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Positive and Negative Numbers Integers — Free MYP2 Mathematics Practice Questions
1QuestionAbsolute Value of an IntegerConcept Practice
2 marks~3 minCriterion A
The absolute value of a number is its distance from zero on the number line, always written as a positive value.
a
Identify the absolute value of . [1]
b
Explain what this value tells you about the position of on the number line. [1]
Solutions
2QuestionAbsolute Value of an IntegerAssessment Practice
4 marks~6 minCriterion C
A hiker leaves base camp, climbs m to a ridge, then descends m to a valley floor.
The hiker says: "My total vertical distance traveled is m, because I add the absolute value of each change."
The hiker says: "My total vertical distance traveled is m, because I add the absolute value of each change."
a
Calculate the hiker's total vertical distance traveled using absolute values. [2]
b
The hiker then climbs back up m to return to base camp. Explain why the absolute value model now underestimates the total vertical distance traveled, and state the correct total. [2]
Solutions
3QuestionOpposites and Zero on the Number LineAssessment Practice
6 marks~9 minCriterion B
The opposite of an integer is the number the same distance from zero on the other side of the number line. For example, the opposite of is .
A point starts at integer . It moves to its opposite, then moves to the opposite of that result.
A point starts at integer . It moves to its opposite, then moves to the opposite of that result.
a
State the opposite of . [1]
b
Starting at , show the two opposite moves on a number line and identify the final position. [3]
c
A different point follows the same two moves and ends at . Compare the starting position with the ending position and explain what this tells you about any integer after two opposite moves. [2]
Solutions
4QuestionComparing and Ordering IntegersAssessment Practice
8 marks~12 minCriterion D
A student's bank account shows these balances over three weeks:
Week 1: dollars
Week 2: dollars
Week 3: dollars
Each Monday the student receives a dollar allowance; each Friday a dollar subscription fee is charged.
Week 1: dollars
Week 2: dollars
Week 3: dollars
Each Monday the student receives a dollar allowance; each Friday a dollar subscription fee is charged.
a
State the three balances in order from least to greatest. [2]
b
Calculate the net change in balance from Week 1 to Week 3, and find the adjusted Week 3 balance after including the allowance and subscription fee. [3]
c
Explain one way the integer model gives an incomplete picture of the student's real financial situation. [3]
Solutions
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