math-eval/TAL-SCQ5K huggingface dataset:
Problem: Jane goes shopping.  She spends half her money in the supermarket.  She then spends one third of what she has left in a coffee bar.  Finally, Jane returns home in a taxi that costs her £$8$.  If Jane has £$12$ left, how much money did she start with? 
Options:
aoVal: A
content: £$$48$$ 
aoVal: B
content: £$$60$$ 
aoVal: C
content: £$$72$$ 
aoVal: D
content: £$$36$$ 
aoVal: E
content: £$$54$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions
Source: 其它
Problem: Which of the following inequalities is always true? 
Options:
aoVal: A
content: $$3-x\geqslant 0$$ 
aoVal: B
content: $$\textbar x\textbar\leqslant 0$$ 
aoVal: C
content: $$-1\textless0$$ 
aoVal: D
content: $$a-a\textless0$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities
Source: 其它
Problem: Elma took $$2$$ candy bars to school. First, she traded each of them for $$4$$ apples, and then she traded each of the apples for $$3$$ mandarin oranges. How many mandarin oranges did she have after all the trading? 
Options:
aoVal: A
content: $$2+4+3$$ 
aoVal: B
content: $$2\times4+3$$ 
aoVal: C
content: $$2+4\times3$$ 
aoVal: D
content: $$2\times4\times3$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Object Substitution
Problem: Peter has $15$ dollars and $80$ cents. Two pencils cost $3.80$ dollars, and one ruler is $70$ cents cheaper than one pencil. After buying one pencil and two rulers, how much does he have left? 
Options:
aoVal: A
content: $11.5.$ dollars 
aoVal: B
content: $10.5.$ dollars 
aoVal: C
content: $10.8.$ dollars 
aoVal: D
content: $12.7.$ dollars 
aoVal: E
content: $9.5.$ dollars 
Answer: A
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the value of $(2\times10^{3})\times (3\times10^{2})$?  $\textasciitilde$ 
Options:
aoVal: A
content: $6\times 10^{6}$ 
aoVal: B
content: $6\times 10^{5}$ 
aoVal: C
content: $5\times 10^{6}$ 
aoVal: D
content: $5\times 10^{5}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: A number when rounded to the nearest tenth is $$4.0$$. Which of the following is the original number? 
Options:
aoVal: A
content: $$3.898$$ 
aoVal: B
content: $$3.945$$ 
aoVal: C
content: $$4.046$$ 
aoVal: D
content: $$4.196$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals
Problem: Let $$a\square b=a(b+3)-4b$$ for any real numbers $$a$$, $$b$$. The solution of the equation $$8\square 5=6\square x$$ is:． 
Options:
aoVal: A
content: $$10$$ 
aoVal: B
content: $$11$$ 
aoVal: C
content: $$12$$ 
aoVal: D
content: $$13$$ 
aoVal: E
content: $$14$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Unknowns Using the Given Operations
Problem: MIchael had several books. He sold half of them, and then he bought $20$ books. Finally the number of his books wasn\textquotesingle t changed. How many books did he have at first? 
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
Source: 其它
Problem: A number when rounded off to the nearest ten has a value of $$400$$.  What could be the number?． 
Options:
aoVal: A
content: $$390$$ 
aoVal: B
content: $$395$$ 
aoVal: C
content: $$405$$ 
aoVal: D
content: $$409$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers
Problem: Which of the following is the correct expression of $0.4666\dots$? 
Options:
aoVal: A
content: $0.4\dot{6}\dot{6}$ 
aoVal: B
content: $0.4\dot{6}$ 
aoVal: C
content: $0.466\dot{6}$ 
aoVal: D
content: $0.\dot{4}\dot{6}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals
Source: 其它
Problem: Which of the following fraction is the largest? 
Options:
aoVal: A
content: $$\frac{7}{12}$$ 
aoVal: B
content: $$\frac{5}{8}$$ 
aoVal: C
content: $$\frac{1}{2}$$ 
aoVal: D
content: $$\frac{3}{4}$$ 
aoVal: E
content: $$\frac{11}{24}$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering
Source: 其它
Problem: I am making a scale model of a ship, which is 120m long. If the scale is 1:400, how long will the model yacht be (in cm)? 
Options:
aoVal: A
content: $$3\text{m}$$ 
aoVal: B
content: $$3 \text{cm}$$ 
aoVal: C
content: $$30\text{cm}$$ 
aoVal: D
content: $$0.03 \text{m}$$ 
aoVal: E
content: $$300\text{cm}$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale
Problem: Which one of the following expressions has the same result as~$43.23\div7.2$? 
Options:
aoVal: A
content: $4323\div72$ 
aoVal: B
content: $4.323\div7.2$ 
aoVal: C
content: $432.3\div7.2$ 
aoVal: D
content: $432.3\div72$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals
Source: 其它
Problem: If Coke makes the Bill Cosby ad and Pepsi makes no ad then what is Pepsi's payoff? 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$4$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: I buy $6$ packets of crisps from the $98$p store where everything costs $98$p.Howmuch change do I get from￡$10$？ 
Options:
aoVal: A
content: ￡$4.12$ 
aoVal: B
content: ￡$5.94$ 
aoVal: C
content: ￡$5.88$ 
aoVal: D
content: $98$p 
aoVal: E
content: ￡$6.98$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Fast Multiplication and Division of Decimals
Problem: A lot of babies were born in the zoo last year: two baby tigers, three baby whales and four baby parrot. 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: Two friends, Andy and Bob, participate in a game of bowling every week. From past experiences, it is known that both friends \textquotesingle scores are approximately normally distributed, where Andy has a mean score of 150 with a standard deviation of 30, and Bob has a mean score of 165 with a standard deviation of 15. Assuming that their scores are independent, which of the following values is closest to the probability that Andy will have a greater score than Bob in single game? 
Options:
aoVal: A
content: $$0.16$$ 
aoVal: B
content: $$0.28$$ 
aoVal: C
content: $$0.31$$ 
aoVal: D
content: $$0.33$$ 
aoVal: E
content: $$0.37$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: You are going to create a 95\% confidence interval fora population proportion and want the margin of error to be no more than 0.05. Historical data indicate that the population proportionis about 0.7. What is the minimum size random sample you need to construct this interval? 
Options:
aoVal: A
content: $$385$$ 
aoVal: B
content: $$322$$ 
aoVal: C
content: $$274$$ 
aoVal: D
content: $$275$$ 
aoVal: E
content: $$323$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of the following is a correct unit for acceleration? 
Options:
aoVal: A
content: $m/s$ 
aoVal: B
content: $m/s^{2}$ 
aoVal: C
content: $m/s^{3}$ 
aoVal: D
content: $m/s^{4}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion
Source: 其它
Problem: $3a-a=$ 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $2a$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions
Source: 其它
Problem: Find the missing number in~ the pattern~ below?  $$1$$, $$1$$, $$2$$, $$3$$, $$5$$, $$8$$, ?, $$21$$, $$34$$ 
Options:
aoVal: A
content: $$9$$ 
aoVal: B
content: $$10$$ 
aoVal: C
content: $$12$$ 
aoVal: D
content: $$13$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences
Problem: A shopkeeper sold 101 pineapples in a day. The pineapples sold in the afternoon is 31 more than the pineapples sold in the morning. How many pineapples were sold in the afternoon? 
Options:
aoVal: A
content: $$35$$ 
aoVal: B
content: $$49$$ 
aoVal: C
content: $$66$$ 
aoVal: D
content: $$70$$ 
aoVal: E
content: $$75$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction
Problem: Decrease £$4$4 by $10\textbackslash\%$ 
Options:
aoVal: A
content: £$39.60$ 
aoVal: B
content: £$4.40$ 
aoVal: C
content: £$48.40$ 
aoVal: D
content: £$34$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions
Problem: I am thinking of two numbers. Their common factors are only $$1$$ and $$2$$. Their first (lowest) common multiple is $$12$$. If one of the numbers is $$6$$, what is the other number? 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$4$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$12$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Taylor buys two hats that cost £$7.15$ each. How much change does Taylor receive from a £$20$ note? 
Options:
aoVal: A
content: £$6.70$ 
aoVal: B
content: £$5.70$ 
aoVal: C
content: £$12.85$ 
aoVal: D
content: £$14.30$ 
aoVal: E
content: £$8.70$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $$39\times 999=$$ 
Options:
aoVal: A
content: $$38961$$ 
aoVal: B
content: $$38999$$ 
aoVal: C
content: $$38981$$ 
aoVal: D
content: $$39910$$ 
aoVal: E
content: $$39995$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers
Source: 其它
Problem: Round 713 675 to the nearest hundred. 
Options:
aoVal: A
content: 714 000 
aoVal: B
content: 713 700 
aoVal: C
content: 713 680 
aoVal: D
content: 713 670 
aoVal: E
content: 713 600 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Rounding Numbers
Source: 其它
Problem: My friend Sanjay is making a scale model of the London Ear (a famous landmark in London). The London Ear is 80m tall and his model is 150cm tall. What is the scale of the model, in its simplest form? 
Options:
aoVal: A
content: 8:15 
aoVal: B
content: 15:8 
aoVal: C
content: 3:160 
aoVal: D
content: 3:16 
aoVal: E
content: 80:15 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale
Source: 其它
Problem: Divide $$6$$ by $$7$$.  Round your answer to the nearest tenth. 
Options:
aoVal: A
content: $$0.8$$ 
aoVal: B
content: $$0.9$$ 
aoVal: C
content: $$1.1$$ 
aoVal: D
content: $$1.2$$ 
aoVal: E
content: $$1.4$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals
Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Multiplication and Division of Decimals->Division of Decimals->Approximate Numbers of Quotients in Decimal Division
Problem: Mom divides 8 cupcakes into 3 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: $$3x\geqslant 8$$ 
aoVal: B
content: $$3x\leqslant 8$$ 
aoVal: C
content: $$3x = 8$$ 
aoVal: D
content: $$x\geqslant 8$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities
Source: 其它
Problem: Which of the following groups has equivalent ratios? 
Options:
aoVal: A
content: $4$ to $3$, $\frac{0.4}{3}$ 
aoVal: B
content: $\frac{4}{3}$, $8$ to $9$ 
aoVal: C
content: $$\frac{4}{3}$$, $8:6$ 
aoVal: D
content: $4:3$, $\frac{2}{3}$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions
Source: 其它
Problem: Which choice is correct:  $$12:15=$$~\uline{~~~~~~~~~~}~，$$96:72=$$~\uline{~~~~~~~~~~}~． 
Options:
aoVal: A
content: $$4:5$$，$$3:4$$ 
aoVal: B
content: $$4:5$$，$$16:9$$ 
aoVal: C
content: $$4:5$$，$$4:3$$ 
aoVal: D
content: $$3:5$$，$$4:3$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions
Problem: Helen said to Mary, "If you give me 4 apples, I will have exactly as many apples as you." How many more apples does Mary have than Helen? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$12$$ 
aoVal: E
content: $$15$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities->Solving Inequalities
Source: 其它
Problem: What is the sum of the following numbers?  $$2017+7012+271=$$ 
Options:
aoVal: A
content: $$9200$$ 
aoVal: B
content: $$9290$$ 
aoVal: C
content: $$9300$$ 
aoVal: D
content: $$9390$$ 
aoVal: E
content: None of the above 
Answer: C
Analysis: $$N.A$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Suppose a block with mass 4kg is placed on a horizontal table. Ryan tried to push the block to right with force 4N but failed. He then tried to push with 6N and 8N, both didn\textquotesingle t work. Lastly, Ryan pushed with 8.1N force, and the block finally moved. What is the friction acting on the block when Ryan pushes with 4N, 6N, and 8N, separately?  $\textasciitilde$  $\textasciitilde$ 
Options:
aoVal: A
content: 4N, 6N, 8N, all to left 
aoVal: B
content: 8N, 8N, 8N, all to left 
aoVal: C
content: 4N, 6N, 8N, all to right 
aoVal: D
content: 8.1N, 8.1N, 8.1N, all to right 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions
Source: 其它
Problem: Five girls ate some plums. Lauren ate two plums more than sophie. Betty ate three plums fewer than lauren. Claire ate one plum more than Betty and three plums fewer than Alice. Which two girls ate the same number of plums? (2022 Math Kangaroo Problem, Level 3-4, Question \#22) 
Options:
aoVal: A
content: Claire and Lauren 
aoVal: B
content: Claire and Sophie 
aoVal: C
content: Lauren and Alice 
aoVal: D
content: Sophie and Alice 
aoVal: E
content: Alice and Betty 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: A large-sample 98 percent confidence interval for the proportion of hotel reservations that are canceled on the intended arrival day is (0.048,0.112). What is the point estimate for the proportion of hotel reservations that are canceled on the intended arrival day from which this interval was constructed？ 
Options:
aoVal: A
content: $$0.032$$ 
aoVal: B
content: $$0.064$$ 
aoVal: C
content: $$0.080$$ 
aoVal: D
content: $$0.160$$ 
aoVal: E
content: It cannot be determined from the information given. 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: A hypothesis test in which n = 250 is set up so that P (rejecting H\textsubscript{0}, when H\textsubscript{0~}is true) = 0.05. Which of the following is true? 
Options:
aoVal: A
content: We can increase the power if we let alpha = 0.05. 
aoVal: B
content: We can increase the power if we let alpha = 0.01. 
aoVal: C
content: We can increase the power if we let n = 200. 
aoVal: D
content: We can decrease the power if we let n = 200. 
aoVal: E
content: We can decrease the power if we let n = 300. 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the tax incidence on the sellers in this market? 
Options:
aoVal: A
content: $2 
aoVal: B
content: $4 
aoVal: C
content: $5 
aoVal: D
content: $7 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables
Source: 其它
Problem: A state study on labor reported that one-third of full-time teachers in the state also worked part time at another job. For those teachers, the average number of hours worked per week at the part-time job was 13. After an increase in state teacher salaries, a random sample of 400 teachers who worked part time at another job was selected. The average number of hours worked per week at the part-time job for the teachers in the sample was 12.5 with standard deviation 6.5 hours. Is there convincing statistical evidence. at the level of a = 0.05, that the average number of hours worked per week at part-time jobs decreased after the salary increase? 
Options:
aoVal: A
content: No. The p-value of the appropriate test is greater than 0.05. 
aoVal: B
content: No. The p-value of the appropriate test is less than 0.05. 
aoVal: C
content: Yes. The p-value of the appropriate test is greater than 0.05. 
aoVal: D
content: Yes. The p-value of the appropriate test is less than 0.05. 
aoVal: E
content: Not enough information is given to determine whether there is convincing statistical evidence. 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the least possible value of $$21x+14y$$, if $$xy=6$$ and $$y\textgreater0$$? 
Options:
aoVal: A
content: $$48$$ 
aoVal: B
content: $$83.5$$ 
aoVal: C
content: $$84$$ 
aoVal: D
content: $$96$$ 
aoVal: E
content: $$78$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Indefinite Equations->Indeterminate Addition Equations
Problem: Amul divided a whole number less than $$200$$ by a whole number greater than $$15$$.  The result was a whole number.  What is the largest possible result of Amul\textquotesingle s division? 
Options:
aoVal: A
content: $$13$$ 
aoVal: B
content: $$12$$ 
aoVal: C
content: $$14$$ 
aoVal: D
content: $$11$$ 
aoVal: E
content: $$15$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers
Problem: If $6x+3y=3$, then what is the value of $16^{}x\cdot 4^{}y$ ?  $\textasciitilde$ 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$16$$ 
aoVal: C
content: $$20$$ 
aoVal: D
content: $$64$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Observe the number pattern below. What is the missing number?  $1$, $1$, $2$, $3$, $5$, $8$,~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: $$11$$ 
aoVal: B
content: $$12$$ 
aoVal: C
content: $$13$$ 
aoVal: D
content: $$14$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->The Fibonacci Sequences (Rabbit Sequences)
Source: 其它
Problem: If $x^{}\frac{y}{3}=3$ for some positive $x$ and $y$, which of the following is a possible value of $x$ ?  $\textasciitilde$ 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$9$$ 
aoVal: D
content: $$18$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Jerry wanted to buy an eraser at $35$ cents. He paid the cashier $1.00$ dollar.  How much change did he receive? 
Options:
aoVal: A
content: $1.35$ dollars 
aoVal: B
content: $0.75$ dollars 
aoVal: C
content: $0.65$ dollars 
aoVal: D
content: $0.55$ dollars 
aoVal: E
content: $0.35$ dollars 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of these numbers is the largest? 
Options:
aoVal: A
content: $$7.08$$ 
aoVal: B
content: $$0.708$$ 
aoVal: C
content: $$8.07$$ 
aoVal: D
content: $$0.870$$ 
aoVal: E
content: $$8.7$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals
Problem: What\textquotesingle s the product of 16 and 5? 
Options:
aoVal: A
content: $$50$$ 
aoVal: B
content: $$80$$ 
aoVal: C
content: $$83$$ 
aoVal: D
content: $$21$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division
Source: 其它
Problem: A university will add fruit juice vending machines to its classroom buildings if the student body president is convinced that more than 20 percent of the students will use them. A random sample of n students will be selected and asked whether or not they would use the vending machines. A large-sample test for proportions at the significance level of $\alpha$=0.05 will be performed. The null hypothesis that the proportion of all students who would use the vending machines is 20 percent will be tested against the alternative that more than 20 percent of all students would use them. For which of the following situations would the power of the test be highest? 
Options:
aoVal: A
content: The sample size is n= 750, and 20 percent of all students use the vending machines. 
aoVal: B
content: The sample size is n=750, and 25 percent of all students use the vending machines. 
aoVal: C
content: The sample size is n=1,000, and 25 percentof allstudents use the vending machines. 
aoVal: D
content: The sample size is n=500, and 50 percent of all students use the vending machines. 
aoVal: E
content: The sample size is n=1,000, and 50 percent of all students use the vending machines 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the value of $$20-6\div2\times ( 2+3)$$? 
Options:
aoVal: A
content: $$5$$ 
aoVal: B
content: $$15$$ 
aoVal: C
content: $$35$$ 
aoVal: D
content: $$85$$ 
Answer: A
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Problem: $0.6$ is the same as: 
Options:
aoVal: A
content: $\dfrac{1}{6}$ 
aoVal: B
content: $\dfrac{3}{5}$ 
aoVal: C
content: $\dfrac{2}{3}$ 
aoVal: D
content: $\dfrac{1}{3}$ 
aoVal: E
content: $\dfrac{6}{100}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Decimals into Fractions
Problem: What number is $$339$$ less than two thousand and eighteen? 
Options:
aoVal: A
content: $$1669$$ 
aoVal: B
content: $$1679$$ 
aoVal: C
content: $$1689$$ 
aoVal: D
content: $$1779$$ 
aoVal: E
content: $$1789$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form
Problem: How long Jingyi used to drive across US? 
Options:
aoVal: A
content: 2 hours 
aoVal: B
content: 1 day 
aoVal: C
content: 5 days 
aoVal: D
content: 10 day 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Patterns
Source: 其它
Problem: Find the next number in the sequence below.  $$8, 10, 6, 12, 4, 14, 2,$$~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$10$$ 
aoVal: C
content: $$16$$ 
aoVal: D
content: $$18$$ 
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