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Equivalent Fractions and Comparing: math test solutions, Grade 4 – download the PDF

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Test solutions Grade 4 : Equivalent Fractions and Comparing — 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 and simplify / 3 pts

  1. The bar has 12 equal parts, so one part is \(\dfrac{1}{12}\). (1 pt)
  2. 9 parts are shaded: \(\dfrac{9}{12}\). (1 pt)
  3. Divide by 3: \(\dfrac{9}{12}=\dfrac{3}{4}\). (1 pt)

2 Equivalent fractions / 4 pts

  1. \(5\times 2=10\), so the numerator is \(3\times 2=6\). (1 pt)
  2. \(6\times 2=12\), so the numerator is \(5\times 2=10\). (1 pt)
  3. \(8\div 4=2\), so the denominator is \(12\div 4=3\). (1 pt)
  4. \(30\div 10=3\), so the denominator is \(100\div 10=10\). (1 pt)

3 Simplest form / 3 pts

  1. Divide by 2: \(\dfrac{3}{5}\). (1 pt)
  2. Divide by 3: \(\dfrac{3}{4}\). (1 pt)
  3. Divide by 20: \(\dfrac{2}{5}\). (1 pt)

4 Compare / 4 pts

  1. \(\dfrac{2}{3}=\dfrac{4}{6}\) and \(5\gt 4\), so \(\dfrac{5}{6}\gt\dfrac{2}{3}\). (1 pt)
  2. \(\dfrac{1}{2}=\dfrac{4}{8}\) and \(3\lt 4\), so \(\dfrac{3}{8}\lt\dfrac{1}{2}\). (1 pt)
  3. \(\dfrac{3}{4}=\dfrac{9}{12}\) and \(7\lt 9\), so \(\dfrac{7}{12}\lt\dfrac{3}{4}\). (1 pt)
  4. Divide the top and bottom of \(\dfrac{4}{10}\) by 2 to get \(\dfrac{2}{5}\), so \(\dfrac{4}{10}=\dfrac{2}{5}\). (1 pt)

5 Number line / 3 pts

  1. P is \(\dfrac{1}{6}\), Q is \(\dfrac{3}{6}\), R is \(\dfrac{5}{6}\). (1.5 pts)
  2. \(\dfrac{3}{6}=\dfrac{1}{2}\). (0.5 pt)
  3. \(\dfrac{5}{6}=\dfrac{10}{12}\) and \(\dfrac{3}{4}=\dfrac{9}{12}\). Since \(10\gt 9\), R is greater than \(\dfrac{3}{4}\). (1 pt)

6 Word problem: bookmarks / 3 pts

  1. A common denominator is 12: blue \(=\dfrac{9}{12}\), red \(=\dfrac{8}{12}\), green \(=\dfrac{10}{12}\). (1 pt)
  2. Since \(8\lt 9\lt 10\): red, then blue, then green. That is \(\dfrac{2}{3}\lt\dfrac{3}{4}\lt\dfrac{5}{6}\). (1 pt)
  3. The green strip is the longest, at \(\dfrac{5}{6}\) foot. (1 pt)
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