The Imps Who Lived Beneath Jack’s Beanstalk

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Beneath Jack’s beanstalk lived a family of imps. They only came out in the sunshine, when the weather was fine. But, of course, they were great at having an impish good time. The imps liked shrimps – which they ate every day. No wonder they had dimples, which twitched magic when they smiled, some say. The Chief Imp was two inches than all the others – second in charge was his brother. The imps collected mushrooms for Jack – can you work out how many would fit in their sack ?

 

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Not Much Room For Mushrooms Game

1. Each sack could contain a weight of 100 kg. If one mushroom weighed 5 grams, how many could fit in the imp’s sack ?

2. One mushroom was one – twentieth of the size of Jack’s beanstalk, which was 5 metres high when planted. How big was the mushroom ?

3. The mushroom that was biggest of all, was 20 % of the size of the beanstalk that grew up the wall – if the shoot was one thousand centimetres tall, how big was the mushroom ?

4. The mushroom that was smallest, was 0.2 of the size of the tallest. How big was the mushroom ?

5. The mushroom that grew the fastest, grew at a pace of 2cm per day – how big was it after a week ?

6. If one mushroom weighed 2.5 grams, how many could a half kilogram crate carry ?

7. There were 50 imps, each with a sack containing weighing 1 kilogram. If one mushroom weighed 2.5 grams,

a) How many mushrooms did one imp carry per sack ?

b) How many mushrooms did all the imps carry in all the sacks in total ?

8. Work out the cubic volume of one crate which measured 25 wide x 25 cm high x 50 long.

9. If, roughly speaking one mushroom measured 2.5 cm wide x 2.5 cm high x 5 cm long, how many mushrooms would fit inside one crate ?

10. An imp carried a sack, which when full of mushrooms, weighed 2

kilograms. But whoops ! 10 % accidentally fell out. If one mushroom

weighed 2 grams,

a) What weight of mushrooms fell out of the sack ?

b) What weight of mushrooms remained in the sack ?

c) How many mushrooms fell out ?

d) How many mushrooms remained in the sack ?

e) Express this as a ratio mushrooms fallen from the sack : mushrooms

remaining.

© Jacqueline Richards 2007

Answers :1. 100 / 5 = 20

2. 500 / 20 = 25 cm

3. 1000 / 100 x 20 = 200 cm

4. 200 / 10 x 2 = 40 cm

5. 2 x 7 = 14 cm

6. 500 / 2.5 = 200

7. a) 1000 / 2.5 = 400 b) 50 000 / 2.5 = 20,000 (another way of working this out may be 400 x 50 = 20,000)

8. 25 x 25 x 50 = 31, 250 cm 3

9. (25 x 25 x 50 = 31, 250 cm 3) / (2.5 x 2.5 x 5 = 31.25) = 1000

10. a) 2000 / 100 x 10 = 200 grams ; b) 2000 – 200 = 1800 grams = 1.8 kg ; c) 200 / 2 = 100 mushrooms ; d) 1800 / 2 = 900 mushrooms ; e) 100 : 900 = 1 : 9

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