1 We are packing balls into boxes. Show how many boxes we will need if we pack: a) balls in each box b) balls in each box E.g: E.g: Write each as a multiplication and addition, then as a division. = 7 + 1 = + = 7, =, remainder 1 remainder Four hens want to share out the eggs equally. How many eggs will each hen get and how many will remain if there are: a) eggs b) 1 eggs c) 17 eggs = 1 = 1 7 = remainder 1 remainder remainder 1 + 1 = = 1 + 1 = 17 d) eggs e) eggs f) eggs? = = = remainder remainder remainder = + = + = Colour a route through the maze so that the numbers passed add up to. Start = Page 1 routes shown here
1 Make up multiplications from the numbers in the bags and solve them. Choose the 1st number from Bag A and the nd number from Bag B. Bag A Bag B 7 = 1 = 1 7 = 1 = = 7 = = 7 = = = = = 7 = = = Each number is the sum of the numbers directly below it. Fill in the missing numbers. 1 7 17 1 17 1 7 1 Vicky had 7 p. She bought a carton of orange juice and now has more than p, but less than p, left. How much could the orange juice have cost? Fill in the table. Orange Had (p) Spent (p) Has left (p) 7 7 7 7 7 7 7 1 1 7 Colour these shapes on the grid if the product of their numbers is. Write the numbers in the shapes. 7 1 1 7 7 7 Write the answers as Roman numerals. a) V II = X b) III V = XV c) VIII II = XVI IV III = XII VI V = XXX IX II = XVIII XXX V = VI LX VI = X C X = X Page
1 Each number is the sum of the numbers directly below it. Fill in the missing numbers. 1 1 1 1 1 The product of the numbers in each row or column is equal to the number at the end. In each square, the same mark means the same number. Fill in the missing numbers. a) = 1 b) 1 1 7 = = = = 1 = = 1 = 7 1 1 = = = = 1 1 = = = = Fill in the missing numbers. a) + = 1 b) 1 1 = = 1 + 1 = 1 7 1 = 1 + 1 = Measure the sides of the rectangles and fill in the missing lengths. A B cm 1 cm C D cm cm cm cm Write an equation for each rectangle to show the total length of its sides. A.. cm... +... cm.. +... cm... +... cm... =. 1. cm B... 1.. cm... =... cm............... C..... cm... =... cm............. D..... cm... +..... cm... =.. 1.. cm...... Page
1 The missing numbers are either or. The arrows points towards the value which is twice as much. Fill in the numbers and draw the missing arrows. Fill in the missing numbers. a) = 1 = 1 = 7 b) 7 + = + + = + c) + = 1 = 1 d) 7 + = 1 = Fill in the missing numbers. a) 7 = 1 b) 1 = c) 1 = = 1 = 1 = = = 1 = 7 7 = 1 = = Colour the small rectangles according to their answers. yellow: 1-digit and odd green: -digit and odd red: 1-digit and even blue: -digit and even 7 + 7 1 1 17 7 + 1 7 + + I thought of a number, halved it, added and subtracted times. I ended up with. What was the number I first thought of? Page
1 Colour the shapes on the grid and fill in the missing numbers if: a) the product of the numbers b) the sum of the numbers in each shape is 1 in each shape is. 7 7 7 7 1 7 7 1 7 1 7 7 7 7 1 1 7 7 Complete the table. a The rule is: b a + = b = c c 1 1 1 1 1 7 7 1 1 1 1 1 7 List the numbers which make the inequalities true. a) < < 7 b) > > 1 :..,................ :..,.. 7,............. c) 7 < < d) 1 > > 1 :..,...,....,......... :..,..,...,..,... 1..... The same shape means the same number. Choose from 1,,, or. The middle number is the product of the numbers around it. Fill in the missing numbers. 1 1 1 Fill in the missing numbers and signs. 1 1 Page
1 We reflected all the 1-digit numbers and got these pictures. a) 7 7 1 1 1 7 b) 1 1 7 7 1 7 Write the number we reflected below each picture. Draw in the mirror line. Draw the mirror image of each shape. The dotted lines are mirror lines. Practise calculation. a) 1 = b) 1 = c) = = 1 1 = 7 = = 1 = 7 = 7 = = = + = = + = + = 7 7 = + = + = 7 = = 7 + = 7 = 1 = 7 Page 7
1 Which pictures are symmetrical? Draw the possible mirror lines in blue. Write below each picture how many mirror lines you have drawn.... 1................................. Put a mirror on the dotted line. Draw the mirror image of each shape. a) b) c) d) The total distance around the outside of a shape is called the perimeter. Measure a side of each square and write its length in the box. B cm A cm C 1 cm D cm Write an equation for each square to show the length of its perimeter. A..... cm... =.. 1.. cm............ B..... cm... =... cm............... C.... 1. cm... =... cm............. D..... cm... =.. 1.. cm.............. A square has a perimeter of length cm. What is the length of each side? Write it as an equation. = 1 cm Page 7
1 Colour grid squares in different ways so that the shape is symmetrical. Draw the mirror line too. E.g: Colour the similar shaped cupboards in the same colour. 1 Which cupboards are the same? 1 and Colour similar shapes in the same colour. Which shapes are the same? and 7 1 7 1 1 1 = 1 1 = 1 + = 7 7 = 7 = = 7 + = 77 7 = 1 = = + 1 = 7 1 = = = + = = = 1 = + = 7 7 = 7 = 1 = + = 1 = Page
1 a) Colour similar shapes in the same colour. 1 1 1 1 7 7 b) Write inside each shape the number of unit triangles it covers. c) Draw mirror lines on the shapes which are symmetrical. Colour each single shape in a different colour. If you put similar shapes one on top of the other, colour the shape you would see from above. a) b) c) a) = b) 1 = 7 c) = 1 = 7 = 1 = 7 = 1 = 7 + = 17 + = 7 1 + 1 = 1 7 = 1 1 7 = 1 1 = 1 1 1 = 1 Page
1 Practise calculation. a) = b) = c) = 1 = = = 7 = 1 = = 7 1 1 = 1 = = + = 7 = + = 1 + 7 = = 7 7 = + 7 = = 7 1 = + 7 = = 1 1 = If the shape is symmetrical, draw in its mirror lines. Colour in 1 grid squares so that the picture is symmetrical. Draw in the mirror lines. Try to find different solutions. E.g: Write the answers as Roman numerals. a) X III = XXX V IV = XX III VII = XXI IV b) XII III = XXIV XII = C X = Page 1 II X
1 The dog starts at and jumps units at a time. The cat also starts at but jumps units at a time. Draw their jumps on the number lines. 1 1 1 1 Fill in the table to show how far they have gone after these jumps. Number of jumps 1 7 1 1 1 1 1 1 1 7 Who made: a) shorter jumps.. Cat...... b) fewer jumps?. Dog......... A butterfly has feelers and legs. Fill in the table. Compare the rows. Number of Feelers Legs 1 7 1 1 1 1 1 1 1 1 L =.... B...... F =.... B...... B =. F......... L =..... F...... F =. L......... B =. L......... Write the multiples of in the table in red. Learn the multiples of by heart. x 1 7 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 7 1 1 1 7 1 7 1 1 7 1 Page 11
1 A dragonfly has feelers, wings and legs. Complete the table. Compare the rows and write equations about them. Number of 1 7 1 1 7 Feelers 1 1 1 1 1 1 1 1 Wings Legs 1 1 1 1 1 1 1 L =. D......... F =. L......... W =.... D....... L =. F.......... F =. L.... W..... W =.... F...... D =. L.......... D =. W......... D =.. F........ (W = L F), (L = F + W) Write the additions and subtractions in a shorter way. Write the answers too. a) + + + + + =...... =............. + + + + + + =.. 7..... =............ + + + + + + + =...... =............. + + + + + + + + =...... =............. b) =.......... =............. =.......... =............. =...... 7.... =............. =........... =............ a) Divide the coins equally among the purses. p = 7 p b) Draw round the coins in groups of p. p is contained in p 7 times. Page 1
1 How many -pack cans of lemonade can you make from: Fizz Fizz Fizz zz a) 1 cans b) 1 cans c) cans 1 = 1 = = = 1 = 1 = Grandma has been picking plums from her tree. Help her to share out the plums equally among her grandchildren if there are: a) plums b) plums c) plums = = remainder remainder = = = 7 remainder 7 + = d) plums e) plums f) plums = remainder = = remainder = = remainder + = Write in the missing numbers. Learn the new facts in the times table. = = = 1 = 1 = = = = = 7 = 7 = = = = = = = = 1 7 1 = 1 = = 1 Page 1
1 Write in the missing numbers and signs. a) +7 b) + 7 1 + 7 c) 7 d) 7 7 a) Henry Hedgehog collected strawberries. He ate 7 of them but then found more. How many strawberries did he then have? Collected: Ate: 7 Found: Calculation:..... 7. +... =.. 1................................ Answer: Henry Hedgehog then had 1 strawberries. b) From Monday to Saturday, Holly Hedgehog collected raspberries each day. On Sunday she ate half of them. How many raspberries did she then have? Number of days: Collected each day: Collected altogether:...... =........... Ate: 7 Calculation:......... 7.. =.. 7.............................. Answer: Holly Hedgehog then had 7 raspberries. Practise calculation. a) + 1 = b) 7 = 1 + 1 = = 7 + 1 = = 1 = = 1 = 1 = 1 = 7 = Page 1
1 a) Six girls have 7 apples each. How many apples do they have altogether? 1 girl has 7 apples. girls have 7 = apples. b) Seven boys have marbles each. How many marbles do they have altogether? 1 boy has marbles. 7 boys have 7 = marbles. Break down the numbers into their factors. Follow the example in a). a) b) c) 1 d) e) Fill in the missing numbers and signs. a) b) 1 1 c) d) 1 Fill in the missing signs to make the equation true. 7 1 = Page 1
1 Fill in the answers. 1 1 = = = = 1 = 1 1 = = 7 = = 1 7 7 = = 7 1 1 = 1 Complete the table. Look for connections between the rows. Number of Rows Circles 1 7 1 1 7 1 1 7 1 1 7 7 1 A blue strip measures cm, a red strip cm and a yellow strip 1 cm. How many red and how many yellow strips would be needed to cover the same length as several blue strips laid end to end? Complete the table. Number of: Blue strips 1 7 1 Red strips 1 1 1 7 1 Yellow strips 7 1 7 1 Write the multiples of in the table in red. Learn the multiples of by heart. x 1 7 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 7 1 1 1 7 7 1 7 7 1 1 1 7 1 Page 1
1 a) Divide the 7 coins equally among the purses. Colour each purse in a different colour and colour its coins to match. How many are in each purse? 7 = b) Put the coins into groups of. How many groups are there? = Aunt Sally has picked some strawberries from her garden. She shares them out equally among her nephews and nieces. How many strawberries will each child get and how many will remain if Aunt Sally picked: a) strawberries b) strawberries c) strawberries? = = = remainder remainder remainder = + = + = Shorten the additions to a multiplication. Write a division about it too. a) + + + + + + = 7 = = 7 b) + + + + + + + = = 7 7 = c) + + + + + + + + = = 1 1 = Page 17
1 Each box holds chocolates. How many boxes will these chocolates fill? a) chocolates b) chocolates c) chocolates = remainder + = = remainder = = remainder + = Write in the missing numbers. Learn and practise the times table. = = = 1 = 1 = = = 1 = 1 1 = = 7 = 7 7 = = = = = = = = = = 7 = 7 = = = 7 = 7 7 = = 1 = 1 1 = 1 7 1 = 1 = = 1 Do the calculations in the correct order. Multiply or divide first! a) + { = b) { + { 7 + 1 = { 7 = { + { 1 = = 71 { { 1 + { = 1 + 1 = 7 7 + = { { { { = { 1 + { = Page 1 1
1 Choose the easiest order of calculation. a) + 1 + = b) 7 = + 1 = = 1 1 + 7 = = 7 = = 1 1 1 Practise calculation. 1 = = 1 = 7 = 7 = = = 7 = 7 = = 7 = = 7 = = 7 = 1 = 1 = = = 1 = = 1 = = = 1 1 7 Colour the equal values in the same colour. 1 = + = + = 1 1 = 1 + = 7 = 7 + = 1 = 7 + = 7 Colour the shapes on the grid and write the numbers in the shapes. The product of the numbers in each shape is. 7 7 7 1 7 Page 1
1 Colour the equal amounts in the same colour. + + 7 = = 1 + 7 + 7 = 1 + 7 = + 7 + = 7 = 7 = 1 1 7 = + = 7 = 7 = = 1 Fill in the missing numbers. a) 1 b) 7 c) e) 7 Write in the missing numbers and signs. a) b) 1 1 7 Do the calculations in the correct order. Multiply or divide first! a) + = b) + 7 + = = 1 + 1 = = 7 1 + 7 = + 7 = 7 + = 7 7 = 1 + 7 = = 1 1 = Page 1 7 1 7 1 1
1 Three friends are collecting stamps. Rob has stamps. Alex has twice as many as Rob and Tom has half as many as Rob. How many stamps does Alex and Tom each have? Alex Tom Calculation:....... =. 7......... Calculation:....... =.. 1....... Answer:.. Alex.... has... 7.. stamps.......... Answer:. Tom.... has... 1.. stamps........... Three friends live in the same street. Alec's house is m from Colin's house and Brett's house is m from Colin's house. How far away is Brett's house from Alec's house? (Complete the diagram.) m A m m Calculation:........ =........... or.... +.... =. 7............. Answer:. Brett's..... house..... is.... m........ or.. Brett's..... house..... is. 7... m...... from Alec's house. from Alec's house. C B 1 B Jenny had 7 p. She spent 1 p on a hairslide. Then she was given another p by her Dad. How much money does she have now? Calculation:. 7.... 1.. +.... =.................................... Answer:.. Jenny..... now... has...... p.................................... Mrs Squirrel takes acorns home twice a day. She can carry only acorns at a time. How many acorns has she taken home after days? Calculation:......... =...................................... Answer:.. She.... has... taken.... home....... acorns................................ In Lee's piggy bank, there was p. Lee put in 7 p each day for the next days. How much money does Lee have now? Calculation:.... +..... 7. =..................................... Answer:... Lee... now.... has..... p..................................... Page 11
1 a) Andrew has, which is more than Ben. How much money does Ben have? Calculation:....... =.................................... Answer:.. Ben.... has.......................................... b) Rachel has postcards, which is times more than Sarah has. How many postcards does Sarah have? Calculation:........ =. 7.................................. Answer:... Sarah..... has... 7. postcards.................................... a) I have grapes. Some of the grapes are red and times as many are green. How many green grapes do I have? Calculation:.. R.. =....... =................................ G = = 1 Answer:...... I. have.... 1.. green..... grapes.............................. b) I have grapes. There are more red grapes than green grapes. How many green grapes do I have? Calculation:....... =. 1................................... 1 = Answer:...... I. have..... green..... grapes............................... Sue has boxes of red marbles and boxes of blue marbles. Each box contains marbles. How many marbles does Sue have altogether? Calculation:...... +...... =............................... Answer:.. Sue.... has..... marbles...... altogether............................... Grandma gave to her grandchildren. They shared the money equally. Then Grandpa gave 1 to each of them. How much money does each grandchild have now? children, so 1 child Calculation:...... +.. 1.. =................................. Answer:..... Each.... grandchild........ now.... has........................... Page 1
1 There are 1 balloons. Each child is given balloons. How many children are there? Calculation: 1 = : = 1 Answer:.... children........................................... Sammy Squirrel had 7 acorns. He gave acorns to Susy Squirrel but later asked for back. How many acorns does Sammy Squirrel have now? Colour the calculation which answers the question. 7 + ( + ) = 7 ( ) = 7 ( + ) = 7 + = 7 = 7 + = Note: both answers are correct. There are rows of fruit in the shop window. In each row there are pears and apples. How many pieces of fruit are there in the window altogether? Do the calculation in different ways. a) Number of rows: Pieces of fruit in each row: ( + ) Pieces of fruit in rows: ( + ) = = b) Number of pears: Number of apples: Number of pieces of fruit altogether: + = + 1 = Answer: There are pieces of fruit altogether. Page 1
1 a) Who has more fish? Do the calculations and write in the correct sign. Peter has fish tanks, Steve has fish tanks, with fish in each tank with fish in each tank....... =............... >....... =................... b) Who has more bags? Do the calculations and write in the correct sign. John has marbles, Tim has marbles, with marbles per bag. with marbles per bag......... =. 1............ >........ =.................. On market day, the farmer collected 7 eggs from his hens. How many egg-boxes will he fill to sell at the market if each egg-box can hold eggs? Calculation:.. 7...... =.,.. remainder........ 1............................. Answer:.. He... can... fill.... egg-boxes........................................ A shop had 1 kg of oranges, packed in kg bags. kg If kg were sold, how many bags of oranges were left? bags of oranges were left. Underline the calculation which answers the question.? 1 = 1 = 1 =? 1 =?? (1 ) =? 1? = Do the correct calculation:.. E.g:.... 1........... =.. 7.... =.......... :...... kg.. =. 1... kg..................... 1 kg + kg = 1 kg Anne has p. How much money should she give to Donna so that they both have the same amount, if Donna already has: a) p b) p c) p? + = + = + = = = = = = 7 = Answer: p Answer: 7 p Answer: p Page 1
1 Five girls are going to buy ice-cream. Each of them wants to have a cone with scoops of ice-cream. There is enough ice-cream left in the tub for 1 scoops. Will all the girls be able to buy what they want? Calculation: 1 =, remainder Answer:.. No................................................. There are rows of cars on the garage forecourt. In each row there are white cars and red cars. How many cars are there on the garage forecourt altogether? Do the calculation in different ways. a) Number of rows: Number of cars in each row: ( + ) Number of cars in rows: ( + ) = 7 = b) Number of white cars: Number of red cars: Number of cars altogether: + = + 1 = Answer:..... There.... are...... cars.... altogether................................ A terrarium is a glass case containing soil and twigs for keeping insects. Who has more terrariums? Do the calculations. Write in the correct sign. James has stick insects. Keith has bugs. He keeps stick insects He keeps 7 bugs in each terrarium. in each terrarium.......... =............... =........ 7.. =................ Which has more sides altogether: Write equations. Fill in the missing sign. Page 1 pentagons or octagons?...... =.... <...... =.....
1 Kangaroo starts from and jumps along the number line, 7 units at a time. Draw his jumps on the number line. Complete the table. 1 1 7 Number of jumps Number reached 1 7 1 7 1 1 7 Draw pictures to show the equations. a) b) a) 7 + 1 7 = b) 1 7 + 7 = 1............................ Each girl puts 7 plums into a bag. How many bags will each girl need? Write it as an equation. Julie Kate Laura 1 7 = 1 7 = 7 = Write the missing multiples of 7 in the table. Learn the multiples of 7 by heart. x 1 7 1 1 7 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 7 7 1 1 7 1 7 1 7 7 1 1 1 7 1 Page 1
1 Complete the table. Compare the rows by writing equations. Weeks 1 7 1 1 7 Days 7 1 1 7 7 1 W =. D.... 7.............. D =. 7... W............... Fill in the missing numbers. Learn and practise the 7 times table. 7 = 7 = 7 = 1 7 = 7 7 1 = 7 7 7 = 7 = 1 7 = 1 1 7 = 7 = 1 7 = 1 1 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 7 = 7 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 1 7 = 7 7 1 = 7 7 7 = 1 7 1 Snow White was baking cakes. She gave the same number of cakes to each of the 7 dwarfs. How many cakes did each dwarf get and how many remained for Snow White? Complete the table. Number of 1 7 1 each 1 7 remaining 1 1 1 Which is more? Write in the correct sign. a) 7 ( ) < 7 b) 7 (7 ) Page 17 <
1 A spider has legs. Complete the table. Compare the rows. Number of Spiders 1 7 1 Legs 1 7 S =.. L................. L =..... S.............. Write different equations about the picture. E.g: 7 = 7 = = 7 7 = + + + + + + = + = + = Fill in the missing numbers and signs. 1 Write the new multiples of in the table. Learn the multiples of by heart. x 1 7 1 1 7 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 7 7 1 1 7 1 7 1 7 7 1 1 1 7 1 Page 1
1 Write in the missing numbers. Learn and practise the times table. = = = 1 = 1 = = = 1 = 1 1 = = = = = = = = = = = = = 7 = 7 = = = = = = 7 = 7 7 = 1 = 1 = = 1 7 1 Fill in the missing numbers and signs. a) 7 b) 1 Minnie Mouse takes home some worms for her babies. She gives each baby mouse an equal number of worms. How many worms does each baby get and how many remain for Minnie? Complete the table. Number of 1 7 each remaining 1 1 1 I think of a number. I multiply it by, add and then divide by. I am left with. What was the number I first thought of? Page 1
1 Put the kites in order of increasing value. Write the position number at the end of the string. Colour the kite you think was the easiest to do. = 7 + 1 7 1 = 7 7 = 7 7 = + = 7 Colour one kite. 1 Which pair of bones belong to which dog? Join up a matching pair of bones to each dog and write the value in the dog. + 1 7 7 1 7 7 + + 7 + 7 + Do the calculations in the correct order. Fill in the missing numbers. a) + = b) = 1 + = 7 (7 1) = ( 17) + = + = 7 1 Lisa had 1. She bought books at each and hairslides at 1 each. How much money (x) does she have left? x = Underline the equation which describes the story. 1 + 1 = x (1 ) + 1 = x 1 1 = x Draw a line 1 cm long and divide it into quarters. Each quarter is cm. Page 1