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MathsWatch Worksheets FOUNDATION Questions and Answers www. mathswatch. com mathswatch uk Clip No Name of clip Place value Ordering Decimals Round to nearest 10 100 etc Reading scales Multiply or divide by powers of 10 Negatives in real life Multiplication and division with negatives Fraction of an amount Square and Cube Numbers Fractions Decimals and Percentages Money questions Shading fractions of rectangles Ordering Fractions Decimals Percentages Estimating answers Place value when...
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Decimals, and Powers of 10 (see note) Adding in whole numbers Number of terms Modifying fractions Divisions of fractions Fractions without decimals, multiples of 100 and smaller (e.g., 1/16, 1/32) Fractions without decimals, multiples of 1000. Multiples of 10 (e.g., 2/16, 1/8) Multiplication modulo 100 (e.g., 4/32, 2/16, 1/2) Decimals with negative sign Multiplying 2 numbers Modifications of decimals Adding up numbers Addition Subtraction Multiplication division Factorials and Decimals of any number (e.g., 18 x 12 = 1,536,479) Multiplication of numbers Factorials and Divisors of any number (e.g. 22 + 7 = 42,854) Calculating times (e.g., 12 x 40 is equal to 50) Question: How many times are there five items in a stack (1, 2, 3, 4, 5) or ten items in a stack (1, 2, 3, 4, 5, 6, 7)? Answer: There are 10 items in a stack. Using Fractions We are all familiar with multiplying numbers from 1 to 100. We use fractions when we multiply together numbers from 10 to 100. The question, how are you supposed to perform this multiplication or division if you don't know fractions? Answer: You use the fraction calculator to show numbers as fractions. To calculate the exact fraction, multiply or divide by the decimal point and the percent column. Fractions, Decimals and Powers of 10 We have already seen that we can multiply or divide by the decimal point and the percent column. To perform a division by fractions, enter the remainder. For example, enter 5/5 into the fraction calculator or 5 divided by 5 There are many ways to perform these calculations. If you are still confused, see our sections on Multiplication, Division by Fractions and Multiplication and Division by Power of 10. Fraction and Decimal Conversions With the decimal point and the percent symbol, convert all numbers to the fraction of the decimal: 5/4 = 1.25 5/3 = .6 1/2 = .37 Note: 1/2 =
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And welcome to video 15 which is a tutorial on Pythagoras and trigonometry this work is aimed at students studying the higher HOA unit three GCSE and in particular for help for students who've previously set the foundation who are trying the higher in this video I'm going to show you all the trigonometry you need to do with right angle triangles, so everything in here is going to do with right angle triangles, but before we do that I just want to give you an overview of triangle trigonometry now there are lots involved in unit 3 with triangle trigonometry, but it depends on okay there are two cases the first case or for right angle triangles if we have right-angled triangles okay right-angled triangles there are two things that usually apply in this case the first thing is Pythagoras's theorem pi or ass and the second thing that applies is sohcahtoa which is a trigonometry okay, and we'll get onto that during this session okay next is for non-right-angled triangles now this video won't cover this, but my next set of videos will but just to you should always be thinking what is upon here so non-right-angled triangles and various rules apply here, but mainly the main rules are the sine rule and the cosine rule, so they're the main four things that are in play if you've got right-angled triangles you should be thinking Pythagoras sohcahtoa if you've got Ron right-angled triangles you should be seeing thinking sine or cosine rule okay this video is all going to be about right angle triangles, so I'm going to remind you of Pythagoras which is a foundation chalk topic you should know that and move on to trigonometry or sohcahtoa and that's a topic you wouldn't have seen before so let's take a look straight away at Pythagoras now I would expect you to know Pythagoras from foundation level Pythagoras's theorem says that, and it is says that we call the side of a right-angled triangle the hypotenuse okay we always call it what's called the hypotenuse okay and if we laid with that say C okay that's always the longest side of a triangle the longest side is always opposite the right angle now the other two sides are what we called the shorter sides we can call them a and B in any order it doesn't really matter Pythagoras said that if you square the hypotenuse you get the squares of the other two sides added together okay, so you might see that written in the formula booklet, or you might see that written in it in textbooks so a squared plus B squared C squared okay i.e. the hypotenuse squared is the sum of the other two sides squared so just to give you an example that's just rubbed out there if I didn't know this side the longer side is opposite the right angle C, but I knew this one was three and this one was four C squared I know is three squared plus four squared okays you work that out 3 squared is 9 4 squared 16, so that's 9 plus 16 you add them together you get 25 now that's C squared it's not C so to get CR square root a square root of 25 which is 5...
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