{"id":204,"date":"2022-04-12T09:53:00","date_gmt":"2022-04-12T09:53:00","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=204"},"modified":"2025-12-19T05:24:06","modified_gmt":"2025-12-19T05:24:06","slug":"j-7-scale-drawings-word-problems","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/j-7-scale-drawings-word-problems\/","title":{"rendered":"J.7 Scale drawings: word problems"},"content":{"rendered":"\n

Scale drawings: word problems<\/strong><\/h2>\n\n\n\n

key notes :<\/p>\n\n\n\n

\ud83d\udccf What is a Scale Drawing?<\/strong><\/p>\n\n\n\n

A scale drawing is a picture that shows a real object smaller or larger<\/strong> but keeps the same shape and proportions<\/strong>.<\/p>\n\n\n\n

\ud83d\udd22 Understanding the Scale<\/strong><\/p>\n\n\n\n

A scale<\/strong> compares drawing size to real size.<\/p>\n\n\n\n

Example: 1 cm = 5 m<\/strong> means every 1 cm on paper represents 5 m in real life.<\/p>\n\n\n\n

\ud83d\uddfa\ufe0f Common Uses of Scale Drawings<\/strong><\/p>\n\n\n\n

Maps \ud83d\uddfa\ufe0f<\/p>\n\n\n\n

Building plans \ud83c\udfe0<\/p>\n\n\n\n

Classrooms and playground layouts \ud83c\udfeb<\/p>\n\n\n\n

\u2797 Using Ratios<\/strong><\/p>\n\n\n\n

Scales are written as ratios<\/strong> like 1 : 100<\/strong>.<\/p>\n\n\n\n

This means 1 unit on the drawing equals 100 units in real life.<\/p>\n\n\n\n

\u2716\ufe0f Finding Real Length (Multiply!)<\/strong><\/p>\n\n\n\n

Real length = Drawing length \u00d7 Scale factor<\/strong><\/p>\n\n\n\n

Example: If scale is 1 cm = 10 m, then 4 cm = 40 m<\/strong><\/p>\n\n\n\n

\u2796 Finding Drawing Length (Divide!)<\/strong><\/p>\n\n\n\n

Drawing length = Real length \u00f7 Scale factor<\/strong><\/p>\n\n\n\n

Example: 50 m \u00f7 10 = 5 cm<\/strong><\/p>\n\n\n\n

\ud83d\udcd0 Same Shape, Same Angles<\/strong><\/p>\n\n\n\n

All angles in a scale drawing are equal<\/strong> to the real object\u2019s angles.<\/p>\n\n\n\n

\ud83e\udde0 Word Problem Tips<\/strong><\/p>\n\n\n\n

Read carefully \ud83d\udc40<\/p>\n\n\n\n

Identify the scale<\/strong><\/p>\n\n\n\n

Decide: Multiply or Divide?<\/strong><\/p>\n\n\n\n

Write correct units<\/strong> (cm, m, km)<\/p>\n\n\n\n

\u26a0\ufe0f Common Mistakes to Avoid<\/strong><\/p>\n\n\n\n

Mixing units (cm and m) \u274c<\/p>\n\n\n\n

Forgetting to use the scale \u274c<\/p>\n\n\n\n

Not writing the final unit \u274c<\/p>\n\n\n\n

\ud83c\udfaf Real-Life Example<\/strong><\/p>\n\n\n\n

A map uses a scale 1 cm = 2 km<\/strong>.<\/p>\n\n\n\n

Distance on map = 6 cm<\/p>\n\n\n\n

Real distance = 6 \u00d7 2 = 12 km \ud83d\ude97<\/strong><\/p>\n\n\n\n

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\u2728 Quick Memory Trick<\/h3>\n\n\n\n

\ud83d\udc49 Drawing \u2192 Real = Multiply \u2716\ufe0f<\/strong>
\ud83d\udc49 Real \u2192 Drawing = Divide \u2797<\/strong><\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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\ud83d\udc49Tony made a scale drawing of a swimming pool. The pool, which is 18 metres wide in real life, is 2 millimetres wide in the drawing. What is the scale of the drawing?<\/strong><\/p>\n\n\n\n

1 millimetre : _____ metres<\/p>\n<\/div><\/div>\n\n\n\n

Write the ratio of the width of the pool in the drawing to the width of the actual pool. Write the ratio in fraction form.<\/p>\n\n\n\n

2 mm \/ 18 m<\/p>\n\n\n\n

Simplify the fraction.<\/p>\n\n\n\n

2 mm \u00f7 2 \/ 18 m \u00f7 2 = 1 mm \/ 9 m<\/p>\n\n\n\n

The scale of the drawing is 1 millimetre : 9 metres.<\/p>\n<\/div><\/div>\n\n\n\n

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\ud83d\udc49 Eva measured a summer camp and made a scale drawing. She used the scale 1 millimetre : 3 metres. If the sand volleyball court is 3 millimetres in the drawing, how wide is the actual volleyball court?<\/strong><\/p>\n\n\n\n

 _____ metres<\/p>\n<\/div><\/div>\n\n\n\n

Write the scale of the drawing as a fraction:<\/p>\n\n\n\n

1 mm \/ 3 m<\/p>\n\n\n\n

Write an equivalent fraction with 3 millimetres as the numerator.<\/p>\n\n\n\n

1 mm \u00d7 3 \/ 3 m \u00d7 3 = 3 mm \/ 9 m<\/p>\n\n\n\n

The actual volleyball court is 9 metres wide.<\/p>\n<\/div><\/div>\n\n\n\n

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\ud83d\udc49 Mitchell drew a scale drawing of a house and its lot. In real life, the front patio is 30 metres long. It is 3 centimetres long in the drawing. What scale did Mitchell use for the drawing?<\/strong><\/p>\n\n\n\n

1 centimetre : _______ metres<\/p>\n<\/div><\/div>\n\n\n\n

Write the ratio of the length of the patio in the drawing to the length of the actual patio. Write the ratio in fraction form.<\/p>\n\n\n\n

3 cm \/ 13 m<\/p>\n\n\n\n

Simplify the fraction.<\/p>\n\n\n\n

3 cm \u00f7 3 \/ 30 m \u00f7 3 = 1 cm \/ 10 m<\/p>\n\n\n\n

The scale of the drawing is 1 centimetre : 10 metres.<\/p>\n<\/div><\/div>\n\n\n\n

let’s practice! \ud83d\udd8a\ufe0f<\/p>\n<\/div><\/div>\n\n\n\n

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Scale drawings: word problems key notes : \ud83d\udccf What is a Scale Drawing? A scale drawing is a picture that shows a real object smaller or larger but keeps the same shape and proportions. \ud83d\udd22 Understanding the Scale A scale compares drawing size to real size. Example: 1 cm = 5 m means every 1Continue reading “J.7 Scale drawings: word problems”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-204","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t