Key Stage 3 Mathematics Key Facts Level 6

Level 6 Number and Algebra Adding and Subtracting Fractions Finding the nth term

A common multiple of 3 and 11 is 33, so change both fractions to equivalent fractions with a denominator of 33 2 3 11 + = 22 33 6 33 + 28 33 =

A common multiple of 3 and 4 is 12, so change both fractions to equivalent fractions with a denominator of 12 2 3 1 4 - = 8 12 3 12 - 5 12 =

Now try these: 2/3 + 1/8 7/8 – 1/6 2/7 + 1/9 4/9 – 1/5 6/7 – 2/3 2/9 + 1/3 3/8 + 1/10

Find the nth term of this sequence 6 13 20 27 34 How does it compare to the 7 times table? 7 14 21 28 35 7 7 7 7 7 Which times table is this pattern based on? Each number is 1 less nth term = 7n - 1

Find the nth term of this sequence 6 15 24 33 42 How does it compare to the 9 times table? 9 18 27 36 45 9 9 9 9 9 Which times table is this pattern based on? Each number is 3 less nth term = 9n - 3

Now try to find the nth term for these sequences 9 13 17 ……. 13 20 27 …… 8 11 14 …… 7 15 23 31 …..