Maths - Foundation

• The ratio of adults to children on a skill trip is 5 to 24.
• The ratio of oranges to apples in a box is four to six, which can be simplified to two oranges for every six apples.
• To increase a number by 35, use a multiplier of 1.35, and to find the original number, divide by the multiplier.
• The lowest possible population of Wales is 11,999, which would Round Up to be 12,000 to the nearest thousand.
• The highest possible population of Wales is 12,001, which would Round Down to be 12,000 at the nearest thousand.
• The population of Wells is 12,000 to the nearest thousand.
• and we're going to draw a line through it and it's going to be a perpendicular line to a b and it's going to pass through the point C and that's it so we've constructed a perpendicular line to a b that passes through the point C.
• The diameter of a circle is the distance across the circle.
• The distance across a circle is measured in centimeters.
• The circumference of a circle is pi times the diameter.
• The circumference of a circle with a diameter of 14 centimeters is calculated as pi times 14 centimeters.
• The more scientists there are, the less time it takes to complete the research, which is inverse proportion.
• If 30 scientists are working on a piece of research, it would take 80 months for them to complete the research.
• Inverse proportion means that as one number gets bigger, the other number gets smaller, represented by the equation Y is equal to K Over X.
• Direct proportion means that as the value for X increases, the value for y increases, represented by the equation Y is equal to KX.
• The distance between Newry and Downpatrick is 30 miles, which is roughly 1.6 kilometers.
• The distance between Yuri and Dan Patrick is 30 miles, which is divided by 5, giving us 6 lots of 5 miles.
• 5 miles is roughly 8 kilometers.
• When using the cube root symbol on a calculator, first press shift, then the square root button, and then the cube root symbol.
• To find the cube root of a number, figure out what number do you multiply by itself and by itself again to get that number.
• Index notation is a method of writing numbers with a power, such as 5 cubed or 2 to the power of 6.
• The cube root symbol is usually located above the square root button on a calculator.
• The cube root of 125 is 5.
• Writing numbers in index form is particularly useful for working with topical products.
• In an isosceles triangle, the two angles of the same length are equal to each other.
• The angles in a quadrilateral add up to 360 degrees.
• The angles on a triangle add up to 180 degrees.
• The angles in a heptagon add up to 900 degrees.
• The angles in an octagon add up to 1080 degrees.
• The angles in a pentagon add up to 540 degrees.
• If you have a power and then another Power, you multiply the powers together.
• If you have a negative index, it's the same as putting one over the base raised to the power of the index.
• If you're dividing, two of the same bases will cancel out, leaving you with the base raised to the power of the remaining number of times it was divided.
• Laws of indices state that if you're multiplying things with the same base, the result is the base raised to the power of the number of times it was multiplied.
• To convert a number to standard form, multiply it by 10 to the power of 1 and divide by 10 to the power of 9.
• To find four fifths of an amount, divide by the denominator and multiply by the numerator, where the denominator is five.
• To find one third of an amount, divide by the denominator and multiply by the numerator, where the denominator is three.
• To divide a large number by a very small number, first divide the large number by a number between 1 and 10, then divide the remainder by the small number.
• To find a fraction of an amount, divide by the denominator and multiply by the numerator.
• To find 60 of 800, divide by 2 and add 10%.