Math Drills
Scale
2Word Problems
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What this worksheet covers
- Worksheet
- Scale
The lesson ties a map to actual ground. Three kinds, finding the scale as a fraction from an actual distance and a length on the map, finding an actual distance from a scale and a length on the map, and turning an actual distance into a length on the map, are all worked as word problems.
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Expressions get set up that take multiplying by the denominator of the scale for dividing by it, or the reverse. Going from a length on the map to an actual length is a multiplication; coming back from an actual length to the map is a division. Settle first which of the two is wanted, then look at whether the denominator sits on the multiplying side or the dividing side of the expression.
Fitting the relation between figures onto a tool, a map, is what this lesson does, following on from Enlargement and Reduction. From here the partner becomes a collection of figures itself, and drawings leave the hand for a while.
- Converting Actual Length to the Scale Drawing2 questions
- Finding the Scale2 questions
- Actual Length from a Scale Drawing2 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Enlargement and Reduction”, shown with their answers.
(1)It is 1.5km from the gym to the school. On a map with a scale of 1 to 5 ten-thousand, how many cm is the length? Answer □
Answer: 3cm
(2)It is 1km from the community center to the post office. On a map with a scale of 1 to 2 ten-thousand 5 thousand, how many cm is the length? Answer □
Answer: 4cm
(3)The school and the gym are 1km apart. On the map they are 5cm apart. What is the scale of this map? Answer as a fraction. Answer □
Answer: 1/20000
(4)The station and the library are 2km apart. On the map they are 4cm apart. What is the scale of this map? Answer as a fraction. Answer □
Answer: 1/50000
(5)The station and the zoo are 7cm apart on a map with a scale of 1 to 10 ten-thousand. What is the actual distance in how many km? Answer □
Answer: 7km
(6)The shrine and the harbor are 5cm apart on a map with a scale of 1 to 10 ten-thousand. What is the actual distance in how many km? Answer □
Answer: 5km
