Arrays (intro to multiplication) Transitional Reasoning Download PDF

Questions

1. 1.

   A community center is installing two decorative tile panels on a walkway. Panel A is arranged as an array with 4 equal rows of 7 green tiles. Panel B is arranged as an array with 6 equal rows of 5 blue tiles. Which panel contains more tiles, and how many more tiles does it contain?

   • A) Panel A contains 2 more tiles than Panel B because 4 rows of 7 equal 30 tiles and 6 rows of 5 equal 28 tiles.
   • B) Panel B contains 2 more tiles than Panel A because 6 rows of 5 equal 30 tiles and 4 rows of 7 equal 28 tiles.
   • C) Both panels contain the same number of tiles because 4 rows plus 7 tiles equal 11 and 6 rows plus 5 tiles equal 11.
   • D) Panel B contains 7 more tiles than Panel A because 6 rows of 5 equal 35 tiles and 4 rows of 7 equal 28 tiles.
2. 2.

   A baker places decorative cookies on a rectangular baking sheet in 3 equal rows with 8 cookies in each row. Before putting the sheet into the oven, the baker turns the sheet by a quarter turn so that the arrangement is viewed from the side. Which description and multiplication sentence correctly model the rotated array?

   • A) The rotated array has 3 rows with 8 cookies in each row, represented by $3 \times 8 = 24$.
   • B) The rotated array has 8 rows with 3 cookies in each row, represented by $8 \times 3 = 24$.
   • C) The rotated array has 4 rows with 6 cookies in each row, represented by $4 \times 6 = 24$.
   • D) The rotated array has 8 rows with 8 cookies in each row, represented by $8 \times 8 = 64$.
3. 3.

   A community center displays painted square tiles on a wall in a rectangular array made of 4 equal rows with 5 tiles in each row. An artist rearranges all of these tiles into a new array that has only 2 equal rows. How many tiles are in each row of the new array, and which multiplication sentence represents this new arrangement?

   • A) 10 tiles; $2 \times 10 = 20$
   • B) 8 tiles; $2 \times 8 = 16$
   • C) 12 tiles; $2 \times 12 = 24$
   • D) 5 tiles; $2 \times 5 = 10$
4. 4.

   A classroom greenhouse uses a rectangular planting tray arranged in 5 rows with 6 plant pots in each row. The students plant basil in the first 4 pots of each row and mint in the remaining 2 pots of each row. Which equation correctly models the total number of plant pots by breaking the array into two smaller parts?

   • A) $5 \times 6 = (4 \times 6) + (1 \times 6) = 24 + 6 = 30$
   • B) $5 \times 6 = (5 \times 4) + 2 = 20 + 2 = 22$
   • C) $5 \times 6 = (5 \times 4) + (5 \times 2) = 20 + 10 = 30$
   • D) $5 \times 6 = (4 \times 4) + (2 \times 2) = 16 + 4 = 20$
5. 5.

   Liam organizes mineral specimens into a display case with 3 equal rows and 8 compartments in each row. He expands the case by adding 1 compartment to the end of each row, placing a new specimen in each added space. Which multiplication sentence and total number of specimens describe the updated display case?

   • A) 4 × 8 = 32 specimens
   • B) 3 × 7 = 21 specimens
   • C) 3 + 9 = 12 specimens
   • D) 3 × 9 = 27 specimens