Unknown Factors

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Unknown Factors · Grade 3 · Worksheet 2

1. Liam is organizing his baseball card collection into albums. He has 72 cards total and wants to put the same number of cards in each of his 8 albums. How many cards should Liam put in each album? Answer: 9 Solution: Liam has 72 cards total and 8 albums To find how many cards go in each album, divide the total cards by the number of albums 72 ÷ 8 = 9 Check: 8 albums × 9 cards each = 72 cards total The answer is 9.
   Full step-by-step solution

   Step 1: Liam has 72 cards total and 8 albums Step 2: To find how many cards go in each album, divide the total cards by the number of albums Step 3: 72 ÷ 8 = 9 Step 4: Check: 8 albums × 9 cards each = 72 cards total The answer is 9.

2. Liam is organizing his baseball card collection into albums. Each album page holds 9 cards. If Liam has 72 cards total and wants to fill complete pages, how many pages will he need? Answer: 8 Solution: Identify what we know - total cards = 72, cards per page = 9 Set up the division problem: 72 ÷ 9 Think: How many groups of 9 are in 72?
   Full step-by-step solution

   Step 1: Identify what we know - total cards = 72, cards per page = 9 Step 2: Set up the division problem: 72 ÷ 9 Step 3: Think: How many groups of 9 are in 72? Step 4: 9 × 8 = 72 Step 5: Since 9 × 8 = 72, then 72 ÷ 9 = 8 Step 6: Liam will need 8 pages to hold all 72 cards.

3. Eva is packing granola bars for a hiking trip. Each bag gets 8 granola bars. Eva has 40 granola bars in total. How many bags can Eva fill completely? Answer: 5 Solution: Each bag gets 8 granola bars and there are 40 total. Step 2: Divide the total by the number per bag: 40 ÷ 8 = 5. Step 3: Eva can fill 5 bags completely.
   Full step-by-step solution

   Step 1: Each bag gets 8 granola bars and there are 40 total. Step 2: Divide the total by the number per bag: 40 ÷ 8 = 5. Step 3: Eva can fill 5 bags completely.

4. ? × 7 = 42 Answer: 6 Solution: The equation is ? × 7 = 42 To find the missing factor, divide the product (42) by the known factor (7) 42 ÷ 7 = 6 Check: 6 × 7 = 42 ✓ The answer is 6.
   Full step-by-step solution

   Step 1: The equation is ? × 7 = 42 Step 2: To find the missing factor, divide the product (42) by the known factor (7) Step 3: 42 ÷ 7 = 6 Step 4: Check: 6 × 7 = 42 ✓ The answer is 6.

5. ? × 9 = 81 Answer: 9 Solution: The equation is ? × 9 = 81 To find the missing factor, divide 81 by 9 81 ÷ 9 = 9 Check: 9 × 9 = 81 The answer is 9.
   Full step-by-step solution

   Step 1: The equation is ? × 9 = 81 Step 2: To find the missing factor, divide 81 by 9 Step 3: 81 ÷ 9 = 9 Step 4: Check: 9 × 9 = 81 The answer is 9.

6. A rectangular garden has a length of 24 meters and a width of 18 meters. What is the total distance around the entire garden? Answer: 84 Solution: The perimeter of a rectangle is calculated by adding all four sides Perimeter = length + width + length + width Perimeter = 24 + 18 + 24 + 18 First add 24 + 18 = 42 Then add 42 + 24 = 66 Then add 66 + 18 = 84 The total distance around the garden is 84 meters
   Full step-by-step solution

   Step 1: The perimeter of a rectangle is calculated by adding all four sides Step 2: Perimeter = length + width + length + width Step 3: Perimeter = 24 + 18 + 24 + 18 Step 4: First add 24 + 18 = 42 Step 5: Then add 42 + 24 = 66 Step 6: Then add 66 + 18 = 84 Step 7: The total distance around the garden is 84 meters

7. ? × 8 = 96 Answer: 12 Solution: The equation is ? × 8 = 96 To find the missing factor, divide 96 by 8 96 ÷ 8 = 12 Check: 12 × 8 = 96 ✓ The missing factor is 12.
   Full step-by-step solution

   Step 1: The equation is ? × 8 = 96 Step 2: To find the missing factor, divide 96 by 8 Step 3: 96 ÷ 8 = 12 Step 4: Check: 12 × 8 = 96 ✓ The missing factor is 12.