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Number, NAP-A3-NC03

Another way of writing  `5^2`  is

`5 xx 2`       `5 xx 5`       `5 + 5` `2 xx 2 xx 2 xx 2 xx 2`
 
 
 
 
 
 
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`5 xx 5`

Show Worked Solution

`5 xx 5`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 5, smc-3143-40-Integer indices, smc-676-40-Integer indices

Number, NAP-A4-NC27

Pamela has these four number cards.

Which two cards have the same value?

 
 
 
 
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Show Worked Solution
`9^2` `= 9xx9`
  `=81`
`3^4` `= 3 xx 3 xx 3 xx 3`
  `= 81`

 

`:. 9^2 and 3^4\ \ text(have the same value.)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 9, smc-3143-40-Integer indices, smc-3173-40-Integer Indices, smc-890-40-Integer Indices

Number, NAP-B4-NC16

Which expression is equal to  `6^3 xx 36^2`?

 
`6 xx 3 xx 36 xx 2`
 
`6 xx 6 xx 6 xx 6 xx 6`
 
`6 xx 6 xx 6 xx 36 xx 6`
 
`6 xx 6 xx 6 xx 6 xx 6 xx 6 xx 6`
Show Answers Only

`6 xx 6 xx 6 xx 6 xx 6 xx 6 xx 6`

Show Worked Solution
`6^3 xx 36^2` `= (6xx6xx6) xx (6xx6)^2`
  `= (6xx6xx6) xx (6xx6) xx (6 xx6)`
  `=6 xx 6 xx 6 xx 6 xx 6 xx 6 xx 6`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 8, smc-3143-40-Integer indices, smc-3173-40-Integer Indices, smc-890-40-Integer Indices

Number, NAP-F4-NC08

1102 is a tri-square number because
 

`1^2 + 1^2 + 0^2 = 2`
 

The next tri-square number after 1102 is

`1104` `1113` `1209` `1126`
 
 
 
 
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`1113`

Show Worked Solution
`1^2 + 1^2 + 1^2` `= 1 + 1 + 1`
  `= 3`

 

`:. 1113\ text(is the next tri-square number.)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-40-Integer indices, smc-3173-40-Integer Indices, smc-890-40-Integer Indices

Number, NAP-F3-CA09

What is the value of  `25^2?`

`5`  `27` `50` `525` `625`
 
 
 
 
 
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`625`

Show Worked Solution
`25^2` `= 25 xx 25`
  `=625`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-40-Integer indices, smc-676-40-Integer indices

Number, NAP-G3-CA16

What is the whole number closest in value to  `6.2^2?`

`12` `13` `38` `39` `49`
 
 
 
 
 
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`38`

Show Worked Solution

`6.2 xx 6.2 = 38.44`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 8, smc-3143-40-Integer indices, smc-676-40-Integer indices

Number, NAP-H3-CA11

Which one of these has the same value as `16^2`? 

`32^2 ÷ 4` `2 xx 2 xx 4 xx 2 xx 4` `2 xx 8^2` `2 xx 16 xx 16`
 
 
 
 
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`32^2 ÷ 4`

Show Worked Solution
`16^2` `=16 xx 16`
  `=32 -: 2 xx 32 -: 2`
  `=32^2 -: 4`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-15-Factors, smc-3143-40-Integer indices, smc-676-15-Factors, smc-676-40-Integer indices

Number, NAP-F4-NC11

`2^5 - 2^3 = ` 
 

Which number makes the expression above correct?

`4` `8` `24` `28`
 
 
 
 
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`24`

Show Worked Solution
`2^5 – 2^3` `=32 – 8`
  `=24`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 8, smc-3143-40-Integer indices, smc-3173-40-Integer Indices, smc-890-40-Integer Indices

Number, NAP-H4-NC07

`7 xx 2^3 =`

`28` `42` `56` `2744`
 
 
 
 
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`56`

Show Worked Solution
`7 xx 2^3` `= 7 xx 2 xx 2 xx 2`
  `= 56`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-40-Integer indices, smc-3173-40-Integer Indices, smc-890-40-Integer Indices

Number, NAP-H4-CA10

`30^2` is equal to which of the following?

`60^2 ÷ 3` `3^2 xx 2 xx 5 xx 2 xx 5` `9 xx 5^2` `3 xx 10 xx 10`
 
 
 
 
Show Answers Only

`3^2 xx 2 xx 5 xx 2 xx 5`

Show Worked Solution

`30^2 = 900`

 

`3^2 xx 2 xx 5 xx 2 xx 5`

`= 3^2 xx 10 xx 10`

`= 900`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-40-Integer indices, smc-3173-40-Integer Indices, smc-890-40-Integer Indices

Number, NAP-I4-CA02

Which of the following is equal to 32?

`2^3 xx 2^2` `2^3 + 2^2` `3^2 + 2^2` `3^2 xx 2^2`
 
 
 
 
Show Answers Only

`2^3 xx 2^2`

Show Worked Solution
`2^3 xx 2^2` `= 8 xx 4`
  `= 32`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3143-40-Integer indices, smc-3173-40-Integer Indices, smc-890-40-Integer Indices

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