Whole Numbers

Description

GCSE Maths Flashcards on Whole Numbers, created by bradley kewell on 22/09/2017.
bradley kewell
Flashcards by bradley kewell, updated more than 1 year ago
bradley kewell
Created by bradley kewell over 8 years ago
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Resource summary

Question Answer
Easy Division 963 ÷ 3 321
Medium Division 861 ÷ 3
Hard Division 231 ÷ 3
Multiplication grid 35x26
Division with remainder 230÷8
Adding and subtracting decimals 0.0032 + 32.156 Line up the decimal points 0.0032 32.1560 ----------- 32.1592
Multiplying Decimals 3.25 x 5 Ignore decimal point, calculate using grid method (325x5=1625), then count how many numbers there are after the question (3.25 = 2 numbers), have the same amount of numbers after the decimal place in the answer (16.25).
Dividing decimals 6.21 ÷ 3 ignore decimals. Calculate as normal using bus stop method. Then put in decimal place
Bus shelter method for division which end do you start? Left hand side -------------->
Multiply and divide by multiples of 10 (eg. x 10, x 100 etc) 6.21 ÷ 10 6.21 x 100
x ÷ two negative numbers e.g. -5 x -2 Two negatives make a positive -5 x -2 = 10
x ÷positive and negative numbers e.g. -5 x 2 if the signs don't match = negative -5 x 2 = -10
Adding or subtracting fractions with same denominator (bottom) e.g. 2/8 + 5/8
Adding or subtracting unlike fractions e.g. 1/2 + 1/3 Find a common multiple by multiplying the two denominators. The make equivalent fractions.
Rounding decimals e.g. 3.524 to nearest 10th 3.649 to nearest 100th 1. Find the column e.g. 10th 2. look at number to right to see if this column changes: (5 or above then go up by 1, 4 or less stays the same) 3. ignore any numbers after the column e.g. 3.524 to nearest 10th = 3.5 e.g. 3.649 to nearest 100th = 3.65
Multiplying fractions e.g. 2/5 x 3/4 Multiply the top and the bottom 2 x 3 = 6 5 x 4 = 20 and simplify = 3/10
Adding or subtracting unlike fractions e.g. 1/4 + 2/5
Dividing fractions 2/5 ÷ 3/4 reverse the sign, reverse the fraction change it to x flip the 2nd fraction 2/5 x 4/3
Finding Fraction Parts 3/4 of £20 20 ÷ 4 X 3 (divide by the bottom and times by the top) = £15
Expressing one number as a fraction of another number. 3 as a fraction of 30 write the part over the whole 3/30 and simplify 1/10
Turn top heavy (improper) fraction into mixed numbers e.g. 8/3 Divide top by the bottom = 8 ÷ 3 = 2 (whole number) with remainder 2. Put the remainder over the bottom of the fraction = 2/3 2 2/3
Mixed number to top-heavy fractions 5 2/4 Times the whole number by the bottom of the fraction 5 x 4 = 20 Add the remainder (top part of the fraction) 20 + 2 Put the total over the bottom 22/4
Find %age Part of a number e.g. 37% of £70 Break 37% into parts 1. find 10% of £70: 70 ÷ 10 = 7 2. Find 30%: 10% x 3: 7 x 3 = 21 3. Find 5%: 10% ÷ 2: 7 ÷ 2 = 3.5 4. Find 1% of £70: 70 ÷ 100 = 0.7 5. Find 2%: 1% x 2: 0.7 x 2 = 1.4 Add up 30%, 5% & 2% = £25.90
Find %age after deduction/increase e.g. price was £80, sale is 25% off. What is the price now? Find the saving: 25% of £80 = £20 Take the saving from the original price: £80 - £20 = new price: £60
Express one number as a percentage of another number e.g. express 20 as a %age of 80 Write it as a fraction: 20/80 Turn it into a decimal by solving it: 20 ÷ 80 = 0.25 Turn it into a %age by x 100 0.25 x 100 = 25%
Find 10% of a number e.g. 10% of 85 10% = ÷ 10 85 ÷ 10 = 8.5
Find % increase/decrease e.g. A TV cost £300 but in a sale is now £270. What is the %age saving? Difference ÷ original x 100 (300-270)=30 ÷ 300 = 0.1 x 100 = 10 10% saving
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