MultiplicationGrade 2Drill

Grade 2 Arrays and Equal Addends

Rectangular arrays and equal addends in grade 2 — count the rows, then add them. Sixteen problems on a free printable PDF with the answer key.

CCSSAligned to Common Core 2.OA.4: Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and 5 columns; write an equation as a sum of equal addends.

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

Preview — Set A

Find the total in each array by adding the equal rows.

  1. 1.
    An array has 2 rows of 2. How many in all? 2 + 2 =
  2. 2.
    An array has 2 rows of 3. How many in all? 3 + 3 =
  3. 3.
    An array has 2 rows of 4. How many in all? 4 + 4 =
  4. 4.
    An array has 2 rows of 5. How many in all? 5 + 5 =
  5. 5.
    An array has 3 rows of 2. How many in all? 2 + 2 + 2 =
  6. 6.
    An array has 3 rows of 3. How many in all? 3 + 3 + 3 =
  7. 7.
    An array has 3 rows of 4. How many in all? 4 + 4 + 4 =
  8. 8.
    An array has 3 rows of 5. How many in all? 5 + 5 + 5 =
  9. 9.
    An array has 4 rows of 2. How many in all? 2 + 2 + 2 + 2 =
  10. 10.
    An array has 4 rows of 3. How many in all? 3 + 3 + 3 + 3 =
  11. 11.
    An array has 4 rows of 4. How many in all? 4 + 4 + 4 + 4 =
  12. 12.
    An array has 4 rows of 5. How many in all? 5 + 5 + 5 + 5 =
  13. 13.
    An array has 5 rows of 2. How many in all? 2 + 2 + 2 + 2 + 2 =
  14. 14.
    An array has 5 rows of 3. How many in all? 3 + 3 + 3 + 3 + 3 =
  15. 15.
    An array has 5 rows of 4. How many in all? 4 + 4 + 4 + 4 + 4 =
  16. 16.
    An array has 5 rows of 5. How many in all? 5 + 5 + 5 + 5 + 5 =

What this worksheet covers

Sixteen multiplication problems fill this drill page; problem 6 asks "An array has 3 rows of 3. How many in all? 3 + 3 + 3", and the sheet stays at that level throughout. Within that, the quantities stay small, which keeps the idea in the foreground rather than the size of the numbers. Further down, problem 11 asks "An array has 4 rows of 4. How many in all? 4 + 4 + 4 + 4". The sheet sits inside Common Core 2.OA.4, in the grade 2 Operations & Algebraic Thinking strand.

Skills practised

The grade 2 multiplication sequence covers equal groups, arrays as repeated addition, and skip counting by 2s, 5s and 10s; this page sits inside it. Specifically, the problems practise grade 2 Arrays and Equal Addends. To finish it, a student has to recall the multiplication facts quickly and accurately, without counting up to them. Ten different answers appear across the sixteen problems, so a student cannot copy one result down the page.

About the drill format

This drill runs 16 problems in a steady layout, so the eye never has to hunt for the next one; problem 6, "An array has 3 rows of 3. How many in all? 3 + 3 + 3" shows the level it holds. Thirty untimed products let a student practise the algorithm while accuracy, not speed, is the target.

Set A, Set B and Set C

Set A is the original MathSheetLab worksheet; Sets B and C keep its structure and redraw the numbers, with each answer recomputed rather than copied. Where Set A's problem 9 is "An array has 4 rows of 2. How many in all? 2 + 2 + 2 + 2", Set B's is "An array has 3 rows of 5. How many in all? 5 + 5 + 5".

How to use this worksheet

Five focused minutes beats twenty distracted ones at grade 2. Fold this drill in half, do one part of the sixteen problems today and the rest tomorrow, and let the student use fingers or counters if they want them. Ask the student to re-work one missed multiplication problem from scratch on Set B rather than correcting it in place; the second attempt shows whether the method changed.

One mistake to watch for

Arrays are counted one square at a time. Problem 11 on this grade 2 drill page, "An array has 4 rows of 4. How many in all? 4 + 4 + 4 + 4", is where to look for it.

Rows have not yet been seen as equal groups that can be added.

Write the repeated-addition sentence beneath each array and read it before counting.

The full guide to teaching multiplicationTeaching multiplication from equal groups to integer exponents: the grade 2–8 progression, times-table strategies, and the errors that stall students.

Other grade 2 multiplication formats

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

  • Timed DrillGrade 2 Multiplication Timed Drill, 60 problems
  • Missing NumberGrade 2 Multiplication Missing Number, 24 problems
  • Mixed Review2.OA.4 — Rectangular Arrays & Equal Addends Practice, 22 problems
  • Word ProblemsGrade 2 Multiplication Word Problems, 8 problems
  • Vertical FormatGrade 2 Multiplication Vertical Format, 20 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.

Drill sheets in other grade 2 topics

Six PDFs, no sign-up: three versions of this grade 2 multiplication drill and three answer keys, each sixteen problems long.

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