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Square NumbersActivity Booklet
Square Numbers Activity BookletSquare Numbers121 1 1222 2 4323 3 944 4 16525 5 25626 6 36727 7 49828 8 64929 9 81210210 10 10011211 11 12112212 12 14413213 13 16914214 14 19615215 15 225The product of a number multiplied by itself.e.g. 10 10 100which can be shown as:102 10010 squared 10010 10 100Page 1 of 15visit twinkl.com
Square Numbers Activity BookletInvestigating Square NumbersCopy and complete.Example:22 232 42 52 2 Page 2 of 154visit twinkl.com
Square Numbers Activity BookletInvestigating Square Numbers62 72 Page 3 of 15visit twinkl.com
Square Numbers Activity BookletInvestigating Square NumbersCan you continue the sequence? 1, 4, 9, 16, 25, 36, 49.Page 4 of 15visit twinkl.com
Square Numbers Activity BookletDiving into Mastery: Square Numbers1) Complete the missing boxes in the table to identify the first ten square numbers. You might want to usecounters to create each array on your table. The first one has been done for you.1 112122723 38 81692522) Why are these numbers called square numbers?3) Look at the square numbers in the table. What patterns can you identify?Page 5 of 15visit twinkl.com
Square Numbers Activity Booklet1) Jess says,“72 is 14.”Do you agree?Explain your thinking. 2) True or false? Justify your answers and use examples.a) The square of even numbers is always even. b) All square numbers have an even number of factors. c) The product of two square numbers is a square number. 1) The sum of two square numbers is 25. What are the square numbers? 2) The sum of three square numbers less than 144 is another square number. What are the square numbers? 3) A, B and C are different square numbers less than 144. Can you find eight solutions to make this statement true?A B B–CPage 6 of 15visit twinkl.com
Square Numbers Activity BookletSquare NumbersCircle the square tch the square 824Page 7 of 15visit twinkl.com
Square Numbers Activity BookletSquare NumbersWrite the number that is squared and the square number for each of these diagrams.Number squared:Number squared:Number squared:Square number:Square number:Square number:Number squared:Number squared:Number squared:Square number:Square number:Square number:Number squared:Number squared:Number squared:Square number:Square number:Square number:Page 8 of 15visit twinkl.com
Square Numbers Activity BookletSquare NumbersNumber squared:Number squared:Square number:Square number:Number squared:Square number:Page 9 of 15visit twinkl.com
Square NumbersAnswer Booklet
Square Numbers AnswersInvestigating Square Numbers32 3 3 94² 4 4 165² 5 5 256² 6 6 367² 7 7 491, 4, 9, 16, 25, 36, 49.64, 81, 100, 121, 144Page 11 of 15visit twinkl.com
Prime Numbers AnswersDiving into Mastery Square Numbers1)1 11216 662 362 22247 772 493 33298 882 644 442169 992 815 5522510 10 1022) A square number is the product of a number and itself. The productcan be shown as a square array hence the name.3) The square numbers alternate between odd and even.The difference between consecutive square numbers is odd and follows the pattern 3, 5, 7, 9, 11 and so on.1) Jess is incorrect. 72 is the same as 7 7 which is 49. Jess has calculated 7 2.2) a) True. The product of two even numbers is always even.For example, 4 4 16, 6 6 36.b) False. Square numbers have an odd number of factors as they are the result of thenumber being multiplied by itself. For example, the factors of 16 are 1, 2, 4, 8 and 16.c) True. For example, 1 4 4, 9 4 36.1) 9 16 252) 4 9 36 49 and 1 16 64 813) There are many possible solutions, such as:1 16 16 – 91 16 16 – 41 25 25 – 161 25 25 – 91 25 25 – 416 4 4 – 125 81 81 – 6436 49 49 – 16Page 12 of 15visit twinkl.com
Square Numbers AnswersSquare NumbersCircle the square tch the square 824Page 13 of 15visit twinkl.com
Square Numbers AnswersSquare NumbersNumber squared:1Number squared:2Number squared:3Square number:1Square number:4Square number:9Number squared:4Number squared:5Number squared:6Square number:16Square number:25Square number:36Number squared:7Number squared:8Number squared:9Square number:49Square number:64Square number:81Page 14 of 15visit twinkl.com
Square Numbers AnswersSquare NumbersNumber squared:10Number squared:11Square number:100Square number:121Number squared:12Square number:144Page 15 of 15visit twinkl.com
Square Numbers Activity Booklet Square Numbers The product of a number multiplied by itself. e.g. 10 10 100 which can be shown as: 102 100 10 squared 100
