YEAR 6 NUMERACY IN THE NEW PRIMARY CURRICULUM FRIDAY 4 TH MARCH – A FRAME PAPER, SAMPLE PAPERS,

THE TESTING PROCEDURE: ARITHMETIC In 2016, children will sit the new national tests for the first time. The introduction of the arithmetic paper is a key change for the Key Stage 2 National Tests (the mental maths test is no longer part of the tests). It is strictly timed, and the demand to answer questions in 30 minutes could be challenging for some. Questions are purely arithmetical with a good proportion coming from the Year 5 and 6 National Curriculum Programme of Study. Children are not allowed to use calculators or concrete apparatus. There is typically one mark per question, but for long multiplication and division questions there are 2 marks awarded for each correct answer and one mark may be awarded if the answer is incorrect but the correct formal method has been used.

SAMPLE QUESTIONS

THE REASONING PAPERS Reasoning is covered in two tests, each consisting of 20 questions. Children will have 40 minutes for each paper. Again, calculators are not permitted. A significant proportion of the content comes from Years 5 and 6 National Curriculum Programme of Study and clearly demonstrates increased expectations. Questions include using simple formulae for algebra, calculating missing angles, calculating the mean and reading roman numerals.

REASONING SAMPLE QUESTIONS

SCORING AND REPORTING Each child’s raw score will be calculated (the total score for the two papers). This will then be converted to a scaled score out of 100. We won’t know until after the 2016 test has been taken what the required standard will be.

YEAR6 EXPECTED STANDARD 2016 – NUMBER AND PLACE VALUE Ma6/2.1a read, write, order and compare numbers up to and determine the value of each digit Ma6/2.1b round any whole number to a required degree of accuracy Ma6/2.1c use negative numbers in context, and calculate intervals across 0 Ma6/2.1d solve number and practical problems that involve all of the above.

ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION Ma6/2.2a multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication Ma6/2.2b 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 Ma6/2.2c divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context Ma6/2.2d perform mental calculations, including with mixed operations and large numbers. Ma6/2.2e identify common factors, common multiples and prime numbers Ma6/2.2f use their knowledge of the order of operations to carry out calculations involving the 4 operations Ma6/2.2g solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why Ma6/2.2h solve problems involving addition, subtraction, multiplication and division Ma6/2.2i use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.

FRACTIONS, DECIMALS AND PERCENTAGES Ma6/2.3a use common factors to simplify fractions; use common multiples to express fractions in the same denomination Ma6/2.3b compare and order fractions, including fractions >1 Ma6/2.3c add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions 6/2.3d multiply simple pairs of proper fractions, writing the answer in its simplest form Ma6/2.3e divide proper fractions by whole numbers Ma6/2.3f associate a fraction with division and calculate decimal fraction equivalents for a simple fraction. Ma6/2.3g identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers are up to three decimal places Ma6/2.3h multiply one-digit numbers with up to 2 decimal places by whole numbers Ma6/2.3i use written division methods in cases where the answer has up to 2 decimal places Ma6/2.3j solve problems which require answers to be rounded to specified degrees of accuracy Ma6/2.3k recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

MEASUREMENT Ma6/3.1a solve problems involving the calculation and conversion of units of measure, using decimal notation up to 2 decimal places where appropriate Ma6/3.1b use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to 3 decimal places Ma6/3.1c convert between miles and kilometres Ma6/3.1d recognise that shapes with the same areas can have different perimeters and vice versa Ma6/3.1e recognise when it is possible to use formulae for area and volume of shapes Ma6/3.1f calculate the area of parallelograms and triangles Ma6/3.1g calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm 3 ) and cubic metres (m 3 ), and extending to other units

PROPERTIES OF SHAPE Ma6/3.2a draw 2-D shapes using given dimensions and angles Ma6/3.2b recognise, describe and build simple 3-D shapes, including making nets Ma6/3.2c compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons Ma6/3.2d illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius Ma6/3.2e recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

POSITION AND DIRECTION Ma6/3.3a describe positions on the full coordinate grid (all 4 quadrants) Ma6/3.3b draw and translate simple shapes on the coordinate plane, and reflect them in the axes.

STATISTICS Ma6/ 4.1a interpret and construct pie charts and line graphs and use these to solve problems Ma6/4.1b calculate and interpret the mean as an average.

ALGEBRA 5a use simple formulae Ma6/2.5b generate and describe linear number sequences Ma6/2.5c express missing number problems algebraically Ma6/2.5d find pairs of numbers that satisfy an equation with two unknowns Ma6/2.5e enumerate possibilities of combinations of 2 variables.

RATIO AND PROPORTION Ma6/2.4a solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts Ma6/2.4b solve problems involving the calculation of percentages and the use of percentages for comparison Ma6/2.4c solve problems involving similar shapes where the scale factor is known or can be found Ma6/2.4d solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.

PAPER EXAMPLES The four operations: See paper examples

WHAT CAN YOU DO TO HELP AT HOME? Complete homework with your child Encourage them to read the ‘lesson’ aspects of their MyMaths tasks. Practice on MyMaths for any aspects of the objectives listed above that they are not confident with Visit for free, printable past SATs papers (please be aware that mental maths is no longer tested and the testing procedure this years will be much harder, however it gives children practice answering some of the types of questions they may get in their reading, SPaG and numeracy reasoning paperswww.satspapers.org Read government guidance found at assessments-2016-sample-materials and ask go through questions with your childhttps:// assessments-2016-sample-materials Encourage your child to revise online and through revision booklets (available through school or at places such as WH Smiths or Waterstones). Some websites which you may find useful are available on our school website

USEFUL WEBSITES (maths practice questions ordered by objective) (option to purchase revision materials) (excellent website with lots of practice questions on) (access to every past SATs paper since 2003) (regular homework set through this online portal)