Download KS1 and KS2 Mathematics: Division and Multiplication Facts and more Study notes Elementary Mathematics in PDF only on Docsity!
Reception to yr 1
Share objects into equal groups and count how many in each group
Share these pencils equally between Asif and Ben. How many pencils will each of them get. (^) How many children can have two squares of this chocolate?
Put half of these ten animals in the ark. How many of the animals are in the ark?
Year 1
Recall the doubles of all numbers to at least 10
When I doubled a number, the answer was eighteen. Which number did I double?
KS1 2001 level 2b [oral]
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]
Four children share these shells. They each get the same number of shells.
How many shells does each child get? KS1 2005 level 2c
There are 10 crayons in each box.
How many crayons are there altogether?
KS1 2000 level 2c
How many pairs of socks are there?
KS 1 2000 level 2b
How many coins make 20p?
KS1 2005 level 2b
Understand that halving is the inverse of doubling and derive and recall doubles of all numbers to 20,
and the corresponding halves
There are thirty children in a classroom. Half of them are girls. How many are boys?
KS1 1997 level 2b [oral, adapted]
At the shop, all packets of crisps cost the same. Hannah buys 2 packets. She pays 40 pence. How much does one packet cost? KS1 2002 level 2c [oral] When I doubled a number, the answer was 18. Which number did I double?
KS1 2001 level 2b [oral]
Mina has thirty-two stickers. She gives half to her brother. How many stickers does she give him? Y3 optional test 2003 Mental test level 2
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
KS 1 1997 level 2a^9
Write the missing number in the box. × 5 = 50 KS1 2001 level 2b Write the missing number in the box. ÷ 2 = 7 KS1 2001 level 3 Write the answer. 45 ÷ 5 = 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
Some children share 12 strawberries. Each child gets 3 strawberries.
How many children are there?
Y3 optional test 2003 level 2
John puts these apples in bags.
He puts 5 apples in each bag. How many apples will be left over? KS1 1997 level 2b Ella has 12 counters. She puts them into threes like this.
How many threes can she make altogether? She puts the same number of counters into fours. How many fours can she make altogether?
KS1 2004 level 2b
23 children are coming to John’s party. Each child will get 1 ice cream. There are 10 ice creams in a box. How many boxes does John need to buy? KS1 2001 level 2a There are 20 eggs. A box holds 6 eggs. How many boxes are needed to hold all the eggs? KS1 2000 level 2a Desi needs 18 balloons. The shop sells balloons in packs of
- How many packs does he need to buy?
KS1 2003 level 2a
20 children sit at tables in groups of 4. How many groups will there be? 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. –
Look at these signs.
- × – = Use one of the signs to make this correct. 9 2 = 11 Now use the signs to make this one correct. 14 2 12 KS1 1997 level 2c
Write the missing number in the box. ÷ 2 = 7 KS1 2001 level 2a
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 half of eight hundred and sixty?
KS2 2001 Mental test level 3
Complete the number pattern.
KS1 1996 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
Divide forty-eight by eight.
KS2 2004 Mental test level 4
Nineteen marbles are shared between some children. Each child receives six marbles and there is one marble left over. How many children share the marbles? Y5 optional test 2003 Mental test level 3 Divide forty-two by six.
Y4 optional test 1998 Mental test level 4
What is twenty-seven divided by nine? Y4 optional test 1999 Mental test level 4
Multiply and divide numbers to 1000 by 10 and then 100 (whole number answers), understanding the
effect; relate to scaling up or down
If one hundred and seventy children are put into groups of ten children, how many groups will there be?
Y4 optional test 1998 Mental test level 3
Write in the missing number.
KS2 1996 Paper A level 3 How many hundreds are there altogether in two thousand four hundred?
Y5 optional test 2003 Mental test level 4
Divide three hundred and ninety by ten. KS2 2001 Mental test level 4
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)
Divide ninety by three.
KS2 2003 Mental test level 3
What is the remainder when you divide 53 by 8? Y4 optional test 2003 Paper A level 3 Circle each number which has a remainder of 2 when divided by 5.
Y5 Optional test 1998 Paper A level 3
Write the answer.
Y4 optional test Paper A level 4
Calculate 56 ÷ 4.
KS2 2005 Paper A level 3
Write in the missing number.
KS2 1995 Paper A level 4 Write in the missing digit. The answer does not have a remainder.
KS2 1995 Paper B level 4 (no calculator)
Parveen buys 3 small bags of peanuts. She gives the shopkeeper £2 and gets 80p change. What is the cost in pence of one bag of peanuts? KS2 1999 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
Write the missing number.
Y3 Optional test 1998 Paper B level 3
Plants are sold in trays of 20. David wants 240 plants. How many trays does he need to buy? KS2 2001 Paper B level 3
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.
What is half of three point six?
KS2 1998 Mental test level 4
How much is half of nine pounds fifty? KS3 2003 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
Divide ninety by three.
KS2 2003 Mental test level 3
How many nines are there in 54? KS3 2003 Mental test level 4
How many forties are there in 800? KS2 2003 Mental test level 4 How many sevens are there in two hundred and ten?
KS2 2000 Mental test level 4
Five times a number is two hundred. What is the number? KS2 2004 Mental test level 4
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)
4 pineapples cost £3.40. Calculate the cost of 1 pineapple.
Y4 optional test 2003 Paper A level 4
Use understanding of place value to multiply and divide whole numbers and decimals by 10, 100 or
Write in the missing number.
Y5 optional test Paper A level 4
Write in the missing number.
Y4 optional test 2003 Paper B level 3 What is four hundred divided by one hundred?
Y7 progress test 2005 level 4
What is two thousand divided by ten? Y7 optional test Mental test level 4 How many hundreds are there in one thousand?
Y7 progress test 2004 level 4
Divide thirty-one point five by ten. Y5 optional test 2003 Mental test level 5 Write what the four missing digits could be.
KS2 1997 Paper A level 4
How many hundreds are there altogether in two thousand four hundred? Y5 optional test 2003 Mental test level 4 What is seven point five divided by one hundred?
KS2 2004 Mental test level 5
Divide nine thousand three hundred by one hundred. KS3 2005 Mental test level 4
Refine and use efficient written methods to multiply and divide HTU×U, TU×TU, U.t×U, and HTU÷U
Calculate 847 ÷ 7.
KS2 2001 Paper A level 4
Calculate 942 ÷ 6. Y5 optional test 2003 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
Each car had to pay £7 to be at a sale. The school collected £399 from the cars. How many cars were there? Y4 optional test 1998 Paper B level 3 You save £1.50 per week.
How many weeks before you can buy a book that costs £18.49?
Y4 optional test 1998 Paper B level 3
A spoonful is 5 ml. How many spoonfuls can you get from this bottle? Y5 optional test 1998 Paper B level 4
375ml
