Download Multiplication: Pitch and Expectation Questions for KS1 and KS2 and more Lecture notes Elementary Mathematics in PDF only on Docsity!
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
Count five hops of two along this number line. What number will you reach? [oral question] How much money is in the money box? KS1 2001 level 2c Ella puts these coins in a box. How much does she put in the box altogether? KS1 2004 level 2c
Recall the doubles of all numbers to at least 10
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
Add these three numbers: five and five and five. KS1 2003 level 2c [oral] There are 10 crayons in each box. 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
What is double seven? Y3 optional test 2003 Mental test level 2 Desi makes cakes with these. Ella makes double the number of cakes. 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 than once. 7 x 5 2 x 8 5 x 2 20 ÷ 2 45 ÷ 5 35 40 10 16 15 9 KS1 1997 level 2a Write the missing number in the box. KS1 2001 level 2b Draw rings around all the multiples of 5 KS1 2005 level 2a Write the missing number in the box. KS1 2002 level 3
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. Y3 optional test 2003 level 2 Match each addition to a multiplication. One is done for you. KS1 2004 level 3 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
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 multiplication correct. KS1 2004 level 2b [oral] Write the missing number in the box. KS1 2002 level 3
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? KS2 2005 Mental test level 3 What is double forty-five? KS2 2000 Mental test level 3 Continue the sequence. Y4 optional test 1998 Paper B level 3 What is twice five hundred and forty? KS2 1999 Mental test level 3 What is double sixty-seven? 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? KS2 2005 Mental test level 4 Multiply seven by six. KS2 2003 Mental test level 4 Multiply eight by seven. KS2 2002 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 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 2002 Paper A level 4 Circle three numbers that add to make a multiple of 10. 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? KS2 1997 Mental test level 3 What is sixty-five multiplied by one hundred? Y4 optional test 2003 Mental test level 4 Circle all the multiples of 10. Y3 optional test Paper B level 3 Write in the missing number. 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)
Write in the missing number. KS2 2002 Paper A level 3 Sarah’s cat eats one tin of this cat food each day. How much does it cost to feed Sarah’s cat for 7 days? Y4 optional test 2003 Paper A level 3 What is thirty multiplied by seven? KS2 2004 Mental test level 3 Write in the missing digit. KS2 1996 Paper A level 4 Calculate 58 × 6. KS2 1998 Paper A level 4 Write in the missing digit. KS2 1995 Paper A level 4 Write in the missing numbers. KS2 2002 Paper A level 3
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? Y5 Optional test 1998 Paper B level 3 Plants are sold in trays of 20. Ivana buys 7 trays of plants. How many plants is this? KS2 2001 Paper B level 3 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 Complete this two digit number so that it is a multiple of
Y4 Optional test 1998 Paper B level 3
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. KS2 1998 Paper A level 4 Work out 32 × 21. Y7 progress test 2003 Paper A level 4 Calculate 47 × 32. Y5 optional test 2003 Paper A level 4 Write in the missing digits to make this correct. KS2 2001 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
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 Write in the missing number. KS2 2002 Paper B level 3 Write in the missing number. 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? KS2 2005 Mental test level 4 [adapted] Multiply seven by nought point six. KS2 2003 Mental test level 4 [adapted] What is nought point three multiplied by four? KS2 2004 Mental test level 5 [adapted] What is nought point eight multiplied by six? Y3 optional test 2003 Mental test level 3 [adapted] What is four multiplied by nought point nine? KS2 2005 Mental test level 4 [adapted] Multiply nought point seven by nine. 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? KS3 2001 Mental test level 4 What is thirty multiplied by thirty? [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? KS2 2000 Mental test level 4 A bag of four oranges costs thirty seven pence. How much do twelve oranges cost? KS2 2000 Mental test level 5 A packet of crisps costs thirty-two pence. Josh buys three packets. How much change does he get from one pound? KS2 2005 Mental test level 4 Two rulers cost eighty pence. How much do three rulers cost? KS3 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. KS2 2003 Paper A level 4 Calculate 31.6 × 7. KS2 2004 Paper A level 5 Write in the missing digit. KS2 1996 Paper A level 4 Write in the missing digit. 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
