MEP NUMERACY SUMMER SCHOOL HOMEWORK BOOK NAME

Transcription

1 MEP NUMERACY SUMMER SCHOOL HOMEWORK BOOK NAME

2 CONTENTS NUMERACY SUMMER SCHOOL HOMEWORK... 2 RECORD OF HOMEWORK... 3 RECORD OF EXTRA WORK... 5 PLACE VALUE... 7 ADDING AND SUBTRACTING IN YOUR HEAD... 9 MULTIPLYING AND DIVIDING IN YOUR HEAD MULTIPLYING BY MULTIPLES OF DIVIDING BY MULTIPLES OF ADDITION SUBTRACTION MULTIPLICATION DIVISION PERCENTAGES AND DECIMALS FRACTIONS, DECIMALS AND PERCENTAGES USING FRACTIONS AND PERCENTAGES TIME ADDITION CROSSNUMBER PUZZLE NUMERACY WORD SEARCH MAGIC SQUARES WALLS TRIANGLES CIMT, University of Exeter

3 NUMERACY SUMMER SCHOOL HOMEWORK The aim of the activities in this book is to help you to improve your numeracy skills. You must not use a calculator for any of the activities. Try to find a quiet place to work and sit at a table so that you can do your best work. Do your homework early in the evening so that you are not too tired to do your work well. If you are having problems, try to find an adult who can help you. Your homework should take about thirty minutes. If it is taking a lot longer than that, leave it and tell your teacher the next day. Do not worry if you find the work difficult. Do the best you can then leave it and ask your teacher for help the next day. The pages at the front of this book are exercises which will be set by the teacher. You will be told when to do these activities. The pages at the back are extra tasks that you can do at any time if you want to. Fill in the record sheet for each piece of homework you do. Sign it and ask a parent to sign it. You can also make a comment if you want to. CIMT, University of Exeter 2

4 RECORD OF HOMEWORK CIMT, University of Exeter 3

5 CIMT, University of Exeter 4

6 RECORD OF EXTRA WORK CIMT, University of Exeter 5

7 CIMT, University of Exeter 6

8 PLACE VALUE A. Write each of the following numbers in words B. Write each of the following numbers in figures. 1. Three thousand two hundred and forty one One thousand four hundred and fifteen.. 3. Eight thousand and fifty six Twenty five thousand seven hundred and ninety five Seventeen thousand and three... C. Fill in the numbers in the boxes = = = = = CIMT, University of Exeter 7

9 D. Fill in the numbers in the boxes = = = = = E. Round each of the numbers in the first column. The first one has been done for you. Number To the nearest 10 To the nearest 100 To the nearest F. Write these numbers in order starting with the smallest , 3 624, 6 243, 4 623, , 6 320, 6 230, 6 302, , 6.54, 8.37, 7.56, , 8.3, 8.35, 8. 53, , -12, -16, -3, CIMT, University of Exeter 8

10 ADDING AND SUBTRACTING IN YOUR HEAD A Fill in the missing numbers = = = = = = = = = = 52 Adding 19 is the same as adding 20 then subtracting 1. e.g = = 46 Subtracting 49 is the same as subtracting 50 then adding 1. e.g = = 34 B Copy and complete the following: 1. Adding 29 is the same as = = 2. Subtracting 69 is the same as = = 3. Adding 38 is the same as = = 4. Subtracting 28 is the same as = = CIMT, University of Exeter 9

11 Adding 41 is the same as adding 40 then adding 1 e.g = = 187 Subtracting 51 is the same as subtracting 50 then subtracting 1. e.g = = 222 C Copy and complete the following: 1. Adding 61 is the same as = = 2. Subtracting 31 is the same as = = 3. Adding 68 is the same as = = 4. Subtracting 58 is the same as = = It is often easiest to add two numbers that are close together by doubling a number and then adding or subtracting something. e.g = 2 x = = 2 x = 81 D Copy and complete the following: = = =. CIMT, University of Exeter 10

12 E Fill in the missing numbers. The first one has been done for you CIMT, University of Exeter 11

13 MULTIPLYING AND DIVIDING IN YOUR HEAD A Complete the following tables. 1. x x x x B. Continue these doubling and halving patterns CIMT, University of Exeter 12

14 MULTIPLYING BY MULTIPLES OF 10 When we multiply by 10 all of the digits in a number move one place to the left. When we multiply by 100 all of the digits in a number move two places to the left. 46 x 10 = x 10 = x 100 = H T U T U. t h TTh Th H T U Empty spaces in columns that come before the decimal point need to be filled with 0 s. Empty spaces in columns that come after the decimal point should be left empty. A. Fill in the answers to these multiplications. It might help you to write the numbers in columns like the examples. You can do this on Page 14 if you want to x 10 = x 10 = x 10 = x 10 = x 10 = x 100 = x 100 = x 100 = x 100 = x 100 = x = x = x = x = Multiplying by 20 is like multiplying by 2 then multiplying by 10 e.g. 36 x 20 = 36 x 2 x 10 = 72 x 10 = 720 B. Fill in the answers to these multiplications x 20 = x 20 = x 200 = x 30 = x 40 = x 500 = CIMT, University of Exeter 13

15 DIVIDING BY MULTIPLES OF 10 When we divide by 10 all of the digits in a number move one place to the right. When we divide by 100 all of the digits in a number move two places to the right = = = 645 H T U. t T U. t h TTh Th H T U. t h s that come after the decimal point, at the end of the number are not needed A. Fill in the answers to these divisions. It might help you to write the numbers in columns like the examples. You can do this on Page 14 if you want to = = = = = = = = = = = = = = Dividing by 20 is like dividing by 10 then dividing by 2. e.g = = 54 2 = 27 B. Fill in the answers to these divisions = = = = = = CIMT, University of Exeter 14

16 TTh Th H T U. t h th TTh Th H T U. t h th CIMT, University of Exeter 15

17 ADDITION A. Fill in the answers to each of these additions B. Set out these questions like the ones in Section A and then work out the answers CIMT, University of Exeter 16

18 SUBTRACTION A. Fill in the answers to each of these subtractions B. Set out these questions like the ones in Section A and then work out the answers CIMT, University of Exeter 17

19 MULTIPLICATION A. Fill in the answers to each of these multiplications x 3 x 5 x x 4 x 6 x x 8 x 24 x 35 B. Set out these questions like the ones in Section A and then work out the answers x x x x x x 25 CIMT, University of Exeter 18

20 DIVISION A. Fill in the answers to each of these divisions B. Set out these questions like the ones in Section A and then work out the answers CIMT, University of Exeter 19

21 PERCENTAGES AND DECIMALS 0% 50% 100% A. Mark the positions of the following decimals and percentages on the number line: % 3. 90% % % % % % % % % % B. Complete the table of equivalent decimals and percentages. Decimal Percentage 59% 74% 19% 37% 63% 70% 21% 6% CIMT, University of Exeter 20

22 FRACTIONS, DECIMALS AND PERCENTAGES A. Complete these families of fractions decimals and percentages. 50% 30% % % % B. Complete the table showing the fraction, decimal and percentage that is shaded in each shape. Shape A B C D E F G H I Fraction Decimal Percentage A B C D E 5 F G H I J CIMT, University of Exeter 21

23 USING FRACTIONS AND PERCENTAGES The items below are in a sale at a super store. Teddy Bear Coffee Maker Table Lamp Clock Radio % off Reduced by 1 3 of original price % off Bicycle Keyboard Camcorder % off Reduced by 30% 3 original price Television Briefcase Radio % discount Half price 75% of original price Work out the reduction for each item and complete the table below. Item Teddy Bear Original Price Reduction Sale Price Item Keyboard Original Price Reduction Sale Price CIMT, University of Exeter 22

24 Coffee Maker Table Lamp Clock Radio Bicycle Camcorder Television Briefcase Radio TIME A. Draw the hands in the correct positions on each clock face to represent the times given TWENTY PAST SIX CIMT, University of Exeter 23

25 TWENTY FIVE TO TEN CIMT, University of Exeter 24

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27 B. Underneath each clock, write the time shown on the clock face in words and in figures CIMT, University of Exeter 26

28 C. Compete the table for am and pm and 24-hour clock times. am / pm 9.30am 4.20pm 8.10am 7.15pm 24-hour clock B. Write down the amount of time between: am and 9.15am am and 1.35pm am and 5.49pm and and and D. This a time table for three trains travelling from Sheffield to London Sheffield Nottingham Leicester London At what time does the 0855 from Sheffield arrive in London?. 2. How long does this journey take? How long does the 1100 train fron Sheffield take to travel from Nottingham to Leicester? I am in Nottingham at How long must I wait for a train to London?... CIMT, University of Exeter 27

29 EXTRA ACTIVITIES CIMT, University of Exeter 28

30 ADDITION CROSSNUMBER PUZZLE ACROSS DOWN plus more than Add 283 to added to The sum of 19 and Increase 98 by added to The total of 86, 218 and added to added to Increase 59 by Twenty eight plus thirty seven more than Seven more than nineteen increased by plus Twenty three plus 7-down 15. the total of 76 and increased by Add together 47 and This number is the same backwards more than 12-across across plus 18-down added to 15-down 25. The sum of 286, 367 and plus 17 plus Four hundred and ninety-six plus one hundred and ninety. 22. See 30-across 30. The sum of the digits of 22-down down reversed plus The same as 16-across more than 3-across Increase 33-down by Increase 377 by See 38-Across 41. The sum of the digits of 3-across 35. The units digit is more than 35-down. 37. The sum of 32, 64 and The sum of the digits of CIMT, University of Exeter 29

31 NUMERACY WORD SEARCH y 14 E A N O I T C A R T B U S B F 13 K N I E Q U I V A L E N T R D 12 A O N S C L R O T C A F A E F 11 T I C G U A H I J H N C R K L 10 M T R N O M P Q A O T O T A L 9 D A E E R I S L I I U T X V U 8 N C A S Y C V T O N X Z X C B 7 A I S T A E I N D O U B L E E 6 S L E I D D I F F E R E N C E 5 U P G M D I V I S I O N H J F 4 O I I A P P R O X I M A T E K 3 H T L T E C U D E R M Z O Q S 2 T L N E P E G A T N E C R E P 1 R U T V Y S Q E S A E R C E D 0 U M I L L I O N D E R D N U H x Write down the co-ordinates of the first and last letter of each word. Remember to write the x co-ordinate first. Word Start Finish Word Start Finish ADDITION (, ) (, ) HUNDRED (, ) (, ) APPROXIMATE (, ) (, ) INCREASE (, ) (, ) DECIMAL (, ) (, ) MILLION (, ) (, ) DECREASE (, ) (, ) MULTIPLICATION (, ) (, ) DIFFERENCE (, ) (, ) PERCENTAGE (, ) (, ) DIVISION (, ) (, ) REDUCE (, ) (, ) DOUBLE (, ) (, ) ROUND (, ) (, ) EQUIVALENT (, ) (, ) SUBTRACTION (, ) (, ) ESTIMATE (, ) (, ) SUM (, ) (, ) FACTOR (, ) (, ) TAKE (, ) (, ) FRACTION (, ) (, ) THOUSAND (, ) (, ) HALVE (, ) (, ) TOTAL (, ) (, ) CIMT, University of Exeter 27

32 MAGIC SQUARES In magic squares, the sum of every row, every column and every diagonal is the same CIMT, University of Exeter 28

33 WALLS In these walls, each number is the difference between the two numbers above it CIMT, University of Exeter 29

34 TRIANGLES The number in each square is the sum of the numbers in the circles on both sides of it CIMT, University of Exeter 30