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Perplexing problems 1.

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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

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

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

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

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