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Showing posts from February, 2021

Car Firm Charges

A car hire firm charges £35 per day plus 34p per km travelled. A man hired a car for 4 days and travelled 300km. How much did he pay?

Spinning

I turn 40 degrees clockwise, 70 degrees anticlockwise and finally 90 degrees clockwise. If I want to return to my original position by turning through the smallest possible angle, in which direction should I turn and what should the angle be?

Archibald Bertram, Camilla and Daphne

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Four friends, Archibald, Bertram, Camilla and Daphne go on holiday together on the French Riviera. On the first evening at the hotel they sit down to dinner at a square table shown below. Archibald insists that he sits facing South so that he can have a clear view of the Mediterranean Sea, whilst Bertram and Camilla decide to sit next to each other. Show the four possible seating arrangements on the diagrams below. The first one has been done for you.

Singing Steve

On my wall I want to put some stickers of my favourite pop star Singing Steve. The space I have available is 55cm by 60cm and the stickers are each 15cm by 5cm. What is the maximum number of stickers I can fit on the wall?

How many different 3 digit numbers can you make?

How many different 3 digit numbers can you make from the digits 1, 1 and 3? You can use each digit as many times as you like.

Find the two numbers.

Two numbers add to give 500 and multiply to give 47124. What is the difference between the two numbers?

Area and Perimeter

What are the length and width of a rectangle:  1) Whose perimeter is 48 cm and whose width is one half of its length? 2) Whose area is 48 cm, perimeter is 32 cm and length is greater than width? 3) Whose area is 72cm ²  and width is twice its length?

Chickens and Cows

When asked how many chickens and cows he had on his farm Mr Brown refused to answer directly, but he did say that the total number of heads was 30 and the total number of legs was 100. How many of each was there?

Perfect numbers

 28 is called a perfect number because the factors of 28, not including the number 28 itself, add up to 28. 1) Is 6 a perfect number 2) Is 12 a perfect number