H OMEWORK B OOK - CIMT · umeracy mep n s ummer s chool h omework b ook © cimt, university of...

MEPNUMERACY

SUMMER SCHOOL

HOMEWORK BOOK

NAME

MEP NUMERACY SUMMER SCHOOL HOMEWORK BOOK

© CIMT, University of Exeter

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 ............................................................................. 12

MULTIPLYING BY MULTIPLES OF 10........................................................................................... 13

DIVIDING BY MULTIPLES OF 10.................................................................................................. 14

ADDITION .................................................................................................................................. 16

SUBTRACTION............................................................................................................................ 17

MULTIPLICATION....................................................................................................................... 18

DIVISION ................................................................................................................................... 19

PERCENTAGES AND DECIMALS................................................................................................... 20

FRACTIONS, DECIMALS AND PERCENTAGES ............................................................................... 21

USING FRACTIONS AND PERCENTAGES....................................................................................... 22

TIME ......................................................................................................................................... 23

ADDITION CROSSNUMBER PUZZLE ............................................................................................. 29

NUMERACY WORD SEARCH ........................................................................................................ 27

MAGIC SQUARES........................................................................................................................ 28

WALLS....................................................................................................................................... 29

TRIANGLES ................................................................................................................................ 30


© CIMT, University of Exeter 2

NUMERACY SUMMER SCHOOL HOMEWORK

The aim of the activities in this book is to help you to improve your numeracyskills.

v You must not use a calculator for any of the activities.

v Try to find a quiet place to work and sit at a table so that youcan do your best work.

v Do your homework early in the evening so that you are not too tired to do your work well.

v If you are having problems, try to find an adult who can help you.

v 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.

v 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.

v The pages at the front of this book are exercises which will be set bythe teacher. You will be told when to do these activities. The pagesat the back are extra tasks that you can do at any time if you want to.

v Fill in the record sheet for each piece of homework you do. Sign itand ask a parent to sign it. You can also make a comment if you want to.



RECORD OF HOMEWORK

Day Pupil’s Signature /CommentDate

Page(s)

Time Started Parent’s Signature / CommentTime FinishedTime Taken


Page(s)


Day Pupil’s Signature /Comment

DatePage(s)

Time Started Parent’s Signature / Comment

Time FinishedTime Taken


Page(s)Time Started Parent’s Signature / Comment

Time Finished

Time Taken


Page(s)





DatePage(s)




DatePage(s)





Time Finished

Time Taken


Page(s)



DatePage(s)





RECORD OF EXTRA WORK


Page(s)



Page(s)



DatePage(s)




Page(s)



DatePage(s)






DatePage(s)




DatePage(s)





Time Finished

Time Taken


Page(s)



DatePage(s)





PLACE VALUE

A. Write each of the following numbers in words.

1. 2 364 …………………………………………..…………………...

2. 3 045 .…..…………………………………………………..……...

3. 1 999 .…..………………………………………………..………...

4. 74 306 ……..……..………………………………………..………...

5. 84 293 …..…………..………………………………………..……...

B. Write each of the following numbers in figures.

1. Three thousand two hundred and forty one. ………...

2. One thousand four hundred and fifteen. ………….

3. Eight thousand and fifty six. …………..

4. Twenty five thousand seven hundred and ninety five. …………...

5. Seventeen thousand and three. …………..

C. Fill in the numbers in the boxes.

1. 6 831 = 6 000 + + 30 + 1

2. 5 172 = + 100 + + 2

3. 2 987 = + + +

4. 83 416 = 80 000 + 3 000 + + 10 +

5. 56 823 = + 6 000 + + 20 +



D. Fill in the numbers in the boxes.

1. 6 830 = 4 830 + 2. 9 152 = + 9 112

3. 7 654 = 9 654 - 4. 8 930 = - 1 000

5. 12 345 = 9 345 +

E. Round each of the numbers in the first column. The first one has beendone for you.

Number To the nearest10

To the nearest100

To the nearest1 000

1 5 326 5 330 5 300 5 0002 8 7643 6 0584 8 4755 14 362

F. Write these numbers in order starting with the smallest.

1. 3 642 , 3 624 , 6 243 , 4 623 , 3 426

………………………………………………………………………...

2. 6 032 , 6 320 , 6 230 , 6 302 , 6 203

………………………………………………………………………...

3. £6.28 , £6.54 , £8.37 , £7.56 , £9.00

………………………………………………………………………...

4. 8.325 , 8.3 , 8.35 , 8. 53 , 8.352

………………………………………………………………………...

5. 0 , -12 , -16 , -3 , -10

………………………………………………………………………...



ADDING AND SUBTRACTING IN YOUR HEAD

A Fill in the missing numbers.

1. 3 + 7 + 8 + 4 = 2. 6 + 9 + 5 + 2 =

3. 8 + 5 + 7 + 9 = 4. 4 + 14 + 6 + 9 =

5. 11 + 13 + 15 + 6 = 6. 3 + 8 + 5 + = 23

7. 6 + 9 + 4 + = 26 8. 9 + 8 + + 7 = 31

9. 12 + 16 + 9 + = 48 10. 14 + 9 + + 19 = 52

Adding 19 is the same as adding 20 then subtracting 1.

e.g. 27 + 19 = 27 + 20 - 1 = 46

Subtracting 49 is the same as subtracting 50 then adding 1.

e.g. 83 - 49 = 83 - 50 + 1 = 34

B Copy and complete the following:

1. Adding 29 is the same as ……………………………………………………..

46 + 29 = =

2. Subtracting 69 is the same as ………………………………………………..

93 - 69 = =

3. Adding 38 is the same as ……………………………………………………

27 + 38 = =


83 - 28 = =



Adding 41 is the same as adding 40 then adding 1

e.g. 146 + 41 = 146 + 40 + 1 = 187

Subtracting 51 is the same as subtracting 50 then subtracting 1.

e.g. 273 - 51 = 273 - 50 - 1 = 222

C Copy and complete the following:

1. Adding 61 is the same as ……………………………………………………..

123 + 61 = =


269 - 31 = =

3. Adding 68 is the same as ……………………………………………………

325 + 68 = =


297 - 58 = =

It is often easiest to add two numbers that are close together by doubling anumber and then adding or subtracting something .

e.g. 45 + 46 = 2 x 45 + 1 = 91

39 + 42 = 2 x 40 - 1 + 2 = 81

D Copy and complete the following:

1. 82 + 83 = ………………………………………………………………….

2. 78 + 79 = ………………………………………………………………….

3. 62 + 59 = ………………………………………………………………….



E Fill in the missing numbers. The first one has been done for you.

1. + 6 9 2. + 8 7 3. + 12 63 9 12 4 57 13 16 6 9

4. + 5 5. + 3 7 6. + 7 46 9 12 88 6 14

7. + 10 6 8. + 12 14 9. + 24 815 23 9

14 7 26

10. + 19 29 11. + 35 32 12. + 2723 39 18 3046 69 43

13. + 41 32 14. + 21 52 15. + 26 3227 37 2436 48 31

16. + 38 17. + 49 18. + 6829 38 54 9941 83 83 37 86



MULTIPLYING AND DIVIDING IN YOUR HEAD

A Complete the following tables.

1. x 2 4 6 2. x 6 5 91 9 42 56

10 153 30 4 24 32

12 20 457 21 12 308 80 18

3. x 9 2 5 4. x21 81

45 498 64

6 12 42 463 35 36

9 27 72 25

B. Continue these doubling and halving patterns.

1. 1 2 4

2. 3 6 12

3. 7 14 28

4. 2560 1280 640

5. 4608 2304 1152



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 = 460 3.25 x 10 = 32.5 645 x 100 = 64 500H T U T U . t h TTh Th H T U

4 6 3 . 2 5 6 4 54 6 0 3 2 . 5 6 4 5 0 0

Empty spaces in columns that come before the decimal point need to be filled with0’s. Empty spaces in columns that come after the decimal point should be leftempty.

A. Fill in the answers to these multiplications. It might help you to writethe numbers in columns like the examples. You can do this on ifyou want to.

1. 45 x 10 = ………… 2. 684 x 10 = …………

3. 1 562 x 10 = ……... 4. 6.48 x 10 = …………

5. 32.543 x 10 = ………… 6. 156 x 100 = …………

7. 2 314 x 100 = ………… 8. 16.35 x 100 = …………

9. 14 . 3 x 100 = ………… 10. 153.241 x 100 = …………

11. 46 x 1 000 = ………… 12. 43.27 x 1 000 = …………

13. 178 x 10 000 = ………… 14. 271 x 100 000 = …………

Multiplying by 20 is like multiplying by 2 then multiplying by 10e.g. 36 x 20 = 36 x 2 x 10 = 72 x 10 = 720

B. Fill in the answers to these multiplications.

1. 32 x 20 = ………… 2. 17 x 20 = …………

3. 46 x 200 = ………… 4. 15 x 30 = …………

5. 32 x 40 = ………… 6. 21 x 500 = …………



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.

460 ÷ 10 = 46 32.5 ÷ 10 = 3.25 64 500 ÷ 100 = 645H T U . t T U . t h TTh Th H T U . t h4 6 0 . 3 2 . 5 6 4 5 0 0 .

4 6 . 0 3 . 2 5 6 4 5 . 0 0

0’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 thenumbers in columns like the examples. You can do this on Page 14 if youwant to.

1. 360 ÷ 10 = ………… 2. 890 ÷ 10 = …………

3. 2 350 ÷ 10 = …….….. 4. 35 ÷ 10 = …………

5. 326 ÷ 10 = ………… 6. 2 600 ÷ 100 = …………

7. 4 750 ÷ 100 = ………… 8. 32.65 ÷ 10 = …………

9. 27 . 3 ÷ 100 = ………… 10. 1963.5 ÷ 100 = …………

11. 83 000 ÷ 1 000 = ………… 12. 123 400 ÷ 1 000 = …………

13. 64 000 000 ÷ 10 000 = ………… 14. 66 875 ÷ 10 000 = …………

Dividing by 20 is like dividing by 10 then dividing by 2.

e.g. 540 ÷ 20 = 540 ÷ 10 ÷ 2 = 54 ÷ 2 = 27

B. Fill in the answers to these divisions.

1. 480 ÷ 20 = ………… 2. 540 ÷ 20 = …………

3. 2600 ÷ 200 = ………… 4. 750 ÷ 30 = …………

5. 760 ÷ 40 = ………… 6. 8500 ÷ 500 = …………



TTh Th H T U . t h th TTh Th H T U . t h th



ADDITION

A. Fill in the answers to each of these additions.

1. 3 6 2 2. 6 4 5 3. 1 2 6 4 + 4 1 0 + 3 1 4 + 3 7 3 5 ______ _____ ______

4. 4 7 6 5. 3 9 7 6. 5 9 8 2 + 2 5 8 + 4 4 6 + 2 4 0 9 _____ _____ ______

7. 4 1 8 8. 3 4 7 9. 5 4 93 2 7 5 9 4 8

+ 1 2 4 + 8 2 4 + 6 1 3 5 _____ _____ _____

B. Set out these questions like the ones in Section A and then work out theanswers.

1. 284 + 165 2. 496 + 129

3. 5 107 + 2 658 4. 464 + 2 929 + 76

5. 538 + 41 + 9 + 3 640 6. 9 651 + 39 + 5 + 764



SUBTRACTION

A. Fill in the answers to each of these subtractions.

1. 6 7 8 2. 8 4 9 3. 8 7 6 9 - 3 2 5 - 3 1 4 - 3 7 4 5 ______ _____ ______

4. 6 7 4 5. 8 1 3 6. 5 0 3 2 - 2 9 8 - 4 7 6 - 2 6 0 3 _____ _____ ______

7. 1 0 2 7 8. 5 0 0 3 9. 9 0 7 0 - 8 6 9 - 4 8 2 4 - 4 1 7 5 ______ ______ _____


1. 860 - 145 2. 5 621 - 2 193

3. 4 807 - 986 4. 7 841 - 386

5. 6 005 - 1 448 6. 80 921 - 79 284



MULTIPLICATION

A. Fill in the answers to each of these multiplications.

1. 6 3 2. 1 2 6 3. 1 3 6 7 x 3 x 5 x 2 ____ _____ ______

4. 3 7 6 5. 6 4 5 6. 5 0 3 2 x 4 x 6 x 7 _____ _____ ______

7. 1 0 2 7 8. 2 5 4 9. 1 3 6 2 x 8 x 24 x 35


1. 362 x 4 2. 5 321 x 5

3. 678 x 7 4. 2 375 x 9

5. 634 x 17 6. 4 526 x 25



DIVISION

A. Fill in the answers to each of these divisions.

1. 2. 3. .

2 6 8 4 4 8 4 8 5 6 0 5

4. 5. 6. .

3 7 3 8 6 8 2 2 8 1 8 8 8

7. 8. 9. .

7 3 9 2 0 9 2 7 5 4 15 3 8 5 5


1. 712 ÷ 4 2. 985 ÷ 5

3. 3 276 ÷ 7 4. 5 056 ÷ 8

5. 7 488 ÷ 9 6. 5 925 ÷ 25



PERCENTAGES AND DECIMALS

0% 50% 100%

0.0 0.5 1.0

A. Mark the positions of the following decimals and percentages on the number line:

1. 0.6 2. 40% 3. 90% 4. 0.2 5. 0.8 6. 70%

7. 0.3 8. 10% 9. 0.7 10. 605 11. 20% 12. 0.1

13. 80% 14. 0.4 15. 30% 16. 0.9 17. 25% 18. 0.36

19. 63% 20. 0.75 21. 42% 22. 0.08 23. 5% 24. 0.66

B. Complete the table of equivalent decimals and percentages.

Decimal 0.2 0.3 0.46 0.35 0.99 0.04 0.31 1.0

Percentage 59% 74% 19% 37% 63% 70% 21% 6%



FRACTIONS, DECIMALS AND PERCENTAGES

A. Complete these families of fractions decimals and percentages.

50% 30%1

20.5 0.25 2

5

90% 33 1

3%

0.2 3

4

70%1

100.6 4

5

B. Complete the table showing the fraction, decimal and percentage that isshaded in each shape.

Shape A B C D E F G H IFractionDecimalPercentage

A B C D E

F G H I J



USING FRACTIONS AND PERCENTAGES

The items below are in a sale at a super store.

Teddy Bear Coffee Maker Table LampClock Radio £12 £25 £8 £20 25% off Reduced by 1

5 3

4 of original price

10% off Bicycle Keyboard Camcorder

£120 £250 £180

20% off Reduced by 30% 1

3 off

original price Television Briefcase Radio

£400 £39.50

£28 40% discount Half price 75% of

original price

Work out the reduction for each item and complete the table below.

Item OriginalPrice

Reduction SalePrice

Item OriginalPrice

Reduction SalePrice

Teddy Bear Keyboard



Coffee Maker Camcorder

Table Lamp Television

Clock Radio Briefcase

Bicycle Radio

TIME

A. Draw the hands in the correct positions on each clock face to represent thetimes given.

1.

8.35

12.40

3.

TWENTY PAST SIX

•

•

•

• •

•

•

•

••

•

•

•

1211

10

9

8

7 6 54

3

21

•

•

•

• •

•

•

•

••

•

•

•

1211

10

9

8

7 6 54

3

21



2.

10.40

8.054.

TWENTY FIVE TO TEN

•

•

•

• •

•

•

•

••

•

•

•

1211

10

9

8

7 6 54

3

21

•

•

•

• •

•

•

•

••

•

•

•

1211

10

9

8

7 6 54

3

21



B. Underneath each clock, write the time shown on the clock face in words and in figures

1.

………………………………………

……………………………………….

3.

………………………………………

……………………………………….

2.

………………………………………

……………………………………….

4.

……………………………………

……………………………………….

•

•

•

• •

•

•

•

••

•

•

•

1211

10

9

8

7 6 54

3

21

•

•

•

• •

•

•

•

••

•

•

•

1211

10

9

8

7 6 54

3

21

•

•

•

• •

•

•

•

••

•

•

•

1211

10

9

8

7 6 54

3

21

•

•

•

• •

•

•

•

••

•

•

•

1211

10

9

8

7 6 54

3

21



C. Compete the table for am and pm and 24-hour clock times.

am / pm 9.30am 4.20pm 8.10am 7.15pm24-hour

clock 0615 1145 2130 1440

B. Write down the amount of time between:

1. 8.30am and 9.15am 2. 11.30am and 1.35pm

……………………………… ……………………………..

3. 10.17am and 5.49pm 4. 0615 and 1100

……………………………… ……………………………..

5. 1430 and 1700 6. 1617 and 2003

……………………………… ……………………………..

D. This a time table for three trains travelling from Sheffield to London

Sheffield Nottingham Leicester London0855 1000 1030 12151100 1200 1227 14081300 13.55 1420 1550

1. At what time does the 0855 from Sheffield arrive in London? …………….

2. How long does this journey take? …………………...

3. How long does the 1100 train fron Sheffield take to travel from Nottingham

to Leicester? …………………...

4. I am in Nottingham at 1215. How long must I wait for a train to London?

…………………...



EXTRAACTIVITIES



ADDITION CROSSNUMBER PUZZLE1 2 3 4 5 6 7

8 9 10

11 12 13 14

15 16

17 18 19 20 21

22 23 24

25 26 27 28 29

30 31 32 33 34 35

36 37 38 39

40 41 42

ACROSS1. 39 plus 572. Add 283 to 4756. The sum of 19 and 688. Increase 98 by 329. The total of 86, 218 and 23512. 42 added to 2413. Twenty eight plus thirty seven16. 29 more than 5717. 56 increased by 2519. Twenty three plus 7-down21. 14 increased by 6922. This number is the same backwards23. 3-across plus 18-down25. The sum of 286, 367 and 32528. Four hundred and ninety-six plus one

hundred and ninety .30. The sum of the digits of 22-down32. 547 + 31634. 39 plus 5436. 19 more than 3-across38. Increase 33-down by 13240. 352 + 409 + 18641. The sum of the digits of 3-across42. 590 more than 35-down.

DOWN2. 26 more than 353. 420 added to 2964. 44 + 95. 454 added to 3526. 42 added to 437. Increase 59 by 1410. 351 + 167 + 42811. Seven more than nineteen.14. 28 plus 2415. the total of 76 and 2316. Add together 47 and 3617. 18 more than 12-across18. 60 added to 15-down20. 16 plus 17 plus 3621. 632 + 24622. See 30-across24. 2-down reversed26. 108 + 216 + 46327. The same as 16-across29. 23 + 23 + 2331. Increase 377 by 9733. See 38-Across35. The units digit is 737. The sum of 32, 64 and 1939. The sum of the digits of 736 426



NUMERACY WORD SEARCH

y14 E A N O I T C A R T B U S B F13 K N I E Q U I V A L E N T R D12 A O N S C L R O T C A F A E F11 T I C G U A H I J H N C R K L10 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 U8 N C A S Y C V T O N X Z X C B7 A I S T A E I N D O U B L E E6 S L E I D D I F F E R E N C E5 U P G M D I V I S I O N H J F4 O I I A P P R O X I M A T E K3 H T L T E C U D E R M Z O Q S2 T L N E P E G A T N E C R E P1 R U T V Y S Q E S A E R C E D0 U M I L L I O N D E R D N U H

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 x

Write down the co-ordinates of the first and last letter of each word. Rememberto write the x co-ordinate first.

Word Start Finish Word Start FinishADDITION ( , ) ( , ) HUNDRED ( , ) ( , )APPROXIMATE ( , ) ( , ) INCREASE ( , ) ( , )DECIMAL ( , ) ( , ) MILLION ( , ) ( , )DECREASE ( , ) ( , ) MULTIPLICATION ( , ) ( , )DIFFERENCE ( , ) ( , ) PERCENTAGE ( , ) ( , )DIVISION ( , ) ( , ) REDUCE ( , ) ( , )DOUBLE ( , ) ( , ) ROUND ( , ) ( , )EQUIVALENT ( , ) ( , ) SUBTRACTION ( , ) ( , )ESTIMATE ( , ) ( , ) SUM ( , ) ( , )FACTOR ( , ) ( , ) TAKE ( , ) ( , )FRACTION ( , ) ( , ) THOUSAND ( , ) ( , )HALVE ( , ) ( , ) TOTAL ( , ) ( , )



MAGIC SQUARES

In magic squares, the sum of every row, every column and every diagonal is thesame.

6 3 16

7 5 11 9

2 6 11 4 6

11 3 5 18 4 14

4 6 12

10 9 9



WALLS

In these walls, each number is the difference between the two numbers above it.

7 3 5 8 2 4 6

1

4 2 5 9 13



TRIANGLES

The number in each square is the sum of the numbers in the circles on both sidesof it.

28

75

12

28

829

648 239

10

8 6

25

98

H OMEWORK B OOK - CIMT · umeracy mep n s ummer s chool h omework b ook © cimt, university of...

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Transcript of H OMEWORK B OOK - CIMT · umeracy mep n s ummer s chool h omework b ook © cimt, university of...