Reception to yr 1 Count repeated groups of the same size Count these pairs of socks. How many pairs are there? How many socks are there altogether? How many buttons are there on this coat? Count them in twos. Count them in fives. Count the eggs in this egg box. Count the pairs of animals on the Ark. There are five paintbrushes in each jar. Count the paintbrushes. Year 1 Count on or back in ones, twos, fives and tens and use this knowledge to derive the multiples of 2, 5 and 10 to the tenth multiple How much money is in the money box? Ella puts these coins in a box. Count five hops of two along this number line. What number will you reach? [oral question] KS1 2001 level 2c Recall the doubles of all numbers to at least 10 How much does she put in the box altogether? KS1 2004 level 2c What is four add four? [oral question] What is double six? [oral question] Solve practical problems that involve combining groups of 2, 5 or 10, or sharing into equal groups There are 10 crayons in each box. Add these three numbers: five and five and five. KS1 2003 level 2c [oral] How many crayons are there altogether? KS1 2000 level 2c
Year 2 Understand that halving is the inverse of doubling and derive and recall doubles of all numbers to 20, and the corresponding halves Desi makes cakes with these. Ella makes double the number of cakes. What is double seven? Y3 optional test 2003 Mental test level 2 Write the missing numbers Derive and recall multiplication facts for the 2, 5 and 10 times-tables and the related division facts; recognise multiples of 2, 5 and 10 Match each one to an answer. You may use an answer more Write the missing number in the box. than once. 35 7 x 5 40 KS1 2001 level 2b 2 x 8 5 x 2 20 2 45 5 10 16 15 Draw rings around all the multiples of 5 KS1 2005 level 2a Write the missing number in the box. 9 KS1 2002 level 3 KS1 1997 level 2a Represent repeated addition and arrays as multiplication, and sharing and repeated subtraction (grouping) as division; use practical and informal written methods and related vocabulary to support multiplication and division, including calculations with remainders Look at each number sentence. Put a tick ( ) if it is correct. Put a cross ( ) if it is not correct. Match each addition to a multiplication. One is done for you. Y3 optional test 2003 level 2 There are 4 apples in each pack. Mrs Pullen buys 3 packs of apples. How many apples does she buy? KS1 2001 level 2b Alex buys 6 packets of stickers. There are 5 stickers in each packet. How many stickers does he buy? KS1 1999 level 2a KS1 2004 level 3 Use the symbols +,,, and = to record and interpret number sentences involving all four operations; calculate the value of an unknown in a number sentence (e.g. 2 = 6, 30 = 24) Write the same number in each triangle to make the Write the missing number in the box. multiplication correct. KS1 2004 level 2b [oral] KS1 2002 level 3
Year 3 Derive and recall multiplication facts for the 2, 3, 4, 5, 6 and 10 times-tables and the corresponding division facts; recognise multiples of 2, 5 or 10 up to 1000 What is three multiplied by nine? Multiply five by nine. Y4 optional test 1998 Mental test level 3 Multiply eight by four. Y4 optional test 2003 Mental test level 3 What is four multiplied by five? Y5 optional test 1998 Mental test level 3 KS2 2001 Mental test level 3 What is three times three added to four times four? KS2 2003 Mental test level 3 What is four multiplied by nine? KS2 2005 Mental test level 4 Multiply seven by six. KS2 2003 Mental test level 4 Multiply one-digit and two-digit numbers by 10 or 100, and describe the effect What is fifty-six multiplied by ten? KS2 1997 Mental test level 3 Write the answer. What is sixty-five multiplied by one hundred? Y4 optional test 2003 Mental test level 3 Write what the missing numbers could be. Y4 Optional test Paper A level 3 Write the missing number in the box. Y4 optional test 2003 Paper A level 3 Harry multiplied two numbers together. His answer was 120. Which two numbers could he have multiplied together? KS1 2001 level 2b KS1 2004 level 3 Use practical and informal written methods to multiply and divide two-digit numbers (e.g. 13 3, 50 4); round remainders up or down, depending on the context Calculate A bus ticket costs 25p. How much will 5 of these tickets cost? Y3 optional test 2003 Paper A level 3 Write the answer. KS1 1998 level 3 Nutty lollies cost 35p each. How much do 3 Nutty lollies cost? KS1 2005 level 3 Ella s dad washes some cars. He uses 12 buckets of water. Each bucket has 5 litres of water. How many litres of water does he use altogether? KS1 2004 level 2a KS1 1997 level 3 [adapted] It costs 75p for a child to go swimming. How much does it cost for 2 children? KS1 1998 level 3 [adapted]
Year 4 Identify the doubles of two-digit numbers; use these to calculate doubles of multiples of 10 and 100 and derive the corresponding halves What is double thirty-four? What is double forty-five? KS2 2005 Mental test level 3 Continue the sequence. KS2 2000 Mental test level 3 What is twice five hundred and forty? KS2 1999 Mental test level 3 What is double sixty-seven? Y4 optional test 1998 Paper B level 3 Y5 optional test 2003 Mental test level 3 Derive and recall multiplication facts up to 10 10, the corresponding division facts and multiples of numbers to 10 up to the tenth multiple What is four multiplied by nine? Multiply seven by six. KS2 2005 Mental test level 4 Multiply eight by seven. KS2 2002 Mental test level 4 What is eight multiplied by six? Y3 optional test 2003 Mental test level 3 Circle all the multiples of 8 in this list of numbers. KS2 2003 Mental test level 4 Leila puts 4 seeds in each of her pots. She uses 6 pots and has 1 seed left over. How many seeds did she start with? KS2 2004 Paper A level 3 Circle three numbers that add to make a multiple of 10. KS2 2002 Paper A level 4 KS2 2005 Paper A level 3 Multiply and divide numbers to 1000 by 10 and then 100 (whole number answers), understanding the effect; relate to scaling up or down What is fifty-six multiplied by ten? What is sixty-five multiplied by one hundred? KS2 1997 Mental test level 3 Circle all the multiples of 10. Y4 optional test 2003 Mental test level 4 Y3 optional test Paper B level 3 Y4 Optional test 1998 Paper A level 4
Year 4 continued Develop and use written methods to record, support and explain multiplication and division of two-digit numbers by a one-digit number, including division with remainders (e.g. 15 9, 98 6) Sarah s cat eats one tin of this cat food each day. KS2 2002 Paper A level 3 What is thirty multiplied by seven? KS2 2004 Mental test level 3 Write in the missing digit. How much does it cost to feed Sarah s cat for 7 days? KS2 1996 Paper A level 4 Calculate 58 6. Y4 optional test 2003 Paper A level 3 Write in the missing digit. KS2 1998 Paper A level 4 Write in the missing numbers. KS2 2002 Paper A level 3 KS2 1995 Paper A level 4 Use a calculator to carry out one-step and two-step calculations involving all four operations; interpret the display correctly in the context of money. Apples are sold in packets of 4 at the supermarket. How many apples are in 72 packs? Plants are sold in trays of 20. Ivana buys 7 trays of plants. How many plants is this? Y5 Optional test 1998 Paper B level 3 KS2 2001 Paper B level 3 Complete this two digit number so that it is a multiple of 6. There are 2 adults and 3 children in a family. How much does it cost the family to go on the ferry? KS2 1996 Paper B level 3 Y4 Optional test 1998 Paper B level 3
Year 5 Use knowledge of place value and addition and subtraction of two-digit numbers to derive sums and differences, doubles and halves of decimals, e.g. 6.5 ± 2.7, half of 5.6, double 0.34 What is double fifteen point five? KS2 2001 Mental test level 4 Recall quickly multiplication facts up to 10 10, use them to multiply pairs of multiples of 10 and 100; derive quickly corresponding division facts What is thirty multiplied by seven? Write in the missing numbers. KS2 2004 Mental test level 3 Multiply sixty by fifty. KS2 1998 Mental test level 4 KS2 2002 Paper A level 3 KS2 2001 Paper A level 4 Y3 optional test Paper A level 3 Identify pairs of factors of two-digit whole numbers and find common multiples, e.g. for 6 and 9 Write in the missing numbers in this multiplication grid. Extend mental methods for whole-number calculations, for example to multiply a two-digit by one-digit number (e.g. 12 9), to multiply by 25 (e.g. 16 25), to subtract one near-multiple of 1000 from another (e.g. 6070 4097) One orange costs nineteen pence. How much will three oranges cost? What is twenty-one multiplied by nine? Y4 optional test 2003 Mental test level 3 One orange costs fifteen pence. How much would five oranges cost? KS2 2000 Mental test level 4 What is twenty-five multiplied by eight? Y4 optional test 1998 Mental test level 4 An apple costs seventeen pence. How much will three cost? Y4 optional test 1998 Mental test level 4 What is twelve multiplied by twenty-five? Y4 optional test 1999 Mental test level 4 A fruit pie costs fifty-five pence. What is the cost of three fruit pies? KS2 2001 Mental test level 4 KS2 2004 Mental test level 4 Use understanding of place value to multiply and divide whole numbers and decimals by 10, 100 or 1000 Multiply thirty-one by ten. KS3 2003 Mental test level 4 Write the letter of the card that is ten times as big as 73 one thousand times as big as 73 What is six point two multiplied by one thousand? KS3 2005 Mental test level 5 Y7 optional test Paper A level 4
Year 5 continued Refine and use efficient written methods to multiply and divide HTU U, TU TU, U.t U, and HTU U Calculate 549 6. Work out 32 21. KS2 1998 Paper A level 4 Calculate 47 32. Y7 progress test 2003 Paper A level 4 Write in the missing digits to make this correct. Y5 optional test 2003 Paper A level 4 There are 12 pencils in a box. A school buys 24 4 boxes. How many pencils does the school buy? KS2 1997 Paper A level 4 KS2 2001 Paper A level 4 Use a calculator to solve problems, including those involving decimals or fractions, e.g. find ¾ of 150g; interpret the display correctly in the context of measurement Write in the missing numbers. KS2 2003 Paper B level 3 KS2 2002 Paper B level 3 KS2 2001 Paper B level 3 102 people came to the sale and paid 15p each to go in. How much money was collected at the entrance? Y4 optional test 1998 Paper B level 3
Year 6 Use knowledge of place value and multiplication facts to 10 10 to derive related multiplication and division facts involving decimals, e.g. 0.8 7, 4.8 6 What is nought point four multiplied by nine? Multiply seven by nought point six. KS2 2005 Mental test level 4 [adapted] What is nought point three multiplied by four? KS2 2004 Mental test level 5 [adapted] What is four multiplied by nought point nine? KS2 2003 Mental test level 4 [adapted] What is nought point eight multiplied by six? Y3 optional test 2003 Mental test level 3 [adapted] Multiply nought point seven by nine. KS2 2005 Mental test level 4 [adapted] KS2 1999 Mental test level 4 [adapted] Use knowledge of multiplication facts to derive quickly squares of numbers to 12 12 and the corresponding squares of multiples of 10 What is five squared? What is thirty multiplied by thirty? KS3 2001 Mental test level 4 [oral question] Calculate mentally with integers and decimals: U.t ± U.t, TU U, TU U, U.t U, U.t U What is four multiplied by three point five? A bag of four oranges costs thirty seven pence. How much do twelve oranges cost? KS2 2000 Mental test level 4 A packet of crisps costs thirty-two pence. Josh buys three packets. How much change does he get from one pound? KS2 2000 Mental test level 5 Two rulers cost eighty pence. How much do three rulers cost? KS3 2005 Mental test level 4 KS2 2005 Mental test level 4 Use efficient written methods to add and subtract integers and decimals, to multiply and divide integers and decimals by a one-digit integer, and to multiply two-digit and three-digit integers by a two-digit integer Calculate 2307 8. Calculate 31.6 7. KS2 2003 Paper A level 4 Write in the missing digit. KS2 2004 Paper A level 5 Write in the missing digit. KS2 1996 Paper A level 4 KS2 1995 Paper A level 4 Use a calculator to solve problems involving multi-step calculations Emma saves 3.50 each week. How much has she saved after 16 weeks? Y5 optional test Paper B level 4 Sima thinks of a number. She divides it by 12. Her answer is 26. What is the number Sima thinks of? KS2 1998 Paper B level 5