Arithmetic

Problems related to basic calculations, fractions, decimals, etc.

Problems in this category

The problem asks us to simplify the expression $\sqrt{12} + \sqrt{75} - 3\sqrt{27}$.

SimplificationRadicalsSquare RootsAlgebraic Manipulation
2025/4/21

We need to find which of the fractions $\frac{399}{1000}$, $\frac{199}{500}$, $\frac{41}{100}$, $\fr...

FractionsDecimalsComparing FractionsAbsolute Value
2025/4/21

We are given the population of Tokyo, $33,200,000$, and its land area, $6,993$ square kilometers. We...

DivisionPopulation DensityRounding
2025/4/21

The town council is installing bat boxes to control mosquitoes. 240 bats are needed per square mile....

Word ProblemMultiplicationDivisionUnits Conversion
2025/4/21

The problem asks to find the population density of a rural county. The population of the county is 1...

Population DensityDivisionReal-world Application
2025/4/21

The problem describes a rectangle made of 8 rods of length 12 cm each. The rectangle has 3 rods on t...

GeometryPerimeterPercentageWord Problems
2025/4/21

A physical education teacher trained with 5 students every day for 7 days. The average training time...

AverageWord ProblemCalculation
2025/4/21

The problem asks to express the repeating decimal $0.\overline{14}$ in the form $\frac{a}{b}$, where...

Repeating DecimalsFractionsRational Numbers
2025/4/21

The problem is to evaluate the expression $500 - (41438.7 - 98.7) \div 5.3 \cdot 0.04$.

Order of OperationsArithmetic ExpressionsDecimal Arithmetic
2025/4/21

The problem shows pie charts representing the medals won by two teams, Hamstead Harriers and Ebford ...

ProportionsPercentagesFractionsData AnalysisPie ChartsCalculations
2025/4/21