a) Draw half the number of shapes in the picture. b) Draw one third of the number of shapes in the picture.

Transcription

1 MEP Primary Practice Book Yb ANSWERS a) Draw half the number of shapes in the picture. b) Draw one third of the number of shapes in the picture. c) Draw one quarter of the number of shapes in the picture. There are 6 bananas in this bunch. Draw the bananas and fill in the number. a) half of the bunch b) third of the bunch c) sixth of the bunch Where will the parachutes land? Join them up to the correct hills. 3 parts of 6 parts of parts of parts of parts of third quarter half whole sixth Draw how many dumplings there are and write the amount in the box if: a) is half of b) is fifth of c) is third of d) is quarter of Draw a line cm long and divide it into thirds. Each third is cm. Page

2 Four mice have found a lump of cheese. Draw where they should cut it so that they each have an equal amount. Each mouse has quarter of the cheese. Write below each shape what part of it is shaded. a) b) c) half half quarter d) e) f) 3 quarters eighth 3 eighths a) We have planted red roses in eighths of the garden. Colour it red. b) We have planted blue forget-me-nots in 3 eighths of the garden. Colour it blue. E.g: c) We have planted grass in eighths of the garden. Colour it green. d) Our house is built on the remaining part of the garden. Draw it in. What part of the garden does the house take up? eighth Tortoise and Snail are having a race. Colour the animal who is ahead. has covered quarter of metre: cm has covered 3 fifths of 50 cm: cm Page

3 These things belong to a clown. Colour: a) half of his coat yellow b) 3 quarters of his stick green c) half of the pair of shoes blue and the other half red d) 5 eighths of his cake brown. Complete the sentences by drawing or writing. a) is third of 6 rabbits b) is three quarters of c) is one half of drank litres drank 3 quarters of water. of that amount. How much water did they drink altogether? Calculation: G: litres 3 = 8 litres E + G = litres + 8 litres = litres Answer: litres Draw a line of length 8 cm. Draw over 3 quarters of it in red. Page 3

4 Colour: thirds quarter sixths 3 quarters Draw how many nuts there are if: a) is quarter b) c) is 3 eighths is sixths Join up the values to the corresponding points on the number line. fifth of 5 times 8 halves of quarters of 8 half of 0 3 quarters of 0 Compare the shaded parts. Which is more? Write in the correct sign. = third of a half half of a third Page

5 Complete the sentences by drawing or writing. a) half of is b)... third of is 3 a) quarter of is 3 Join up the clouds which show the same numbers. half of 8 half of 8 quarter of 36 quarter of 96 eighths of 6 third of 8 thirds of 9 3 ninths of 7 Write the answers as Roman numerals. a) half of XX = X b) ninths of XVIII = IV c) 3 quarters of XL = XXX d) 3 fifths of XX = XII Colour: a) third of this grid b) fifths of this grid c) 3 quarters of this grid d) third of this grid Page 5

6 Sally and Susy Squirrel want to divide up the acorns they collected so that they both have an equal amount. How could they do it? Complete the table. Number of each remaining We want to put 3 flowers into each vase. How many vases will we fill and how many flowers will remain? Fill in the missing numbers. = = 3 + = 3 + A toy shop bought 35 teddy bears. The shop assistant could fit only 3 bears on each shelf. She put the remainder in the window. How many shelves were used? How many bears were put in the window? 35 3 =, remainder Answer:.... shelves were.... used bears..... were.... put... in.. the.. window Fill in the missing numbers. a) = 60 b) = 80 c) = = = = = = = = = = 66 = = = = = = Page 6

7 What do the pictures tell us? Write equations about them. a) b) c) = 3 + = 7 + = 9 3 = 3, remainder 7 = 3, remainder 9 =, remainder ( ) 3 = 3 (7 ) = 3 (9 ) = Alice has been given some flowers. She wants to put 3 flowers in each vase. How many vases will she fill and how many flowers remain? Draw in the flowers and write equations about the pictures, if she had: a) 3 flowers b) flowers c) 5 flowers 3 3 =, remainder 3 = =, remainder = = 5 5 = 5 3 A photo album can hold only photos on each page. How many pages will be filled and how many photos will remain if there are: a) photos b) 5 photos c) 6 photos d) 7 photos? pages pages pages pages remainder remainder..... remainder..... remainder a) = b) 73 7 = = = = = 8 6 Page 7

8 Write in the missing numbers. Draw pictures to match the calculations. a) = 6 b) = 9 c) = = = = 3 remainder remainder remainder 3 Grandad wants to put his 35 rabbits into hutches, with an equal number of rabbits in each hutch. Complete the table. Number of per hutch hutches remaining The children were playing a game and had to stand in rows. If they stood, 3 or in a row, there was always child left out. What was the smallest possible number of children who played the game? Try these numbers. Write a or a to show whether they are possible Answer: 3 Fill in the missing numbers. a) = 95 b) 70 0 = 50 c) 68 3 = = = = = = 55 9 = 8 Page 8

9 A school was taking its pupils on a trip on a steam railway. The carriages in the train were so small that they could seat only 6 people. Complete the table to show how many carriages were needed. Number of Children Full carriages Children remaining How many weeks and days are there in each month? Fill in the table. Months Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Number of days 3 8/ Number of weeks plus extra days 3 0/ A train had carriages which could seat 8 people. Three carriages were full and the th carriage was half full. How many passengers were on the train? Calculation: = 8 Answer:. There..... were passengers on.. the... train Practise calculation. a) = b) 6 = c) + = = 3 7 = = = = 5 = = 5 6 = = = 35 5 = 7 = = 8 6 = 8 = Page

10 There are children in the class. The teacher wants to divide them into equal sized groups. In how many ways can she do it? Complete the table. Number in each group Number of groups Children left out E.g. E.g This is a special magic square. The numbers along each row, column and diagonal add up to 3. Fill in the missing numbers. Look for other numbers in the square which add up to Fill in the missing digits. a) = 80 b) 5 = 0 c) = d) = 0 Use the digits,, 3 and to make pairs of -digit numbers. Each digit can be used only once in every pair, but can be in any order. An example of such a pair is: and 3. a) Which pairs have the largest sum? 3 + = 7 3 and 3 + = 7 3 b) Which pairs have the smallest 3 = 7 difference? and = A bus is allowed to carry only 6 passengers. There are 9 people waiting at the bus stop. The first bus to stop is half full. How many people will be left at the bus stop? 6 = = Page 50

11 In a farmyard there are hens and rabbits. They have 5 legs altogether. How many hens and how many rabbits could there be in the farmyard? Complete the table. Write calculations for some of the columns. Number of Calculations: E.g: + 7 = = = 5 + = = 5 Match up the dogs to their bones. Join them up or colour them (36 0) Practise multiplication. a) 9 9 = 8 b) 8 = 80 c) 8 = 6 5 = 30 3 = = 8 8 = 6 = 9 = 7 = = 5 5 = 7 8 = = 9 3 = Practise addition and subtraction. a) = 63 b) = 35 c) 35 7 = = = = = + 38 = 76 9 = = = = = 53 5 = = Page

12 Write in the suitable signs. (+,,, ) E.g: a) 0 5 = b) = = = = = 3 What is the connection between the shapes? Complete the table. Write the rule in different ways = + = = Practise addition and subtraction. a) = 5 b) = 9 c) 65 9 = = = = = = = = = = = = = = = = Practise multiplication. a) 5 = 6 9 b) 30 = 3 c) 0 = 0 0 = 0 = = 3 = 3 = 8 0 = 0 36 = = = 5 7 = 7 9 = 9 = = 3 0 = 50 = 5 Page 5

13 I am going to toss a coin once. How certain can I be of the result? Join up the statements on the left to the correct labels on the right. I will throw a head. I will throw a tail. I will throw a head and a tail. I will throw a head or a tail. Certain Possible, but not certain Impossible Throw a dice on your desk times. Keep a tally of the numbers thrown in the table. Fill in the last column to show how often you threw each number Throws st nd 3rd th 5th 6th 7th 8th 9th th Total I am going to throw a dice once. How certain can I be of the result? Join up the statements at the sides to the correct labels in the middle. I will throw a. I will throw a or a 6. I will throw a and a 5. I will throw a 7. Certain Possible, but not certain Impossible I will throw a number < 3. I will throw a number <. I will throw an even number. I will throw a number < 9. I am going to toss a coin twice. Write the possible results in the table. Page 53 Throws st throw nd throw Head Head Tail Head Tail Tail

14 There are white, black and striped marbles in a bag. The bag is tied with cord and you cannot see inside. Join up the the statements on the left to the labels on the right. How certain can I be that if, with my eyes shut: a) I take out marble, it will be black. b) I take out marbles, they will be the same colour. c) I take out marbles, they will be different colours. d) I take out 5 marbles, at least of them will be the same colour. e) I take out marbles, they will all be different colours. a) If we were to throw dice at the same time, how many different results could there be? Continue writing them out, with A's number first , , , , , , , , , , ,... +, , , , , , , , , , , , , , , , , , , , , , , b) Which total is: i) the smallest possible ii) the largest possible? Certain Possible but not certain Impossible A A + = = B B We have put 5 red, 5 yellow and 5 green marbles into a bag. The bag is tied with cord and you cannot see inside. If you take out some marbles with your eyes closed, what is the smallest number of marbles you should take out to make certain that you have at least: a) red marble b) yellow marble R G Y R Y Y G G R R G R Y Y G c) green marbles d) 3 marbles of the same colour? Page 5 7 R + Y + G = 6 Next marble is R, Y or G, making 7 in total

15 We are going to throw dice at the same time. How many different totals could there be? (Note: + 6 = 7 and 6 + = 7 so the totals are the same) Continue the list.? 3 5 6? 3 5 6? ??? (+=, +=3, +3=, +=5, +5=6, +6=7, +6=8, 3+6=9, +6=, 5+6=, 6+6=) There are different totals. The side of each grid square is a unit. Count the units around the edge of each shape. Write the lengths of the perimeters in the boxes below. A B C D E F A: units B: units C: 6 units D: 6 units E: units F: 3 8 units Practise calculation. a) = = = b) 9 3 = = = c) 7 = = = d) 36 6 = 5 5 = 8 9 = 6 e) = = 6 Page

16 Mrs Hedgehog and Mrs Squirrel always take the same number of strawberries home for their babies. There are 8 baby hedgehogs and baby squirrels. How many stawberries will each baby get? Complete the table. taken home per baby per baby Write a division about each picture. with a multiplication. a) b) c) 7 = 3, remainder 3 + = 7 9 =, remainder + = =, remainder 3 + = 3 Colour the amount asked for in each picture. a) half b) third c) sixths d) Draw marbles. Colour fifths of them red. Page 56

17 Fill in the missing numbers and signs. ( +,,, ) a) b) Pete has 8 stamps, 8 times more than the number Laura has. a) How many stamps does Laura have? Calculation: Answer: 8 8 = 6. Laura.... has stamps b) How many stamps do they have altogether? Calculation: Answer: = 5. They.... have stamps altogether Practise division. with multiplication. a) 7 = 8 = remainder remainder = 7 = = remainder 7 = 7 0 b) 8 3 = = 8 3 = 6 remainder remainder 0 remainder = 8 3 = = 8 c) = 0 3 = 8 0 = remainder remainder 0 remainder + = 8 = 3 0 = Page 57

18 Each number is the product of the numbers directly below it. Fill in the missing numbers. a) 8 b) Join up the equal pairs quarters of 6 3 half of 8 quarter of 0 third of 35 7 thirds of 5, minus Practise division. with multiplication. a) b) c) 6 5 = 60 5 = 0 5 = remainder remainder 0 remainder = 6 5 = = = 8 6 = = remainder remainder 0 remainder = = 8 6 = 66 7 = = 77 7 = remainder 0 remainder remainder 0 7 = = 57 7 = Compare the results. Write the corrrect sign between them ( <, >, = ) a) 6 = b) 3 3 > = > Page 58

19 Each number is the product of the numbers directly below it. Fill in the missing numbers. E.g: a) 6 b) 3 c) Four ladybirds are sharing leaves so that they all have an equal amount. How many leaves will each ladybird get and how many will remain? = 5 remainder : 5 + = Answer: Each..... ladybird will.... get leaves leaves..... will... remain Practise division. with multiplication. a) 6 8 = = 7 8 = remainder remainder remainder = = = b) 39 9 = 8 9 = 99 9 = remainder 3 remainder 0 remainder = = 8 9 = 99 9 In which order will the cars pass the finishing line? Write the position numbers in the boxes. The car with the highest value will be st! 7 6 = = Write the values in decreasing order >..... >..... >..... > >..... > > Page 59 3

20 There are 3 fish in a tank. Three fish at a time can be lifted out with a small net. How many times does the net have to be used to lift all the fish out of the tank? Calculation: 3 3 =, remainder Answer:. The.... net... has... to.. be.. used times Do the calculations in the correct order. a) 3 + = 7 b) + 3 = ( 3) + = 9 ( + 3) = 3 ( + ) = ( ) = ( 3) ( + ) = 7 ( + 3) ( ) = (3 + ) = 5 + (3 ) = Compare the results. Write the corrrect sign between them ( <, >, = ) a) 3 7 = b) > = = > = > = = 7 3 = Practise division. with multiplication. a) 5 = b) 8 = 8 c) 60 = 6 remainder 5 remainder remainder = = 8 6 = 60 Page 60

21 Write these numbers in the correct places in the two tables., 39,, 56, 60, 7, 89, 0,,, 37, 3, 59, 6, 77, 8, 99, a) How many 's are in 0? b) How many 0's are in 00? Join up the amounts in the middle to the matching numbers. one hundred two hundred three hundred four hundred five hundred six hundred seven hundred eight hundred nine hundred one thousand = 0 0 = = = = = = = = = 00 Colour in the number you think is the odd one out. Why did you choose it? 37 is the only number > 0; a) E.g: is the only 3-digit number. b) E.g: is the only number > 00. Page 6

22 Write in the missing numbers. a) b) At which numbers have we written the letters? Write them in the boxes. a) a b c d b) a b c d c) a b c d Write additions about the pictures. a) Had d) Had Was given 3 + = 5 Was given + 5 = 9 b) c) Had Had e) f) Was given Had Was given Had Was given 0 Was given = = = = Join up the numbers to the number line Page 6

23 Write subtractions about the pictures. a) b) c) Had Spent Had d) Had Spent Had Spent e) f) Had Spent Had Spent 5 = = = Spent 6 3 = = = Join the picture to the corresponding point on the number line. Write the numbers below the number line Fill in the missing numbers. Use the number line to help you = = = = = = 5 Write these numbers using digits. a) one hundred and forty 0 four hundred b) two hundred and ten 0 five hundred Page 63

24 Fill in the missing numbers Colour the items we can pay for exactly with only p coins. p 5 p 70 p 78 p 90 p 0 p ( ) 5 p ( and 5 p) 70 p ( and 70 p) 78 p ( and 78 p) 90 p ( and 90 p) Practise addition and subtraction. a) = 8 0 b) 30 0 = = = = = = = = = = = = = = = 5 3 Page 6

25 Write these numbers using digits. a) Three hundred and fifty b) Two hundred c) Four hundred and fifty d) Six hundred e) Eight hundred and fifty f) Nine hundred and fifty-two Write additions and subtractions about the pictures. a) b) E.g: = = = = 6 0 E.g: = = = = 6 0 Colour the parts of the house as shown. Red: Yellow: Blue: + 70 Green: Write below each figure its total value if: =, = 50, = 0 50 a) b) c) Draw a figure of total 50 value Page 65 E.g:

26 Best before MEP Primary Practice Book Yb ANSWERS Complete the table. Hundreds Tens Units Number in digits Number in words 6 twenty-six 0 6 one hundred and twenty-six two hundred and twenty-six three hundred and twenty-six five hundred and twenty-six Show different ways we could we pay these amounts. p 50 p 0 0 Complete the table There are many correct answers; some are given in the table Which of these could you buy? Draw pictures and write additions. R E A D Y C R I S P S SA L T E D 50 p 70 p 0 p apple bananas hot dog apple 3 packets crisps apple packet crisps 70p + 0p 70 p + 70p + 70p = 90 p + 0p = 50 p = p 50p + 70p = 0 p There are many other correct answers. Page 66

27 Complete the table. Write the total at the bottom of each column. Hundreds Tens Units Number in digits Number in words twenty-one three hundred and four 0 3 one hundred and thirteen three hundred and fifty Total seven hundred and eighty eight Colour as many 0's, 's and 's as the number at the bottom shows. a) 0 b) 0 c) 0 d) Find the rule. Complete the table. Write the rule in different ways. 6 ten hundreds 5 ten hundreds hundreds 5 tens hundreds 5 tens = + = = Page 67

28 Write the total amount below each column. a) 0 b) c) d) Join up the equal numbers. one hundred and thirty-six one hundred and sixty-three one hundred and thirty three hundred and one three hundred and sixteen one hundred and twelve one hundred and three 30 two hundred and eleven Join up the equal amounts Complete the table. The rule is: =. m 3 90 p litres kg 0 cm 3 m 9 p litre p 70 p 0 p 0 cm 60 cm 00 g 8 80 cl 90 p 30 p 70 p 0 cl m m 0 cm 800 g p litres 30 cl litres 30 cl 3 litres = = + Page 68

29 Bob has only 5 notes in his wallet. He is thinking of buying one of these. 7 0 p 5 90 p 6 p 9 30 p Buying which item would give him racket and a) most change back? shuttlecock Change: p. =... p b) least change back?. car Change: p.. = p Write the additions and subtractions in a shorter way. Write the answers too. E.g: a) = = b) = = c) = = d) = = e) = = f) = = g) = = Write in the missing numbers. a) b) 56 c) d) How many 0 cl jars can be filled from a 3 litre 0 cl tub of honey? 30 0 = 8 Answer: 8 jars Page 69

30 Join each cloud to the corresponding point on the number line Fill in the missing numbers. a) m 6 cm = 6 cm b) 3 m 7 cm = 37 cm 0 p = 0 p 5 p = 5 p litres 8 cl = 8 cl litre 5 0 cl = 50 cl The same shape stands for the same -digit number greater than. Fill in the numbers if the product of the numbers along each line equals: a) 6 b) Use this code to write secret messages. a) Code this secret message. m e e t m e a t t e n a b 0 Secret code e h i 3 m n 5 6 o 7 s 8 t 9 b) Decode this b e n i s n o t h o m e secret message c) Code your own secret message for a friend to decode. Page 70

31 Which of the numbers, 5 or does each shape represent? The same shape means the same number. 5 The arrows point to the multiplication which has twice the value. 5 Practise multiplication. a) 6 = 6 b) = 3 8 c) = = = 8 5 = 6 = 0 0 = = 3 5 = 5 0 = 0 = 5 0 = 5 9 = = 35 = 7 6 = 3 0 = Practise division. a) = 6 b) 6 3 = c) 56 7 = 7 3 = 5 5 = 9 = = 0 8 = 0 = = 70 7 = = 7 0 = 8 8 = 7 3 = 7 8 = 0 = 0 = List the numbers which make the statements true. a) 6 tens and 5 units < 6 tens and units :. 6,.. 7,.. 8, b) 7 tens and 6 units tens and 6 units :. 7,.. 6,.. 5,..,. 3,..,.., c) hundreds, 3 tens and 7 units > hundreds, 3 tens and 7 units :. 0, Page 7

32 In a bag, there are white and 8 black marbles. What is the smallest number of marbles you must take out of the bag (with your eyes closed) to make certain that you have taken out at least: a) white marble 9 b) black marble c) 5 white marbles 3 d) 5 black marbles 5 e) white and black marble? Colour the equal amounts in the same colour. 5 + = = = = = = = = = 9 Do the calculations in the correct order. a) = 6 3 b) = = = = = = = One side of the paper strip is white and the other side is black. Continue colouring the parts of the paper strips which should be black. Page 7

33 Colour the odd one out. Write the reason for your choice. third of twelve half of 8 quarter of 6 sixth of 6 Reason :.. sixth.... of.. 6. =..... All... other.... answers = Fill in the missing numbers. a) 6 8 = 8 b) 5 8 = 0 c) = 3 9 = 7 9 = 90 5 = = 5 = = 0 7 = = = 6 6 = 60 8 = 8 7 = = 8 0 = = 35 Fill in the missing numbers. a) 9 3 = 3 b) 5 = 5 c) = = 6 = 8 36 = 6 5 = 9 9 = 9 0 = 6 70 = 7 = 8 8 = = 8 6 = 0 = = 3 7 = 5 = Write the value, in acorns, of each squirrel's store of food, if: = So = 3 = So = and = 3 a). = 3 = 3 (3 ) = 9 : = 8 b) : = 8 Page 73

34 We have put some of these shapes one on top of the other to give the shape on the right. Colour the shapes we have used in the correct colour. R Y Y B Y Y R The length of a room is m 30 cm and the width is m 70 cm. What is the difference between them? Length:... m cm.... = cm Width:.. m cm.... = cm = 6 0 cm = m 6 0 cm On a farm, each hen lays egg per day. Complete the table. Number of hens Number of days Number of eggs Do the calculations in the correct order. a) + 6 = b) ( + ) 6 = + (6 ) = ( + ) (6 ) = + ( 6 ) = + ( 6 ) = In a card game, the cards have pictures of apples, pears, cherries and bananas. The rules are: 3 =, 6 =, = How many bananas are equal to an apple? apple = 3 pears = 3 (6 cherries) as pear = 6 cherries = 8 cherries = 8 ( bananas) as cherry = bananas = 36 bananas Page 7 Answer: = 36

35 Fill in the grid using the clues given. Write the answers in words The favourite food of Winnie the Pooh Half of two A yellow, sour fruit.. 3. h o l o n e n e m e o y n. The number of fingers on one hand. f i v e = 5 5. a d d 6. The subject this lesson is about 6. m a t h 7. months 7. y e a r You are visiting a zoo and you want to see all the animals. Start 9 m m The map shows the paths and Rhinos 3 m 7 m the distances between the animals. Monkeys m Elephants Begin and end at Start. 8 m 5 m m 3 m a) Find a route. List all the animals in the Lions 6 m Giraffes order you visit them..... Many..... possible answers The total length of this route is metres. b) Try to find a route of length less than 0 metres. The order is E.g:. Start,.... Rhinos, Lions, Giraffes, Elephants, Monkeys, Start The total length of this route is 9 6 metres. This is a maze. E.g: Find a route from the entrance to the dot at the centre without crossing over any lines. Try to find a shorter path. Page 75 Entrance