math-eval/TAL-SCQ5K huggingface dataset:
Problem: Zachary left a birthday party at $$2.05$$ p.m.  He was at the party for $$3$$ $$\text{h}$$ $$15$$ $$\min $$.  At what time did he arrive at the party? ． 
Options:
aoVal: A
content: $$5.20$$ a.m. 
aoVal: B
content: $$10.50$$ a.m. 
aoVal: C
content: $$5.20$$ p.m. 
aoVal: D
content: $$10.50$$ p.m. 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Problem: David takes $$30$$ seconds to climb from the first floor to the third floor. How many seconds will it take him to climb from the third floor to the sixth floor? 
Options:
aoVal: A
content: $$30$$ seconds 
aoVal: B
content: $$35$$ seconds 
aoVal: C
content: $$40$$ seconds 
aoVal: D
content: $$45$$ seconds 
aoVal: E
content: $$50$$ seconds 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication
Source: 其它
Problem: There are $$3$$ red balls, $$5$$ blue balls and $$2$$ yellow balls of the same size in an opaque bag. Amy takes one randomly from the bag. The probability of choosing a red ball is~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $\frac1{12}$ 
aoVal: B
content: $\frac1{2}$ 
aoVal: C
content: $\frac1{5}$ 
aoVal: D
content: $\frac3{10}$ 
aoVal: E
content: $\frac1{6}$ 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability
Source: 其它
Problem: Ali took a bus from Singapore to Malacca at $$10.45$$ p.m. The bus ride took $$4\text{h}40$$$$\min $$. What time did he reach Malacca? 
Options:
aoVal: A
content: $$03:25$$ 
aoVal: B
content: $$04:25$$ 
aoVal: C
content: $$14:25$$ 
aoVal: D
content: $$15:25$$ 
Answer: A
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: What is the missing sign in the box?  $$18=3\square 6$$ 
Options:
aoVal: A
content: $$\times $$ 
aoVal: B
content: $$-$$ 
aoVal: C
content: $$+$$ 
aoVal: D
content: $$\div $$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)
Problem: Evaluate: $7320\div60$ 
Options:
aoVal: A
content: $1.22$ 
aoVal: B
content: $12.2$ 
aoVal: C
content: $122$ 
aoVal: D
content: $1220$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle
Source: 其它
Problem: How long is it, in hours and minutes, between $$10:28$$ and $$16:06$$? 
Options:
aoVal: A
content: $$5$$h$$38$$min 
aoVal: B
content: $$8$$h$$34$$min 
aoVal: C
content: $$5$$h$$36$$min 
aoVal: D
content: $$26$$h$$34$$min 
aoVal: E
content: $$4$$h$$33$$min 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation
Problem: A bag contains $3$ red and $6$ green marbles. If you pick out a marble at random, what isthe chance that it will be red? 
Options:
aoVal: A
content: $\dfrac{1}{3}$ 
aoVal: B
content: $\dfrac{1}{2}$ 
aoVal: C
content: $\dfrac{1}{9}$ 
aoVal: D
content: $\dfrac{2}{3}$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Simple Questions Involving Probability->Possibility
Problem: Beartrice purchased an enomous pie weighing $2.5\textasciitilde kg$. She gave $\frac{3}{13}$ of her pie to her friend Platilocks. She cut the remainder equally into $5$ slices. What fraction of the whole cake was each slice? 
Options:
aoVal: A
content: $\frac{3}{10}$ 
aoVal: B
content: $\frac{2}{13}$ 
aoVal: C
content: $\frac{5}{13}$ 
aoVal: D
content: $\frac{1}{5}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle
Source: 其它
Problem: Three kids $$A$$、$$B$$、$$C$$ are playing the game "pass the ball". If it starts with A, he can pass the ball to~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $$A$$ or $$B$$ or $$C$$ 
aoVal: B
content: $$B$$ or $$C$$ 
aoVal: C
content: $$A$$ or $$C$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Tree Diagrams
Problem: Fill in the correct signs of operation.  $$54-(34-28)=54-34$$~\uline{~~~~~~~~~~}~$$28$$  $$119-27-73=119-(27$$~\uline{~~~~~~~~~~}~$$73)$$ 
Options:
aoVal: A
content: $$-$$; $$-$$ 
aoVal: B
content: $$-$$; $$+$$ 
aoVal: C
content: $$+$$; $$-$$ 
aoVal: D
content: $$+$$; $$+$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: Uncle John has a farm. His wife and his two sons are staying with him in the farm. They raise $$10$$ cows and $$20$$ chickens. How many total legs are there in the farm? 
Options:
aoVal: A
content: $$60$$ 
aoVal: B
content: $$80$$ 
aoVal: C
content: $$86$$ 
aoVal: D
content: $$88$$ 
aoVal: E
content: $$120$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication
Source: 其它
Problem: How many more rabbits than ducklings are there? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$7$$ 
aoVal: D
content: $$10$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Carroll Diagrams
Source: 其它
Problem: Toss a fair coin five times. What is the probability of getting five heads? 
Options:
aoVal: A
content: $$\frac{1}{5}$$ 
aoVal: B
content: $$\frac{3}{8}$$ 
aoVal: C
content: $$\frac{1}{16}$$ 
aoVal: D
content: $$\frac{1}{32}$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Basic Concepts of Probability
Problem: The athlete receives $10$ grades in the exercise: $$4$$, $$6$$, $$8$$, $$7$$, $$6$$, $$6$$, $$5$$, $$6$$, $$6$$, and $$5$$.  Which of the following are of two same numbers? 
Options:
aoVal: A
content: The median and the mean 
aoVal: B
content: The mean and the mode 
aoVal: C
content: The median and the mode 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability
Source: 其它
Problem: The sum of five different positive odd numbers is $$85$$. The largest number can at most be~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $$69$$ 
aoVal: B
content: $$35$$ 
aoVal: C
content: $$25$$ 
aoVal: D
content: $$21$$ 
aoVal: E
content: $$17$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums
Problem: A shop sells sweets where every $3$ sweet wrappers can be exchanged for one more sweet. Ali has enough money to buy only $7$ sweets. What is the biggest number of sweets that he can get from the shop? 
Options:
aoVal: A
content: $$7$$ 
aoVal: B
content: $$8$$ 
aoVal: C
content: $$9$$ 
aoVal: D
content: $$10$$ 
aoVal: E
content: $$11$$ 
Answer: D
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition
Source: 其它
Problem: $$\boxed{1}\textasciitilde\textasciitilde\boxed{2}\textasciitilde\textasciitilde\boxed{3}\textasciitilde\textasciitilde\boxed{4}$$  Jane uses these four number cards to make two 2-digit numbers and works out the sum.  $$\square\textasciitilde\textasciitilde\square+\square\textasciitilde\textasciitilde\square$$  How many different sums can she get? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$10$$ 
aoVal: E
content: $$12$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers->Complex Forming Numbers (with special requirements)
Problem: There is $$\text{560mL}$$ of milk in Bottle $$A$$ and $$\text{440mL}$$ of milk in Bottle $$B$$. How much milk should be poured from Bottle $$A$$ to Bottle $$B$$ so that both bottles have the same amount of milk? 
Options:
aoVal: A
content: $$\text{60mL}$$ 
aoVal: B
content: $$\text{120mL}$$ 
aoVal: C
content: $$\text{500mL}$$ 
aoVal: D
content: $$\text{1000mL}$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability
Problem: There are 4 types of cakes available in a cake shop: chocolate, cheese, blueberry  and blackforest. Naomi wants to buy 2 different types of cakes. How many  different choices does she have? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$5$$ 
aoVal: D
content: $$6$$ 
aoVal: E
content: $$7$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations
Source: 其它
Problem: John goes from his home to the playground. He walks 50 meters west, then turns~right~and walks~70 meters, then turns left and walks 40 meters, then 20 meters south, and finally 30 meters west. What is the direction John is facing now? 
Options:
aoVal: A
content: East 
aoVal: B
content: West 
aoVal: C
content: South 
aoVal: D
content: North 
aoVal: E
content: Southeast 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules
Source: 其它
Problem: How many different numbers greater than 10 and smaller than 25 with different digits can we make by using two of the digits 2, 0, 1, and 8? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$7$$ 
aoVal: E
content: $$8$$ 
Answer: A
Analysis: $$N.A.$$ 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules
Source: 其它
Problem: Paul is taller than Joe.  William is shorter than Paul.  Eddie is taller than William but shorter than Joe.  Jason is shorter than William.  Who is the shortest person? 
Options:
aoVal: A
content: Paul 
aoVal: B
content: William 
aoVal: C
content: Joe 
aoVal: D
content: Eddie 
aoVal: E
content: Jason 
Answer: E
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Comparing
Problem: Kofi leaves for the shops at $$11:23$$am and returns $$2$$ hours $$48$$ minutes later. At what time does he return? 
Options:
aoVal: A
content: $$1:01$$pm 
aoVal: B
content: $$1:11$$pm 
aoVal: C
content: $$2:10$$pm 
aoVal: D
content: $$2:01$$pm 
aoVal: E
content: $$2:11$$pm 
Answer: E
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: There are 5 red balls and 6 green balls. Pip takes out 5 balls at random. How many possible combinations are there? Try to list all the situations in order in the following table. 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$8$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules
Source: 其它
Problem: In 1-40, where can you find "1"s? 
Options:
aoVal: A
content: In the ones place 
aoVal: B
content: In the tens place 
aoVal: C
content: Both A and B are correct 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules
Source: 其它
Problem: How many shortest paths are there from point A to point B? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$4$$ 
Answer: C
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Finding the Shortest Path by Number Notation->Finding the Shortest Path by Number Notation (simple)->Finding the Shortest Routes
Source: 其它
Problem: $$150$$ students went to a $$\text{CCA}$$ fair and all of them at least tried out one activity. $$85$$ students tried out Sports activity. $$77$$ students tried out Art activity. How many students tried out both Sport activity and Art activities? 
Options:
aoVal: A
content: $$11$$ 
aoVal: B
content: $$12$$ 
aoVal: C
content: $$13$$ 
aoVal: D
content: $$14$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: $\frac{6!}{5+6+7+8+9+10}$ 
Options:
aoVal: A
content: $$10$$ 
aoVal: B
content: $$12$$ 
aoVal: C
content: $$14$$ 
aoVal: D
content: $$16$$ 
aoVal: E
content: $$18$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle
Source: 其它
Problem: How long is it, in hours and minutes, between $$10:28$$ and $$16:06$$? 
Options:
aoVal: A
content: $$5$$ hrs $$38$$ mins 
aoVal: B
content: $$8$$ hrs $$34$$ mins 
aoVal: C
content: $$5$$ hrs $$36$$ mins 
aoVal: D
content: $$26$$hrs $$34$$ mins 
aoVal: E
content: $$4$$ hrs $$33$$ mins 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: Any of the signs $$+$$, $$-$$, $$\times$$, $$\div$$ and brackets can be filled in the gaps below to make the equality true. Which of the following choices is true?  $$2\textasciitilde\textasciitilde\textasciitilde3\textasciitilde\textasciitilde\textasciitilde6\textasciitilde\textasciitilde\textasciitilde=36$$ 
Options:
aoVal: A
content: $\left( 2+3\right)\times6=36$ 
aoVal: B
content: $2+3+6=36$ 
aoVal: C
content: $2\times3\times6=36$ 
aoVal: D
content: $2\times3+6=36$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)
Problem: There are $$8$$ gloves of each colour, white, black, blue, red and yellow, in a drawer. Two gloves are consider to be a pair only if their colour is the same. How many gloves must Rona take out from the drawer randomly to ensure that she has $$5$$ pairs of gloves? 
Options:
aoVal: A
content: $$10$$ 
aoVal: B
content: $$12$$ 
aoVal: C
content: $$13$$ 
aoVal: D
content: $$14$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems
Problem: A movie ended at $$3.35$$ p.m. It lasted $$\rm 1h$$ $$\rm 50min$$. What time did the movie start? 
Options:
aoVal: A
content: $$1.45$$ p.m. 
aoVal: B
content: $$2.15$$ p.m. 
aoVal: C
content: $$2.45$$ p.m. 
aoVal: D
content: $$5.25$$ p.m. 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: Ben lives on the floor just below Chris.  Denise lives on the floor just above Alvin.  Denise lives on a higher floor than Chris.  who lives on the lowest floor? 
Options:
aoVal: A
content: $$\textasciitilde$$Alvin 
aoVal: B
content: $$\textasciitilde$$Ben 
aoVal: C
content: $$\textasciitilde$$Chris 
aoVal: D
content: $$\textasciitilde$$Denise 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: Sort the following names: Tom, Bob, Alice, Liz in alphabetical order. The correct format is . 
Options:
aoVal: A
content: Bob, Tom, Alice, Liz 
aoVal: B
content: Tom, Bob, Liz, Alice 
aoVal: C
content: Tom, Liz, Bob, Alice 
aoVal: D
content: Alice, Bob, Liz, Tom 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: There are $$4$$ different colours of bags available in a stationery shop: blue, red, green and yellow. Angel wants to buy $$3$$ different colour of bags. How many different choices does she have? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$10$$ 
Answer: B
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration
Source: 其它
Problem: The baby crawls 1m east then turns left and crawls 1m, then turns right and crawls 1m again, then turns to the left and crawls 2m, then turns to the right and crawls 1m, and then finally turns right and crawls 2m to grab the toy. What is the direction the baby is facing now? 
Options:
aoVal: A
content: East 
aoVal: B
content: West 
aoVal: C
content: South 
aoVal: D
content: North 
aoVal: E
content: Southeast 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules
Source: 其它
Problem: What should 19:20 be written for the 12-hour clock time? 
Options:
aoVal: A
content: 19:20 
aoVal: B
content: 7:20 a.m. 
aoVal: C
content: 19:20 p.m. 
aoVal: D
content: 7:20 p.m. 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: What is the sum of all the even numbers between $30$ and $40$? 
Options:
aoVal: A
content: $$72$$ 
aoVal: B
content: $$108$$ 
aoVal: C
content: $$140$$ 
aoVal: D
content: $$144$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication
Source: 其它
Problem: There are $$29$$ students in a certain class. $$12$$ of the students have a sister and $$18$$ of the students have a brother. In this class, only Tania, Barbara, and Anna do not have any siblings. How many students from this class have both a brother and a sister? 
Options:
aoVal: A
content: $$$$None 
aoVal: B
content: $$1$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$4$$ 
aoVal: E
content: $$6$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets
Problem: The average of six numbers is $$29$$. The sum of the first five numbers is $$135$$. What is the sixth number? 
Options:
aoVal: A
content: $$174$$ 
aoVal: B
content: $$164$$ 
aoVal: C
content: $$106$$ 
aoVal: D
content: $$39$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability
Problem: An elementary school is arranging students\textquotesingle{} schedules. For the first class in the morning, it has to be Chinese or Maths or English. Students won\textquotesingle t start the day with the same class for two days in a row. If Friday starts with Chinese, then Thursday can start with~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: Chinese or Maths 
aoVal: B
content: Maths or English 
aoVal: C
content: English or Chinese 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Tree Diagrams
Problem: There are $$9$$ pink, $$7$$ grey and $$11$$ blue marbles in a box. How many marbles shoud you draw to ensure that a blue marble can be drawn without looking inside the box? 
Options:
aoVal: A
content: $$11$$ 
aoVal: B
content: $$12$$ 
aoVal: C
content: $$16$$ 
aoVal: D
content: $$17$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Problem: Jane wrote the word STUDENTS thrice. How many times did she write the letter S? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$10$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability
Source: 其它
Problem: Divide $$60$$ robots into several groups such that the number of robots in any group should be different. How many groups can be made at most? 
Options:
aoVal: A
content: $$8$$ 
aoVal: B
content: $$9$$ 
aoVal: C
content: $$10$$ 
aoVal: D
content: $$11$$ 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers
Problem: Ten friends came to John\textquotesingle s birthday party, six of them were girls. How many boys were there in the party? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$7$$ 
aoVal: E
content: $$8$$ 
Answer: B
Analysis: $$N.A.$$ 
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules
Source: 其它
Problem: ? 
Options:
aoVal: A
content: A 
aoVal: B
content: B 
aoVal: C
content: C 
aoVal: D
content: D 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration
Source: 其它
Problem: A packet of biscuits costs $$x$$ pence.  I buy $$6$$ packets.  Which expression shows how much change I will get from £$$5$$? 
Options:
aoVal: A
content: $$5-6x$$ 
aoVal: B
content: $$500-6x$$ 
aoVal: C
content: $$6x-5$$ 
aoVal: D
content: $$500-60x$$ 
aoVal: E
content: $$6x-500$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number
Problem: Under a null hypothesis, a sample value yields a P-value of 0.015. Which of the following statements is (are) true?  I. This finding is statistically significant at the 0.05 level of significance.  II. This finding is statistically significant at the 0.01 level of significance.  II. The probability of getting a sample value as extreme as this one by chance alone if the null hypothesis is true is 0.015. 
Options:
aoVal: A
content: I and III only 
aoVal: B
content: I only 
aoVal: C
content: III only 
aoVal: D
content: II and III only 
aoVal: E
content: I, II, and III 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Farmer Frank has an orchard of $15$ trees. Each tree has $4$ trunks and each trunk has $8$ branches. Each branch has $20$ apples and $5$ boughs. Each bough has $6$ apples. How many apples does Farmer Frank have? 
Options:
aoVal: A
content: $$32000$$ 
aoVal: B
content: $$30000$$ 
aoVal: C
content: $$28000$$ 
aoVal: D
content: $$26000$$ 
aoVal: E
content: $$24000$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $3.7\times9=33.3$ Write down the value of. 
Options:
aoVal: A
content: $$333$$ 
aoVal: B
content: $$3.33$$ 
aoVal: C
content: $$33.3$$ 
aoVal: D
content: $$93.7$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals
Problem: The height of a seedling is $$7.2\text{cm}$$. It grows $$0.6\text{cm}$$ every day. What is the seedling\textquotesingle s height after $$3$$ days? 
Options:
aoVal: A
content: $$1.8\text{cm}$$ 
aoVal: B
content: $$7.8\text{cm}$$ 
aoVal: C
content: $$8.4\text{cm}$$ 
aoVal: D
content: $$9.0\text{cm}$$ 
aoVal: E
content: $$9.4\text{cm}$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Multiplication and Division of Decimals->Multiplication of Decimals->Multiplication of Decimals and Whole Numbers
Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals
Problem: What is the product of $$819$$ and $$7$$? 
Options:
aoVal: A
content: $$5616$$ 
aoVal: B
content: $$5673$$ 
aoVal: C
content: $$5733$$ 
aoVal: D
content: $$6093$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division
Problem: Suppose that a firm in perfect competition is producing 6 tons of wheat with an average variable cost of $\textbackslash$50$/ton, an average total cost of $\textbackslash$70$/ton, and selling the wheat for a price of $\textbackslash$60$/ton. Will it make a positive or negative profit? Should this firm shut down? 
Options:
aoVal: A
content: positive profit, don't shut down 
aoVal: B
content: positive profit, shut down 
aoVal: C
content: negative profit, don't shut down 
aoVal: D
content: negative profit, shut down 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation
Source: 其它
Problem: Which of the following numbers is the smallest? 
Options:
aoVal: A
content: $$0.8$$ 
aoVal: B
content: $1\div2$ 
aoVal: C
content: $\dfrac{5}{6}$ 
aoVal: D
content: $\dfrac{3}{12}$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->By Converting Fractions into Decimals