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Common Core Standard 5.NF.A.2 Questions

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

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Grade 5 Mixed Numbers CCSS: 5.NF.A.2
Grade 5 Mixed Numbers CCSS: 5.NF.A.2
Andrea is [math]5 1/2[/math]feet tall. Ralene is [math]2/3[/math] foot taller than Andrea. How tall is Ralene?
  1. [math]5 1/3[/math] feet
  2. [math]5 3/5[/math] feet
  3. [math]6 1/6[/math] feet
  4. [math]6[/math] feet
Grade 5 Mixed Numbers CCSS: 5.NF.A.2
Last year it rained [math]2 1/2[/math] in. in April and [math]1 1/3[/math] in. in May. What is the total rainfall for the two months?
  1. [math]2 10/12[/math] in.
  2. [math]3 2/5[/math] in.
  3. [math]3 5/6[/math] in.
  4. [math]3 1/2[/math] in.
Grade 5 Fractions and Ratios CCSS: 5.NF.A.2, MP2, MP7
A bird watcher observes a bird flying at a height of [math]6/10[/math] kilometer. The bird dives down toward the ground then continues flying at a height [math]2/5[/math] kilometer below its original height.

The bird watcher states that the bird is now flying at a height of [math]4/5[/math] kilometer.

Which TWO statements are true?
  1. Since [math]6/10[/math] minus [math]2/5[/math] is [math]4/5[/math], the height is reasonable.
  2. Since [math]4/5[/math] is greater than [math]6/10[/math], the height is not reasonable.
  3. The fraction [math]2/5[/math] is [math]4/10[/math], and [math]4/10[/math] equals [math]4/5[/math], so the height is reasonable.
  4. The fraction [math]2/5[/math] is [math]4/10[/math], and [math]6/10[/math] minus [math]4/10[/math] does not equal [math]4/5[/math], so the height is not reasonable.
  5. The fraction [math]2/5[/math] is [math]4/10[/math], and [math]6/10[/math] plus [math]4/10[/math] is less than [math]4/5[/math], so the height is not reasonable.
Grade 5 Fractions and Ratios CCSS: 5.NF.A.2, MP4

This question is a part of a group with common instructions. View group »

Which expression can be used to find the sum of the fraction of students that take the bus and fraction of students that walk to school?
  1. [math]5/15 + 1/15[/math]
  2. [math]11/15 + 10/15[/math]
  3. [math]5/18 + 1/18[/math]
  4. [math]10/18 + 3/18[/math]
Grade 5 Fractions and Ratios CCSS: 5.NF.A.2
Grade 5 Fractions and Ratios CCSS: 5.NF.A.2, MP1

This question is a part of a group with common instructions. View group »

What fraction of the pea plants sprouted during the first and second weeks of Arden's project?
  1. [math]5/16[/math]
  2. [math]10/11[/math]
  3. [math]7/36[/math]
  4. [math]37/63[/math]
Grade 5 Mixed Numbers CCSS: 5.NF.A.2
In one year, Melinda grew [math]2 1/4[/math] inches to [math]48 3/8[/math] inches. What was her height at the beginning of the year?
  1. [math]50 5/8 [/math] inches
  2. [math]46 1/8[/math] inches
  3. [math]43 1/2[/math] inches
  4. [math]21 1/2[/math] inches
  5. [math]108 27/32[/math] inches
Grade 5 Fractions and Ratios CCSS: 5.NF.A.2
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