End-of-Term Numerical Reasoning Lab

Signed Number Moves

1. 100 Evaluate -8 + 13. Response: 5 Worked out from the numbers in the clue.
2. 200 Arrange -4, 2, -1, and 0 from least to greatest. Response: -4, -1, 0, 2 Worked out from the numbers in the clue.
3. 300 Find the distance between -6 and 3 on a number line. Response: 9 Worked out from the numbers in the clue.
4. 400 What is the least nonnegative integer? Response: 0 The number 0 is the smallest nonnegative integer, and the largest nonpositive integer. Source: Wikipedia, “0”
5. 500 Name the polygon defined by exactly three sides. Response: A triangle A triangle or trigon is a polygon consisting of three sides connected at three corners. Source: Wikipedia, “Triangle”
6. 600 Classify an angle measuring less than 90 degrees. Response: An acute angle An angle smaller than a right angle (less than 90°) is called an acute angle. Source: Wikipedia, “Angle”

Ratios and Rates

1. 100 A recipe uses 2 cups of oats per batch. How many cups serve three batches? Response: 6 cups Worked out from the numbers in the clue.
2. 200 Reduce the ratio 18:24 to simplest form. Response: 3:4 Worked out from the numbers in the clue.
3. 300 Five notebooks cost $15 altogether. What is the unit price? Response: $3 per notebook Worked out from the numbers in the clue.
4. 400 Over three hours, a car covers 180 kilometres at a constant rate. Calculate its speed. Response: 60 kilometres per hour Worked out from the numbers in the clue.
5. 500 How many faces does a cube have? Response: 6 A cube has 8 corners, 12 edges and 6 faces, as in the most usual kind of dice. Source: Simple English Wikipedia, “Cube”
6. 600 Identify the quadrilateral with two pairs of parallel sides. Response: A parallelogram In Euclidean geometry, a parallelogram is a chiral simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. Source: Wikipedia, “Parallelogram”
7. 700 What line segment runs from a circle's center to its edge? Response: A radius A radius is a line segment connecting a point on the circle and the center of the circle. Source: Wikibooks, “Geometry/Chapter 7”
8. 800 How many centimeters make one meter? Response: 100 Equivalently, there are 100 centimetres in 1 metre. Source: Wikipedia, “Centimetre”

Data Detective

1. 100 For the ordered data set 4, 6, 6, 9, 10, identify the median. Response: 6 Worked out from the numbers in the clue.
2. 200 Using 4, 6, 6, 9, 10, calculate the range. Response: 6 Worked out from the numbers in the clue.
3. 300 The three scores are 8, 10, and 12. What is their mean? Response: 10 Worked out from the numbers in the clue.
4. 400 A survey records 7 red choices, 11 blue choices, and 2 green choices. How many responses were recorded? Response: 20 Worked out from the numbers in the clue.
5. 500 Compare Set A: 5, 5, 5 with Set B: 3, 5, 7. Which set has the greater range? Response: Set B Worked out from the numbers in the clue.
6. 600 Which term means a testable explanation for an observation? Response: A hypothesis 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: Wikipedia, “Hypothesis”
7. 700 In an experiment, what is the factor deliberately changed? Response: The independent variable In an experiment, the variable manipulated by an experimenter is something that is proven to work, called an independent variable. Source: Wikipedia, “Dependent and independent variables”
8. 800 What term names information collected during an investigation? Response: Data Data is a collection of facts, figures, objects, symbols and events gathered from different sources. Source: Simple English Wikipedia, “Data”
9. 900 What science skill gathers information with senses or tools? Response: Observation Observation in the natural sciences refers to the active acquisition of information from a primary source. Source: Wikipedia, “Observation”
10. 1000 Which result quality improves when a test is repeated? Response: Reliability Test-retest reliability assesses the degree to which test scores are consistent from one test administration to the next. Source: Wikipedia, “Reliability (statistics)”
11. 1100 What term compares distance on a map with distance in the real world? Response: Scale The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground. Source: Wikipedia, “Scale (map)”

Final round: Percent Change

A price of $80 is reduced by 25 percent. What is the sale price? Response: $60 Worked out from the numbers in the clue.