Maths Stage 7-8

I KNOW	NUMBER KNOWLEDGE LADDER
STAGE EIGHT	The highest common factor of numbers to 100 (HCF of 24 and 36 is 12) The lowest common  multiples of numbers to 100 (LCM of 8 and 6 is 24) Conversions for fractions to percentages and vice versa (1/8 = 12.5%) Conversions for fractions to decimals and vice versa (9/8 = 1.125) Conversions for decimals to percentage and vice versa (1.125 = 1125%) How to calculate $.. less % ($40, less 10% = 36, 10% of $40 is $4, because 40 divided by 10 is 4, then subtract this number from the total) Simple powers of numbers (2 to the power of 4 = 16, 2³ is 8, 5³ is 125) Divisibility rules for 4, 6, 8 Division of decimals by 10, 100 and 1000 (67.3÷10) Multiplication of decimals by x10, x100, x1000 (4.5x100) Round decimals to the nearest 100, 10, 1, 1/10 or 1/100 (rounding 5234 to the nearest 100 gives 5200) How many tenths, hundredths in numbers up to 3 decimal places (tenths of 45.6=458, hundredths in 9.03=903, thousandths 8.502=8502
STAGE SEVEN	Equivalent fractions of numbers with denominators up to 100 & 1000 (1 and 4 is equivalent to 25 and 100, 250 and 1000) Equivalent fractions for halves, thirds, quarters, fifths and tenths (1/2 = 4/8) Fraction to percentage and vice versa for 1/2, 1/3, 1/4, 1/5, 1/10 Fractions to decimals conversions and vice versa (3/5 = 0.6) Decimals to percentages and vice versa Common multiples of numbers to 10 (e.g.) Prime numbers to 100 Factors of numbers to 100 (e.g. Factors of 24 is 1, 2, 3, 4, 6, 8, 12, 24 ) √ of any number to 100 (√49=7) Squares of any number to 10 Divisibility rules for 2, 3, 5, 9 and 10 Rounding to the nearest whole number  (45.58 =  46) Rounding to the nearest tenth (45.58 =  45,6) Groups of 9s, up to 90 with remainders (89=9 nines, remainder 8) Groups of 6s, up to 60 with remainders (29=4 sixes, remainder 5) ÷ 8 ÷ 7 ÷ 6 Numbers that come before after and between 1000 to 10,000)