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A square based pyramid with corners ABCD has side length 6 cm. The distance from the centre of the square (C) to the top vertex of the pyramid (V) is 4 cm. Work out the total surface area of the pyramid.

The first thing I would do with this question is to draw it out to help visualise the shape.From this drawing you can see that the shape has 4 triangle shaped faces (let's call this triangle T1) and 1 squ...

Answered by Matthew E. • Maths tutor

4488 Views

You have a five-litres jug, a three-litres jug, and unlimited supply of water. How would you come up with exactly four litres of water (with no measuring cup)?

You fill the 5-litres jug, and pour it into the 3-litres jug until it's full (now you have 2 litres in the 5-litres jug). Then, you pour out the 3-litres jug completely. Now, you pour the 2 litres from th...

Answered by Diana G. • Maths tutor

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There are 10 boys and 20 girls in a class. The class has a test. The mean mark for all the class is 60. The mean mark for the girls is 54. Work out the mean mark for the boys

Find the total number of people in the class 10+20=30
find the total number of marks achieved by the class 60x30=1800
since the mean mark for the girls is 54, you can work out the total marks ac...

Answered by Dessi T. • Maths tutor

3312 Views

Solve 10x - 7 = 4x + 5

Firstly, we want to gather similar terms. This means that we want to rearrange the equation so that all the x terms are on one side of the = sign and all the constants (the "ordinary" numbers) a...

Answered by Mary O. • Maths tutor

3954 Views

Prove that the square of an odd integer is odd.

Let n be an odd integer. This means that n is 1 more than an even integer. By definition, even integers are multiples of 2 so all even integers can be written in the form 2m where m is an integer. Therefo...

Answered by Mary O. • Maths tutor

2991 Views