Here are the step-by-step solutions for each problem on the worksheet.
1) Thumbtacks Problem
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Step 1: Find out how many thumbtacks are used in total. There are 23 pictures and each needs 4 thumbtacks.
$23 \times 4 = 92$ thumbtacks used.
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Step 2: Subtract the used thumbtacks from the total Tom has to find what is left over.
$99 - 92 = 7$ thumbtacks left.
2) Ages Problem
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Step 1: Add up the ages of all the friends: $11 + 8 + 11 + 8$.
$11 + 11 = 22$
$8 + 8 = 16$
$22 + 16 = 38$ (Total age of friends)
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Step 2: The question asks how much older this total sum is compared to Jane's age (7). So, subtract Jane's age from the total.
$38 - 7 = 31$ years older.
3) Chess Problems Time
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Step 1: Convert the total time into seconds because the answer needs to be in seconds.
1 minute = 60 seconds.
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Step 2: Divide the total seconds by the number of problems to see how much time you get per problem.
$60 \text{ seconds} \div 15 \text{ problems} = 4$ seconds per problem.
4) Silver Containers
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Step 1: Multiply the number of containers by the number of keys each one holds.
$9 \text{ containers} \times 9 \text{ keys each} = 81$ keys.
5) Stickers Collection
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Step 1: Find out how many stickers the whole class collects in one week.
$8 \text{ girls} \times 15 \text{ stickers} = 120$ stickers per week.
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Step 2: Multiply that weekly amount by the number of weeks (5).
$120 \times 5 = 600$ stickers.
6) Walking Distance
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Step 1: Look at the relationship between distance and time. You walk 6 feet in 10 seconds.
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Step 2: The new distance is 12 feet. Notice that 12 is exactly double 6 ($6 \times 2 = 12$).
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Step 3: Since the distance is doubled, the time will also double.
$10 \text{ seconds} \times 2 = 20$ seconds.
Final Answer:
1) 7 thumbtacks
2) 31 years
3) 4 seconds
4) 81 keys
5) 600 stickers
6) 20 seconds
Parent Tip: Review the logic above to help your child master the concept of math fact cafe worksheet.
