Mathematics Grade 3 15 min

Age puzzles

Age puzzles

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Introduction & Learning Objectives

Learning Objectives Identify the question being asked in a simple age puzzle. Use addition to calculate a person's age in the future. Use subtraction to calculate a person's age in the past. Solve one-step age puzzles involving terms like 'older than' and 'younger than'. Solve two-step age puzzles that require finding a current age first. Check their answer to make sure it is logical and makes sense in the context of the story. If your friend is 8 years old now, how old will they be on their next birthday? 🎂 Let's become math detectives and solve fun puzzles about age! In this lesson, we will learn how to solve age puzzles. We will use our addition and subtraction skills to figure out how old people are, how old they will be, and how old...
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Key Concepts & Vocabulary

TermDefinitionExample Current AgeHow old a person is right now, today.If you had your 8th birthday last month, your current age is 8. Future AgeHow old a person will be later in time.In 3 years, an 8-year-old's future age will be 11. Past AgeHow old a person was before today.Two years ago, an 8-year-old's past age was 6. Older ThanThis means you need to add years to find the age of the older person.If Ben is 7 and his sister is 2 years older, you add: 7 + 2 = 9. His sister is 9. Younger ThanThis means you need to subtract years to find the age of the younger person.If Maria is 10 and her brother is 3 years younger, you subtract: 10 - 3 = 7. Her brother is 7. Age DifferenceThe number of years between two people's ages. This number never changes!If a brother is 10 and his sis...
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Core Formulas

Future Age Formula Current Age + Number of Years = Future Age Use this when the puzzle asks how old someone will be 'in the future' or 'in X years'. Past Age Formula Current Age - Number of Years = Past Age Use this when the puzzle asks how old someone was 'in the past' or 'X years ago'. Age Comparison Formula Known Age ± Difference = Unknown Age Use '+' for 'older than' and '-' for 'younger than' to find someone's current age based on another person's age.

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Sample Practice Questions

Challenging
In 5 years, Ben will be 13. His sister is 4 years younger than he is now. How old is his sister now?
A.8 years old
B.4 years old
C.9 years old
D.12 years old
Challenging
Four years ago, Lisa was 6 years old. How old will she be in 5 years from now?
A.15 years old
B.10 years old
C.11 years old
D.9 years old
Challenging
My dad is 30 years older than me. I am 8 years old. In how many years will my dad be 42 years old?
A.38 years
B.30 years
C.8 years
D.4 years

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