math-eval/TAL-SCQ5K huggingface dataset:
Problem: $$\begin{cases}x=3+2y \textbackslash\textbackslash{} 3x+5y=64 \textbackslash\textbackslash\end{cases}$$, find the value of $y$. 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$13$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions
Problem: $6$ can be made in $2$ different ways: $1\times6$ or $2\times3$. In how many different ways is it possible to make $24$? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$5$$ 
aoVal: E
content: $$6$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Every half hour, one bacteria divides into two bacterias. After $$2$$ hours, there are  bacterias. 
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: Find the $$3$$ equivalent fractions of the given fraction.  $\dfrac{75}{100}$ 
Options:
aoVal: A
content: $\dfrac{4}{5}$ 
aoVal: B
content: $\dfrac{3}{4}$ 
aoVal: C
content: $\dfrac{2}{3}$ 
aoVal: D
content: $\dfrac{1}{4}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: Paul draws a plan of his school using a scale of $$2\text{cm}$$ to $$5\text{m}$$.  On the plan, the school hall is $$6\text{cm}$$ long.  What is the real length of the hall? 
Options:
aoVal: A
content: $$15\text{m}$$ 
aoVal: B
content: $$6\text{m}$$ 
aoVal: C
content: $$18\text{m}$$ 
aoVal: D
content: $$9\text{m}$$ 
aoVal: E
content: $$12\text{m}$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale
Problem: Ten balls are put into a bag. On each ball is a number from $1$ to $10$.  The $1^{st}$~ball has the number $1$ on it.  The $2^{nd}$~ball has the number $2$ on it, and so on\ldots{}  $3$ balls are taken out and numbers on them are added up together.  We can know that $5$ was included in the numbers were taken, and the result can be divieded by $3$ and $4$. Which of the following numbers was definitly not taken out? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$7$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$9$$ 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $$\frac{30}{8}=3\frac{\square{ }}{4}$$  The missing number in the box is． 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$18$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions
Problem: What is the missing number in the following number pattern?  $$3296$$, $$3316$$, $$3216$$, $$3236$$, $$3136$$,~\uline{~~~~~~~~~~}~$$3056$$, $$3076$$ 
Options:
aoVal: A
content: $$3016$$ 
aoVal: B
content: $$3036$$ 
aoVal: C
content: $$3156$$ 
aoVal: D
content: $$3236$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences
Problem: Two sets of numbers are given. The second set of numbers is obtained by doing something to the first set.  $\left\textbackslash{ 1,2,3,4,5\right\textbackslash}\textbackslash{} \Rightarrow\left\textbackslash{ 2,5,10,?,26\right\textbackslash}$  What is the missing number? 
Options:
aoVal: A
content: $$12$$ 
aoVal: B
content: $$17$$ 
aoVal: C
content: $$21$$ 
aoVal: D
content: $$37$$ 
aoVal: E
content: $$50$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Patterns->Looking For Patterns
Problem: A school district claims that the average teacher in the district earns $\textbackslash$$48,000 per year. The teachers\textquotesingle{} organization argues that the average salary is less. A random sample of 25 teachers yields a mean salary of $\textbackslash$$47,500 with a sample standard deviation of $\textbackslash$$2,000. Assuming that the distribution of all teachers\textquotesingle{} salaries is approximately normally distributed, what is the value of the t-test statistic and the P-value for a test of the hypothesis H\textsubscript{0}:~$\mu$~= 48,000 against H\textsubscript{a}: $\mu$ \textless{} 48,000? (Remember, df= 25 - 1 = 24.) 
Options:
aoVal: A
content: t=1.25, 0.10\textless P\textless0.15 
aoVal: B
content: t=-1.25, 0.20\textless P\textless0.30 
aoVal: C
content: t=1.25, 0.20\textless P\textless0.30 
aoVal: D
content: t=-1.25, 0.10\textless P\textless0.15 
aoVal: E
content: t=-1.25, P\textgreater0.25 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the value of~$\dfrac{1}{3}\cdot\dfrac{2}{4}\cdot\dfrac{3}{5}\cdot\cdot\cdot\dfrac{18}{20}\cdot\dfrac{19}{21}\cdot\dfrac{20}{22}$? 
Options:
aoVal: A
content: $\dfrac{1}{462}$ 
aoVal: B
content: $\dfrac{1}{231}$ 
aoVal: C
content: $\dfrac{1}{132}$ 
aoVal: D
content: $\dfrac{2}{213}$ 
aoVal: E
content: $\dfrac{1}{22}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the missing number in the following number pattern?  $7146$, $7142$~\uline{~ ~ ~?~ ~ ~}~, $7136$, $7134$, $7130$, $7128$, $7124$ 
Options:
aoVal: A
content: $$7132$$ 
aoVal: B
content: $$7134$$ 
aoVal: C
content: $$7138$$ 
aoVal: D
content: $$7140$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences
Problem: A number consists of $5$ ten thousands, $6$ thousands, $1$ tens and $3$ ones. What number is it? 
Options:
aoVal: A
content: $$5613$$ 
aoVal: B
content: $$56013$$ 
aoVal: C
content: $$50613$$ 
aoVal: D
content: $$05613$$ 
aoVal: E
content: $$56031$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Source: 其它
Problem: Which of the following is true of an economy\textquotesingle s production possibilities curve? 
Options:
aoVal: A
content: It shows the combinations of any two resources that can be used to produce an efficient level of output. 
aoVal: B
content: It shows the alternative combinations of goods that can be produced by fully employing scarce resources. 
aoVal: C
content: It must be a straight line when all resources are fully employed. 
aoVal: D
content: It is bowed in (convex to the origin) because of changing levels of technology. 
aoVal: E
content: It is bowed out (concave to the origin) when marginal opportunity costs are constant. 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Express $$\frac{62}{5}$$ as a mixed number in its simplest form. 
Options:
aoVal: A
content: $$2\frac{2}{5}$$ 
aoVal: B
content: $$5\frac{2}{12}$$ 
aoVal: C
content: $$12\frac{2}{5}$$ 
aoVal: D
content: $$60\frac{2}{5}$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions
Problem: What is the missing number in the box?  $$\boxed{~ ~ ?~ ~ ~}-2852=2569$$ 
Options:
aoVal: A
content: $$283$$ 
aoVal: B
content: $$4321$$ 
aoVal: C
content: $$4311$$ 
aoVal: D
content: $$5421$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction
Problem: Suppose that on a hypothesis test for a single population mean, $H\_{a}:\textbackslash{} \mu\textbackslash{} \lt\textbackslash{} 10$. Assume that $H\_{a}$~is true. For a fixed sample size and significance level $\alpha$, the power of the test will be greatest if the actual mean is which of the following? 
Options:
aoVal: A
content: $$8$$ 
aoVal: B
content: $$9$$ 
aoVal: C
content: $$10$$ 
aoVal: D
content: $$11$$ 
aoVal: E
content: $$13$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: To calculate the area of a rectangle with a length of $$7$$ and a breadth of $$5$$, we can use $$7\times 5$$. Therefore, the formula of a rectangle can be summarised as:． 
Options:
aoVal: A
content: Area of rectangle $$=$$ breadth $$\times $$ breadth 
aoVal: B
content: Area of rectangle $$=$$ length $$\times $$ length 
aoVal: C
content: Area of rectangle $$=$$ length $$\times $$ breadth 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions
Problem: Which of the following is the simplest form of~$\dfrac{3}{12}$? 
Options:
aoVal: A
content: $\dfrac{1}{4}$ 
aoVal: B
content: $\dfrac{3}{12}$ 
aoVal: C
content: $\dfrac{6}{24}$ 
aoVal: D
content: $\dfrac{1}{10}$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Using Common Factors to Simplify Fractions
Source: 其它
Problem: When the price of bananas increases by 20\%, the quantity demanded of apples increases by 30\%. What is the value of the cross-price elasticity of demand? 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$-1.5$$ 
aoVal: C
content: 2/3 
aoVal: D
content: $$1.5$$ 
aoVal: E
content: -2/3 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation
Source: 其它
Problem: Which of the following is true if consuming one unit of a good yields 100 utils and consuming the second unit of the good increases satisfaction by 20 utils? 
Options:
aoVal: A
content: The marginal utility of the first unit is 20. 
aoVal: B
content: The marginal utility of the second unit is 20. 
aoVal: C
content: The marginal utility of the second unit is 120. 
aoVal: D
content: The total utility of consuming two units is 120. 
aoVal: E
content: The total utility of consuming one unit is greater than the total utility of consuming two units. 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: How many tens are there in 3710 ? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$10$$ 
aoVal: C
content: $$710$$ 
aoVal: D
content: $$371$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers
Source: 其它
Problem: \textbf{Use Punnett squares to answer questions 8, 9 and 10. In guinea pigs, coat texture is determined by a complete dominance gene: rough coats are dominant to smooth coats.}  Two guinea pigs heterozygous for coat texture have offspring. What is the percent of their offspring expected to have smooth coats? 
Options:
aoVal: A
content: 0\% 
aoVal: B
content: 25\% 
aoVal: C
content: 50\% 
aoVal: D
content: 75\% 
aoVal: E
content: 100\% 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: The price of a good increases by 20\% and as a result, the quantity demanded decreases by 10\%. What is the price elasticity of demand for this good? 
Options:
aoVal: A
content: $$0.5$$ 
aoVal: B
content: $$1$$ 
aoVal: C
content: $$1.5$$ 
aoVal: D
content: $$2$$ 
aoVal: E
content: $$2.5$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which fraction is \textbf{NOT~}equivalent to $\frac{1}{2}$? 
Options:
aoVal: A
content: $\frac{5}{10}$ 
aoVal: B
content: $\frac{2}{4}$ 
aoVal: C
content: $\frac{4}{9}$ 
aoVal: D
content: $\frac{3}{6}$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions
Source: 其它
Problem: Pauline has $2$ erasers, $3$ notebooks, $1$ carrot, $5$ toy cars, $7$ fans and $3$ bowls. How many pieces of stationeries does Pauline have? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$12$$ 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of the following statement about $$0$$ is true? 
Options:
aoVal: A
content: $$0$$ is positive 
aoVal: B
content: $$0$$ is negative 
aoVal: C
content: $$0$$ is neither positive nor negative 
aoVal: D
content: Do not know 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers
Problem: $\dfrac{^{2\^{3}\times2^{4}}}{2^{5}}$ 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$16$$ 
aoVal: C
content: $$32$$ 
aoVal: D
content: $$128$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers
Source: 其它
Problem: What is the place value of the digit $3$ in the number $19.324$? 
Options:
aoVal: A
content: ones 
aoVal: B
content: tens 
aoVal: C
content: tenths 
aoVal: D
content: hundredths 
aoVal: E
content: thousandths 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas
Source: 其它
Problem: Consider repeated trials of a binomial random variable. Suppose the probability of the first success occurring on the second trial is 0.25. What is the probability of success the first trial? 
Options:
aoVal: A
content: 1/4 
aoVal: B
content: $$1$$ 
aoVal: C
content: 1/2 
aoVal: D
content: 1/8 
aoVal: E
content: 3/16 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which ratio is NOT the same as the ratio $$12:60$$?  Choose the letter. 
Options:
aoVal: A
content: $$6:30$$ 
aoVal: B
content: $$2:10$$ 
aoVal: C
content: $$1:5$$ 
aoVal: D
content: $$5:1$$ 
aoVal: E
content: $$24:120$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio
Problem: Fill in the blank:~\uline{~~~~~~~~~~}~is $$7$$ tens $$7$$ ones more than $$3$$ tens $$9$$ ones. 
Options:
aoVal: A
content: $$31$$ 
aoVal: B
content: $$38$$ 
aoVal: C
content: $$47$$ 
aoVal: D
content: $$116$$ 
aoVal: E
content: None of the above 
Answer: D
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $$8\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$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers
Problem: Which of the following does not contain a constant? 
Options:
aoVal: A
content: $4$ 
aoVal: B
content: $4x-4$ 
aoVal: C
content: $$4a+\frac{4a}{2b}$$ 
aoVal: D
content: $4x+\frac{4y+8}{8}$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions
Source: 其它
Problem: $x^{3}=216$. What is $x$? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$0.4$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $$5+5+5+5+5=6\times $$$$\square $$  What is the missing number in the box?（ 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$30$$ 
aoVal: D
content: $$36$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction
Problem: Which one of the following has the greatest value?　 
Options:
aoVal: A
content: $$\frac{3}{5} \times \frac{2}{3}$$ 
aoVal: B
content: $$\frac{5}{3} \times \frac{1}{2}$$ 
aoVal: C
content: $$\frac{3}{4} \times \frac{2}{3}$$ 
aoVal: D
content: $$\frac{4}{3} \times \frac{1}{2}$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: Calculate: $$\frac{1}{2}\times \frac{5}{3}+\frac{11}{5}\times \frac{7}{6}=$$． 
Options:
aoVal: A
content: $$\frac{77}{30}$$ 
aoVal: B
content: $$\frac{5}{6}$$ 
aoVal: C
content: $$\frac{17}{5}$$ 
aoVal: D
content: $$\frac{41}{18}$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: To investigate whether the consumption of beetroot juice enhances exercise performance, a researcher selected a random sample of 50 student athletes from all the student athletes at a college. The athletes in the sample were randomly assigned to one of two groups. In one group, 25 athletes were given a daily dose of beetroot juice, and in the other group, the remaining athletes were given a daily dose of a placebo. At the end of six weeks of exercise training, the resear her compared the performances of the two groups. Based on the design of the  investigation, which of the following is the largest population to which the results can be generalized? 
Options:
aoVal: A
content: The 25 student athletes assigned to the beetroot juice group 
aoVal: B
content: The 50 student athletes in the sample 
aoVal: C
content: All student athletes at the college 
aoVal: D
content: All students at the college 
aoVal: E
content: All people who exercise 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of the following statement(s) is or are correct?  Statement A: $$7+(0\times2)=7$$  Statement B: $$7+(0\div2)=7$$  Statement C: $$7+(2\times0)=7$$ 
Options:
aoVal: A
content: All the three statements are correct. 
aoVal: B
content: Only Statement $$A$$ and $$B$$ are correct. 
aoVal: C
content: Only Statement $$A$$ and $$C$$ are correct. 
aoVal: D
content: Only Statement $$B$$ and $$C$$ are correct. 
aoVal: E
content: None of the above 
Answer: A
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: In a square, all sides are~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: Different 
aoVal: B
content: the same 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Pyramid Sequences
Source: 其它
Problem: What is the similarity among these numbers?  $64$~ ~$100$~ ~$81$~ ~$9$~ ~$144$~ ~$16$~ ~$25$ 
Options:
aoVal: A
content: They are all even numbers. 
aoVal: B
content: All of them can be written as $n^{2}$ ($n$ is a whole number). 
aoVal: C
content: There is no similarity. 
Answer: B
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Power->Understanding the meaning of Power
Problem: A packet of biscuits costs $$x$$ pence. I buy $$4$$ packets. Which expression shows how much change in pence I will get from £$$8$$? 
Options:
aoVal: A
content: $$8-4x$$ 
aoVal: B
content: $$800-4x$$ 
aoVal: C
content: $$4x-8$$ 
aoVal: D
content: $$800-40x$$ 
aoVal: E
content: $$4x-800$$ 
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: Mrs Scan reads $32$ pages of her book every day.  The book has $16$ chapters.  There are $36$ pages in each chapter.  How long will it take Mrs Scan to finish the book? 
Options:
aoVal: A
content: $$18$$ days 
aoVal: B
content: $$14$$ days 
aoVal: C
content: $$16$$ days 
aoVal: D
content: $$20$$ days 
aoVal: E
content: $$12$$ days 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Laura bought a whole carton of milk.  Peter drank~$\dfrac{2}{3}$~of it and his sister, Mary, drank~$\dfrac{4}{9}$~of it.  How much less of the carton of milk did Mary drink than Peter? 
Options:
aoVal: A
content: $\frac29$ 
aoVal: B
content: $\frac13$ 
aoVal: C
content: $\frac23$ 
aoVal: D
content: $\frac49$ 
aoVal: E
content: $\frac59$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions
Problem: May and Megan wanted to buy some fruits. May bought $6$ apples, $8$ pears and $13$ plums. Megan bought $9$ apples, $2$ pears and $11$ plums. How many more pieces of fruits did May buy than Megan? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$5$$ 
aoVal: D
content: $$6$$ 
aoVal: E
content: $$7$$ 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: In a certain school, 17 percent of the students are enrolled in a psychology course, 28 percent are enrolled in a foreign language course, and 32 percent are enrolled in either a psychology course or a foreign language course or both. What is the probability that a student chosen at random from this school will be enrolled in both a foreign language course and a psychology course? 
Options:
aoVal: A
content: $$0.45$$ 
aoVal: B
content: $$0.32$$ 
aoVal: C
content: $$0.20$$ 
aoVal: D
content: $$0.13$$ 
aoVal: E
content: $$0.05$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables
Source: 其它
Problem: Which of the following numbers is closest to zero? 
Options:
aoVal: A
content: $$0.00011$$ 
aoVal: B
content: $$0.0002$$ 
aoVal: C
content: $$0.001$$ 
aoVal: D
content: $$1.00001$$ 
aoVal: E
content: $$1.0$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals
Problem: Which one of the following has the same value as $$\frac{6}{7}\div 4$$?　 
Options:
aoVal: A
content: $$\frac{3}{14}$$ 
aoVal: B
content: $$\frac{7}{24}$$ 
aoVal: C
content: $$3 \frac{3}{7}$$ 
aoVal: D
content: $$4 \frac{2}{3}$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: When the following numbers are put in order of size, which comes in the middle?  $0.75, 79\textbackslash\%, \frac79, 0.7, \frac57$ 
Options:
aoVal: A
content: $$0.75$$ 
aoVal: B
content: $79\textbackslash\%$ 
aoVal: C
content: $\frac79$ 
aoVal: D
content: $0.7$ 
aoVal: E
content: $\frac57$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals
Source: 其它
Problem: Ms. Tucker travels through two intersections with traffic lights as she drives to the market. The traffic lights operate independently. The probability that both lights will be red when she reaches them is 0.22. The probability that the first light will be red and the second light will \uline{not} be red is 0.33. What is the probability that the second light will be red when she reaches it? 
Options:
aoVal: A
content: $$0.40$$ 
aoVal: B
content: $$0.45$$ 
aoVal: C
content: $$0.50$$ 
aoVal: D
content: $$0.55$$ 
aoVal: E
content: $$0.60$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of the followings is an arithmetic sequence? 
Options:
aoVal: A
content: $$2$$, $$5$$, $$9$$, $$14\cdots~ $$ 
aoVal: B
content: $$5$$, $$9$$, $$13$$, $$18\cdots$$ 
aoVal: C
content: $$1$$, $$2$$, $$1$$, $$2\cdots$$ 
aoVal: D
content: $$0$$, $$0$$, $$0$$, $$0\cdots$$ 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences
Problem: $$831+58=$$ ． 
Options:
aoVal: A
content: $$773$$ 
aoVal: B
content: $$827$$ 
aoVal: C
content: $$888$$ 
aoVal: D
content: $$889$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction