math-eval/TAL-SCQ5K huggingface dataset:
Problem: Study the number pattern below. What is the missing number?  $$3, 4, 7, 11, 18, 29, ?, 76$$ 
Options:
aoVal: A
content: $$30$$ 
aoVal: B
content: $$67$$ 
aoVal: C
content: $$47$$ 
aoVal: D
content: $$45$$ 
aoVal: E
content: None of the above 
Answer: C
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences
Source: 其它
Problem: Which of the following is NOT equivalent to $P\textbackslash\%$? 
Options:
aoVal: A
content: $\frac{P}{100}$ 
aoVal: B
content: $0.01P$ 
aoVal: C
content: $P:100$ 
aoVal: D
content: $100:P$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation
Source: 其它
Problem: Which fraction is equivalent to $$\frac{25}{35}$$? 
Options:
aoVal: A
content: $$\frac4{10}$$ 
aoVal: B
content: $$\frac{12}{16}$$ 
aoVal: C
content: $$\frac57$$ 
aoVal: D
content: $$\frac68$$ 
aoVal: E
content: $$\frac75$$ 
Answer: C
Analysis: N/A． 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Properties of Fractions
Problem: A distribution of test scores can be described as N(77, 8). If the distribution is represented as X, which of the following answer choices would be equivalent to P(X \textless{} 65)? 
Options:
aoVal: A
content: P(X\textgreater65) 
aoVal: B
content: P(X\textgreater85) 
aoVal: C
content: P(65\textless X\textgreater89) 
aoVal: D
content: 1-P(X\textgreater89) 
aoVal: E
content: P(X\textgreater89) 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which Law is used in the following calculation: $$1.25+3.33+8.75=3.33+(1.25+8.75)$$? 
Options:
aoVal: A
content: The Commutative Law of Addition 
aoVal: B
content: The Associative Law of Addition 
aoVal: C
content: Both 
aoVal: D
content: None 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals
Problem: Given that $$p:q=5:2$$ and $$q:r=3:4$$, express $$r$$ as a fraction of $$p$$. 
Options:
aoVal: A
content: $$\frac{3}{5}$$ 
aoVal: B
content: $$\frac{8}{15}$$ 
aoVal: C
content: $$\frac{4}{5}$$ 
aoVal: D
content: $$\frac{5}{4}$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio
Problem: Each cantaloupe melon costs £1.04.  Mark buys eight and pays with a~£$$10$$ note. All the change he gets is coins.  What is the smallest number of coins that he can receive in change? 
Options:
aoVal: A
content: $$6$$ 
aoVal: B
content: $$7$$ 
aoVal: C
content: $$9$$ 
aoVal: D
content: $$5$$ 
aoVal: E
content: $$8$$ 
Answer: A
Analysis: N/A.　 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Money
Problem: In Mathematics, the product of the first $$n$$ whole numbers starting from $$1$$ is written as $$n!=1\times2\times3\times \cdots \times n$$. For example, $$2!=1\times2$$ and $$7!=1\times2\times3\times4\times5\times6\times7$$. The number of hours in September can be written as $$n!$$. Find the value of $$n$$. 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$7$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: None of the above 
Answer: B
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: In $$26.73$$, the digit $$3$$ has the value of ． 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$0.3$$ 
aoVal: C
content: $$0.03$$ 
aoVal: D
content: $$0.003$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals
Source: 其它
Problem: An airplane lands on a runway with a velocity of 150 m/s. how far~will it travel until it stops if its rate of deceleration is constant at -3m/s\textsuperscript{2}? 
Options:
aoVal: A
content: $$525m$$ 
aoVal: B
content: $$3750m$$ 
aoVal: C
content: $$6235m$$ 
aoVal: D
content: $$9813m$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is this number rounded to the nearest tenth．  $$\boxed{9.95}$$ 
Options:
aoVal: A
content: $$9.9$$ 
aoVal: B
content: $$10$$ 
aoVal: C
content: $$9.96$$ 
aoVal: D
content: $$9$$ 
aoVal: E
content: $$10.0$$ 
Answer: E
Analysis: N/A.  Revise from (GL Assessment book$$1$$《Paper $$2$$》 $$6$$ years Question \#$$15$$) 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Finding Approximate Values
Problem: Which of the following is the smallest? 
Options:
aoVal: A
content: $$8\times6$$ 
aoVal: B
content: $$56-6\times3$$ 
aoVal: C
content: $$8^{2}-8\times2$$ 
aoVal: D
content: $$3.8\times12$$ 
aoVal: E
content: $$13.7+34.9$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table
Source: 其它
Problem: What is the difference between $$\frac{2}{3}$$ and $$\frac{5}{12}$$? 
Options:
aoVal: A
content: $$\frac{1}{3}$$ 
aoVal: B
content: $$\frac{1}{4}$$ 
aoVal: C
content: $$\frac{1}{5}$$ 
aoVal: D
content: $$\frac{7}{15}$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: Calculate:  $1.234+4.321=$~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $$5555$$ 
aoVal: B
content: $$5545$$ 
aoVal: C
content: $$5.555$$ 
aoVal: D
content: $$55.55$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers
Source: 其它
Problem: Which of the following statements is false? 
Options:
aoVal: A
content: $$3 + 5 \times 4 = 23$$ 
aoVal: B
content: $$20 − 5 \times 4 = 0$$ 
aoVal: C
content: $$12 − 5 \times 2 = 2$$ 
aoVal: D
content: $$3 + 6 \times 4 = 36$$ 
aoVal: E
content: $$5 \times 3 − 2 = 13$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Problem: Find the next number in the sequence:  $12,7,9,12,6,17,3,$~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$14$$ 
aoVal: D
content: $$22$$ 
aoVal: E
content: $$27$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences
Source: 其它
Problem: Mom divides 12 cupcakes into 5 kids equally. Assume $$x$$ represents the number of cupcakes each kid gets, which of the following inequalities can represent this situation? 
Options:
aoVal: A
content: $$5x\geqslant 12$$ 
aoVal: B
content: $$5x\leqslant 12$$ 
aoVal: C
content: $$5x = 12$$ 
aoVal: D
content: $$5x\geqslant 12$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities
Source: 其它
Problem: The breadth of a rectangular bookmark is $9$ cm. It\textquotesingle s length is $3$ times its breadth. What is the area of the bookmark? 
Options:
aoVal: A
content: 27 cm\textsuperscript{2} 
aoVal: B
content: 81 cm\textsuperscript{2} 
aoVal: C
content: 162 cm\textsuperscript{2} 
aoVal: D
content: 243 cm\textsuperscript{2} 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Area
Source: 其它
Problem: The sum of $$5$$ consecutive whole numbers is $$110$$. What is the largest odd number among the $$5$$ numbers? 
Options:
aoVal: A
content: $$21$$ 
aoVal: B
content: $$22$$ 
aoVal: C
content: $$23$$ 
aoVal: D
content: $$24$$ 
aoVal: E
content: None of the above 
Answer: C
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences
Source: 其它
Problem: When calculating $12\div1000$, each digit of $12$ moves~\uline{~~~~~~~~~~}~place(s) to the~\uline{~~~~~~~~~~}~, and we obtain the result~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: two; left; $12$ 
aoVal: B
content: three; right; $0.00012$ 
aoVal: C
content: three; left; $120$ 
aoVal: D
content: two; right; $0.12$ 
aoVal: E
content: three; right; $0.012$ 
Answer: E
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Two wodgets make a finkle. Five finkles make a splot. Three splots make a tink. How many wodgets make four tinks? 
Options:
aoVal: A
content: $$30$$ 
aoVal: B
content: $$120$$ 
aoVal: C
content: $$60$$ 
aoVal: D
content: $$14$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Substituting the Values into the Expressions
Problem: The little kangaroo was sick. Dr. Ohpain prescribed $$3$$ pills for him to take one at a time every twenty minutes. How many minutes after taking the first pill will the little kangaroo take the last pill? 
Options:
aoVal: A
content: $$20$$ 
aoVal: B
content: $$30$$ 
aoVal: C
content: $$40$$ 
aoVal: D
content: $$50$$ 
aoVal: E
content: $$60$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table
Problem: If you put the following in order of size, which one is the largest? 
Options:
aoVal: A
content: $$2.47$$ 
aoVal: B
content: $$1.8$$ 
aoVal: C
content: $$2.1$$ 
aoVal: D
content: $$1.06$$ 
aoVal: E
content: $$2.6$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals
Problem: Choose the even number. 
Options:
aoVal: A
content: $$13$$ 
aoVal: B
content: $$7$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$5$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of the following is nearest to $$2$$? 
Options:
aoVal: A
content: $$2\frac{1}{4}$$ 
aoVal: B
content: $$2\frac{1}{9}$$ 
aoVal: C
content: $$1\frac{5}{6}$$ 
aoVal: D
content: $$1\frac{7}{8}$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions
Overseas In-curriculum->Knowledge Point->Knowing Numbers->Fractions->Classifying Fractions ->Mixed Numbers
Problem: what is the missing number? 
Options:
aoVal: A
content: $$4518$$ 
aoVal: B
content: $$4718$$ 
aoVal: C
content: $$4768$$ 
aoVal: D
content: $$4868$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences
Source: 其它
Problem: What is the value of the digit `$$5$$'~in $$48.05$$? 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$0.5$$ 
aoVal: C
content: $$0.05$$ 
aoVal: D
content: $$0.005$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals
Problem: Fiona measured the length of her house.  It was $$18$$ metres to the nearest tenth of a metre.  Between what limits was the actual length? 
Options:
aoVal: A
content: $$17.99$$ to $$18.01$$ 
aoVal: B
content: $$17.9$$ to $$18.1$$ 
aoVal: C
content: $$17.995$$ to $$18.009$$ 
aoVal: D
content: $$17.95$$ to $$18.05$$ 
aoVal: E
content: $$17.5$$ to $$18.5$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Finding Approximate Values
Problem: What is $40\textbackslash\%$ of £$75$? 
Options:
aoVal: A
content: £$187.5$ 
aoVal: B
content: £$15$ 
aoVal: C
content: £$30$ 
aoVal: D
content: £$45$ 
aoVal: E
content: £$60$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation
Problem: The day before yesterday is Thursday. What day is tomorrow? 
Options:
aoVal: A
content: Monday 
aoVal: B
content: Wednesday 
aoVal: C
content: Thursday 
aoVal: D
content: Saturday 
aoVal: E
content: Sunday 
Answer: E
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: A lot of babies were born in the zoo last year: two baby lions, three baby dolphins and four baby eagles. How many legs do all these babies have altogether? 
Options:
aoVal: A
content: $$20$$ 
aoVal: B
content: $$18$$ 
aoVal: C
content: $$16$$ 
aoVal: D
content: $$14$$ 
aoVal: E
content: $$12$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: A packet of chocolates costs $a$ pence and a glass of orange juice costs $b$ pence.  Mike buys $4$ packet of chocolates and $4$ glasses of orange juice.  Which expression shows how much change he will receive in pence from a £$10$ note? 
Options:
aoVal: A
content: $10-4a-4b$ 
aoVal: B
content: $100-(4a+4b)$ 
aoVal: C
content: $1000-(4a+4b)$ 
aoVal: D
content: $1000-4a+4b$ 
aoVal: E
content: $10-4a+4b$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the value of the $5$ in the number $25673$ 
Options:
aoVal: A
content: fifty thousands 
aoVal: B
content: five thousands 
aoVal: C
content: five hundreds 
aoVal: D
content: fifty 
aoVal: E
content: five 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: A complex electronic device contains three components, A, B, and C. The probabilities of failure for each component in any one vear are 0.01, 0.03, and 0.04, respectively. If any one component fails, the device will fail. If the components fail independently of one another, what is the probability that the device will \uline{not} fail in one year？ 
Options:
aoVal: A
content: Less than 0.01 
aoVal: B
content: $$0.078$$ 
aoVal: C
content: $$0.080$$ 
aoVal: D
content: $$0.922$$ 
aoVal: E
content: Greater than 0.99 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables
Source: 其它
Problem: The value of the expression $$\frac{2003+2003+2003+2003+2003}{2003+2003}$$ is equal to:~\uline{~~~~~~~~~~}~. ($$2003$$ Math Kangaroo Problem, Level $$5-6$$, Question \#$$8$$) 
Options:
aoVal: A
content: $$2003$$ 
aoVal: B
content: $\dfrac{1}{3}$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $\dfrac{5}{2}$ 
aoVal: E
content: $$6009$$ 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: The distribution of heights of 6-year-old girls is approximately normally distributed with a mean of 46.0 inches and a standard deviation of 2.7 inches. Aliyaah is 6 years old, and her height is 0.96 standard deviation above the mean. Her friend Jayne is also 6 years old and is at the 93rd percentile of the height distribution. At what percentile is Aliyaah\textquotesingle s height, and how does her height compare to Jayne\textquotesingle s height? 
Options:
aoVal: A
content: Aliyaah\textquotesingle s height is at the 17th percentile of the distribution, and she is shorter than Jayne. 
aoVal: B
content: Aliyaah\textquotesingle s height is at the 67th percentile of the distribution, and she is shorter than Jayne. 
aoVal: C
content: Aliyaah\textquotesingle s height is at the 67th percentile of the distribution, and she is taller than Jayne. 
aoVal: D
content: Aliyaah\textquotesingle s height is at the 83rd percentile of the distribution, and she is shorter than Jayne. 
aoVal: E
content: Aliyaah\textquotesingle s height is at the 83rd percentile of the distribution, and she is taller than Jayne. 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Find the next term in the following sequence.  $$1$$, $$2$$, $$6$$, $$24$$, $$120$$,~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: $$720$$ 
aoVal: B
content: $$810$$ 
aoVal: C
content: $$560$$ 
aoVal: D
content: $$640$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences
Problem: The area formula of the triangle is $$A=\frac{1}{2}ab$$, there is(are)  variable(s). 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$1$$ 
aoVal: C
content: $$2$$ 
aoVal: D
content: $$3$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable
Source: 其它
Problem: Mike draws a shape with four sides of equal length.  The shape has exactly two lines of symmetry.  What shape has Mike drawn? 
Options:
aoVal: A
content: Square 
aoVal: B
content: Rectangle 
aoVal: C
content: Trapezium 
aoVal: D
content: Pentagon 
aoVal: E
content: Rhombus 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which measurement is the same as $3.5\text{m}$? 
Options:
aoVal: A
content: $350\text{cm}$ 
aoVal: B
content: $0.35\text{km}$ 
aoVal: C
content: $350000\text{mm}$ 
aoVal: D
content: $3500\text{cm}$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length
Problem: Using the same amount of time and resources, Jack can assemble either 10 bikes or 5 computers, whereas Sam can assemble either 5 bikes or 5 computers. Based on the data, which of the following statements is correct? 
Options:
aoVal: A
content: Sam has an absolute advantage in assembling bikes. 
aoVal: B
content: Sam has an absolute advantage in assembling computers. 
aoVal: C
content: Sam has a comparative advantage in assembling bikes. 
aoVal: D
content: Jack has a comparative advantage in assembling bikes. 
aoVal: E
content: Jack has a comparative advantage in assembling both bikes and computers. 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: 19+23-21，$$Which$$ country does the number "19" from? 
Options:
aoVal: A
content: $$+$$ 
aoVal: B
content: $$-$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas
Source: 其它
Problem: Who is right?  Anna: "The largest number possible has $$6$$ digits."  Boris: "The largest number possible has $$1000$$ digits."  Caroline: "The largest number possible can be only written with the $$9$$ digits."  Daniel: "The largest number possible cannot be written."  Else: "The largest number possible has $$0$$ as the last digit."~($$2006$$ Math Kangaroo Problem, Level $$1-2$$, Question \#$$21$$) 
Options:
aoVal: A
content: $$$$Anna 
aoVal: B
content: $$$$Boris 
aoVal: C
content: $$$$Caroline 
aoVal: D
content: $$$$Daniel 
aoVal: E
content: $$$$Else 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->Comparing and Ordering Whole Numbers
Problem: A produce supplier ships boxes of produce to individual customers. The distribution of weights of shipped boxes is approximately normal with mean 36 pounds and standard deviation 4 pounds. Which expression represents the weight, in pounds, at the 75th percentile of the distribution? 
Options:
aoVal: A
content: -1.96(4) + 36 
aoVal: B
content: -0.25(4) + 36 
aoVal: C
content: 0.25(4) + 36 
aoVal: D
content: 0.67(4) + 36 
aoVal: E
content: 0.75(4) + 36 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of the following numbers\textquotesingle{} value does not change after removing all ``$$0$$''s ． 
Options:
aoVal: A
content: $$120.221$$ 
aoVal: B
content: $$4.401$$ 
aoVal: C
content: $$2424.390$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals
Source: 其它
Problem: $\textasciitilde$  Which of the following numbers when rounded off to the nearest ten becomes $$26500$$? 
Options:
aoVal: A
content: $$26449$$ 
aoVal: B
content: $$26495$$ 
aoVal: C
content: $$26507$$ 
aoVal: D
content: $$26563$$ 
Answer: B
Analysis: N/A.　 
Knowledge points: Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Estimation->Estimating the Results of Computations->Rounding Whole Numbers
Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion
Problem: Dean swims for $72$ minutes. To keep his mind active, he works out what fraction of the total time has passed at each half minute and minute from the start. How many of the results of his calculations can be expressed in the form $\frac{1}{n}$, where $n$ is an integer greater than $1$? 
Options:
aoVal: A
content: $$12$$ 
aoVal: B
content: $$13$$ 
aoVal: C
content: $$14$$ 
aoVal: D
content: $$15$$ 
aoVal: E
content: $$16$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->Factorization
Source: 其它
Problem: Stamps cost $65$p each.  How many stamps can Peter purchase with a £$5$ note? 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$7$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$9$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the value of $$3^{5}+3^{5}+3^{5}$$? 
Options:
aoVal: A
content: $$3^{8}$$ 
aoVal: B
content: $$3^{15}$$ 
aoVal: C
content: $$3^{125}$$ 
aoVal: D
content: $$3^{6}$$ 
aoVal: E
content: $5^{3}$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers
Problem: Express $$1.6$$ as a percentage. 
Options:
aoVal: A
content: $$160\textbackslash\%$$ 
aoVal: B
content: $$16\textbackslash\%$$ 
aoVal: C
content: $$0.16\textbackslash\%$$ 
aoVal: D
content: $$0.016\textbackslash\%$$ 
Answer: A
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals
Problem: when we know the total number, and want to part of it,which operation should be used? 
Options:
aoVal: A
content: $$+$$ 
aoVal: B
content: $$-$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Source: 其它
Problem: $$2$$ fives $$=$$． 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$10$$ 
aoVal: D
content: $$25$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division
Problem: Sean and Evan are college roommates who have part-time jobs as servers in restaurants. The distribution of Sean\textquotesingle s weekly income is approximately normal with mean $\textbackslash$$225 and standard deviation $\textbackslash$$25. The distribution of Evan\textquotesingle s weekly income is approximately normal with mean $\textbackslash$$240 and standard deviation $\textbackslash$$15. Assuming their weekly incomes are independent of each other, which of the following is closest to the probability that Sean will have a greater income than Evan in a randomly selected week? 
Options:
aoVal: A
content: $$0.067$$ 
aoVal: B
content: $$0.159$$ 
aoVal: C
content: $$0.227$$ 
aoVal: D
content: $$0.303$$ 
aoVal: E
content: $$0.354$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: For a Fibonacci sequence, from the third term, each term in the sequence is the sum of the previous two terms in that sequence. Given that in a Fibonacci sequence, the fifth term is $17$ and the sixth term is $27$. What is the first term in this Fibonacci sequence? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$4$$ 
aoVal: E
content: $$5$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables
Source: 其它