math-eval/TAL-SCQ5K huggingface dataset:
Problem: Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99 percent confidence interval for the average age at which children begin to walk will be constructed using the data obtained from the sample of children. Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval? 
Options:
aoVal: A
content: $$400$$ 
aoVal: B
content: $$900$$ 
aoVal: C
content: $$1300$$ 
aoVal: D
content: $$1600$$ 
aoVal: E
content: $$2100$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of the following commonly used conversion factors cannot be used to convert length units? 
Options:
aoVal: A
content: $\frac{1\text{km}}{1000\text{m}}$ 
aoVal: B
content: $\frac{1\text{Ton}}{2000\text{lb}}$ 
aoVal: C
content: $\frac{1\text{mi}}{1760\text{yd}}$ 
aoVal: D
content: $\frac{1\text{in}}{2.54\text{cm}}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion
Source: 其它
Problem: $a$ is $25\textbackslash\%$ more than $3600$, and b is $20\textbackslash\%$ less than $a$. What is the value of $b$? 
Options:
aoVal: A
content: $$2304$$ 
aoVal: B
content: $$2880$$ 
aoVal: C
content: $$3600$$ 
aoVal: D
content: $$4500$$ 
aoVal: E
content: $$5625$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: 6\times (45-38) 
Options:
aoVal: A
content: +/- 
aoVal: B
content: \times /\div 
aoVal: C
content: （） 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Source: 其它
Problem: Calculate:  $4231-4123=$~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $$100$$ 
aoVal: B
content: $$108$$ 
aoVal: C
content: $$105$$ 
aoVal: D
content: $$107$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers
Source: 其它
Problem: Solve the equation below.  $$5x+15=8x-12$$ 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$9$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions
Problem: Which of these fractions expressions has the \textbf{largest}~value? 
Options:
aoVal: A
content: $$\frac{1}{6}+\frac{1}{3}$$ 
aoVal: B
content: $$\frac{1}{3}-\frac{1}{6}$$ 
aoVal: C
content: $$\frac{1}{3} \times \frac{1}{6}$$ 
aoVal: D
content: $$\frac{1}{3} \div \frac{1}{6}$$ 
aoVal: E
content: $$\frac{1}{6} \div \frac{1}{3}$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions
Problem: Calculate:  $400 \times 20 =$~\uline{~~~~~~~~~~}~$\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde$$60 \times 30 =$~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: $6000$; $1800$ 
aoVal: B
content: $800$; $900$ 
aoVal: C
content: $800$; $1800$ 
aoVal: D
content: $8000$; $1800$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of the following statements is false? 
Options:
aoVal: A
content: $3.5\textless\sqrt{15}\textless4$ 
aoVal: B
content: $4\textless\sqrt{19}\textless4.5$ 
aoVal: C
content: $4.5\textless\sqrt{21}\textless5$ 
aoVal: D
content: $5.5\textless\sqrt{30}\textless6$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating
Source: 其它
Problem: Leander has a box with fewer than $80$ erasers in it. The erasers can be divided evenly between $2$, $3$, or $4$ children. However, they cannot be divided evenly between $11$ children because $5$ more erasers would be needed. How many erasers are there in the box? 
Options:
aoVal: A
content: $$36$$ 
aoVal: B
content: $$50$$ 
aoVal: C
content: $$61$$ 
aoVal: D
content: $$72$$ 
aoVal: E
content: $$80$$ 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is the missing number in the number pattern below?  $$2750$$, $$2950$$, $$2850$$,~\uline{~~~~~~~~~~}~, $$2950$$, $$3150$$, $$3050$$ 
Options:
aoVal: A
content: $$2750$$ 
aoVal: B
content: $$2850$$ 
aoVal: C
content: $$2950$$ 
aoVal: D
content: $$3050$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences
Problem: Which of the following expression(s) is equivalent to $\frac{1}{27}$ ?  $I.$ $3^{-3}$  $II.$ $\left( \frac{1}{3} \right)^{3}$  $III.$ $\left( -\frac{1}{3} \right)^{3}$  $\textasciitilde$ 
Options:
aoVal: A
content: $I$ only 
aoVal: B
content: $II$ only 
aoVal: C
content: $I$ and $II$ 
aoVal: D
content: $I$, $II$, and $III$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $2.1\div0.07=$? 
Options:
aoVal: A
content: $$0.03$$ 
aoVal: B
content: $$0.3$$ 
aoVal: C
content: $$3$$ 
aoVal: D
content: $$30$$ 
aoVal: E
content: $$300$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $2+(3\times6+4)\div2=?$ 
Options:
aoVal: A
content: $$17$$ 
aoVal: B
content: $$13$$ 
aoVal: C
content: none of these 
aoVal: D
content: $$12$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations
Problem: Eddie has $$y$$ toys. Bob has $$150$$ more than two times the number of toys Eddie has. Bob hastoys． 
Options:
aoVal: A
content: $$2y+150$$ 
aoVal: B
content: $$2(y+150)$$ 
aoVal: C
content: $$2y-150$$ 
aoVal: D
content: $$2(y-150)$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions
Problem: $3\dfrac{2}{5}-\dfrac{1}{4}=$ 
Options:
aoVal: A
content: $3\dfrac{1}{5}$ 
aoVal: B
content: $3\dfrac{3}{20}$ 
aoVal: C
content: $3\dfrac{1}{4}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions
Source: 其它
Problem: Use the numbers $2$, $3$, $8$ to form a three-digit number, the number cannot be reused.  What is the sum of the maximum $3$-digit number~and the minimum $3$-digit number？ 
Options:
aoVal: A
content: $$611$$ 
aoVal: B
content: $$655$$ 
aoVal: C
content: $$1042$$ 
aoVal: D
content: $$1061$$ 
aoVal: E
content: $$1070$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers
Source: 其它
Problem: The students in a class sit in rows. There is the same number of students in each row. There are 2 rows of students in front of Robert and 1 row of students behind him. In his row, there are on 3 students on his left and 5 students on his right. How many students are there in this class? (2022 Math Kangaroo Problem, Level 3-4, Question \#15) 
Options:
aoVal: A
content: $$10$$ 
aoVal: B
content: $$17$$ 
aoVal: C
content: $$18$$ 
aoVal: D
content: $$27$$ 
aoVal: E
content: $$36$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Calculate the sum below  $6+3+8+7+4+2$ 
Options:
aoVal: A
content: $$30$$ 
aoVal: B
content: $$40$$ 
aoVal: C
content: $$29$$ 
aoVal: D
content: $$20$$ 
aoVal: E
content: $$31$$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is $$270\div (50\times 1.8)$$? 
Options:
aoVal: A
content: $$3$$ 
aoVal: B
content: $$9.72$$ 
aoVal: C
content: $$30$$ 
aoVal: D
content: $$33$$ 
aoVal: E
content: $$97.2$$ 
Answer: A
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Mixed Operations of Multiplication and Division of Decimals
Problem: Wade\textquotesingle s birthday was yesterday. It\textquotesingle s Monday tomorrow. What day was Wade\textquotesingle s birthday? 
Options:
aoVal: A
content: Monday 
aoVal: B
content: Thursday 
aoVal: C
content: Friday 
aoVal: D
content: Saturday 
aoVal: E
content: Sunday 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of the following is the best estimate of $$62\times 35$$? 
Options:
aoVal: A
content: $$60\times 30$$ 
aoVal: B
content: $$60\times 40$$ 
aoVal: C
content: $$70\times 30$$ 
aoVal: D
content: $$70\times 40$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Scaling
Problem: Which of the following fractions is closet to $$\frac{3}{4}$$? 
Options:
aoVal: A
content: $$\frac{5}{8}$$ 
aoVal: B
content: $$\frac{2}{3}$$ 
aoVal: C
content: $$\frac{7}{10}$$ 
aoVal: D
content: $$\frac{1}{2}$$ 
aoVal: E
content: $$\frac{2}{5}$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->By Using Common Multiples to Express Fractions in the Same Denomination->Expressing Fractions with the Same Denominator
Problem: A local restaurant gives teachers a 20\% discount on all their meals. If a teacher pays $14.00 for a meal after the discount was applied, what was the price of the meal before the discount? 
Options:
aoVal: A
content: $ \textbackslash$16.90$ 
aoVal: B
content: $ \textbackslash$17.50$ 
aoVal: C
content: $ \textbackslash$20.00$ 
aoVal: D
content: $ \textbackslash$25.20$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which number is the only multiple of both $9$ and $12$? 
Options:
aoVal: A
content: $$126$$ 
aoVal: B
content: $$84$$ 
aoVal: C
content: $$120$$ 
aoVal: D
content: $$54$$ 
aoVal: E
content: $$144$$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: How many terms and variables does the expression $$5ab-6ac+7b-8+a$$ have, respectively? 
Options:
aoVal: A
content: $$3, 3$$ 
aoVal: B
content: $$3, 4$$ 
aoVal: C
content: $$4, 3$$ 
aoVal: D
content: $$5, 3$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable
Source: 其它
Problem: The height of a seedling is $$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}$$ 
Answer: D
Analysis: N/A. 
Knowledge points: Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Multiplication and Division of Decimals->Multiplication of Decimals->Multiplication of Decimals and Whole Numbers
Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction
Problem: Which of the following inequalities is always true? 
Options:
aoVal: A
content: $57+x\textgreater75$ 
aoVal: B
content: $74\textless47$ 
aoVal: C
content: $$24\leq26$$ 
aoVal: D
content: $24\geq26$ 
Answer: C
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities
Source: 其它
Problem: Ted has exactly one of every type of UK coin and one of every UK bank note up to and including £$50$.  What is the median amount that Ted has? 
Options:
aoVal: A
content: $20\rm p$ 
aoVal: B
content: $35\rm p$ 
aoVal: C
content: $50\rm p$ 
aoVal: D
content: $75\rm p$ 
aoVal: E
content: £$1$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Julie and Angela played "kangball", a ball game. Each goal in their game scores 2 points. Julie scored 5 goals and Angela scored 9 scores. How many more points than Julie did Angela score? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$6$$ 
aoVal: C
content: $$8$$ 
aoVal: D
content: $$10$$ 
aoVal: E
content: $$12$$ 
Answer: C
Analysis: $$N.A.$$ 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: What is $25\textbackslash\%$ of £$84$? 
Options:
aoVal: A
content: £$59$ 
aoVal: B
content: £$21$ 
aoVal: C
content: £$109$ 
aoVal: D
content: £$42$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation
Problem: A rubber ball with mass 0.20kg is dropped vertically from a height of 1.5m above a floor. The ball bounces off of the floor, and during the bounce 0.60J of energy is dissipated. What is the maximum height of the ball after the bounce? 
Options:
aoVal: A
content: $$0.3m$$ 
aoVal: B
content: $$0.9m$$ 
aoVal: C
content: $$1.2m$$ 
aoVal: D
content: $$1.5m$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which of the following inequalities is always false? 
Options:
aoVal: A
content: $5\textgreater3$ 
aoVal: B
content: $\vert x\vert\textless-1$ 
aoVal: C
content: $x+1\textgreater100$ 
aoVal: D
content: $x+y\textgreater2x$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities
Source: 其它
Problem: Put these numbers in order from the smallest to the biggest.  $$0.525\textasciitilde\textasciitilde\textasciitilde\textasciitilde{} 0.7\textasciitilde\textasciitilde\textasciitilde\textasciitilde0.35\textasciitilde\textasciitilde\textasciitilde\textasciitilde0.175$$ 
Options:
aoVal: A
content: $$0.7$$, $$0.525$$, $$0.35$$, $$0.175$$ 
aoVal: B
content: $$0.175$$, $$0.525$$, $$0.35$$, $$0.7$$ 
aoVal: C
content: $$0.175$$, $$0.35$$, $$0.525$$, $$0.7$$ 
aoVal: D
content: $$0.7$$, $$0.35$$, $$0.175$$, $$0.525$$ 
aoVal: E
content: $$0.175$$, $$0.35$$, $$0.7$$, $$0.525$$ 
Answer: C
Analysis: N/A.(UK maths-$$2$$-fam-bookletqueen elizabeth boys\textquotesingle school $$6$$ years Question \#$$21$$) 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals
Problem: Divide $$51$$ by $$7$$.The remainder is.　 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$2$$ 
aoVal: C
content: $$9$$ 
aoVal: D
content: $$5$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders
Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Division of Whole Numbers->Division with Remainder->Long Division with Remainder
Problem: Find the value of~$\left( \dfrac{1\cdot3}{2\cdot2}\right)\left( \dfrac{2\cdot4}{3\cdot3}\right)\left( \dfrac{3\cdot5}{4\cdot4}\right)\cdot\cdot\cdot\left( \dfrac{97\cdot99}{98\cdot98}\right)\left( \dfrac{98\cdot100}{99\cdot99}\right)$? 
Options:
aoVal: A
content: $\dfrac{1}{2}$ 
aoVal: B
content: $\dfrac{50}{99}$ 
aoVal: C
content: $\dfrac{9800}{9801}$ 
aoVal: D
content: $\dfrac{100}{99}$ 
aoVal: E
content: $$50$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: There are two piles of matches. Pile A has $38$ matches and Pile B has $49$ matches. Eddie and Vera take turns to take matches from either pile. The number of matches they can take is unlimited, but they can\textquotesingle t end their turn them without taking any match. The person who takes the last match is the winner. If Eddie goes first, who do you think will win? 
Options:
aoVal: A
content: Eddie 
aoVal: B
content: Vera 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Knowing Units
Problem: There are $25$ questions in a math contest. The testee receives 4 points for each correct answer and loses $2$ points for each problem left unanswered and each incorrect answer. If Irene took part in this test and got a score that is more than $$60$$, she should answer at leastquestions correctly． 
Options:
aoVal: A
content: $$16$$ 
aoVal: B
content: $$17$$ 
aoVal: C
content: $$18$$ 
aoVal: D
content: $$19$$ 
Answer: D
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities
Source: 其它
Problem: Which of the following pairs of sample size n and population proportion p would produce the greatest standard deviation for the sampling distribution of a sample proportion~$\overset{\wedge}{p}$? 
Options:
aoVal: A
content: n = 1,000 and p close to 0 
aoVal: B
content: n = 1,000 and p close to 1 
aoVal: C
content: n = 1,000 and p close to~$\dfrac{1}{2}$ 
aoVal: D
content: n = 100 and p close to 0 
aoVal: E
content: n = 100 and p close to~$\dfrac{1}{2}$ 
Answer: E
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Which one of the following has the same value as $$7\div\frac{3}{5}$$? 
Options:
aoVal: A
content: $$\frac{7}{1} \times \frac{5}{3}$$ 
aoVal: B
content: $$\frac{7}{1} \times \frac{3}{5}$$ 
aoVal: C
content: $$\frac{1}{7} \times \frac{3}{5}$$ 
aoVal: D
content: $$\frac{1}{7} \times \frac{5}{3}$$ 
Answer: A
Analysis: \hspace{0pt}N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions
Problem: A meter shows that a household uses $6$p of electricity per hour from $00:00$ to $07:00$, $8$p of electricity per hour from $07:00$ to $16:00$, $10$p of electricity per hour from $16:00$ to $00:00$. What is the cost of electricity over $24$ hours? 
Options:
aoVal: A
content: £$1.82$ 
aoVal: B
content: £$1.94$ 
aoVal: C
content: £$1.20$ 
aoVal: D
content: £$2.02$ 
aoVal: E
content: £$2$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: Find the difference between the largest possible number and the smallest possible number that can be made by rearranging the digits $82561$. 
Options:
aoVal: A
content: $$73963$$ 
aoVal: B
content: $$73853$$ 
aoVal: C
content: $$73953$$ 
aoVal: D
content: $$74953$$ 
aoVal: E
content: $$74963$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: The length of a sheet of paper is $12.5$ inches. What is this length in centimeters ? 
Options:
aoVal: A
content: $31.75$ 
aoVal: B
content: $4.9$ 
aoVal: C
content: $12.5$ 
aoVal: D
content: $3.175$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion
Source: 其它
Problem: $3.094+0.06=?$ 
Options:
aoVal: A
content: $$3.154$$ 
aoVal: B
content: $$3.694$$ 
aoVal: C
content: $$3.10$$ 
aoVal: D
content: $$3.09406$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals
Problem: $\frac{320}{x}=64$  What is the value of $x$? 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$8$$ 
aoVal: E
content: $$12$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: The average of two numbers is $$38$$. When a third number is added, the average of the three numbers is $$40$$. Find the third number. 
Options:
aoVal: A
content: $$39$$ 
aoVal: B
content: $$42$$ 
aoVal: C
content: $$44$$ 
aoVal: D
content: $$82$$ 
Answer: C
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions
Overseas In-curriculum->Knowledge Point->Data->Data Analysis->Mean->Application the Mean
Problem: What is the next number in the sequence below?  29, 28, 25, 20, 13, $\cdots $ 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$5$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$7$$ 
aoVal: E
content: None of the above 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences
Source: 其它
Problem: What is the sum: $$3+7+2+8+1=$$. ($$2007$$ Math Kangaroo Problem, Level $$1-2$$, Question \#$$17$$) 
Options:
aoVal: A
content: $$12$$ 
aoVal: B
content: $$14$$ 
aoVal: C
content: $$17$$ 
aoVal: D
content: $$21$$ 
aoVal: E
content: $$27$$ 
Answer: D
Analysis: N/A.　 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form
Problem: Randy buys a box of paperclips for $45$ cents, a marker for $65$ cents, and a note pad for $90$ cents. How much does he pay in total in dollars? 
Options:
aoVal: A
content: $$200$$ 
aoVal: B
content: $$20$$ 
aoVal: C
content: $$19$$ 
aoVal: D
content: $$2$$ 
aoVal: E
content: $$1.9$$ 
Answer: D
Analysis: N/A 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Money
Source: 其它
Problem: Complete the number pattern.  $$2946$$, $$2926$$, $$2906$$, $$^{}\boxed ~{\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde}$$, $$2866$$ . 
Options:
aoVal: A
content: $$2706$$ 
aoVal: B
content: $$2886$$ 
aoVal: C
content: $$2926$$ 
aoVal: D
content: $$2986$$ 
Answer: B
Analysis: N/A. 
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences
Problem: Which of the following is the reciprocal of $\frac{2}{7}$? 
Options:
aoVal: A
content: $\frac{2}{7}$ 
aoVal: B
content: $\frac{7}{2}$ 
aoVal: C
content: $-\frac{2}{7}$ 
aoVal: D
content: $-\frac{7}{2}$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Fractions
Source: 其它
Problem: The volume formula of rectangular prism is $$V=Bh$$. How many variables are dependent variables? 
Options:
aoVal: A
content: $$0$$ 
aoVal: B
content: $$1$$ 
aoVal: C
content: $$2$$ 
aoVal: D
content: $$3$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable
Source: 其它
Problem: A sweet costs 9p. How many sweets can Avril buy for 56p?~\uline{~~~~~~~~~~}~ 
Options:
aoVal: A
content: $$2$$ 
aoVal: B
content: $$4$$ 
aoVal: C
content: $$6$$ 
aoVal: D
content: $$7$$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders
Source: 其它
Problem: Which of the following is equivalent to $\sqrt[3]{a^{2}} \cdot a^{}\frac{1}{2}$ ?  $\textasciitilde$ 
Options:
aoVal: A
content: $a^{}\frac{7}{6}$ 
aoVal: B
content: $a^{}\frac{1}{3}$ 
aoVal: C
content: $a^{2}$ 
aoVal: D
content: $a^{}\frac{4}{9}$ 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: If $2x+3y=1$, what is $9^{}x \cdot 27^{}y$ 
Options:
aoVal: A
content: $$1$$ 
aoVal: B
content: $$3$$ 
aoVal: C
content: $$9$$ 
aoVal: D
content: $$27$$ 
Answer: B
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules
Source: 其它
Problem: $\frac{3a}{5}+\frac{2b}{5}-\frac{a}{2}$ =~\uline{~~~~~~~~~~}~. 
Options:
aoVal: A
content: $\frac{1}{2}a$ 
aoVal: B
content: $a+\frac{2}{5}b$ 
aoVal: C
content: $\frac{1}{10}a+\frac{2}{5}b$ 
aoVal: D
content: $\frac{5}{3}a$ 
Answer: C
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions
Problem: What is the next number in the sequence below?  7, 8, 6, 9, 5, 10, $\cdots $ 
Options:
aoVal: A
content: $$4$$ 
aoVal: B
content: $$11$$ 
aoVal: C
content: $$14$$ 
aoVal: D
content: $$15$$ 
aoVal: E
content: None of the above 
Answer: A
Knowledge points: Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences
Source: 其它