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 End of Year 8 Students will mostly be able to: Say the number one-thousandths, one hundredth, one-tenth, one, ten etc. before and after any given number
eg: a tenth more than 1.2 is 1.3
eg: a hundredth less than 1.2 is 1.19

Order mixed fractions including halves, thirds, quarters, fifths & tenths
eg: 5/3      2/10     3/4      1/2 reorders to   2/10     1/2      3/4       5/3

Know equivalent fractions for halves, thirds, quarters, fifths & tenths with denominators up to 100 and up to 1,000 eg: 1 in 4 is equivalent to 25 in 100 or 250 in 1,000 eg: 1/5 = 2/10 = 20/100 = 200/1,000

Know groupings of ten, one hundred and one thousand that can be made from a number of up to seven digits
eg: 3,456,789 = 345,678 tens
eg: 5,546,120 = 55,461 hundreds

Instantly answer questions about conversions between decimals, fractions and percentages for halves, thirds, quarters, fifths and tenths
eg: 3/4 = 0.75 = 75%
eg: ½ = 0.5 = 50%

Use divisibility rules for 2, 3, 5, 9, 10
eg: 471 is divisible by 3 since 4+7+1=12 and 12 can be divided by 3

Identify factors of numbers to 100, including prime numbers
eg: factors of 35 = 1, 5, 7, 35
eg: factors of 36 = 1,2,3,4,6,9,12,18,36
Find common multiples of numbers to 10
eg: Common multiples of 3 & 7 are 21, 42, 63, 84 ...

Make simple conversions between units, using decimals eg: Sort two and three-dimensional shapes into classes, considering the relationships between the classes and justifying the decisions made eg: Express as fractions the likelihoods of outcomes for situations involving chance, checking for consistency between experimental results and models of all possible outcomes eg: 