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Showing posts from February, 2022

Mr Smith

Yesterday, the reading on Mr Smith’s electricity meter was 098157. He was shocked to realise that all six of these digits are different. How many more units of electricity will he use before the next time all the digits are different? 

Compute

 1 + 3 + 5 + 7 + 9 + ……… 99 + 101 Calculator allowed. Only use for a number squared to use optimal method

The Number Tower

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In this number tower the value in each block is the sum of the two below it. What is the value of block T?

Always, Sometimes, Never

Write one of the words “always”, “sometimes” and “never” in the spaces below to make each of the statements correct:  The sum of two odd numbers is ______________ even.  When an odd number is multiplied by an even number the answer is _______________ odd.  The product of two even numbers is ______________ a multiple of four.  When an even number is divided by an even number the answer is _______________ odd.

Ravi and his 2 sisters

Ravi has two sisters, Harsha and Harpreet. He likes to share out his sweets unfairly. One day he gives Harsha twice as many as he gives himself, and he gives Harpreet half as many as he gives himself. If there are 42 sweets in total how many does Ravi get?

How many crates?

A large crate holds twelve cartons of milk whereas a small crate holds only four cartons. I have five large crates and twenty small crates available. What is the smallest number of crates in total that I could use to store 110 cartons of milk?

What angle?

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?

What is the perimter

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  All the long edges of the shape above have the same length and each long edge is twice as long as each short edge. All angles are 90° or 270°. If the area of the figure is 200cm2 , what is the perimeter? e 

A Christmas raffle

Sarah won a large jar of sweets in a Christmas raffle. If there are 486 sweets in the jar and she shares them equally with her 17 classmates, how many do they each get?

John pays

John paid a total of £5.15 for a jar of coffee, a carton of milk and a bag of sugar. The jar of coffee cost £3.69 and the carton of milk cost 89p. How much did the bag of sugar cost

How many?

How many bags of crisps at 16p each can I buy for £2?

Bananas and pears

A shop sells bananas and pears. Max buys 1 banana and 2 pears. He paid 94p. Emily buys 1 banana and 1 pear. She paid 62p. How much does 1 banana cost?

A box of biscuits

A box of biscuits contains 36 biscuits. 20 biscuits have foil wrappers. 15 are chocolate biscuits with foil wrappers. If 9 are not chocolate and do not have a foil wrapper, then how many chocolate biscuits are there?