math-eval/TAL-SCQ5K huggingface dataset:
Problem: The probability that a new microwave oven will stop working in less than 2 vears is 0.05. The probability that a new microwave oven is damaged during delivery and stops working in less than 2 vears is 0.04. The probability that a new microwave oven is damaged during delivery is 0. 10. Given that a new microwave oven is damaged during delivery, what is the probability that it stops working in less than 2 years? 
Options:
aoVal: A
content: $$0.05$$ 
aoVal: B
content: $$0.06$$ 
aoVal: C
content: $$0.10$$ 
aoVal: D
content: $$0.40$$ 
aoVal: E
content: $$0.50$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables
Source: 其它
Problem: Which fraction is equivalent to $$\frac{42}{54}$$? 
Options:
aoVal: A
content: $$\frac79$$ 
aoVal: B
content: $$\frac{6}{7}$$ 
aoVal: C
content: $$\frac1{12}$$ 
aoVal: D
content: $$\frac{21}{27}$$ 
aoVal: E
content: $$\frac97$$ 
Answer: A
Analysis: N/A． 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Using Common Factors to Simplify Fractions
Problem: Observe the following sequence and find the missing term.  $$5$$, $$14$$, $$23$$, $$32$$,~\uline{~~~~~~~~~~}~, $$50$$, $$59$$ 
Options:
aoVal: A
content: $$36$$ 
aoVal: B
content: $$38$$ 
aoVal: C
content: $$41$$ 
aoVal: D
content: $$44$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences
Problem: To solve $x^{}m\cdot (\frac{1}{x})^{}n$, we multiply the (~\uline{~~~~~~~~~~~~~~~~~~~~}~)while keeping the (~\uline{~~~~~~~~~~~~~~~~~~~~}~) . 
Options:
aoVal: A
content: base number, exponent 
aoVal: B
content: exponent, base number 
aoVal: C
content: I don\textquotesingle t know 
aoVal: D
content: I am gonna need a calculator 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers
Source: 其它
Problem: Consider a cross between pea plants. One parent has yellow seeds and the other parent has green seeds.~ If of the 20 offspring, 11 have yellow seeds and 9 have green seeds, what is the most likely genotypes of the parents? 
Options:
aoVal: A
content: YY x yy 
aoVal: B
content: Yy x Yy 
aoVal: C
content: Yy x yy 
aoVal: D
content: yy x yy 
aoVal: E
content: YY x Yy 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the value of the following sum?  $$2814+3700+4609+8211+9106-22900$$ 
Options:
aoVal: A
content: $$4450$$ 
aoVal: B
content: $$4540$$ 
aoVal: C
content: $$5540$$ 
aoVal: D
content: $$5450$$ 
aoVal: E
content: None of the above 
Answer: C
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: The first element of an arithmetic sequence is $$\frac{1}{3}$$ and the third element is $$\frac{1}{5}$$. What is the second element of this sequence? 
Options:
aoVal: A
content: $$\frac{1}{4}$$ 
aoVal: B
content: $$\frac{4}{15}$$ 
aoVal: C
content: $$\frac{5}{24}$$ 
aoVal: D
content: $$\frac{7}{30}$$ 
aoVal: E
content: $$\frac{2}{9}$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->The Number of Terms in an Arithmetic Sequence
Problem: The last five digits of Zoe\textquotesingle s phone number are $2$, $3$, $4$, $6$, and $8$. If four of these five numbers are filled in the square~$$\huge\square+\square =\square +\square $$, which number is not used?~(Adapted from 2017 Math Kangaroo Problem, Level 1-2, Question \#8) 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$6$$ 
aoVal: E
content: $$8$$ 
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
Source: 其它
Problem: Calculate the sum below.  $$19 + 6 + 12 + 13 + 21 + 4 + 8 + 17$$ 
Options:
aoVal: A
content: $$99$$ 
aoVal: B
content: $$100$$ 
aoVal: C
content: $$101$$ 
aoVal: D
content: $$102$$ 
aoVal: E
content: None of the above 
Answer: B
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the next number in the sequence below?  $$7, 8, 6, 9, 5, 10, \cdots$$ 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$11$$ 
aoVal: C
content: $$14$$ 
aoVal: D
content: $$15$$ 
aoVal: E
content: None of the above 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences
Source: 其它
Problem: Which of the following fractions is equivalent to $$\frac{2}{3}$$. 
Options:
aoVal: A
content: $$\frac{4}{5}$$ 
aoVal: B
content: $$\frac{5}{9}$$ 
aoVal: C
content: $$\frac{8}{9}$$ 
aoVal: D
content: $$\frac{8}{12}$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions
Source: 其它
Problem: Peter has $9$ dollars and $20$ cents. One can of soft drink costs $1.20$ dollarss, and one chocolate bar is $60$ cents cheaper than one can of soft drink. After buying $3$ cans of soft drink and two chocolate bars, how much does he have left? 
Options:
aoVal: A
content: $4.8.$ dollars 
aoVal: B
content: $4.2.$ dollars 
aoVal: C
content: $3.6.$ dollars 
aoVal: D
content: $5.4.$ dollars 
aoVal: E
content: $6.4.$ dollars 
Answer: A
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $0.4$ is the same as 
Options:
aoVal: A
content: $\dfrac{2}{5}$ 
aoVal: B
content: $\dfrac{1}{2}$ 
aoVal: C
content: $\dfrac{1}{4}$ 
aoVal: D
content: $\dfrac{4}{5}$ 
aoVal: E
content: $\dfrac{1}{3}$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Decimals into Fractions
Problem: Calculate.　  $$61\times 13+12\times 11=$$． 
Options:
aoVal: A
content: $$920$$ 
aoVal: B
content: $$925$$ 
aoVal: C
content: $$900$$ 
aoVal: D
content: $$910$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Problem: Which of the following is not an algebraic expression? 
Options:
aoVal: A
content: $4x-56$ 
aoVal: B
content: $4y+1=3$ 
aoVal: C
content: $3$ 
aoVal: D
content: $5-2$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions
Source: 其它
Problem: Cathy went to Miami the day before yesterday. It is Monday tomorrow. What day was the day when Cathy left for Miami? 
Options:
aoVal: A
content: Wednesday 
aoVal: B
content: Friday 
aoVal: C
content: Saturday 
aoVal: D
content: Sunday 
aoVal: E
content: Monday 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: A researcher is conducting a study of charitable donations by surveying a simple random sample of householdsin a certain city. The researcher wants to determine whether there is convincing statistical evidence that more than 50 percent of households in the city gave a charitable donation in the past year. Let p represent the proportion of all households in the city that gave a charitable donation in the past year. Which of the followingare appropriate hypotheses for the researcher? 
Options:
aoVal: A
content: H\textsubscript{0} : p = 0.5 and H\textsubscript{a}~: p \textgreater{} 0.5 
aoVal: B
content: H\textsubscript{0} : p = 0.5 and H\textsubscript{a}~: p * 0.5 
aoVal: C
content: H\textsubscript{0} : p = 0.5 and H\textsubscript{a} : p \textless{} 0.5 
aoVal: D
content: H\textsubscript{0}~: p \textgreater{} 0.5 and H\textsubscript{a} : p $\ne$0.5 
aoVal: E
content: H\textsubscript{0} : p \textgreater{} 0.5 and H\textsubscript{a} : p = 0.5 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $40\times\square=12000$  What number needs to go in the box to make the statement correct? 
Options:
aoVal: A
content: $$0.3$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$30$$ 
aoVal: D
content: $$300$$ 
aoVal: E
content: $$3000$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which number doesn\textquotesingle t round to 20? 
Options:
aoVal: A
content: $$16$$ 
aoVal: B
content: $$27$$ 
aoVal: C
content: $$21$$ 
aoVal: D
content: $$18$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Rounding Numbers
Source: 其它
Problem: $$\frac{2}{9} + \frac{2}{9} = $$~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: $$\frac{2}{18}$$ 
aoVal: B
content: $$\frac{4}{18}$$ 
aoVal: C
content: $$\frac{4}{9}$$ 
Answer: C
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions
Source: 其它
Problem: What fraction is exactly halfway between $\frac14$ and $\frac15$? 
Options:
aoVal: A
content: $\frac{9}{20}$ 
aoVal: B
content: $\frac{9}{40}$ 
aoVal: C
content: $\frac{3}{20}$ 
aoVal: D
content: $\frac{2}{9}$ 
aoVal: E
content: $\frac{4.5}{40}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the value of B? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$5$$ 
aoVal: D
content: $$7$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math
Source: 其它
Problem: 7.Daniel and Patrick had an equal number of stickers at first. Daniel then gave away 20 of his stickers to his friend Melvin, and Patrick bought another 12 stickers. In the end, Patrick had thrice as many stickers as Daniel. Find the number of stickers Daniel had at first? 
Options:
aoVal: A
content: $$35$$ 
aoVal: B
content: $$36$$ 
aoVal: C
content: $$37$$ 
aoVal: D
content: $$38$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math
Source: 其它
Problem: Lily left home at 4:15pm to go to the cinema and arrived at the cinema at 4:35pm. An hour and a half later, she finished watching the movie and went home. She spent the same time on her way home as she went to the cinema. When did Lily get home? 
Options:
aoVal: A
content: 5:25pm 
aoVal: B
content: 5:55pm 
aoVal: C
content: 6:05pm 
aoVal: D
content: 6:15pm 
aoVal: E
content: 6:25pm 
Answer: E
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Problem: We place the signs $$+$$, $$-$$ and $$=$$ between the digits: $$4$$ $$8$$ $$3$$ $$3$$ $$6$$ $$9$$ in such a way that an equality is made. The sequence of the signs is: ． 
Options:
aoVal: A
content: $$+$$, $$-$$, $$=$$, $$+$$, $$-$$ 
aoVal: B
content: $$=$$, $$-$$, $$-$$, $$-$$, $$+$$ 
aoVal: C
content: $$+$$, $$+$$, $$=$$, $$+$$, $$+$$ 
aoVal: D
content: $$+$$, $$=$$, $$-$$, $$-$$, $$+$$ 
aoVal: E
content: $$+$$, $$=$$, $\times$, $$-$$, $$+$$ 
Answer: E
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Adjacent Numbers can be formed into Multi-Digit
Problem: In the equation below each letter represents a digit. What digit is represented by the letter $$M$$?  $$4\times KLMNP4=4KLMNP$$ 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$1$$ 
aoVal: C
content: $$2$$ 
aoVal: D
content: $$3$$ 
aoVal: E
content: $$4$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)
Problem: From $1$ to $40$, how many integers can be chosen at most to ensure that no two of chosen numbers sum to $35$? 
Options:
aoVal: A
content: $$20$$ 
aoVal: B
content: $$22$$ 
aoVal: C
content: $$23$$ 
aoVal: D
content: $$24$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Constructing and Proving
Source: 其它
Problem: How is the number pattern changing?  5,3,6,6,11,12,17,21,~\uline{~~~~~~~~~~}~,~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: bigger 
aoVal: B
content: smaller 
aoVal: C
content: bigger and smaller 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Patterns of Figures
Source: 其它
Problem: Convert~$\dfrac{50}{4}$ to a mixed number in its simplest form. 
Options:
aoVal: A
content: $\dfrac{25}{2}$ 
aoVal: B
content: $10\dfrac{1}{4}$ 
aoVal: C
content: $12\dfrac{1}{2}$ 
aoVal: D
content: $12\dfrac{2}{4}$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math
Source: 其它
Problem: Suppose $a$, $b$, and $c$ are non-zero real numbers, and $a+b+c=0$. What are the possible value(s) for~$\dfrac{a}{\left\textbar{} a\right\textbar}+\dfrac{b}{\left\textbar{} b\right\textbar}+\dfrac{c}{\left\textbar{} c\right\textbar}+\dfrac{abc}{\left\textbar{} abc\right\textbar}$? 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: 1 and -1 
aoVal: C
content: 2 and -2 
aoVal: D
content: 0, 2 and -2 
aoVal: E
content: 0, 1 and -1 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Mathematical Thoughts->Absolute Value
Source: 其它
Problem: Yohan had 10 white socks, 10 red socks and 10 black socks in his drawer. How  many socks at most, must Yohan take from his drawer without looking, till he gets a pair of white socks? 
Options:
aoVal: A
content: $$11$$ 
aoVal: B
content: $$15$$ 
aoVal: C
content: $$21$$ 
aoVal: D
content: $$22$$ 
aoVal: E
content: $$23$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle
Source: 其它
Problem: Pip and Bud are arranging three symbols in a certain pattern. What is the 20th symbol in the sequence?  △○★△○★△○★\ldots\ldots{} 
Options:
aoVal: A
content: △ 
aoVal: B
content: ○ 
aoVal: C
content: ★ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition->Single Cycle Race
Source: 其它
Problem: Sara, Mary, Linda and Karina are comparing their heights.  (1) Linda says: "I\textquotesingle m taller than Karina."  (2) Sara says: "I\textquotesingle m taller than Linda."  (3) Linda is shorter than Mary.  Who is the shortest? 
Options:
aoVal: A
content: Sara 
aoVal: B
content: Mary 
aoVal: C
content: Linda 
aoVal: D
content: Karina 
aoVal: E
content: This cannot be determined 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning
Problem: What is the smallest possible number of children in a family where each child has at least one brother and at least one sister? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$5$$ 
aoVal: E
content: $$6$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning
Problem: There are three songs on a certain CD. The first song is $$6$$ minutes and $$25$$ seconds long, the second song is $$12$$ minutes and $$25$$ seconds long, and the third song is $$10$$ minutes and $$13$$ seconds long. How long does it take to play the whole CD? 
Options:
aoVal: A
content: $$28$$ minutes $$30$$ seconds 
aoVal: B
content: $$29$$ minutes $$3$$ seconds 
aoVal: C
content: $$38$$ minutes $$10$$ seconds 
aoVal: D
content: $$31$$ minutes $$13$$ seconds 
aoVal: E
content: $$31$$ minutes $$23$$ seconds 
Answer: B
Analysis: N/A． 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Problem: Andrea needs an hour to get to the shopping center. If she leaves at $$4$$ PM, she gets there half an hour after the store closes. If she leaves at $$8$$ AM, she gets there half an hour before the store opens. What hours is the shopping center open? ($$2007$$ Math Kangaroo Problem, Level $$1-2$$, Question \#$$24$$) 
Options:
aoVal: A
content: $$7^{30}$$ to $$4^{30}$$ 
aoVal: B
content: $$8^{30}$$ to $$5^{30}$$ 
aoVal: C
content: $$7^{30}$$ to $$5^{30}$$ 
aoVal: D
content: $$8^{30}$$ to $$4^{30}$$ 
aoVal: E
content: $$9^{30}$$ to $$4^{30}$$ 
Answer: E
Analysis: N/A.　 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Problem: Given five different points on a line, labeled in order as $$A\_{1}$$, $$A\_{2}$$, $$A\_{3}$$, $$A\_{4}$$, $$A\_{5}$$. Point $$P$$ is placed on the line in such a way that the sum of the lengths $$\left\textbar{} P{{A}\_{1}} \right\textbar+\left\textbar{} P{{A}\_{2}} \right\textbar+\left\textbar{} P{{A}\_{3}} \right\textbar+\left\textbar{} P{{A}\_{4}} \right\textbar+\left\textbar{} P{{A}\_{5}} \right\textbar$$ is minimal. Then：． 
Options:
aoVal: A
content: $$P=A\_{1}$$ 
aoVal: B
content: $$P=A\_{2}$$ 
aoVal: C
content: $$P=A\_{3}$$ 
aoVal: D
content: $$P$$ may be any point between $$A\_2$$ and $$A\_{4}$$ 
aoVal: E
content: $$P$$ may be any point between $$A\_1$$ and $$A\_5$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Planning->Planning on Location->Equally Important for Every Points
Problem: Jola has four candles. Each of her candles burns itself our within three hours. Jola lit two candles and placed them next to an open window. $$30$$ minutes later the wind blew out one candle, and another hour later the wind blew out another candle. Then Jola closed the window and lit all four candles. How long after this moment will the last candle burn out? 
Options:
aoVal: A
content: $$1\text{ hr }30\text{ min}$$ 
aoVal: B
content: $$2\text{ hr}$$ 
aoVal: C
content: $$3\text{ hr}$$ 
aoVal: D
content: $$7\text{ hr }30\text{ min}$$ 
aoVal: E
content: $$8\text{ hr}$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Problem: A certain box contains $$15$$ balls that are coloured red and blue (both colours on each ball), $$12$$ balls that are coloured blue and green, and $$9$$ balls that are coloured green and red. What is the smallest number of balls that must be selected to guarantee that you have at least seven balls that share a colour? 
Options:
aoVal: A
content: $$7$$ 
aoVal: B
content: $$8$$ 
aoVal: C
content: $$9$$ 
aoVal: D
content: $$10$$ 
aoVal: E
content: $$11$$ 
Answer: D
Analysis: N/A.(US $$2006$$ Math kangaroo Problems, Level $$9-10$$, Question \#$$19$$) 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems
Problem: How many small squares we need at least in the big square? 
Options:
aoVal: A
content: $3\times3$ 
aoVal: B
content: $6\times6$ 
aoVal: C
content: $9\times9$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math
Source: 其它
Problem: 15. Jensen and Benny had $328$ cookies. If Jensen gave Benny $36$ cookies, Jensen would have thrice as many cookies as Benny. How many cookies did Jensen have?~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: $$382$$ 
aoVal: B
content: $$292$$ 
aoVal: C
content: $$272$$ 
aoVal: D
content: $$282$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math
Source: 其它
Problem: Fill the operation signs "$$+$$" or~"$$-$$" in the squares below to make the equation true.  $$4\square 3\square 2\square1=8$$ 
Options:
aoVal: A
content: $$+$$, $$-$$, $$+$$ 
aoVal: B
content: $$-$$, $$+$$, $$-$$ 
aoVal: C
content: $$+$$, $$+$$, $$-$$ 
aoVal: D
content: $$+$$, $$+$$, $$+$$ 
aoVal: E
content: $$-$$, $$-$$, $$-$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Filling the Symbol in the Equations
Problem: 9. Raymond and Victor had the same amount of money at first. After Raymond spent $$$12$$, Victor had 4 times as much money as Raymond in the end. How much money did each of them have at first? 
Options:
aoVal: A
content: $$14$$ 
aoVal: B
content: $$15$$ 
aoVal: C
content: $$16$$ 
aoVal: D
content: $$17$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math
Source: 其它
Problem: Junlong spent $$150min$$ reading a storybook. Express the time spent in hours and minutes. 
Options:
aoVal: A
content: $$2 \space h \space50 \space min$$ 
aoVal: B
content: $$2 \space h \space30 \space min$$ 
aoVal: C
content: $$1 \space h \space50 \space min$$ 
aoVal: D
content: $$1 \space h \space30 \space min$$ 
Answer: B
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem
Source: 其它
Problem: Green went out to travel on May $27$, $2022$. There are $31$ days in May. It took him $6$ days to reach the destination. When did he reach the destination? 
Options:
aoVal: A
content: on May $31$ 
aoVal: B
content: on June $1$ 
aoVal: C
content: on June $2$ 
aoVal: D
content: on June $3$ 
aoVal: E
content: on June $5$ 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Source: 其它
Problem: Which set of signs $$+$$ and $$-$$ needs to be placed in the boxes to make the expression true?  $$4\square 3\square 2\square 1=8$$ 
Options:
aoVal: A
content: $$+$$, $$-$$, $$+$$ 
aoVal: B
content: $$-$$, $$+$$, $$-$$ 
aoVal: C
content: $$+$$, $$+$$, $$-$$ 
aoVal: D
content: $$+$$, $$+$$, $$+$$ 
aoVal: E
content: $$-$$, $$+$$, $$+$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Filling the Symbol in the Equations
Problem: An object is moving to the west at a constant speed. Three forces are exerted on the object. One force is 5 N directed due north, and another is 5 N directed due west. What is the magnitude and direction of the third force if the object is to continue moving to the west at a constant speed? 
Options:
aoVal: A
content: $5\sqrt{3}$~N, directed northwest 
aoVal: B
content: $5\sqrt{3}$~N, directed southeast 
aoVal: C
content: $5\sqrt{2}$~N, directed northwest 
aoVal: D
content: $5\sqrt{2}$~N, directed southeast 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Directions and Coordinates
Source: 其它
Problem: If four identical equilateral triangles are put together to form a new shape, which of these can be the shape they form? 
Options:
aoVal: A
content: $$$$rectangle 
aoVal: B
content: $$$$trapezium 
aoVal: C
content: $$$$square 
aoVal: D
content: $$$$parallelogram 
aoVal: E
content: $$$$pentagon 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Operational Problem->Jigsaw
Problem: Johnson arrives at the office at $$10:30am$$ everyday. If it takes him $$55$$ minutes to go to the office, at what time does he set off from home office? 
Options:
aoVal: A
content: $$11:25am$$ 
aoVal: B
content: $$10:35am$$ 
aoVal: C
content: $$9:25am$$ 
aoVal: D
content: $$9:35am$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem
Source: 其它
Problem: Mia is going to watch a movie tomorrow. The movie will start at $$10:45$$ am, and end at $11:55$ am. How long will the movie last? 
Options:
aoVal: A
content: $$1h10min$$ 
aoVal: B
content: $$2h10min$$ 
aoVal: C
content: $$1h20min$$ 
aoVal: D
content: $$2h20min$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem
Source: 其它
Problem: A boy named Peter has as many brothers as sisters. His sister Ann has twice as many brothers as sisters. How many children are there in the family? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$5$$ 
aoVal: D
content: $$6$$ 
aoVal: E
content: $$7$$ 
Answer: E
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning