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Olympiad (Class 5) Logic Puzzle — practice questions — page 2

Explore 52 free Logic Puzzle questions in Olympiad (Class 5) Reasoning. Open each question or exercise to read its content, reference answers and available explanation.

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Logic Puzzle questions and exercises with answers

Showing questions 31–52 of 52.

A 12 m rope is cut into pieces that are each 2 m long. How many cuts are needed?Read the answer and worked solution →A frog in a 5 m deep well climbs 3 m each day and slips back 2 m each night. On which day does it get out?Read the answer and worked solution →Boxes marked Apples, Oranges and Mixed are all mislabelled. An apple comes out of Mixed. What does it hold?Read the answer and worked solution →Three coins look alike but one is heavier. What is the fewest weighings on a balance needed to find it?Read the answer and worked solution →In a classic 9x9 sudoku, how many times does the digit 7 appear in each row?Read the answer and worked solution →How many 3x3 boxes make up a classic sudoku grid?Read the answer and worked solution →In a completed classic sudoku row, what do all nine digits add up to?Read the answer and worked solution →Eight cells of a sudoku row are filled and their digits add up to 40. Which digit is missing?Read the answer and worked solution →In which year did Dell Magazines first publish the modern sudoku puzzle under the name Number Place?Read the answer and worked solution →In the name sudoku, "su" means number. What does "doku" mean?Read the answer and worked solution →A 4x4 sudoku uses digits 1 to 4. One row reads 3, 1, blank, 2. Which digit fills the blank?Read the answer and worked solution →In a 4x4 sudoku with digits 1 to 4, a 2x2 box has 1 and 4 on top and 3 at bottom left. What is the bottom right?Read the answer and worked solution →A column of a 4x4 sudoku with digits 1 to 4 reads 4, 2, 3 from the top. What is the bottom cell?Read the answer and worked solution →In a 9x9 sudoku, a cell's row has 1, 2, 3, 4, its column has 5, 6, 7, and its box has 8. Which digit must go in it?Read the answer and worked solution →A mini sudoku grid with 4 rows and 4 columns is divided into boxes of which size?Read the answer and worked solution →A normal 3x3 magic square uses the numbers 1 to 9 once each. What is its magic constant?Read the answer and worked solution →In a 3x3 magic square with constant 15, a row reads 8, blank, 6. Which number fills the blank?Read the answer and worked solution →Which number sits in the centre of a normal 3x3 magic square made from 1 to 9?Read the answer and worked solution →Can 1, 2, 3 and 4 fill a 2x2 grid so all rows, columns and diagonals have equal sums?Read the answer and worked solution →One row of a magic square adds up to 15. What does each column add up to?Read the answer and worked solution →Magic squares date back to at least 190 BCE in which country?Read the answer and worked solution →In a magic square, which lines must all add up to the same sum?Read the answer and worked solution →

Worked practice questions

A 12 m rope is cut into pieces that are each 2 m long. How many cuts are needed?

  1. 6
  2. 4
  3. 12
  4. 5
Show answer and solution

Correct answer: D. 5

There are 6 pieces, and the last cut yields two pieces at once, so only 5 cuts are needed.

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A frog in a 5 m deep well climbs 3 m each day and slips back 2 m each night. On which day does it get out?

  1. Day 2
  2. Day 4
  3. Day 5
  4. Day 3
Show answer and solution

Correct answer: D. Day 3

It ends day 1 at 1 m and day 2 at 2 m, then climbs to 5 m on day 3 and is out before slipping.

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Boxes marked Apples, Oranges and Mixed are all mislabelled. An apple comes out of Mixed. What does it hold?

  1. Only apples
  2. It is empty
  3. Only oranges
  4. Mixed fruit
Show answer and solution

Correct answer: A. Only apples

The Mixed label is wrong, so the box holds one kind of fruit, and the apple shows it holds only apples.

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