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Number, NAP-K4-CA09

Ziggy turns the hose on and fills up a bucket.

Which graph best represents the height of the water in the bucket over time?

 
 
 
 
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`text(The height of the water increases as the bucket)`

`text(fills up at a constant rate.)`

Filed Under: Rates and Ratios, Rates and Ratios Tagged With: Band 7, smc-3177-40-Rates and graphs, smc-685-40-Rates and graphs

Number, NAP-E4-NC13

Jack had a full bucket of water.

 

 

 

He put a hole in the bottom and the water leaked out.

After a few minutes, Jack put a second identical hole in the bucket and the water poured out more quickly.

Which graph below best shows the depth of water in the bucket against time?
 

 
 
 
 
 
 
 
 

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`text(The depth decreases slowly at first and once the)`

`text(second hole is made, it decreases at twice the rate.)`
 

Filed Under: Rates and Ratios, Rates and Ratios Tagged With: Band 8, smc-3177-40-Rates and graphs, smc-685-40-Rates and graphs

Number, NAP-H4-NC11

 

 
Which of the following situations best fits the distance/time graph above?

 
Matt ran to the park, sat down on a bench, and then walked home.
 
Matt walked to the park, sat down on a bench, and walked back home.
 
Matt walked to the park, sat down on a bench and ran home.
 
Matt walked to the park and back home without stopping. 
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`text(Matt walked to the park, sat down on)`

`text(a bench and ran home.)`

Show Worked Solution

`text(Matt walked to the park, sat down on)`

STRATEGY: The steep line returning home shows he travelled faster than getting there.

`text(a bench and ran home.)`

Filed Under: Rates and Ratios, Rates and Ratios Tagged With: Band 8, smc-3177-40-Rates and graphs, smc-3177-50-D=SxT, smc-685-40-Rates and graphs, smc-685-50-D=SxT

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