattern? 
Options:
aoVal: A
content: $$13$$ 
aoVal: B
content: $$14$$ 
aoVal: C
content: $$15$$ 
aoVal: D
content: $$16$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences
Problem: $$4-(-2)=$$?~ ~$$(-2)\times3=$$? 
Options:
aoVal: A
content: $$6$$, $$-6$$ 
aoVal: B
content: $$-6$$, $$6$$ 
aoVal: C
content: $$6$$, $$6$$ 
aoVal: D
content: $$-6$$, $$-6$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division
Problem: The length of a sheet of paper is $10$ inches. What is this length in centimeters ? 
Options:
aoVal: A
content: $25.4$ 
aoVal: B
content: $2.54$ 
aoVal: C
content: $2.5$ 
aoVal: D
content: $25$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion
Source: 其它
Problem: Geena had $$8y$$ paper clips. She used $$4$$ paper clips and gave the rest to her friends, Megan and Bryan. Megan received twice as many paper clips as Bryan. Find the number of paper clips Bryan received in terms of $$y$$.． 
Options:
aoVal: A
content: $$\frac{8y-4}{2}$$ 
aoVal: B
content: $$\frac{8y-4}{3}$$ 
aoVal: C
content: $$\frac{16y-8}{2}$$ 
aoVal: D
content: $$\frac{16y-8}{3}$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions
Problem: Debbie is interested in determining if music helps people study. To do this, she uses the help of 40 students in her psychology class. She randomly assigns half the people to study with music in the background for an hour, and the other half study with no music for an hour. The students then take a test on that material. In this example, what is the independent variable? 
Options:
aoVal: A
content: Music versus no music 
aoVal: B
content: Group that studies with no music 
aoVal: C
content: Group that studies with music 
aoVal: D
content: ~Scores on the exam 
aoVal: E
content: Students in the class 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Let $$a\square b=ab+a+b$$ for any real numbers $$a$$, $$b$$. The solution of the equation $$3\square 5=2\square x$$ is:． 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$7$$ 
aoVal: D
content: $$10$$ 
aoVal: E
content: $$12$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Unknowns Using the Given Operations
Problem: Put these numbers in order from the smallest to the biggest.  $$0.525\textasciitilde\textasciitilde\textasciitilde\textasciitilde{} 0.7\textasciitilde\textasciitilde\textasciitilde\textasciitilde0.35\textasciitilde\textasciitilde\textasciitilde\textasciitilde0.175$$ 
Options:
aoVal: A
content: $$0.7$$, $$0.525$$, $$0.35$$, $$0.175$$ 
aoVal: B
content: $$0.175$$, $$0.525$$, $$0.35$$, $$0.7$$ 
aoVal: C
content: $$0.175$$, $$0.35$$, $$0.525$$, $$0.7$$ 
aoVal: D
content: $$0.7$$, $$0.35$$, $$0.175$$, $$0.525$$ 
aoVal: E
content: $$0.175$$, $$0.35$$, $$0.7$$, $$0.525$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals
Problem: There are 70 teachers in an elementary school. The male to female ratio of this school can\textquotesingle t be~~\uline{~~~~~~~~~~}~.（⭐⭐） 
Options:
aoVal: A
content: 1：2 
aoVal: B
content: 2：3 
aoVal: C
content: 3：4 
aoVal: D
content: 1：6 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions
Source: 其它
Problem: There are two options with $$\triangle $$ and $$\bigcirc $$.  $$\bigcirc +8=13 $$  $$\triangle \times \bigcirc =15 $$.  What number does the $$\triangle$$ represent? 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$6$$ 
aoVal: E
content: $$7$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Problem: The reciprocal of $\frac{1}{1456^{(-3)}}$ is~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $1456^{(-3)}$ 
aoVal: B
content: $1456^{3}$ 
aoVal: C
content: $-1456^{(-3)}$ 
aoVal: D
content: $-1456^{3}$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers
Source: 其它
Problem: If we remove the percentage sign in $$31.4\textbackslash\%$$, then the result will be． 
Options:
aoVal: A
content: $$100$$ times the origional 
aoVal: B
content: $$\frac{1}{100}$$ of the original 
aoVal: C
content: the same 
Answer: A
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation
Source: 其它
Problem: At a launch angle of 45°, the range of a launched projectile is given by 
Options:
aoVal: A
content: $\dfrac{v\_{i}^{2}}{g}$ 
aoVal: B
content: $\dfrac{2v\_{i}^{2}}{g}$ 
aoVal: C
content: $\dfrac{v\_{i}^{2}}{2g}$ 
aoVal: D
content: $\sqrt{\dfrac{v\_{i}^{2}}{2g}}$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the product of $$628$$ and $$6$$? 
Options:
aoVal: A
content: $$3628$$ 
aoVal: B
content: $$3668$$ 
aoVal: C
content: $$3728$$ 
aoVal: D
content: $$3768$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas
Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Multiplication of Whole Numbers->Multiplication of Multi-Digit Numbers and 1-Digit Numbers->Multiplication of 3-Digit and 1-Digit (with regrouping for more than once)
Problem: $$30 \div 2 \textgreater{}x^{2}$$  Which of these numbers is the largest number $$x$$ could be? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$4$$ 
aoVal: E
content: $$5$$ 
Answer: C
Analysis: N/A.  revise from (GL Assessment book$$2$$《Paper $$6$$》 $$6$$ years Question \#$$15$$) 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities->Solving Inequalities
Problem: Function $$f$$ is defined for the set of all natural number as follows:  $$f(n)=\begin{cases}n+5, \text{when } n \text{ is odd}\textbackslash\textbackslash{} \dfrac{n}{2}, \text{when } n \text{ is even}\end{cases}$$,  What is the sum of the digits of the odd number $$k$$ if $$f(f(f(k)))=35$$? 
Options:
aoVal: A
content: $$8$$ 
aoVal: B
content: $$9$$ 
aoVal: C
content: $$10$$ 
aoVal: D
content: $$12$$ 
aoVal: E
content: $$15$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Operations with New Definition in Flow Charts
Problem: Which of the following is equivalent to the expression $\frac{a^{-2}b^{3}}{ab^{-1}}$ ?  $\textasciitilde$ 
Options:
aoVal: A
content: $\frac{a^{3}}{b^{4}}$ 
aoVal: B
content: $\frac{b^{4}}{a^{3}}$ 
aoVal: C
content: $a^{-1}b^{2}$ 
aoVal: D
content: $\frac{1}{a^{2}b^{3}}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $6, 10, 18, 30, 46\dots$What number comes next in the sequence? 
Options:
aoVal: A
content: $$66$$ 
aoVal: B
content: $$54$$ 
aoVal: C
content: $$64$$ 
aoVal: D
content: $$68$$ 
aoVal: E
content: $$72$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Martha prepares cupcakes with $3$ eggs each. A package of eggs has $18$ eggs. How many cupcakes can she prepare from two and a half packages of eggs? 
Options:
aoVal: A
content: $$6$$ 
aoVal: B
content: $$9$$ 
aoVal: C
content: $$12$$ 
aoVal: D
content: $$15$$ 
aoVal: E
content: $$18$$ 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of these numbers is closest in value to $$1$$? 
Options:
aoVal: A
content: $$1.1$$ 
aoVal: B
content: $$0.98$$ 
aoVal: C
content: $$0.9$$ 
aoVal: D
content: $$1.09$$ 
aoVal: E
content: $$1.9$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals
Problem: Find the next term of the following sequence: 1, 1, 2,~ 3, 5, $\cdots $ 
Options:
aoVal: A
content: $$6$$ 
aoVal: B
content: $$7$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$9$$ 
aoVal: E
content: $$10$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences
Source: 其它
Problem: Bud practises her violin for $25$ minutes every day. For how long does she practise each week? 
Options:
aoVal: A
content: $1$h$55$min 
aoVal: B
content: $2$h$55$min 
aoVal: C
content: $1$h$35$min 
aoVal: D
content: $2$h$45$min 
aoVal: E
content: $3$h$05$min 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $$4$$+$$17$$ is the same as~\uline{~~~~~~~~~~}~+$$6$$. 
Options:
aoVal: A
content: $$14$$ 
aoVal: B
content: $$13$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$15$$ 
aoVal: E
content: $$17$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Every half hour, one bacterium divides into two bacterias. In the very beginning, there is only 1 bacterium. After $$2$$ hours, there are  bacteria. 
Options:
aoVal: A
content: $$8$$ 
aoVal: B
content: $$16$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$32$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers
Source: 其它
Problem: A computerized sewing machine has four independent parts: mechanical, circuit board, touch screen, and power control. The probability that each wil fail within the first year is 0.01, 0.02, 0.001, and 0.03, respectively. If one of them fails then the machine does not work. What is the approximate probability that the machine is still working at the end of the first year? 
Options:
aoVal: A
content: $$0.930$$ 
aoVal: B
content: $$0.939$$ 
aoVal: C
content: $$0.940$$ 
aoVal: D
content: $$0.960$$ 
aoVal: E
content: greater than 99\% 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: There are $$4$$ number patterns as shown below.  In a number pattern, the digit in the ones place increases by $$1$$.  Tick the correct box that shows the number pattern. 
Options:
aoVal: A
content: $$47$$, $$57$$, $$67$$, $$77$$ 
aoVal: B
content: $$57$$, $$56$$, $$55$$, $$54$$ 
aoVal: C
content: $$92$$, $$93$$, $$94$$, $$95$$ 
aoVal: D
content: $$68$$, $$70$$, $$72$$, $$74$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences
Problem: If Marlon, there were $$30$$ days last month, $$12$$ of which were sunny. What is the percent of the days NOT sunny? 
Options:
aoVal: A
content: $$36\textbackslash\%$$ 
aoVal: B
content: $$40\textbackslash\%$$ 
aoVal: C
content: $$60\textbackslash\%$$ 
aoVal: D
content: $$64\textbackslash\%$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: The numbers $2$, $3$, $4$, $5$, $7$, $13$ and $14$ are divided into $$3$$ groups of one or more numbers. The sum of the numbers in each group is the same. Which number must be in the group with the number $5$? 
Options:
aoVal: A
content: Only $$7$$ 
aoVal: B
content: Only $$3$$ 
aoVal: C
content: Only $$4$$ 
aoVal: D
content: $$7$$ and $$3$$ 
aoVal: E
content: $$7$$ and $$4$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers
Source: 其它
Problem: $$5+5+5+5=$$~\uline{~~~~~~~~~~}~$$\times 5$$. 
Options:
aoVal: A
content: $$15$$ 
aoVal: B
content: $$20$$ 
aoVal: C
content: $$5$$ 
aoVal: D
content: $$4$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division
Problem: In an ice-cream shop there was some money in a drawer. After selling 6 ice cream cones, there are 70 dollars in the drawer. After selling a total of 16 ice cream cones, there are 120 dollars in the drawer. How many dollars were there in the drawer at the start? (2021 Math Kangaroo Problem, Level 3-4, Question \#13) 
Options:
aoVal: A
content: $$20$$ 
aoVal: B
content: $$30$$ 
aoVal: C
content: $$40$$ 
aoVal: D
content: $$50$$ 
aoVal: E
content: $$60$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Choose the smallest number. 
Options:
aoVal: A
content: $$7$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$5$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers
Source: 其它
Problem: What number is forty times greater than $1.5$? 
Options:
aoVal: A
content: $$41.5$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$15.5$$ 
aoVal: D
content: $$60$$ 
aoVal: E
content: $$45$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: In a class of $$40$$ pupils, there are $$10$$ more boys than girls.  What is the ratio of the number of girls to the number of boys? 
Options:
aoVal: A
content: $$5:3$$ 
aoVal: B
content: $$3:1$$ 
aoVal: C
content: $$1:3$$ 
aoVal: D
content: $$3:5$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio
Problem: Calculate:  $3\times100=$~\uline{~~~~~~~~~~}~$\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde$$1000\times7=$~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: $300$; $700$ 
aoVal: B
content: $3000$; $7000$ 
aoVal: C
content: $300$; $7000$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: The $5$-digit number $\overline {2023A}$ is divisible by $9$.  What is the remainder when this number is divided by $5$? 
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->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers
Source: 其它
Problem: Round off $$61805$$ to the nearest thousand. 
Options:
aoVal: A
content: $$60000$$ 
aoVal: B
content: $$61000$$ 
aoVal: C
content: $$61800$$ 
aoVal: D
content: $$62000$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers
Problem: $126\div x=14$  What is the value of $x$? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$9$$ 
aoVal: D
content: $$12$$ 
aoVal: E
content: $$19$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它