Non-Standard Units

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Answer Key & Explanations

Non-Standard Units · Grade 1 · Worksheet 2

1. Liam is measuring his desk using toy cars. He lines up 8 toy cars along the length of the desk. Then he measures his bookshelf with the same toy cars and finds it is 12 toy cars long. How much longer is the bookshelf than the desk? Answer: 4 Solution: Understand what is given. The desk is 8 toy cars long. The bookshelf is 12 toy cars long.
   Full step-by-step solution

   Step 1: Understand what is given. The desk is 8 toy cars long. The bookshelf is 12 toy cars long. Step 2: Determine what is being asked. We need to find how much longer the bookshelf is than the desk. Step 3: Subtract the desk length from the bookshelf length. Bookshelf length − Desk length = 12 − 8 Step 4: Perform the subtraction. 12 − 8 = 4 Step 5: Interpret the result. The bookshelf is 4 toy cars longer than the desk. Final answer: 4

2. Lily is measuring her desk using paper clips. She lays 8 paper clips end to end along the length of the desk. Then she measures the same desk using crayons and finds it is 6 crayons long. How many paper clips long is the desk? Answer: 8 Solution: 1. The problem says Lily measures the desk using paper clips and finds it is 8 paper clips long. 2.
   Full step-by-step solution

   Let's go step by step. 1. The problem says Lily measures the desk using paper clips and finds it is 8 paper clips long. So, the length of the desk in paper clips = 8. 2. Then she measures the same desk using crayons and finds it is 6 crayons long. This means the desk length is also 6 crayons. 3. The question asks: "How many paper clips long is the desk?" This is directly given in the first measurement: 8 paper clips. 4. There is no need to convert between crayons and paper clips because the question is not asking for a conversion; it is asking for the paper clip measurement already provided. Therefore, the desk is 8 paper clips long.

3. A ribbon is 9 buttons long. Another ribbon is 7 buttons long. How many buttons long are both ribbons together? Answer: 16 Solution: The first ribbon is 9 buttons long The second ribbon is 7 buttons long Add them together: 9 + 7 9 + 7 = 16 The answer is 16.
   Full step-by-step solution

   Step 1: The first ribbon is 9 buttons long Step 2: The second ribbon is 7 buttons long Step 3: Add them together: 9 + 7 Step 4: 9 + 7 = 16 The answer is 16.

4. Sophia is measuring the length of her toy train track using her new crayons. She lines up crayons end to end along the track and counts 16 crayons. How many crayons long is Sophia's toy train track? Answer: 16 Solution: Sophia lines up crayons from one end of the toy train track to the other end. She counts the number of crayons she used. She counts 16 crayons.
   Full step-by-step solution

   Step 1: Sophia lines up crayons from one end of the toy train track to the other end. Step 2: She counts the number of crayons she used. She counts 16 crayons. Step 3: The number of crayons equals the length of the track in crayon units. Step 4: So, the toy train track is 16 crayons long. The answer is 16.

5. Matiu is measuring the length of his toy train track using his shoes. He places his shoes end to end along the track and counts 14 shoes. How many shoes long is the toy train track? Answer: 14 Solution: Matiu places his shoes end to end along the toy train track. He counts the shoes he used. He counts 14 shoes.
   Full step-by-step solution

   Step 1: Matiu places his shoes end to end along the toy train track. Step 2: He counts the shoes he used. He counts 14 shoes. Step 3: The number of shoes is the length of the track in shoe-units. Step 4: Therefore, the toy train track is 14 shoes long. The answer is 14.

6. Isabella is measuring the length of her garden path using her footsteps. She walks heel-to-toe from one end of the path to the other and counts 11 footsteps. How many footsteps long is Isabella's garden path? Answer: 11 Solution: Isabella walks from one end of the garden path to the other, placing one foot directly in front of the other (heel-to-toe). She counts the number of footsteps she takes to cover the entire length. She counts 11 footsteps.
   Full step-by-step solution

   Step 1: Isabella walks from one end of the garden path to the other, placing one foot directly in front of the other (heel-to-toe). Step 2: She counts the number of footsteps she takes to cover the entire length. Step 3: She counts 11 footsteps. Step 4: The number of footsteps equals the length of the path in those units. Therefore, the garden path is 11 footsteps long. The answer is 11.

7. The classroom door is 22 paper clips long. How many paper clips long is it? Answer: 22 Solution: Read the problem carefully: 'The classroom door is 22 paper clips long.' This means when we measured the door using paper clips placed end to end, it took 22 paper clips to match the door's length.
   Full step-by-step solution

   Step 1: Read the problem carefully: 'The classroom door is 22 paper clips long.' Step 2: This means when we measured the door using paper clips placed end to end, it took 22 paper clips to match the door's length. Step 3: Therefore, the classroom door is 22 paper clips long. The answer is 22.

8. A row of 8 crayons is measured using paper clips. Each paper clip is the same length as 2 crayons. How many paper clips long is the row of crayons? Answer: 4 Solution: We have 8 crayons in a row. We are told: *Each paper clip is the same length as 2 crayons.* We need to find: How many paper clips long is the row of crayons?
   Full step-by-step solution

   Let's go step by step. --- **Step 1: Understand the problem** We have 8 crayons in a row. We are told: *Each paper clip is the same length as 2 crayons.* We need to find: How many paper clips long is the row of crayons? --- **Step 2: Relate crayons to paper clips** If 1 paper clip = 2 crayons in length, then the length of 1 crayon = 1/2 of a paper clip. --- **Step 3: Find total length in paper clips** We have 8 crayons. Total length in paper clips = (Number of crayons) × (Length of 1 crayon in paper clips) = 8 × (1/2) = 8/2 = 4 paper clips. --- **Step 4: Check reasoning with another approach** We can also think: If 1 paper clip = 2 crayons, then 2 crayons = 1 paper clip. So 8 crayons = 8 ÷ 2 = 4 paper clips. --- **Step 5: Final answer** The row of 8 crayons is **4 paper clips** long.

9. Lily is measuring her desk using paper clips. She lines up paper clips end to end and finds that her desk is 8 paper clips long. Then she measures the same desk using crayons and finds it is 6 crayons long. How many more paper clips than crayons did Lily use to measure her desk? Answer: 2 Solution: Lily measured the desk with two different objects: paper clips and crayons. The desk is 8 paper clips long. The desk is 6 crayons long.
   Full step-by-step solution

   Step 1: Understand the problem. Lily measured the desk with two different objects: paper clips and crayons. The desk is 8 paper clips long. The desk is 6 crayons long. We need to find how many more paper clips than crayons she used. Step 2: Compare the two measurements. Number of paper clips used = 8 Number of crayons used = 6 Step 3: Find the difference. Difference = Paper clips − Crayons Difference = 8 − 6 Step 4: Calculate. 8 − 6 = 2 Step 5: Interpret the result. Lily used 2 more paper clips than crayons to measure the same desk. Final answer: 2