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Grade 6 Reasoning: Quantitative comparisons
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Ontario · Reasoning — compare two quantities without computing both fully
1.
Compare the two quantities. x is a whole number. Column A is x. Column B is 2.
2.
Compare the two quantities. Column A is 34. Column B is 45.
3.
Compare the two quantities. Column A is 34. Column B is 23.
4.
Compare the two quantities. x is a whole number. Column A is x. Column B is 3.
5.
Compare the two quantities. Column A is 45. Column B is 56.
6.
Compare the two quantities. x is a whole number. Column A is x. Column B is 4.
7.
Compare the two quantities. Column A is 56. Column B is 67.
8.
Compare the two quantities. x is a whole number. Column A is x. Column B is 5.
9.
Compare the two quantities. Column A is 67. Column B is 78.
10.
Compare the two quantities. x is a whole number. Column A is x. Column B is 6.
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Answer key
Grade 6 Reasoning: Quantitative comparisons
Ontario · Reasoning — compare two quantities without computing both fully
Question numbers match the worksheet.
1.D) The relationship cannot be determined.x can be any number, so the two columns cannot be compared.
2.B) The quantity in Column B is greater.34 is less than 45 because adding the same amount to the numerator and denominator moves the fraction toward 1.
3.A) The quantity in Column A is greater.34 = 0.75 and 23 ≈ 0.67, so Column A is greater.
4.D) The relationship cannot be determined.x can be any number, so the two columns cannot be compared.
5.B) The quantity in Column B is greater.45 is less than 56 because adding the same amount to the numerator and denominator moves the fraction toward 1.
6.D) The relationship cannot be determined.x can be any number, so the two columns cannot be compared.
7.B) The quantity in Column B is greater.56 is less than 67 because adding the same amount to the numerator and denominator moves the fraction toward 1.
8.D) The relationship cannot be determined.x can be any number, so the two columns cannot be compared.
9.B) The quantity in Column B is greater.67 is less than 78 because adding the same amount to the numerator and denominator moves the fraction toward 1.
10.D) The relationship cannot be determined.x can be any number, so the two columns cannot be compared.
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