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Similar Shapes – Area – Bingo Method
Students should choose nine answers from the grid and place them randomly into a 3x3 square in their book. You may want to pause your display and choose questions according to difficulty during the game. Depending on time, students could win with a line, an X, or a ‘full house’ (all).
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BINGO! 45 54 23 82 37 12 76 25 91 Areas of Similar Shapes
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Choose your numbers… 2.7 86.2 47.3 43.8 15.8 140 12.6 83.6 184.3 34.4 30 22.9 9.6 5.8 38.9 6.7 Draw a 3x3 grid in your book.
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These shapes are similar. Find 𝑥.
Area = 𝑥 cm2 Area = 7 cm2 2 cm 5 cm 7 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 2 :5 7 ÷ 4 Find the value of one piece of the area ratio. 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 22 :52 𝐴𝑁𝑆×25=𝑥 Multiply to find 𝑥. 4 :25 𝑥=43.8 𝑐𝑚2
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These shapes are similar. Find 𝑥.
Area = 𝑥 cm2 Area = 14 cm2 3 cm 5 cm 14 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 3 :5 14 ÷9 Find the value of one piece of the area ratio. 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 32 :52 𝐴𝑁𝑆×25=𝑥 Multiply to find 𝑥. 9 :25 𝑥=38.9 𝑐𝑚2
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These shapes are similar. Find 𝑥.
Area = 𝑥 cm2 Area = 22 cm2 5 cm 4 cm 22 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 4 :5 22 ÷16 Find the value of one piece of the area ratio. 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 42 :52 𝐴𝑁𝑆×25=𝑥 Multiply to find 𝑥. 16 :25 𝑥=34.4 𝑐𝑚2
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These shapes are similar. Find 𝑥.
Area = 100 cm2 Area = 49 cm2 𝑥 cm 16 cm 16 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 49 : 100 16 ÷7 Find the value of one piece of the area ratio. 7 :10 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 49 :100 𝐴𝑁𝑆×10=𝑥 Multiply to find 𝑥. 𝑥=22.9 𝑐𝑚
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These shapes are similar. Find 𝑥.
Area = 49 cm2 Area = 25 cm2 𝑥 cm 9 cm 9 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 25 : 49 9 ÷5 Find the value of one piece of the area ratio. 5 :7 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 25 :49 𝐴𝑁𝑆×7=𝑥 Multiply to find 𝑥. 𝑥=12.6 𝑐𝑚
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These shapes are similar. Find 𝑥.
Surface Area = 𝑥 cm2 Surface Area = 72 cm2 8 cm 5 cm 72 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 5 :8 72 ÷25 Find the value of one piece of the area ratio. 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 52 :82 𝐴𝑁𝑆×64=𝑥 Multiply to find 𝑥. 25 :64 𝑥=184.3 𝑐𝑚2
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These shapes are similar. Find 𝑥.
Surface Area = 16 cm2 Surface Area = 9 cm2 2 cm 𝑥 cm 2 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 9 : 16 2 ÷3 Find the value of one piece of the area ratio. 3 :4 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 9 :16 𝐴𝑁𝑆×4=𝑥 Multiply to find 𝑥. 𝑥=2.7 𝑐𝑚
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These shapes are similar. Find 𝑥.
Surface Area = 𝑥 cm2 Surface Area = 35 cm2 3 cm 6 cm 35 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 3 :6 35 ÷1 Find the value of one piece of the area ratio. 1 :2 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 12 :22 𝐴𝑁𝑆×4=𝑥 Multiply to find 𝑥. 1 :4 𝑥=140 𝑐𝑚2
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These shapes are similar. Find 𝑥.
Area = 25 cm2 𝑥 cm Area = 9 cm2 4 cm 𝑥 cm 4 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 9 : 25 4 ÷3 Find the value of one piece of the area ratio. 3 :5 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 9 :25 𝐴𝑁𝑆×5=𝑥 Multiply to find 𝑥. 𝑥=6.7 𝑐𝑚
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These shapes are similar. Find 𝑥.
Surface Area = 𝑥 cm2 Surface Area = 21 cm2 9 cm 6 cm 21 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 6 :9 21 ÷4 Find the value of one piece of the area ratio. 2 :3 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 22 :32 𝐴𝑁𝑆×9=𝑥 Multiply to find 𝑥. 4 :9 𝑥=47.3 𝑐𝑚2
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These shapes are similar. Find 𝑥.
Surface Area = 49 cm2 Surface Area = 36 cm2 5 cm 𝑥 cm 5 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 36 : 49 5 ÷6 Find the value of one piece of the area ratio. 6 :7 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 36 :49 𝐴𝑁𝑆×7=𝑥 Multiply to find 𝑥. 𝑥=5.8 𝑐𝑚
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These shapes are similar. Find 𝑥.
Area = 81 cm2 Area = 16 cm2 7 cm 𝑥 cm 7 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 16 : 81 7 ÷4 Find the value of one piece of the area ratio. 4 :9 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 16 :81 𝐴𝑁𝑆×9=𝑥 Multiply to find 𝑥. 𝑥=15.8 𝑐𝑚
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These shapes are similar. Find 𝑥.
Surface Area = 𝑥 cm2 Surface Area = 47 cm2 6 cm 8 cm 47 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 6 :8 47 ÷9 Find the value of one piece of the area ratio. 3 :4 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 32 :42 𝐴𝑁𝑆×16=𝑥 Multiply to find 𝑥. 9 :16 𝑥=83.6 𝑐𝑚2
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These shapes are similar. Find 𝑥.
Surface Area = 36 cm2 Surface Area = 25 cm2 8 cm 𝑥 cm 8 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 25 : 36 8 ÷5 Find the value of one piece of the area ratio. 5 :6 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 25 :36 𝐴𝑁𝑆×6=𝑥 Multiply to find 𝑥. 𝑥=9.6 𝑐𝑚
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These shapes are similar. Find 𝑥.
Surface Area = 100 cm2 Surface Area = 16 cm2 12 cm 𝑥 cm 12 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 4 : 25 12 ÷2 Find the value of one piece of the area ratio. 2 :5 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 16 :100 𝐴𝑁𝑆×5=𝑥 Multiply to find 𝑥. 4 :25 𝑥=30 𝑐𝑚
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These shapes are similar. Find 𝑥.
Surface Area = 𝑥 cm2 Surface Area = 44 cm2 7 cm 5 cm 44 : 𝑥 Input values 𝐿𝑒𝑛𝑔𝑡ℎ 𝑅𝑎𝑡𝑖𝑜 ➜ 5 :7 44 ÷25 Find the value of one piece of the area ratio. 𝐴𝑟𝑒𝑎 𝑅𝑎𝑡𝑖𝑜 ➜ 52 :72 𝐴𝑁𝑆×49=𝑥 Multiply to find 𝑥. 25 :49 𝑥=86.2 𝑐𝑚2
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tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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