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Perplexing problems 1. What’s the number? It has 3 digits It is a multiple of 11 All the digits are odd The sum of its digits is a square number Answer: 979

Perplexing problems 1. What’s the number? It has 3 digits It is a multiple of 11 All the digits are odd The sum of its digits is a square number

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Perplexing problems 1.

What’s the number?It has 3 digitsIt is a multiple of 11All the digits are oddThe sum of its digits is a square number

Answer: 979

Perplexing problems 2.

How many go by bus? In a school of 1200 pupils, 580 are girls. One third of the pupils travel to school by

bus 462 boys do not go by bus How many girls do go by bus?

Answer: 242

Perplexing problems 3.

How many altogether? Sam and Ben collect marbles Sam tells Ben, “If you give me 5 marbles I’ll

have twice as many as you.” Ben says, “If you give me 4 we would have the

same number”. How many marbles were there altogether?

Answer: 54

Perplexing problems 4.

What number was the middle house? Five houses next door to each other were on

the odd side of the road. They were all 2-digit numbers, and in ascending

order The fourth one was the only prime number What number was the middle house?

Answer: 95

Perplexing problems 5.

How much altogether? Ann, Bob and Carol are counting their money Ann and Bob together have £5.98 Bob and Carol together have £6.47 Ann and Carol together have £8.51 How much do they have altogether?

Answer: £10.48