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PROBLEM SOLVING 200


Various

[one] I am a prime number. My digits add up to 8. I am a factor of 34, but I am not a factor of 36. So, what number am I?

Hint

[two]I am a factor of 12 and 21. I am a prime number. What number am I?

Hint

[three]Jimmy had $24.00 and he wanted to give all the money to his sister, brother and parents. If he gave each person the same amount, how much money did each person receive?

Hint

[four]The head of a fish is 6cm long. The body is as long as the head and the tail. The tail is half the length of the head. How long is the fish?

Hint

[five] James is the oldest brother by 2 years. Carl is older than Paul. Reggie is the youngest brother. Jaspar is older than Paul. Carl is the third oldest brother. Can you order these brothers from oldest to youngest?

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You need to find out how many times 3 (people) will go into $24.00

Another hint

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A prime number is a number which has no factors except 1 and itself.

Another Hint

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In your list, Carl will be number three.

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You already know how long the head is (6cm). Next, look at the clue which tells you how long the tail is.

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This problem is best set out like this: 24 3 = answer

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The tail is 3cm long.

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This problem can be set out like this: 8 4 = answer

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Remember: you know who the oldest and youngest brothers are. You only need to sort out the order of Carl, Jaspar and James.

Another hint

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You need to remember that there are four people involved in this question.

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The correct factor is in this list:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 21: 1, 3, 7, 21

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This problem can look like this: 8 apples 4 people = answer

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