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Year 6 revision aid Addition and subtraction of 3 and 4 digit numbers Eg 3543 + 5642, 7845 – 3452 Remember to put the numbers into columns according to value, eg hundreds tens units. Multiplication of 3 digit numbers by 1 digit number Eg. 463 x 7 Use the box method to help you remember to multiply each part individually. Division of 3 digit numbers by 1 digit number with and without remainders Eg. 579 ÷ 6 Remember to read the question to find out if the answer should be a remainder or a decimal answer. Then use long division. Understanding fractions as part of a whole Eg. 3 parts of an 8 slice cake = ⅜ Remember that the answer will be a fraction and that the denominator(bottom number) will be the number of slices of cake Cancelling down of basic fractions Eg. 9/12 = ¾ and 5/10 = ?/2 Try and find a common number that we can divide the numerator(top number) and the denominator by Changing improper fractions to mixed numbers and mixed numbers to improper fractions Improper fractions have a numerator that is larger than the denominator: eg 5 = 1 1 4 4 Recognising simple equivalent fractions Eg. ½ = 2/4 = 4/8 = 6/12 Equivalent means the same. The numbers may not be the same but they can cancel down to give the same answer Order of calculations(Bidmas) Brackets( solve any brackets first) Indices(powers, eg 22, 43 etc) Division Multiplication Addition Subtraction Remember to apply BIDMAS to all calculations. It is just telling you which order to solve the problem with. Start at the top and work down Understanding of place value to multiply and divide whole numbers by 10 or 100 Eg. 76 x 100, 560 ÷ 10 Add and subtract decimals to 2 decimal places Eg. 3.06 + 12.1, 13.5 – 1.45 Use column addition to help you with which numbers to add together Round numbers to the nearest 100, 10, 1 and 1 decimal place. Remember that 5 and above rounds up. eg 75.47 rounded to the nearest 10 = 80 to the nearest 1 = 75, to 1 decimal place = 75.5 Being able to fill in the missing gaps in equations Eg. 5 x ? = 45, ? + 4 = 7 Collecting like terms Eg. a + a = 2a, a + b + a + b = 2a + 2b Like terms are terms that are similar. This means they have the same letter, or no letters. Solving simple equations Eg. a + 3 = 7, a = 4 Multiplying out brackets Eg. 2(x + 4) = 2x + 8 Remember to multiply everything inside the bracket by the number outside Substituting numbers into simple equations. Eg if a = 2 and b = 4 what is the value of 2a + b? 2a + b = 2 x 2 + 4 = 8 Adding and subtracting negative numbers Eg 3 – (-2) = 5, 2 + (-1) = 1 Using a protractor to measure and draw angles accurately. Remember to line the cross in the middle of the protractor up with the corner of the angle Bearings Remember the order: NESW North = 0o or 360o East = 90o South = 180o West = 270o Reflecting a shape in a mirror line. Remember that the reflected shape is the opposite of the original Rotating a shape about a set point. Use tracing paper Translating a shape Use the numbers and directions given to move the object