Operations with Decimals
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Operations with Decimals — Free MYP2 Mathematics Practice Questions

1QuestionAdding and Subtracting DecimalsConcept Practice
2 marks~3 minCriterion A
A rectangle has side lengths of 3.253.25 cm and 4.54.5 cm. The side opposite the 4.54.5 cm side is labelled ?? cm.
a
State the length of the side labelled ?? cm. [1]
b
A second rectangle has a perimeter of 15.515.5 cm and one side of 3.253.25 cm. Calculate the length of the other side. [1]
Question diagram

Solutions

2QuestionAdding and Subtracting DecimalsAssessment Practice
4 marks~6 minCriterion D
A student starts the week with 20.00 dollars. They deposit 12.50 dollars from a birthday gift, then spend 3.75 dollars on snacks and 5.20 dollars on a movie ticket. When they count their wallet, they find 23.00 dollars.
a
Calculate the student's expected balance using the transactions above. [1]
b
Identify the difference between the calculated balance and the actual cash amount. [1]
c
Explain two reasons why the calculated balance may differ from the actual cash in the wallet. [2]
Question diagram

Solutions

3QuestionAdding and Subtracting DecimalsConcept Practice
5 marks~8 minCriterion C
A student claims: "The sum of 0.50.5 and 0.230.23 is 0.280.28, because 5+3=85 + 3 = 8 and 0+2=20 + 2 = 2."
a
State the place value of the digit 55 in 0.500.50 and the digit 33 in 0.230.23. [1]
b
Calculate the correct sum of 0.50.5 and 0.230.23, showing your working by aligning the decimal points. [2]
c
Explain why the student's method is incorrect, referring to place value in your answer. [2]

Solutions

4QuestionAdding and Subtracting DecimalsAssessment Practice
5 marks~8 minCriterion B
Look at these four subtractions.

5.4−2.16.8−3.58.2−4.99.6−6.35.4 - 2.1 \qquad 6.8 - 3.5 \qquad 8.2 - 4.9 \qquad 9.6 - 6.3
a
Calculate each subtraction above. [2]
b
Identify one pattern you notice in your four answers and in the pairs of numbers. [1]
c
A student says: "12.4−9.112.4 - 9.1 must equal 3.33.3 without me calculating it." Compare this claim with your pattern from part (b) and explain whether the student is correct. [2]

Solutions

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