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Number and Algebra, NAP-K2-39

Ruby thinks of a number that follows the rules below.

  • the number is odd
  • the number lies between 4300 and 5100
  • the number's digits add up to 12

Select all of the possible numbers that Ruby could be thinking of.

`4411` `5115` `5025` `4503` `4170` `4602`
 
 
 
 
 
 
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`text(5025 and 4503)`

Show Worked Solution

`text(5025 and 4503 satisfy all the rules.)`

Number and Algebra, NAP-C2-35 SA

This grid shows the numbers from 1 to 20.
 

 
Percy crosses off all multiples of 2.

Penny then crosses off all prime numbers.

How many numbers will still be showing on the grid?
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`text(2 numbers)`

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`text(Only 9 and 15 will be left.)`

`:.\ text(2 numbers will be left showing.)`

Number and Algebra, NAP-I2-26

Bennelong writes a number on a piece of paper and hides it.

He gives his friend the following clues about his number.

  • The number is less than 500.
  • The number has 30 tens.
  • The digit in the ones place is one more than the digit in
    the hundreds place.

What is Bennelong's number?

`30` `34` `300` `304`
 
 
 
 
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`304`

Show Worked Solution

`text(Consider the following clues,)`

`text(Number has 30 tens,)`

`=>\ text(Number is 3 digits, starting with 30_)`

 

`text(The “ones” digit is one more than the “hundreds” digit,)`

`:.\ text(Number must be 304.)`