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Fact Families

Grade 1 · Mathematics · Worksheet 2

  1. If 5 + 4 = 9, what is 9 - 4 = ? Answer: ______________
  2. If 9 + 1 = 10, what is 10 - 1 = ? Answer: ______________
  3. Max has 6 red crayons and 1 blue crayons. How many crayons does Max have in all? Answer: ______________
  4. A triangle has 3 sides. The first side is 6 units long, the second side is 4 units long, and the third side is 5 units long. What is the total length around the triangle? Answer: ______________
  5. Anna has 2 cookies. Anna gives 2 cookies to a friend. How many cookies does Anna have left? Answer: ______________
  6. Ben has 8 cookies. Ben gives 6 cookies to a friend. How many cookies does Ben have left? Answer: ______________
  7. Look at this pattern of circles: ○ ○ ○ | ○ ○ ○ | ○ ○ ○. How many circles are there in total? Answer: ______________
  8. There are 3 red apples and 4 green apples in a bowl. How many apples are there in total? Answer: ______________
  9. Emma has 6 stickers. Her friend Noah gives her some more stickers. Now Emma has 9 stickers. How many stickers did Noah give Emma? Answer: ______________
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Answer Key & Explanations

Fact Families · Grade 1 · Worksheet 2

  1. If 5 + 4 = 9, what is 9 - 4 = ? Answer: 5 Solution: We know from the problem that 5 + 4 = 9. This means 9 is the total, and it is made of 5 and 4. If we start with the total (9) and subtract one of the parts (4), we are left with the other part.
    Full step-by-step solution

    Step 1: We know from the problem that 5 + 4 = 9. Step 2: This means 9 is the total, and it is made of 5 and 4. Step 3: If we start with the total (9) and subtract one of the parts (4), we are left with the other part. Step 4: So, 9 - 4 = 5. The answer is 5.

  2. If 9 + 1 = 10, what is 10 - 1 = ? Answer: 9 Solution: We know from the problem that 9 + 1 = 10. This means 10 is the total, and it is made of the two parts 9 and 1. If we start with the total (10) and subtract one of the parts (1), we are left with the other part.
    Full step-by-step solution

    Step 1: We know from the problem that 9 + 1 = 10. Step 2: This means 10 is the total, and it is made of the two parts 9 and 1. Step 3: If we start with the total (10) and subtract one of the parts (1), we are left with the other part. Step 4: So, 10 - 1 = 9. The answer is 9.

  3. Max has 6 red crayons and 1 blue crayons. How many crayons does Max have in all? Answer: 7 Solution: Count the red crayons: 6. Count the blue crayons: 1. Add them together: 6 + 1 = 7.
    Full step-by-step solution

    Step 1: Count the red crayons: 6. Step 2: Count the blue crayons: 1. Step 3: Add them together: 6 + 1 = 7. The answer is 7.

  4. A triangle has 3 sides. The first side is 6 units long, the second side is 4 units long, and the third side is 5 units long. What is the total length around the triangle? Answer: 15 Solution: Identify the lengths of all three sides: 6 units, 4 units, and 5 units. Add the first two sides: 6 + 4 = 10. Add the third side to the sum: 10 + 5 = 15.
    Full step-by-step solution

    Step 1: Identify the lengths of all three sides: 6 units, 4 units, and 5 units. Step 2: Add the first two sides: 6 + 4 = 10. Step 3: Add the third side to the sum: 10 + 5 = 15. The total length around the triangle is 15 units.

  5. Anna has 2 cookies. Anna gives 2 cookies to a friend. How many cookies does Anna have left? Answer: 0 Solution: Start with 2 cookies. Give away 2 cookies. Subtract: 2 - 2 = 0.
    Full step-by-step solution

    Step 1: Start with 2 cookies. Step 2: Give away 2 cookies. Step 3: Subtract: 2 - 2 = 0. The answer is 0.

  6. Ben has 8 cookies. Ben gives 6 cookies to a friend. How many cookies does Ben have left? Answer: 2 Solution: Start with 8 cookies. Give away 6 cookies. Subtract: 8 - 6 = 2.
    Full step-by-step solution

    Step 1: Start with 8 cookies. Step 2: Give away 6 cookies. Step 3: Subtract: 8 - 6 = 2. The answer is 2.

  7. Look at this pattern of circles: ○ ○ ○ | ○ ○ ○ | ○ ○ ○. How many circles are there in total? Answer: 9 Solution: The vertical bars "|" separate groups of circles. Count the circles in one group. That is 3 circles.
    Full step-by-step solution

    Let's break this down step by step. Step 1: Understand the pattern. The pattern is: ○ ○ ○ | ○ ○ ○ | ○ ○ ○ The vertical bars "|" separate groups of circles. Step 2: Count the circles in one group. The first group is: ○ ○ ○ That is 3 circles. Step 3: Count how many groups there are. Looking at the pattern: Group 1: ○ ○ ○ | Group 2: ○ ○ ○ | Group 3: ○ ○ ○ So there are 3 groups. Step 4: Multiply the number of groups by the number in each group. 3 groups × 3 circles per group = 9 circles. Step 5: Conclusion. The total number of circles is 9.

  8. There are 3 red apples and 4 green apples in a bowl. How many apples are there in total? Answer: 7 Solution: Identify the number of red apples. There are 3 red apples. Identify the number of green apples.
    Full step-by-step solution

    Step 1: Identify the number of red apples. There are 3 red apples. Step 2: Identify the number of green apples. There are 4 green apples. Step 3: Add the number of red apples and green apples together. 3 + 4 = 7 Step 4: State the total. Therefore, there are 7 apples in total.

  9. Emma has 6 stickers. Her friend Noah gives her some more stickers. Now Emma has 9 stickers. How many stickers did Noah give Emma? Answer: 3 Solution: Emma started with 6 stickers Emma ended with 9 stickers To find how many Noah gave her, subtract the starting amount from the ending amount 9 - 6 = 3 Noah gave Emma 3 stickers The answer is 3.
    Full step-by-step solution

    Step 1: Emma started with 6 stickers Step 2: Emma ended with 9 stickers Step 3: To find how many Noah gave her, subtract the starting amount from the ending amount Step 4: 9 - 6 = 3 Step 5: Noah gave Emma 3 stickers The answer is 3.