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Square any number between 1-15 and cube any number between 1-10.
Find the missing angle in a triangle.
Simplify (linear) algebraic expressions.
Add decimal numbers.
Find a fraction of a number.
Find a percentage of a number.
Write a number as a percentage of another number.
Substitute values into (linear) algebraic expressions and find the answer.
Work out the input value of a number machine problem by working it backwards.
Solve simple algebraic equations.
Add and subtract fractions.
Must be able to learn how to do one of the above tasks.
Should be able to learn how to do two of the above tasks.
Could be able to learn how to do three of the above tasks.
How to
How to square any number between 1-15 and cube any number between 1-10;
To square - multiply the number by itself, eg 102 = 10 ( 10.
To cube multiply the number by itself twice, eg 103 = 10 ( 10 ( 10.
How to find the missing angle in a triangle;
Add together all the angles that you are given and take this total away from 180(.
How to simplify (linear) algebraic expressions;
Collect up all the like terms, eg 3a + 4b - 2a + b = a + 5b (because 3a - 2a = a and
4b + b = 5b).
How to add decimal numbers;
Write all the numbers as a vertical list of numbers taking care to line up all the decimal points and draw a line underneath the bottom number.
Insert zeros into the columns to fill any gaps.
Insert a decimal point underneath the line and vertically below the other decimal points.
Add vertically
How to find a fraction of a number;
Divide the whole number by the number on the bottom of the fraction (which is called the denominator) then multiply this result by the number on the top of the fraction (the numerator).
See also, finding a percentage of a number.
How to find a percentage of a number;
Find 10% of the given number by dividing it by 10 and then multiply up to get the percentage required.
See also, finding a fraction of a number
How to write a number as a percentage of another number;
Use both numbers to write a fraction which has the first number on the top (as the numerator) and the second number on the bottom (as the denominator).
Multiply up to create an equivalent fraction with 100 as the denominator.
The numerator of this fraction is your percentage.
How to substitute values into (linear) algebraic expressions and find the answer;
Insert the given value into the equation in place of the letter that it is equal to.
Multiply the value by the number immediately in front of it and add, or subtract, the other number.
How to work out the input value of a number machine problem by working it backwards;
Write down, in order, the operations that are being done. eg for triple and number and then add 6, write down (3, +6.
Use the answer and do the reverse of these operations, in the opposite order. Eg for the example above do -6, (3.
Check that your answer makes sense by doing the forward operations to it.
See also, solving simple algebraic equations.
How to solve simple algebraic equations;
Write down, in order, the operations that are being done in the equation. eg for 5x+2, write down (5, +2.
Use the answer and do the reverse of these operations, in the opposite order. Eg for the example above do -2, (5.
Check that your answer makes sense by doing the forward operations to it.
See also, working out the input value of a number machine problem.
How to add and subtract fractions;
Find the lowest common multiple of the denominators and multiply up to rewrite both fractions as equivalent fractions each with this number on the bottom.
Add, or subtract, the top numbers only.
Simplify (cancel down) if possible.
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