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Place Value and Number Representation — Free MYP3 Mathematics Practice Questions
1QuestionDecimal Place Value and PrecisionConcept Practice
2 marks~3 minCriterion A
A rectangle has side lengths of cm and cm.
a
State the number of decimal places in each measurement. [1]
b
Compare the precision of the two measurements and explain which is more precise. [1]
Solutions
2QuestionReading and Writing Numbers in WordsAssessment Practice
5 marks~8 minCriterion C
A city council publishes its annual budget as "three million, four hundred fifty-two thousand, seven hundred dollars." The actual spreadsheet records the amount as 3,452,070 dollars.
a
Identify the discrepancy between the word-form amount and the spreadsheet amount. State the difference in dollars. [1]
b
Explain one reason why writing large numbers in words increases the risk of errors in financial documents. [2]
c
A council member suggests replacing all word-form amounts in the public budget report with numerals. Analyse whether this change would improve accuracy and transparency in government budget reporting. [2]
Solutions
3QuestionExpanded and Standard FormsConcept Practice
3 marks~5 minCriterion B
The bar graph below shows the value of the digit 3 in four place value positions.
| Place value | ones | tens | hundreds | thousands |
|---|---|---|---|---|
| Value of digit 3 |
a
Describe the pattern shown in the graph between place value position and the value of the digit 3. [1]
b
Explain why the value of a digit changes as it moves from one place value position to the next. [1]
c
Using the pattern from the graph, calculate the value of the digit 3 in the ten-thousands place. [1]
Solutions
4QuestionComparing and Ordering DecimalsAssessment Practice
8 marks~12 minCriterion D
A nutritionist compares the sugar content per serving of four cereal brands:
Brand A: g
Brand B: g
Brand C: g
Brand D: g
Brand A: g
Brand B: g
Brand C: g
Brand D: g
a
Order the four brands from lowest to highest sugar content and identify which brand has the least sugar. [2]
b
The actual sugar content of Brand A is g, rounded to g. Explain how this rounding affects a comparison between Brand A and Brand D, which also shows g. [2]
c
A consumer uses only the rounded values above to decide which cereal is healthiest. Analyse two limitations of this approach. [4]
Solutions
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