Math Drills
Scale
1Word 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 3km from the factory to the warehouse. On a map with a scale of 1 to 5 ten-thousand, how many cm is the length? Answer □
Answer: 6cm
(2)It is 12km from the town to the mountain. On a map with a scale of 1 to 10 ten-thousand, how many cm is the length? Answer □
Answer: 12cm
(3)The library and the art museum are 6km apart. On the map they are 12cm apart. What is the scale of this map? Answer as a fraction. Answer □
Answer: 1/50000
(4)The park and the hospital are 2km apart. On the map they are 10cm apart. What is the scale of this map? Answer as a fraction. Answer □
Answer: 1/20000
(5)The temple and the station are 12cm apart on a map with a scale of 1 to 2 ten-thousand 5 thousand. What is the actual distance in how many km? Answer □
Answer: 3km
(6)The factory and the warehouse are 12cm apart on a map with a scale of 1 to 5000. What is the actual distance in how many m? Answer □
Answer: 600m
