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Madbag Task Original Task Extension Ideas Task 1 Task 2 Task 3 Task 4 Task 5 Task 6 Task 7 Task 8 Task 9 Task 10 NC Level 5 to 8

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Page 1: Madbag Task Original Task Extension Ideas Task 1Task 2 Task 3Task 4Task 5Task 6 Task 7Task 8Task 9Task 10 NC Level 5 to 8

Madbag Task

Original Task

Extension Ideas

Task 1 Task 2

Task 3 Task 4 Task 5 Task 6

Task 7 Task 8 Task 9 Task 10

NC Level 5 to 8

Page 2: Madbag Task Original Task Extension Ideas Task 1Task 2 Task 3Task 4Task 5Task 6 Task 7Task 8Task 9Task 10 NC Level 5 to 8

Madbag Original

A bag contains only red counters and blue counters.

There are 90 red counters in the bag.

The probability of choosing a red counter from the bag is 0.3

How many blue counters are in the bag?

Home

Page 3: Madbag Task Original Task Extension Ideas Task 1Task 2 Task 3Task 4Task 5Task 6 Task 7Task 8Task 9Task 10 NC Level 5 to 8

EasierGive the total number of counters and ask how many redsUse simple fractionsReduce the number of counters

VariationChange the number of countersChange the decimalChange the probability to a percentageGive the probability as a ratioIn words: Twice a likely to get pick a blue or red:blue = 2:1Add an extra colour and give the probabilities of two of themGive the numbers of counters and ask them to find the probability

ExtensionWhat is the probability of selecting two blues with/without replacement

Madbag

Home

Page 4: Madbag Task Original Task Extension Ideas Task 1Task 2 Task 3Task 4Task 5Task 6 Task 7Task 8Task 9Task 10 NC Level 5 to 8

Madbag 1

A bag contains only red counters and blue counters.

There are 120 counters in the bag.

The probability of choosing a red counter from the bag is 0.3

How many red counters are in the bag?

Change the number of countersChange the probabilityUse fractions or percentages

Home

Page 5: Madbag Task Original Task Extension Ideas Task 1Task 2 Task 3Task 4Task 5Task 6 Task 7Task 8Task 9Task 10 NC Level 5 to 8

Madbag 2

A bag contains only red counters and blue counters.

There are 150 counters in the bag.

The probability of choosing a red counter from the bag is 0.3

How many blue counters are in the bag?

Change the number of countersChange the probabilityUse fractions or percentages

Home

Page 6: Madbag Task Original Task Extension Ideas Task 1Task 2 Task 3Task 4Task 5Task 6 Task 7Task 8Task 9Task 10 NC Level 5 to 8

Madbag 3

A bag contains only red counters and blue counters.

There are 90 red counters in the bag.

The probability of choosing a red counter from the bag is 0.3

How many blue counters are in the bag?

Change the number of countersChange the probabilityUse fractions or percentages

Home

Page 7: Madbag Task Original Task Extension Ideas Task 1Task 2 Task 3Task 4Task 5Task 6 Task 7Task 8Task 9Task 10 NC Level 5 to 8

Madbag 4

A bag contains only red, blue and green counters.

There are 120 counters in the bag.

The probability of choosing a red counter is ¼ and the probability of choosing a blue counter is 0.2

How many green counters are in the bag?Change the number of countersChange the number of coloursChange the probabilities

Home

Page 8: Madbag Task Original Task Extension Ideas Task 1Task 2 Task 3Task 4Task 5Task 6 Task 7Task 8Task 9Task 10 NC Level 5 to 8

Madbag 5

A bag contains only red, blue and green counters.

There are 80 blue counters in the bag.

The probability of choosing a red counter is ¼ and the probability of choosing a blue counter is 0.2

How many green counters are in the bag?Change the number of countersChange the number of coloursChange the probabilities

Home

Page 9: Madbag Task Original Task Extension Ideas Task 1Task 2 Task 3Task 4Task 5Task 6 Task 7Task 8Task 9Task 10 NC Level 5 to 8

Madbag 6

A bag contains only red, blue and green counters.

There are 60 blue counters in the bag.

The probability of choosing a red counter is ¼ and the probability of choosing a green counter is 1/3

How many red counters are in the bag?Change the number of countersChange the number of coloursChange the probabilities

Home

Page 10: Madbag Task Original Task Extension Ideas Task 1Task 2 Task 3Task 4Task 5Task 6 Task 7Task 8Task 9Task 10 NC Level 5 to 8

Madbag 7

A bag contains only red and green counters.

There are 80 counters in the bag.

The probability of choosing a red counter is 0.4

If you select a counter and replace it and then select a second counter, what is the probability that you have two red counters?

Change the number of countersChange the number of coloursChange the probabilities

Home

Page 11: Madbag Task Original Task Extension Ideas Task 1Task 2 Task 3Task 4Task 5Task 6 Task 7Task 8Task 9Task 10 NC Level 5 to 8

Madbag 8

A bag contains only red and green counters.

There are 60 counters in the bag.

The number of red counters is 15

If you select a counter and replace it and then select a second counter, what is the probability that you have two green counters?

Change the number of countersChange the number of coloursChange the probabilities

Home

Page 12: Madbag Task Original Task Extension Ideas Task 1Task 2 Task 3Task 4Task 5Task 6 Task 7Task 8Task 9Task 10 NC Level 5 to 8

Madbag 9

A bag contains only red and green counters.

There are 80 counters in the bag.

The probability of choosing a red counter is 0.4

If you select a counter and don’t replace it and then select a second counter, what is the probability that you have two red counters?

Change the number of countersChange the number of coloursChange the probabilities

Home

Page 13: Madbag Task Original Task Extension Ideas Task 1Task 2 Task 3Task 4Task 5Task 6 Task 7Task 8Task 9Task 10 NC Level 5 to 8

Madbag 10

A bag contains only red and green counters.

There are 60 counters in the bag.

The ratio of red to green counters = 2:3

If you select a counter and don’t replace it and then select a second counter, what is the probability that you have two green counters?

Change the number of countersChange the number of coloursChange the probabilities

Home


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