Answers to Froggy Maths!

Froggy Maths!

The South American Sharp-Nosed Frog can hop 3 metres in one hop.

The American Bullfrog can hop 2 metres in one hop.

The Northern Leopard Frog can hop 150 cms (or 1 ½ metres) in one hop.

The perimeter of the pond is 60 metres.

How many hops would it take the South American Sharp-Nosed Frog to get all the way around the pond?     Answer = 20 hops

(3 metres per hop, so 20 x 3 metres = 60 metres)                                                    

How many hops would it take the American Bullfrog to get all the way around the pond?       Answer = 30 hops

(2 metres per hop, so 30 x 2 metres = 60 metres)                                                    

How many hops would it take the Northern Leopard Frog to get all the way around the pond?     Answer = 40 hops(1 ½ metres per hop, so 40 x 1 ½ = 60 metres… Although I worked this out by thinking that two Northern Leopard frogs would be the same distance as one South American Sharp Nosed Frog, so it would need TWICE as many hops. 

The frogs could also hop across the pond if they go across the part of the pond that is completely covered in lily pads. This part of the pond is twelve metres across.

How many hops would it take each frog to go across the pond on the lily pads?

South American Sharp-Nosed Frog         4 hops

American Bullfrog                                       6 hops

Northern Leopard Frog                              8 hops

The three frogs decide to do a sponsored hop around the pond to raise funds for the NHS! They decide to hop a distance of 3 kilometres (3,000 metres).

How many laps of the pond will each frog have to hop?     They would each have to do 50 laps because 50 x 60 = 3000

Super Challenge Question!

If each frog can make 10 hops in a minute, how long will it take each frog to complete the 3 kilometre sponsored hop? (You might need some extra paper here, or a calculator, to help with your working out!)

South American Sharp-Nosed Frog               

Would need 1000 hops to complete the 3000 metres. 100 hops would take 10 minutes, so 1000 hops would take 100 minutes!

Answer = 1 hour and 40 minutes

American Bullfrog  

Would need 1500 hops to complete the 3000 metres. 100 hops would take 10 minutes, so 1000 hops would take 100 minutes! 1500 hops would take 150 minutes.

Answer = 2 hours and 30 minutes                           

Northern Leopard Frog    

Would need 2000 hops to complete the 3000 metres. That’s twice as many hops as the South American Sharp-Nosed frog, so it would take twice as long. 200 minutes

Answer = 3 hours and 20 minutes                          

For Lily Pad B I added up the areas shown (22 squares) and estimated about 6 more squares for ‘piecing together’ the rest of the lily pad. So my final estimate was 28 squares. I think anything from 26 to 30 squares is a pretty good estimate!

For Lily Pad C I added up the areas shown = 47 squares. I estimated another 12 whole squares from the remaining pieces. So my total estimate was 59 squares.

I think anything from 56 to 62 squares is a pretty good estimate.

The yellow bucket holds 5 litres of water, the blue bucket holds 7 litres of water and the red bucket holds 10 litres of water. One litre of water weighs 1 kg.

An empty yellow bucket weighs 2 kgs.

An empty blue bucket weighs 3 kgs.

An empty red bucket weighs 4 kgs.

The American Bullfrog is huge and weighs around ½ kg (per frog).

The Northern Leopard frog is very small and weighs around 50 grams (per frog).

The South American Sharp-Nosed frog weighs around 100 grams (per frog).

10 Northern Leopard Frogs jump into the yellow bucket.

10 South American Sharp-Nosed Frogs jump into the blue bucket.

10 American Bullfrogs jump into the red bucket.

Use the table below to help you find the total weight of each bucket if it was full of water, plus the 10 frogs!

 Yellow BucketBlue BucketRed Bucket
Weight of Bucket2 kg3 kg4 kg
Weight of Water in Bucket  5 kg7 kg10 kg
Weight of 10 Northern Leopard Frogs500g  
Weight of 10 South American Sharp-Nosed Frogs 1 kg 
Weight of 10 American Bullfrogs  5 kg
Total weight of bucket, water & frogs!7 kg 500g Or 7 ½ kg11 kg19 kg

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