FractionsGrade 2Mixed Review

Grade 2 Fractions Mixed Review

Grade 2 fractions mixed review sheet: 24 problems on naming halves, thirds and fourths, half and a quarter of a set, which fraction is bigger, how many equal parts, parts that make a whole.

CCSSAligned to Common Core 2.G.3

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Three different problem sets — same skill, same layout, fresh numbers.

Preview — Set A

Solve each problem. Read carefully — the problems change shape as you go.

  1. 1.
    A whole is cut into halves. How many equal parts are there?
  2. 2.
    1/2 of 10 =
  3. 3.
    1/3 + ___/3 = 1
  4. 4.
    Which is the bigger piece, 1/4 or 1/3?
  5. 5.
    A chocolate bar is cut into 3 equal parts and 2 parts are shaded. What fraction is shaded?
  6. 6.
    A whole is cut into fourths. How many equal parts are there?
  7. 7.
    1/2 of 18 =
  8. 8.
    2/3 + ___/3 = 1
  9. 9.
    Which is the bigger piece, 1/3 or 1/4?
  10. 10.
    A square is cut into 2 equal parts and 1 part is shaded. What fraction is shaded?
  11. 11.
    A whole is cut into thirds. How many equal parts are there?
  12. 12.
    1/2 of 8 =
  13. 13.
    1/4 + ___/4 = 1
  14. 14.
    Which is the bigger piece, 1/3 or 1/2?
  15. 15.
    A square is cut into 4 equal parts and 3 parts are shaded. What fraction is shaded?
  16. 16.
    1/4 of 4 =
  17. 17.
    1/2 of 20 =
  18. 18.
    1/2 + ___/2 = 1
  19. 19.
    Which is the bigger piece, 1/4 or 1/2?
  20. 20.
    A square is cut into 3 equal parts and 2 parts are shaded. What fraction is shaded?
  21. 21.
    1/4 of 16 =
  22. 22.
    1/4 of 12 =
  23. 23.
    2/4 + ___/4 = 1
  24. 24.
    Which is the bigger piece, 1/2 or 1/4?

What this worksheet covers

24 fractions problems fill this mixed review page; problem 9 asks "Which is the bigger piece, 1/3 or 1/4?", and the sheet stays at that level throughout. What makes this set particular: every problem is set in a short situation, so the first decision is which operation it calls for and several problems use mixed numbers, which have to be handled without dropping the whole-number part. Further down, problem 17 asks "1/2 of 20". The skill maps to Common Core 2.G.3.

Skills practised

The grade 2 fractions sequence covers naming halves, thirds and fourths of a shape, and half or a quarter of a set; this page sits inside it. The skills on the page: naming halves, thirds and fourths, half and a quarter of a set, and which fraction is bigger. Working the page asks a student to read a situation and choose an operation before computing, work in fractional units and give the answer in lowest terms, and reason backwards from a result to a missing part. Eleven different answers appear across the 24 problems, so a student cannot copy one result down the page.

About the mixed review format

The 24 problems are deliberately assorted — problem 9, "Which is the bigger piece, 1/3 or 1/4?" is followed by something of another shape — so the student has to read each one rather than run the last method again. Comparison, equivalence and computation on one page stops the sheet from being a single procedure repeated.

Set A, Set B and Set C

The three sets come from the same generator with three different seeds: same skill, same layout, fresh numbers, and an answer key computed with the problems. Where Set A's problem 13 is "1/4 + ___/4 = 1", Set B's is "1/4 of 8".

How to use this worksheet

Grade 2 attention runs short, so split these 24 fractions problems over two or three sittings rather than pushing through in one; a number line or counters within reach is a strategy, not a failure. If more than a third of the 24 problems come back wrong, stop and step back a grade in fractions rather than assigning Set B.

One mistake to watch for

A larger denominator is taken to mean a larger fraction: 1/8 is judged bigger than 1/4. Problem 17 on this grade 2 mixed review page, "1/2 of 20", is where to look for it.

Whole-number thinking — eight is more than four — is being applied to the size of the pieces.

Fold a strip into fourths and another into eighths and compare one piece of each; more pieces means smaller pieces.

The full guide to teaching fractionsTeaching fractions from equal shares to rational numbers: the grade 1–8 progression, why the number line matters, and the misconceptions that persist for years.

Other grade 2 fractions formats

The same skill in the other formats available at this grade.

  • DrillGrade 1 Halves and Fourths, 12 problems
  • Timed DrillGrade 2 Fractions Timed Drill, 60 problems
  • Missing NumberGrade 2 Fractions Missing Number, 24 problems
  • Word ProblemsGrade 2 Halves, Thirds, and Fourths, 14 problems

A step either side

The same format one grade down and one grade up — the easier sheet is often the faster fix when this one is not landing.

Mixed Review sheets in other grade 2 topics

Six PDFs, no sign-up: three versions of this grade 2 fractions mixed review and three answer keys, each 24 problems long.

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