Arithmetic

Arithmetic is the fundamental branch of mathematics dealing with numbers and the basic operations: addition, subtraction, multiplication, and division. Questions involve performing these operations, understanding number properties (like integers, fractions, decimals), and solving related word problems.

• Question

  All numbers from `45` to `65` are written on a board. How many times does the digit `5` appear?

  Topics:

  Number Theory Arithmetic
  Sources:
  • problems.ru web site

• Question

  What is the smallest six-digit number with all different digits?

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  Topics:

  Arithmetic Proof and Example -> Constructing an Example / Counterexample
  Sources:
  • problems.ru web site

• Question

  A vendor has two rolls of fabric, each `36` meters long. He sells the fabric in pieces of `3` meters. How many times will the vendor need to cut the fabric?

  Topics:

  Arithmetic Algebra -> Word Problems Logic -> Reasoning / Logic Number Theory -> Division
  Sources:
  • problems.ru web site

• Complete the sequence

  Complete the missing number:

  `2, 3, 5, 9, ?, 33`

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  Topics:

  Arithmetic Algebra -> Sequences -> Complete/Continue the Sequence

• Question

  Given two squares, each with a side length of `3` centimeters, and joined together to form a rectangle, what is the perimeter of the resulting rectangle?

  Topics:

  Arithmetic Geometry -> Plane Geometry Geometry -> Area Calculation Algebra -> Word Problems

• Question

  Samuel wants to tile a room measuring `3` by `4` meters using square tiles with a side length of `25` centimeters. How many tiles does Samuel need?

  Topics:

  Arithmetic Geometry -> Area Calculation Algebra -> Word Problems Units of Measurement

• Question

  Insert arithmetic operation symbols and parentheses so that the equality becomes correct:

  5    5    5  = 0

  Topics:

  Arithmetic Algebra -> Equations Puzzles and Rebuses

• Question

  Insert arithmetic operation symbols and parentheses to make the equation correct:

  5    5    5  = 2

  Topics:

  Arithmetic Puzzles and Rebuses

• Question

  Two workers pave two kilometers of road within two days. How many workers are needed to pave `20` kilometers of road within `20` days?

  Topics:

  Arithmetic Algebra -> Equations Algebra -> Word Problems Logic -> Reasoning / Logic Number Theory -> Division

• Question

  In Danny's class there are `30` students. Danny claims that the number of boys is greater by `3` than the number of girls. Is it possible that Danny is right?

  Topics:

  Arithmetic Algebra -> Equations Algebra -> Word Problems Logic -> Reasoning / Logic Number Theory -> Division -> Parity (Even/Odd)