SPACE ACADEMY · TRY, THINK, PLAY

Class 5: Number detectives

Translate representations, use place value and solve constrained number clues.

Try a quick challenge

Just a quick try. Not saved; no game rewards.

ExploreBuilding numbers

These digit cards arrived: 3, 0, 7, 4, 9. Use every card once to make the greatest 5-digit number.

30749
  1. 79430
  2. 30479
  3. 30749
  4. 97430
Need a hint?

Line up the cards from the biggest digit first, then fill in the rest.

Answer & method
Answer D: 97430

Sorted from biggest to smallest: 97430.

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ReasonPlace value

Clues: a multiple of 6; between 271984 and 272040; even; digit sum 12; thousands digit 2. Which of these numbers fits all the clues?

  1. 273010
  2. 722010
  3. 272001
  4. 272010
Need a hint?

Check each number against every clue, not only the first one.

Answer & method
Answer D: 272010

272010 fits every clue: a multiple of 6; between 271984 and 272040; even; digit sum 12; thousands digit 2.

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StretchFactors and multiples

Which of these has the smallest value?

  1. 5th multiple of 8
  2. HCF of 14 and 21
  3. Number of factors of 18
  4. LCM of 20 and 30
Need a hint?

Work out the value of each one first, then compare the four numbers.

Answer & method
Answer C: Number of factors of 18

5th multiple of 8 = 40; LCM of 20 and 30 = 60; HCF of 14 and 21 = 7; Number of factors of 18 = 6. The smallest is 6.

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For grown-ups

Ideas to practise

  • Building numbers. Combine the place-value parts, including any zero places.
  • Place value. A digit has a different value in each position. Count the places from the right.
  • Comparing quantities. Compare the values, not the size or spacing of their pictures.
  • Addition and missing amounts. Combine the amounts, or work backwards from the total.
  • Factors and multiples. Factors divide an amount exactly; multiples are repeated totals. Choose which idea the situation needs.

A game mission has 8 untimed questions. Only the game saves choices and hints. A finished mission earns one launch charge and participation towards the Command bridge in Galaxy Command. The chapter goal is 8 different questions in finished sets; hints and wrong answers count as participation, not mastery. Some craft systems link more than one chapter.

Choose a level

Explore

Foundations: read a representation and practise the underlying idea.

  • Build the greatest or smallest number from digit cards
  • Round a number using a number line
  • Read and use a place-value chart
  • Compare and order a set of large numbers
  • Convert and calculate with Roman numerals
  • Judge three statements about numbers
Play Explore

Reason

Paper-style reasoning: connect clues, interpret a diagram or work backwards.

  • Build the greatest or smallest number from digit cards
  • Convert and calculate with Roman numerals
  • Solve a multi-clue mystery number riddle
  • Read and use a place-value chart
  • Compare and order a set of large numbers
  • Judge three statements about numbers
  • Add and subtract numbers in the lakhs
  • Judge Statement I and Statement II
Play Reason

Stretch

Higher-order practice: link conditions, test statements and avoid a tempting wrong method.

  • Solve a multi-clue mystery number riddle
  • Convert and calculate with Roman numerals
  • Round a number using a number line
  • Compare and order a set of large numbers
  • Build the greatest or smallest number from digit cards
  • Judge three statements about numbers
  • Use HCF, LCM and prime factors together
  • Pick the greatest or smallest of four number facts
Play Stretch

Levels change representations, clues and conditions, not just the numbers. These are practice formats, not validated exam-equivalent difficulty.

Using the feedback

Learning reports distinguish hinted answers from independent first choices. They consider up to 20 recent different, unhinted questions per skill and level, and wait for at least five before suggesting extra practice. Repeating the same question does not add evidence. Reports are practice evidence, not IQ scores, diagnoses, ranks or predictions of competition results.

Ask the learner to explain a drawing or check with objects too. Choose Explore or an earlier chapter when a step feels too large.

Sources & limits

The grade topics use SOF IMO Class 5 published topic syllabus as their primary reference. The SOF sample and CREST previous-year paper below informed representations and reasoning demands. Providers have different topic boundaries; their syllabi are not interchangeable.

Questions, diagrams, picture choices, hints and explanations are original Otterly work, not copied paper questions or publisher artwork. No Olympiad provider is affiliated with or endorses Space Academy. This is not complete exam preparation; follow classroom teaching and check the current official syllabus too. Independent educator review is still needed for difficulty and breadth.

Content and coverage notes. To report a confusing question, describe the grade, chapter, level and question on the contact page. Do not send children’s personal information.

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Original Otterly practice, not an official exam. Game progress stays on this browser.