Age and Year Word Problems Practice Test Worksheets
Age and year questions test whether you can keep track of direction: older means born earlier, younger means born later, and age gaps stay the same as time passes.
For students who can handle ages, but lose marks when past years, future years, and age differences appear together.
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What Do Age and Year Questions Look Like?
Age and year questions test whether you can keep track of timeline direction: older means born earlier, younger means born later, and age gaps stay constant over time. Here is a worked example.
Younger Means Later Birth Year
Question: Linda is 11 years younger than Sophie. Sophie was born in 1989. When was Linda born?
Worked Method
Step 1: Linda is younger, so she was born later.
Step 2: Add the age gap to Sophie's birth year: 1989 + 11 = 2000.
Tip: Younger people have larger, later birth years.
Rules to Help You Solve Age and Year Questions
The worked example above demonstrates how timeline direction determines whether you add or subtract an age gap. Most age and year questions rely on four core rules:
🎂 Rule 1: Older means born earlier
First identify whose birth year you need. If that person is older than the person whose birth year you know, subtract the age gap from the known birth year.
Example: Martha was born in 1951. Cynthia is 7 years older, so Cynthia was born in 1944.
đź“… Rule 2: Younger means born later
If the person whose birth year you need is younger than the person whose birth year you know, add the age gap. Choose the operation based on who you are finding, not just the word “older” or “younger”.
Example: Peter was born in 1949 and is 4 years older than Harry. Harry is the younger person, so his birth year is 1949 + 4 = 1953.
đź”’ Rule 3: Age gaps stay the same
If one person is currently 42 years older, they will still be 42 years older in the future.
“Years old” gives an age; “years older” gives an age gap. If Jane is 8 and her mother is 35 years older, her mother is 8 + 35 = 43 years old.
Example: Bert is 5 and his father is 47, so the gap is 42 years.
⏩ Rule 4: Future age adds the same time to both people
To find a future age, work out how many years pass for the target person, then add that to the other person too.
Example: A father goes from 47 to 61, so 14 years pass. Bert goes from 5 to 19.
Two More Worked Examples
A parent-child future age calculation and working out a future age from an unchanged age gap.
Future Age from a Parent's Age
Question: Bert is 5 years old. His father is 47 years old. How old will Bert be when his father is 61?
Worked Method
Step 1: Find how many years pass for the father: 61 - 47 = 14 years.
Step 2: Bert also gets 14 years older: 5 + 14 = 19.
Tip: When time passes, everyone ages by the same number of years.
Future Age from an Age Gap
Question: Cynthia is 10 years old. Her mother is 40 years older than Cynthia. How old will Cynthia be when her mother is 67?
Worked Method
Step 1: The 40 years is the age gap. Find the mother's current age: 10 + 40 = 50 years old.
Step 2: Find how many years pass before her mother is 67: 67 - 50 = 17 years.
Step 3: Add the same time to Cynthia's age: 10 + 17 = 27 years old.
Tip: You can also use the unchanged age gap directly: 67 - 40 = 27. Cynthia will still be 40 years younger than her mother.
