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Introduction to Fractions: math test solutions, Grade 3 – download the PDF

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Test solutions Grade 3 : Introduction to Fractions — Zyro the alien explorer of Planète Maths

Test solutions with the detailed point scale. Add up your points and spot what to review.

Suggested time: 45 minutes. Out of 20 points. Calculator allowed only when the problem says so.

1 Name the fractions / 4 pts

  1. \(\dfrac{5}{8}\) of the bar is colored. (1 pt)
  2. \(8 - 5 = 3\), so \(\dfrac{3}{8}\) is not colored. (1 pt)
  3. One part is \(\dfrac{1}{8}\). (1 pt)
  4. 8 parts make one whole, because \(\dfrac{8}{8} = 1\). (1 pt)

2 Number line / 3 pts

  1. M is 3 jumps of \(\dfrac{1}{4}\) from 0, so M is at \(\dfrac{3}{4}\). (1 pt)
  2. N is 5 jumps from 0, so N is at \(\dfrac{5}{4}\). (1 pt)
  3. N is greater. It is farther from 0 on the number line, and \(\dfrac{5}{4} > \dfrac{3}{4}\) since 5 > 3. (1 pt)

3 Equivalent fractions / 3 pts

  1. Cut each third into 2 parts: \(\dfrac{1}{3} = \dfrac{2}{6}\). (1 pt)
  2. Cut each fourth into 2 parts: \(\dfrac{3}{4} = \dfrac{6}{8}\). (1 pt)
  3. 2 wholes hold \(2 \times 4 = 8\) fourths, so \(2 = \dfrac{8}{4}\). (1 pt)

4 Comparing fractions / 4 pts

  1. Same denominator and \(3 < 5\), so \(\dfrac{3}{6} < \dfrac{5}{6}\). (1 pt)
  2. \(\dfrac{4}{4} = 1\) and \(\dfrac{4}{8}\) is less than 1. Same numerator, smaller denominator: \(\dfrac{4}{4} > \dfrac{4}{8}\). (1 pt)
  3. Same numerator and \(3 < 4\), so \(\dfrac{2}{3} > \dfrac{2}{4}\). (1 pt)
  4. All numerators are 5. The greater the denominator, the smaller the fraction, so \(\dfrac{5}{8} < \dfrac{5}{6} < \dfrac{5}{4} < \dfrac{5}{3}\). (1 pt)

5 Stickers / 3 pts

  1. \(18 \div 6 = 3\), so there are 3 gold stickers. (1 pt)
  2. \(5 \times 3 = 15\), so there are 15 silver stickers. (1 pt)
  3. \(18 \div 3 = 6\), so 6 stickers have animals. (1 pt)

6 The long ribbon / 3 pts

  1. One piece is \(\dfrac{1}{8}\) of the ribbon. \(32 \div 8 = 4\), so it is 4 inches long. (1 pt)
  2. Three pieces are \(\dfrac{3}{8}\) of the ribbon. (1 pt)
  3. \(3 \times 4 = 12\), so she uses 12 inches of ribbon. (1 pt)
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