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End-of-Term Numerical Reasoning Lab

A compact reasoning board built from signed numbers, proportional thinking, and small data sets.

Swipe the board sideways · 3 categories

End-of-Term Numerical Reasoning Lab
Signed Number MovesRatios and RatesData Detective
100Evaluate -8 + 13.100A recipe uses 2 cups of oats per batch. How many cups serve three batches?100For the ordered data set 4, 6, 6, 9, 10, identify the median.
200Arrange -4, 2, -1, and 0 from least to greatest.200Reduce the ratio 18:24 to simplest form.200Using 4, 6, 6, 9, 10, calculate the range.
300Find the distance between -6 and 3 on a number line.300Five notebooks cost $15 altogether. What is the unit price?300The three scores are 8, 10, and 12. What is their mean?
400What is the least nonnegative integer?400Over three hours, a car covers 180 kilometres at a constant rate. Calculate its speed.400A survey records 7 red choices, 11 blue choices, and 2 green choices. How many responses were recorded?
500Name the polygon defined by exactly three sides.500How many faces does a cube have?500Compare Set A: 5, 5, 5 with Set B: 3, 5, 7. Which set has the greater range?
600Classify an angle measuring less than 90 degrees.600Identify the quadrilateral with two pairs of parallel sides.600Which term means a testable explanation for an observation?
700What line segment runs from a circle's center to its edge?700In an experiment, what is the factor deliberately changed?
800How many centimeters make one meter?800What term names information collected during an investigation?
900What science skill gathers information with senses or tools?
1000Which result quality improves when a test is repeated?
1100What term compares distance on a map with distance in the real world?

Ages 10 to 13 · 25 of 25 clues written · final round · about 20 minutes

Open it in the maker

13 of 26 answers carry the sentence they were checked against · 13 make no factual claim

Play time assumes about 40 seconds a clue plus three minutes for the final round. Nothing is saved to a server and no account is needed. How answers are checked.

Player sheet

End-of-Term Numerical Reasoning Lab · Ages 10 to 13 · answers are on the host key

Signed Number Moves

  1. 100 Evaluate -8 + 13.
  2. 200 Arrange -4, 2, -1, and 0 from least to greatest.
  3. 300 Find the distance between -6 and 3 on a number line.
  4. 400 What is the least nonnegative integer?
  5. 500 Name the polygon defined by exactly three sides.
  6. 600 Classify an angle measuring less than 90 degrees.

Ratios and Rates

  1. 100 A recipe uses 2 cups of oats per batch. How many cups serve three batches?
  2. 200 Reduce the ratio 18:24 to simplest form.
  3. 300 Five notebooks cost $15 altogether. What is the unit price?
  4. 400 Over three hours, a car covers 180 kilometres at a constant rate. Calculate its speed.
  5. 500 How many faces does a cube have?
  6. 600 Identify the quadrilateral with two pairs of parallel sides.
  7. 700 What line segment runs from a circle's center to its edge?
  8. 800 How many centimeters make one meter?

Data Detective

  1. 100 For the ordered data set 4, 6, 6, 9, 10, identify the median.
  2. 200 Using 4, 6, 6, 9, 10, calculate the range.
  3. 300 The three scores are 8, 10, and 12. What is their mean?
  4. 400 A survey records 7 red choices, 11 blue choices, and 2 green choices. How many responses were recorded?
  5. 500 Compare Set A: 5, 5, 5 with Set B: 3, 5, 7. Which set has the greater range?
  6. 600 Which term means a testable explanation for an observation?
  7. 700 In an experiment, what is the factor deliberately changed?
  8. 800 What term names information collected during an investigation?
  9. 900 What science skill gathers information with senses or tools?
  10. 1000 Which result quality improves when a test is repeated?
  11. 1100 What term compares distance on a map with distance in the real world?

Final round: Percent Change

A price of $80 is reduced by 25 percent. What is the sale price?

Host key

End-of-Term Numerical Reasoning Lab · keep this sheet · it carries the answers

Signed Number Moves

  1. 100 Evaluate -8 + 13. Response: 5Self-contained calculation or data interpretation; no external factual claim is made.
  2. 200 Arrange -4, 2, -1, and 0 from least to greatest. Response: -4, -1, 0, 2Self-contained calculation or data interpretation; no external factual claim is made.
  3. 300 Find the distance between -6 and 3 on a number line. Response: 9Self-contained calculation or data interpretation; no external factual claim is made.
  4. 400 What is the least nonnegative integer? Response: 0Checked against: The number 0 is the smallest nonnegative integer, and the largest nonpositive integer.Source: https://en.wikipedia.org/w/index.php?title=0&oldid=1363928870
  5. 500 Name the polygon defined by exactly three sides. Response: A triangleChecked against: A triangle or trigon is a polygon consisting of three sides connected at three corners.Source: https://en.wikipedia.org/w/index.php?title=Triangle&oldid=1365649475
  6. 600 Classify an angle measuring less than 90 degrees. Response: An acute angleChecked against: An angle smaller than a right angle (less than 90°) is called an acute angle.Source: https://en.wikipedia.org/w/index.php?title=Angle&oldid=1356827812

Ratios and Rates

  1. 100 A recipe uses 2 cups of oats per batch. How many cups serve three batches? Response: 6 cupsSelf-contained calculation or data interpretation; no external factual claim is made.
  2. 200 Reduce the ratio 18:24 to simplest form. Response: 3:4Self-contained calculation or data interpretation; no external factual claim is made.
  3. 300 Five notebooks cost $15 altogether. What is the unit price? Response: $3 per notebookSelf-contained calculation or data interpretation; no external factual claim is made.
  4. 400 Over three hours, a car covers 180 kilometres at a constant rate. Calculate its speed. Response: 60 kilometres per hourSelf-contained calculation or data interpretation; no external factual claim is made.
  5. 500 How many faces does a cube have? Response: 6Checked against: A cube has 8 corners, 12 edges and 6 faces, as in the most usual kind of dice.Source: https://simple.wikipedia.org/w/index.php?title=Cube&oldid=9090456
  6. 600 Identify the quadrilateral with two pairs of parallel sides. Response: A parallelogramChecked against: In Euclidean geometry, a parallelogram is a chiral simple (non-self-intersecting) quadrilateral with two pairs of parallel sides.Source: https://en.wikipedia.org/w/index.php?title=Parallelogram&oldid=1358605082
  7. 700 What line segment runs from a circle's center to its edge? Response: A radiusChecked against: A radius is a line segment connecting a point on the circle and the center of the circle.Source: https://en.wikibooks.org/w/index.php?title=Geometry%2FChapter_7&oldid=4493592
  8. 800 How many centimeters make one meter? Response: 100Checked against: Equivalently, there are 100 centimetres in 1 metre.Source: https://en.wikipedia.org/w/index.php?title=Centimetre&oldid=1356186267

Data Detective

  1. 100 For the ordered data set 4, 6, 6, 9, 10, identify the median. Response: 6Self-contained calculation or data interpretation; no external factual claim is made.
  2. 200 Using 4, 6, 6, 9, 10, calculate the range. Response: 6Self-contained calculation or data interpretation; no external factual claim is made.
  3. 300 The three scores are 8, 10, and 12. What is their mean? Response: 10Self-contained calculation or data interpretation; no external factual claim is made.
  4. 400 A survey records 7 red choices, 11 blue choices, and 2 green choices. How many responses were recorded? Response: 20Self-contained calculation or data interpretation; no external factual claim is made.
  5. 500 Compare Set A: 5, 5, 5 with Set B: 3, 5, 7. Which set has the greater range? Response: Set BSelf-contained calculation or data interpretation; no external factual claim is made.
  6. 600 Which term means a testable explanation for an observation? Response: A hypothesisChecked against: A scientific hypothesis must be based on observations and make a testable and reproducible prediction about reality, in a process beginning with an educated guess.Source: https://en.wikipedia.org/w/index.php?title=Hypothesis&oldid=1351359517
  7. 700 In an experiment, what is the factor deliberately changed? Response: The independent variableChecked against: In an experiment, the variable manipulated by an experimenter is something that is proven to work, called an independent variable.Source: https://en.wikipedia.org/w/index.php?title=Dependent_and_independent_variables&oldid=1363470332
  8. 800 What term names information collected during an investigation? Response: DataChecked against: Data is a collection of facts, figures, objects, symbols and events gathered from different sources.Source: https://simple.wikipedia.org/w/index.php?title=Data&oldid=10870909
  9. 900 What science skill gathers information with senses or tools? Response: ObservationChecked against: Observation in the natural sciences refers to the active acquisition of information from a primary source.Source: https://en.wikipedia.org/w/index.php?title=Observation&oldid=1362239351
  10. 1000 Which result quality improves when a test is repeated? Response: ReliabilityChecked against: Test-retest reliability assesses the degree to which test scores are consistent from one test administration to the next.Source: https://en.wikipedia.org/w/index.php?title=Reliability_(statistics)&oldid=1360994568
  11. 1100 What term compares distance on a map with distance in the real world? Response: ScaleChecked against: The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground.Source: https://en.wikipedia.org/w/index.php?title=Scale_(map)&oldid=1364316802

Final round: Percent Change

A price of $80 is reduced by 25 percent. What is the sale price? Response: $60Self-contained calculation or data interpretation; no external factual claim is made.

Every clue, every answer, and what it was checked against

This is what prints on the host key.

Signed Number Moves

  1. Evaluate -8 + 13. 100

    5Self-contained calculation or data interpretation; no external factual claim is made.

  2. Arrange -4, 2, -1, and 0 from least to greatest. 200

    -4, -1, 0, 2Self-contained calculation or data interpretation; no external factual claim is made.

  3. Find the distance between -6 and 3 on a number line. 300

    9Self-contained calculation or data interpretation; no external factual claim is made.

  4. What is the least nonnegative integer? 400

    0Checked against: The number 0 is the smallest nonnegative integer, and the largest nonpositive integer.Source, pinned revision

  5. Name the polygon defined by exactly three sides. 500

    A triangleChecked against: A triangle or trigon is a polygon consisting of three sides connected at three corners.Source, pinned revision

  6. Classify an angle measuring less than 90 degrees. 600

    An acute angleChecked against: An angle smaller than a right angle (less than 90°) is called an acute angle.Source, pinned revision

Ratios and Rates

  1. A recipe uses 2 cups of oats per batch. How many cups serve three batches? 100

    6 cupsSelf-contained calculation or data interpretation; no external factual claim is made.

  2. Reduce the ratio 18:24 to simplest form. 200

    3:4Self-contained calculation or data interpretation; no external factual claim is made.

  3. Five notebooks cost $15 altogether. What is the unit price? 300

    $3 per notebookSelf-contained calculation or data interpretation; no external factual claim is made.

  4. Over three hours, a car covers 180 kilometres at a constant rate. Calculate its speed. 400

    60 kilometres per hourSelf-contained calculation or data interpretation; no external factual claim is made.

  5. How many faces does a cube have? 500

    6Checked against: A cube has 8 corners, 12 edges and 6 faces, as in the most usual kind of dice.Source, pinned revision

  6. Identify the quadrilateral with two pairs of parallel sides. 600

    A parallelogramChecked against: In Euclidean geometry, a parallelogram is a chiral simple (non-self-intersecting) quadrilateral with two pairs of parallel sides.Source, pinned revision

  7. What line segment runs from a circle's center to its edge? 700

    A radiusChecked against: A radius is a line segment connecting a point on the circle and the center of the circle.Source, pinned revision

  8. How many centimeters make one meter? 800

    100Checked against: Equivalently, there are 100 centimetres in 1 metre.Source, pinned revision

Data Detective

  1. For the ordered data set 4, 6, 6, 9, 10, identify the median. 100

    6Self-contained calculation or data interpretation; no external factual claim is made.

  2. Using 4, 6, 6, 9, 10, calculate the range. 200

    6Self-contained calculation or data interpretation; no external factual claim is made.

  3. The three scores are 8, 10, and 12. What is their mean? 300

    10Self-contained calculation or data interpretation; no external factual claim is made.

  4. A survey records 7 red choices, 11 blue choices, and 2 green choices. How many responses were recorded? 400

    20Self-contained calculation or data interpretation; no external factual claim is made.

  5. Compare Set A: 5, 5, 5 with Set B: 3, 5, 7. Which set has the greater range? 500

    Set BSelf-contained calculation or data interpretation; no external factual claim is made.

  6. Which term means a testable explanation for an observation? 600

    A hypothesisChecked against: A scientific hypothesis must be based on observations and make a testable and reproducible prediction about reality, in a process beginning with an educated guess.Source, pinned revision

  7. In an experiment, what is the factor deliberately changed? 700

    The independent variableChecked against: In an experiment, the variable manipulated by an experimenter is something that is proven to work, called an independent variable.Source, pinned revision

  8. What term names information collected during an investigation? 800

    DataChecked against: Data is a collection of facts, figures, objects, symbols and events gathered from different sources.Source, pinned revision

  9. What science skill gathers information with senses or tools? 900

    ObservationChecked against: Observation in the natural sciences refers to the active acquisition of information from a primary source.Source, pinned revision

  10. Which result quality improves when a test is repeated? 1000

    ReliabilityChecked against: Test-retest reliability assesses the degree to which test scores are consistent from one test administration to the next.Source, pinned revision

  11. What term compares distance on a map with distance in the real world? 1100

    ScaleChecked against: The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground.Source, pinned revision

Final round

  1. A price of $80 is reduced by 25 percent. What is the sale price?

    $60Self-contained calculation or data interpretation; no external factual claim is made.

Other finished boards

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