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