KS2 Maths Arithmetic Syllabus

Here you can find example questions covering the KS2 Maths Arithmetic Syllabus. You can also try a demo test to get a better understanding of how BOFA works. The syllabus has been taken from the National Curriculum.

Component	Strand	Sub-strand	Year 3 NC Ref / Description	Year 4 NC Ref / Description	Year 5 NC Ref / Description	Year 6 NC Ref / Description
Number	Calculations: Addition, subtraction, multiplication and division	Add / subtract using written methods	3C2 Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction	4C2 Add and subtract numbers with up to four digits, using formal written methods of columnar addition and subtraction	5C2 Add and subtract numbers with more than four digits, using formal written methods of columnar addition and subtraction
Number	Calculations: Addition, subtraction, multiplication and division	Multiply / divide using written methods	3C7 Write and calculate mathematical statements for multiplication and division using the multiplication tables that children know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods	4C7 Multiply two-digit and three-digit numbers by a one-digit number using formal written layout	5C7a Multiply numbers up to 4 digits by a one-or two-digit number using a formal written method, including long multiplication for two-digit numbers	6C7a Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
Number	Calculations: Addition, subtraction, multiplication and division	Multiply / divide using written methods			5C7b Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context	6C7b Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
Number	Calculations: Addition, subtraction, multiplication and division	Order of operations				6C9 Use their knowledge of the order of operations to carry out calculations involving the four operations
Number	Fractions, decimals and percentages	Add / subtract fractions	3F4 Add and subtract fractions with the same denominator within one whole [eg: 5/7 + 1/7 = 6/7]	4F4 Add and subtract fractions with the same denominator	5F4 Add and subtract fractions with the same denominator and denominators that are multiples of the same number	6F4 Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
Number	Fractions, decimals and percentages	Multiply / divide fractions			5F5 Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams	6F5a Multiply simple pairs of proper fractions, writing the answer in its simplest form [eg: 1/4 × 1/2 = 1/8]
Number	Fractions, decimals and percentages	Multiply / divide fractions				6F5b Divide proper fractions by whole numbers [eg: 1/3 ÷ 2 = 1/6]
Number	Fractions, decimals and percentages	Multiply / divide fractions		4F9 Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths		6F9a Identify the value of each digit to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places
Number	Fractions, decimals and percentages	Multiply / divide decimals				6F9b Multiply one-digit numbers with up to two- decimal places by whole numbers
Number	Fractions, decimals and percentages	Multiply / divide decimals				6F9c Use written division methods in cases where the answer has up to two-decimal places
Number	Fractions, decimals and percentages	Add / subtract decimals	3F10 Solve problems that involve 3F1–3F4 Solve decimals to one decimal place	4F10b Solve simple measure and money problems involving fractions and decimals to two decimal places	5F10 Solve problems involving numbers up to three decimal places
Number	Ratio and proportion	Percentage of quantities				6R2 Solve problems involving the calculation of percentages (eg: of measures such as 15% of 360) and the use of percentages for comparison