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Number and Algebra, NAP-J2-38

Karen stands on a box and her new height is 1.8 metres.

Karen's actual height is twice that of the box.

What is the height of the box in centimetres?

   centimetres
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`text(60 cm)`

Show Worked Solution
`text(1.8 metres)` `= 180\ text(centimetres)`
`180 ÷ 3` `= 60\ text(cm)`

 
`:.\ text(The height of the box is 60 cm.)`

Filed Under: Fractions and Decimals, Fractions and Decimals, Solving Problems - Multiply/Divide, Solving problems - Multiply/Divide Tagged With: Band 8, smc-3085-40-Multi-Step problem, smc-3087-70-Decimal calculations, smc-691-70-Decimal calculations, smc-922-40-Multi-Step problem

Number and Algebra, NAP-K2-25

A hot air balloon is 25.2 metres high.

The length of the balloon section is 21.55 metres.
 

  
What is the height of the basket section?

`text(3.65 metres)` `text(3.75 metres)` `text(4.55 metres)` `text(4.65 metres)`
 
 
 
 
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`text(3.65 metres)`

Show Worked Solution

`text(Let)\ \ h =\ text(height of basket section)`

`h + 21.55` `= 25.2`
`:. h` `= 25.2 – 21.55`
  `= 25.2 – 22 + 0.45`
  `= 3.65`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 7, smc-3087-70-Decimal calculations, smc-691-70-Decimal calculations

Number and Algebra, NAP-B2-37 SA

The number of soccer players in France is 11.67 million.

The number of soccer players in Spain is 7.83 million.

How many more soccer players are in France than in Spain?

   million
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`3.84\ text(million)`

Show Worked Solution

`11.67\ text(million) – 7.83\ text(million)`

`=3.84\ text(million)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 9, smc-3087-70-Decimal calculations, smc-691-70-Decimal calculations

Number and Algebra, NAP-C2-25

5.31 is equal to

 
`0.5 + 0.3 + 0.1`
 
`5.0 + 0.3 + 0.1`
 
`5 + 0.3 + 0.01`
 
`5 + 0.03 + 0.01`
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`5 + 0.3 + 0.01`

Show Worked Solution

`5 + 0.3 + 0.01`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 6, smc-3087-70-Decimal calculations, smc-691-70-Decimal calculations

Number and Algebra, NAP-C2-32

The cost of bananas is $8.00 per kilogram.
 

 
The cost of 10 bananas is closest to

 
`$7`
 
`$12`
 
`$15`
 
`$80`
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`$12`

Show Worked Solution

`text(1 banana weighs 0.15 kg)`

`=> 10\ text(bananas weigh 1.5 kg)`

`:.\ text(C) text(ost of 10 bananas)`

`= 1.5 xx $8`

`= $12`

Filed Under: Financial Mathematics, Fractions and Decimals, Fractions and Decimals, Money and Financial Mathematics Tagged With: Band 8, smc-2536-50-Multi-Step problems, smc-3086-50-Multi-Step problems, smc-3087-70-Decimal calculations, smc-691-70-Decimal calculations

Number and Algebra, NAP-F2-34 SA

`22.5 ÷`     `= 2.25`
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`10`

Show Worked Solution
`22.5 ÷ 10` `=22.5/10`
  `=2.25`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 8, smc-3087-70-Decimal calculations, smc-691-70-Decimal calculations

Number and Algebra, NAP-G2-39 SA

Oscar and Patrick both competed in the shot put at their school's athletics carnival.

Oscar's best throw was 5.22 metres.

Patrick's best throw was 4.35 metres.

What was the difference, in centimetres, between their best throws?

  centimetres
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`text(87 cm)`

Show Worked Solution
`text(Difference)` `= 5.22\ text(m) – 4.35\ text(m)`
  `= 522\ text(cm) – 435\ text(cm)`
  `= 87\ text(cm)`

Filed Under: Fractions and Decimals, Fractions and Decimals, Units of Measurement, Units of Measurement Tagged With: Band 9, smc-3087-70-Decimal calculations, smc-3089-20-Convert mm/cm/m/km, smc-691-70-Decimal calculations, smc-919-20-Convert mm/cm/m/km

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