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Rounding Estimation and Approximation — Free MYP2 Mathematics Practice Questions
1QuestionEstimating Products and QuotientsConcept Practice
2 marks~3 minCriterion A
A rectangle has side lengths of 7.8 cm and 4.2 cm.
a
State the value of each side length rounded to the nearest whole number. [1]
b
Estimate the area of the rectangle by multiplying your rounded values. Give your answer in cm². [1]
Solutions
2QuestionEstimating Products and QuotientsAssessment Practice
3 marks~5 minCriterion B
The table shows four products and their estimates, found by rounding each factor to one significant figure.
Exact product
12
47
83
126
Estimated product
10
50
80
130
a
Identify which exact product has the largest difference from its estimated product. [1]
b
Calculate the percentage error for the pair (47, 50). [1]
c
Compare how close the estimated products are to the exact products as the values increase. [1]
Solutions
3QuestionEstimating Products and QuotientsAssessment Practice
5 marks~8 minCriterion D
A student plans a school bake sale and estimates the cost of 8 packets of chocolate chips, each priced at 19.90 dollars, by rounding to 20 dollars:
20×8=160 dollars
a
Calculate the actual total cost of 8 packets at 19.90 dollars each. [1]
b
The student's estimate gives an error of 0.80 dollars. Calculate the percentage error and explain whether the estimate is accurate enough for budget planning. [2]
c
Describe an alternative estimation strategy and compare it to the student's method, stating which gives a more useful result. [2]
Solutions
4QuestionRounding Whole NumbersAssessment Practice
6 marks~9 minCriterion C
Two students disagree about rounding 4789 to the nearest ten. Aisha says the answer is 4790. Ben says the answer is 4800.
a
Identify which student is correct. State the rounding rule for the nearest ten and use the ones digit of 4789 to support your answer. [2]
b
Draw a number line from 4780 to 4800, marking 4789 on it. Explain how the number line shows which multiple of ten 4789 is closest to. [2]
c
Compare rounding to the nearest ten with rounding to the nearest hundred. Explain which process gives 4800 and why Ben's answer uses the wrong process. [2]