Count in multiples of 6, 7, 8, 9 and 25

Count in multiples of 6, 7, 8, 9 and 25 Counting on and back. Example: Count on in multiples of 6 from 66 66 72 78 84 90 96 1. Count on in multiples of 6 from 90 90 2. Count on in multiples of 7 from 112 112 3. Count on in multiples of 9 from 99 99 4. Count back in multiples of 6 from 120 120 5. Count back in multiples of 7 from 98 98 6. Count back in multiples of 9 from 180 180 1 P a g e

Count in multiples of 6, 7, 8, 9 and 25 Counting on and back. Example: Count on in multiples of 6 from 72 72 78 84 90 96 102 1. Count on in multiples of 6 from 108 108 2. Count on in multiples of 7 from 175 175 3. Count on in multiples of 9 from 279 279 4. Count back in multiples of 6 from 210 210 5. Count back in multiples of 7 from 252 252 6. Count back in multiples of 9 from 324 324 2 P a g e

Count in multiples of 6, 7, 8, 9 and 25 Counting in twenty fives I m counting up in twenty fives today. See if you can fill in the gaps in these sequences. 1. 25 50 2. 100 3. 325 375 4. 450 5. 500 6 675 3 P a g e

Count in multiples of 6, 7, 8, 9 and 25 Counting back in twenty fives Now try counting down in twenty fives. 1. Count down in twenty fives from 600. 600 575 2. Count down in twenty fives from 750. 750 3. Count down in twenty fives from 975. 975 4. Count down in twenty fives from 125. 125 4 P a g e

Find 1, 10, 100, 1000 more ADDING/SUBTRACTING - MORE THAN/ LESS THAN Write down what is one more than: 1) 3 478 2) 5 467 3) 3 579 4) 2 699 5) 3 999 6) 2 001 7) 1 991 8) 2749 9) 8 699 10) 2 999 Addy loves counting on really quickly: One thousand, nine hundred and ninety eight, one thousand nine hundred and ninety nine, two thousand Write down what is one less than: 11) 2 635 12)5 434 13) 7 660 14) 5 200 15)1 000 16) 4 875 17) 6 820 18) 3700 19) 4 000 20) 7 000 5 P a g e

Find 1, 10, 100, 1000 more ADDING/SUBTRACTING - MORE THAN/ LESS THAN Write down what is one more than: 1) 4 589 2) 6 578 3) 4 629 4) 3 799 5) 4 999 6) 3 001 7) 2 882 8) 3679 9) 9 599 10) 1 999 Subby is even quicker at counting down! One thousand and one, one thousand, nine hundred and ninety nine.. Write down what is one less than: 11) 3 744 12) 6 545 13) 8 220 14) 4 100 15) 6 000 16) 5 984 17) 5 730 18) 2 600 19) 9 000 20) 2 000 6 P a g e

Find 1, 10, 100, 1000 more ADDING/SUBTRACTING - MORE THAN/ LESS THAN Counting in tens: one thousand nine hundred and eighty five, one thousand nine hundred and ninety five, two thousand and five, two thousand and fifteen. Write down ten more than each of these numbers: 1) 1 829 2) 1 955 3) 4 690 4) 3 799 5) 3 999 6) 3 246 7) 5 722 8) 4 094 9) 6 991 10) 2 999 Five thousand and eleven, five thousand and one, four thousand nine hundred and ninety one. What is TEN less than: 11) 2 983 12) 2 349 13) 4 320 14) 3 600 15) 4 001 16) 7 665 17) 4 295 18) 6 540 19) 2 900 20) 8 000 7 P a g e

Find 1, 10, 100, 1000 more ADDING/SUBTRACTING - MORE THAN/ LESS THAN Write down ten more than these numbers: Counting in tens: two thousand nine hundred and eighty six, two thousand nine hundred and ninety six, three thousand and six, three thousand and sixteen. 1) 1 939 2) 1 845 3) 5 790 4) 4 199 5) 8 999 6) 3 336 7) 5 622 8) 1 098 9) 4 993 10) 4 999 Four thousand and twelve, four thousand and two, three thousand nine hundred and ninety two. What is TEN less than: 11) 2 663 12) 2 449 13) 4 150 14) 2 300 15) 6 006 16) 7 885 17) 4 385 18) 2 120 19) 7 300 20) 7 000 8 P a g e

Find 1, 10, 100, 1000 more ADDING/SUBTRACTING - MORE THAN/ LESS THAN Make the following numbers 100 more and put the answer in the box: 1. 6 500 2. 4 444 3. 6 350 4. 5 974 5. 4 999 6. 2 901 Make the following numbers 100 less and put the answer in the box: 7. 3 790 8. 2 987 9. 4 970 10. 5 090 11. 1 002 12. 6 023 Count on in hundreds from 769: 769 9 P a g e

Find 1, 10, 100, 1000 more ADDING/SUBTRACTING - MORE THAN/ LESS THAN Make the following numbers 100 more and put the answer in the box: 1. 7 329 2. 5 555 3. 2 790 4. 4 795 5. 3 980 6. 5 912 Make the following numbers 100 less and put the answer in the box: 7. 4 680 8. 7 892 9. 3 922 10. 7 047 11. 4 005 12. 9 001 Count on in hundreds from 878: 878 10 P a g e

Find 1, 10, 100, 1000 more Counting on and counting back. Example: Count on in ones, to 5 more than 248 248 249 250 251 252 253 1. Count on in ones, to 5 more than 679: 679 2. Count on in tens, to 50 more than 679 679 3. Count on in hundreds, to 500 more than 679 679 4. Count on in thousands, to 5 000 more than 2 780 2780 5. Count back in ones, to 5 less than 842 842 6. Count back in tens, to 50 less than 842 842 7. Count back in hundreds, to 500 less than 1 250 1 250 11 P a g e

Find 1, 10, 100, 1000 more Counting on in ones from 852 to 857: 852 853 854 855 856 857 1. Count on in ones from 874 to 879: 874 2. Count on in tens from 460 to 510: 460 3. Count on in hundreds from 768 to 1 268 768 4. Count on in hundreds from 3 490 to 3 990: 3 490 5. Count back in ones from 673 to 668: 673 6. Count back in tens from 427 to 377: 427 7. Count back in hundreds from 1 366 to 866 1 366 12 P a g e

Find 1, 10, 100, 1000 more 1. Starting with 24, how many tens do you need to add to get to more than 100? 2. Starting with 67, how many tens do you need to add to get more than 100? 3. Starting with 136, how many tens do you need to add to get more than 200? 4. Starting with 345, how many tens do you need to add to get to more than 400? 5. Starting with 107, how many tens do you need to add to get to more than 200? 6. Count on in hundreds from 350 to 850. How many hundreds did you count? 7. Count on in hundreds from 460 to 760. How many hundreds did you count? 8. Count on in hundreds from 650 to 1 150. How many hundreds did you count? 9. Count on in hundreds from 475 to 1 475. How many hundreds did you count? 10. Count on in hundreds from 208 to 1 108. How many hundreds did you count? 11. Count back in tens from 768 to 728. How many tens did you count? 12. Count back in tens from 934 to 884. How many tens did you count? 13. Count back in tens from 1 106 to 1 006. How many tens did you count? 14. Count back in tens from 1 566 to 1 466. How many tens did you count? 15. Count back in tens from 2 105 to 1 985. How many tens did you count? 16. Count back in hundreds from 2 967 to 2 267. How many hundreds did you count? 17. Count back in hundreds from 2 756 to 2 156. How many hundreds did you count? 18. Count back in hundreds from 1 438 to 538. How many hundreds did you count? 19. Count back in hundreds from 7 980 to 5 780. How many hundreds did you count? 20. Count back in hundreds from 3 333 to 2 433. How many hundreds did you count? 13 P a g e

Find 1, 10, 100, 1000 more 1. Starting with 35, how many tens do you need to add to get to more than 100? 2. Starting with 56, how many tens do you need to add to get more than 100? 3. Starting with 129, how many tens do you need to add to get more than 200? 4. Starting with 456, how many tens do you need to add to get to more than 500? 5. Starting with 87, how many tens do you need to add to get to more than 200? 6. Count on in hundreds from 270 to 770. How many hundreds did you count? 7. Count on in hundreds from 180 to 680. How many hundreds did you count? 8. Count on in hundreds from 390 to 1 190. How many hundreds did you count? 9. Count on in hundreds from 285 to 1 385. How many hundreds did you count? 10. Count on in hundreds from 103 to 1 303. How many hundreds did you count? 11. Count back in tens from 954 to 914. How many tens did you count? 12. Count back in tens from 718 to 698. How many tens did you count? 13. Count back in tens from 1 406 to 1 386. How many tens did you count? 14. Count back in tens from 1 422 to 1 322. How many tens did you count? 15. Count back in tens from 2 207 to 1 987. How many tens did you count? 16. Count back in hundreds from 3 857 to 3 057. How many hundreds did you count? 17. Count back in hundreds from 1 944 to 1 144. How many hundreds did you count? 18. Count back in hundreds from 1 549 to 649. How many hundreds did you count? 19. Count back in hundreds from 6 078 to 5 378. How many hundreds did you count? 20. Count back in hundreds from 4 444 to 2 444. How many hundreds did you count? 14 P a g e

Read and write whole numbers. Partition numbers into ThHTU SPELLING Revise spellings of one to ten, plus: Won't be long before I'm in my teens! eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty thirty forty fifty sixty seventy eighty ninety hundred thousand digit Try writing these in numbers: 1. Two thousand, three hundred. 2. Six thousand, five hundred and twenty six. 3. Five hundred and ninety. 4. Seven thousand and fifty two. 5. Three thousand nine hundred and seven. 6. Eight thousand and forty. 7. Two thousand two hundred and two. 8. Six thousand and nineteen. 15 P a g e

Read and write whole numbers. Partition numbers into ThHTU thousands units u h t u 2 8 1 3 The number above is two thousand, eight hundred and thirteen The digit 2 is worth 2 000 The digit 8 is worth 800 The digit 1 is worth 10 The digit 3 is worth 3 Write down the value of the digits underlined in the numbers below. 1. 6 000 2. 4 289 6. 5 492 7. 2 194 3. 8 112 4. 9 208 5.6 658 8. 6 541 9. 1 200 10. 9 002 Let's see, thousands, hundreds, tens and units. Now, try to write out these numbers IN WORDS. The first one is done for you! 11. 3 456 three thousand, four hundred and fifty six. 12. 5 678 13. 4 301 14. 7 890 15. 4 200 16 P a g e

Read and write whole numbers. Partition numbers into ThHTU 7 428 = 7 000 + 400 + 20 + 8 What numbers need to go in the boxes below? 1. 3 718 = 3 000 + + 10 + 8 2. 2 569 = 2 000 + 500 + + 9 3. 5 444 = + 400 + 40 + 4 4. 6 666 = 6 000 + + 60 + 6 5. 7777 = 7 000 +700 + + 7 In the number 9 876 there are: 9 thousands and 8 hundreds and 7 tens and 6 units I think I get it! 6. How many thousands are there in 4 089? 7. How many thousands are there in 6 123? 8. What is the value of the 6 in 4 690? 9. What is the value of the 4 in 3 457? 10. What is the value of the 6 in 2 468? 17 P a g e

Read and write whole numbers. Partition numbers into ThHTU Th H T U This abacus shows 3 thousands, 5 hundreds, 5 tens and 6 units. The number is written 3 556 In words: three thousand, five hundred and fifty six. Write down what the abacus shows for this: Let's see - it looks like 7 units. Th H T U 18 P a g e

Read and write whole numbers. Partition numbers into ThHTU What numbers do these show? Write the answers IN FIGURES and then IN WORDS. 1. 2. Th H T U Th H T U 3. 4. I'm getting the hang of this now - quite easy really! 5. 6. 7. 8. 19 P a g e

Read and write whole numbers. Partition numbers into ThHTU PLACE VALUE - CALCULATOR WORK For each of the following you are only allowed to carry out one operation - this means type in the original number, then type in a sign, a number of your choice and the equals sign - once only! 1. Change 5 346 to 6 346 2. Change 7 781to 7 681 3. Change 8 000to 7 700 4. Change 5 645 to 5 655 5. Change 2 100 to 6 100 Work out the following: 6. Which is more: 15 tens or 2 hundreds? 7. Which is more: 1 thousand or 12 hundreds? 8. Which is less: 4 hundred or 41 tens? 9. Which is more: 2 thousand or 22 hundreds? 10. Which is less: 6 thousands or 58 hundreds? Make the BIGGEST number that you can from the following digits. Write the number down. Then make the SMALLEST possible number. Take the smallest from the largest, using a calculator. 11. 4, 7, 8, 6 12. 9, 0, 4, 2 13. 5, 3, 1, 4 14. 6, 7, 6, 7 15. 9, 0, 9, 0 20 P a g e

Revise vocabulary for comparing and ordering numbers More than - less than with negative numbers > < < means " is less than". You might see: -6 < -4 This means -6 is less than -4 > means " is more than". You might see -4 > -6 This means -4 is more than -6 Put the correct sign in these statements: 1. -5-8 2. -3-5 3. -8-2 4. -3-7 5. -1-6 6. -5-2 7. -8-9 8. -9-4 21 P a g e

Revise vocabulary for comparing and ordering numbers More than - less than with negative numbers < > Be careful with negative numbers: -1 is less than 0. Remember: < means "is less than" and > means "is more than" Put the correct sign in these statements: 1. -65-72 2. -9-16 3. -38-27 4. -28-44 5. -29-43 6. -51-36 7. -62-54 8. -22-38 9. -34-29 10. -99-12 22 P a g e

Revise vocabulary for comparing and ordering numbers COMPARING NUMBERS 1. Which is more: 6 315 or 5 135? 2. Which is more: 4 769 or 6 135? 3. Which is more: 2 759 or 2 579? 4.Which is more: 9 035 or 9 305? 4 967m is 5.Which is more: 7 645 or 7 654? much further than 6.Which is longer: 3 158 m or 3 518 m? 4 679m. I think.. 7. Which is longer: 4 602 m or 4 062 m? 8. Which is longer: 7 060 m or 7 600 m? 9. Which is shorter: 3 135 km or 3 351 km? 10. Which is shorter: 5 476 km or 5 764 km? 11. Is 7 601 a smaller amount than 7 061? 12. Is 2 760 a larger amount than 2 670? 13. Is 3 050 less than 3 005? 14. Sam has walked 5 367 metres. Jim has walked 5 377 metres. Who has walked further? How many metres further? 15. Sarah has saved 1 056. Jenny has saved 1 059. Who has saved the most? How much more has she saved? 23 P a g e

Revise vocabulary for comparing and ordering numbers COMPARING NUMBERS 1. Which is more: 4 378 or 4 783? 2. Which is more: 5 409 or 5 904? 3. Which is more: 1 837 or 1 738? 4. Which is more: 2 244 or 2 442? 5. Which is more: 9 823 or 9 283? 6. Which is longer: 5 801 m or 5 108 m? 7. Which is longer: 6 488 m or 6 884 m? 8. Which is longer: 1 005 m or 1 050 m? 9. Which is shorter: 4 790 km or 4 079 km? 10. Which is shorter: 1 773 km or 1 737 km? I think I would rather have 6 501, given the choice. 11. Is 6 501 a smaller amount than 6 051? 12. Is 2 845 a larger amount than 2 854? 13. Is 7 654 less than 7 546? 14. Karen has walked 4 978 metres. Neeta has walked 4 878 metres. Who has walked further? How many metres further? 15. Chris has saved 2 375. James has saved 2 395. Who has saved the most? How much more has he saved? 24 P a g e

Revise vocabulary for comparing and ordering numbers NUMBER LINES 1. Show on the number line what number is half way between 630 and 640. 630 640 2. Show on the number line what number is half way between 1 000 and 1 100. 1 000 1 100 3. Show on the number line what number is half way between 1 240 and 1 260. 1 240 1 260 4. Show on the number line what number is half way between 2 450 and 2480. 2 450 2 Without using a number line write down what is half way between these numbers: 5. 4 350 and 4 360 6. 7 660 and 7 860 7. 5 900 and 6 000 8. 2 200 and 2 240 9. 3 450 and 3 650 10. 5 480 and 5 500 11. My score for a test was half way between the bottom mark of 150 and the top mark of 170. What was my score? 12. Sarah is 130 cm tall. Carol is 160 cm tall. Lindy is half way between the heights of Sarah and Carol. How tall is she? 25 P a g e

Revise vocabulary for comparing and ordering numbers NUMBER LINES 1. Show on the number line what number is half way between 420 and 430. 420 430 2. Show on the number line what number is half way between 1 200 and 1 300. 1 200 1 300 3. Show on the number line what number is half way between 1 380 and 1 400. 1380 1 400 4. Show on the number line what number is half way between 2 360 and 2 390. 2 360 2 Without using a number line write down what is half way between these numbers: 5. 4 470 and 4 480 6. 7 800 and 8 000 7. 4 900 and 5 100 8. 2 800 and 3 400 9. 3 950 and 4 150 10. 5 900 and 6 900 11. Tim scored 140 in his end of term test. Carl got the top mark of 200. Matthew scored half way between Tim and Carl. What was his score? 12. Steve is 120 cm tall. Kevin is 160 cm tall. Andy is half way between the heights of Steve and Kevin. How tall is he? 26 P a g e

Revise vocabulary for comparing and ordering numbers Fill in the missing numbers on these number lines: Check whether the numbers are going up in ones, tens or hundreds. 1. 3 000 3 001 3 005 3 006 2. 2 450 2 460 2 480 2 500 3. 5 470 5 490 5 510 5 520 4. 2 800 2 900 3 300 3 400 5. My car cost between 7 950 and 8 250. Suggest what it might have cost. 6. A family took between $ 4 900 and $ 5 100 dollars on holiday with them to Florida. Suggest exactly how much they might have taken. 27 P a g e

Revise vocabulary for comparing and ordering numbers Fill in the missing numbers on these number lines: Are they going up in ones, tens or hundreds? 1. 1 245 1 246 1 250 1 251 2. 7 680 7 690 7 710 7 730 3. 2 080 2 100 2 120 2 130 4. 6 700 6 800 7 200 7 300 5. Holidays to France cost between 1 350 and 1 500. Suggest what a holiday might have cost. 6. What is half way between 2 400 and 3 400? 28 P a g e

Revise vocabulary for comparing and ordering numbers Put these numbers in order, starting with the smallest: 1. 4 621 6 421 2 146 4 261 6 142 2. 7 070 7 700 7 007 0 707 0 770 3. 1 234 2 341 4 321 3 241 3 142 4. 5 739 5 379 5 397 5 793 5 973 Put these numbers in order, starting with the largest: 5. 2 468 4 268 2 684 2 864 2 648 6. 8 012 8 102 8 120 8 021 8 201 7. Put these rivers in order of size, starting with the longest: River Yukon 3 184 km River Mississippi 3 778 km River Danube 2 858 km River Murray 2 520 km River Zambesi 2 735 km How many ssss? 8. If 3 250 < < 3 260, list all the whole numbers could be. 9. TRUE or FALSE? 3 579 > 4 879 10. TRUE or FALSE? 2 047 > 1 999 Put the correct sign in the box to make these statements true 11. 2 850 2 580 12. 4 444 3 333 13. 5 278 8 257 14. 1 166 1 616 29 P a g e

Recognise and order negative numbers 1. a) Use the pack of positive and negative number cards and put all the numbers in order, smallest first. b) Put all the even numbers in order, smallest first. Miss out the odd numbers. c) Put all the three times table in order, smallest first. Miss out the other numbers. 2. Practise counting backwards from 5 to 5. Can you do this without making a mistake? 3. Put the missing numbers on the rectangles, so that the numbers are in sequence. 2 1 1 3 No problem! 4. Fill in the missing numbers on the number line. 4 2 0 2 3 30 P a g e

Recognise and order negative numbers 1. a) Use the pack of positive and negative number cards and put all the numbers in order, largest first. b) Put all the odd numbers in order, largest first. Miss out the even numbers. c) Put all the four times table in order, largest first. Miss out the other numbers. 2. Practise counting backwards from 6 to 6 in twos. Can you do this without making a mistake? 3. Put the missing numbers on the rectangles, so that the numbers are in a sequence of even numbers. 6 0 4 Piece of cake! 4. Fill in the missing numbers on the number line. 4 3 1 0 2 31 P a g e

Recognise and order negative numbers 1. Draw an arrow pointing to 1. 4 3 2. This thermometer shows a temperature of 3 o C. 5 4 3 2 1 0 1 2 3 4 5 6 7 8 o C Who's turned off the heating? What temperature does this thermometer show? 5 4 3 2 1 0 1 2 3 4 5 6 7 8 o C 3. Measure some cold temperatures yourself using a strip thermometer. If it is a warm day, ask your teacher or parent if you may put some things in the freezer for a few minutes. What is the temperature inside your fridge? 4. Which temperature is greater: 6 o C or 3 o C? 32 P a g e

Recognise and order negative numbers 1. Draw an arrow pointing to 3. 6 2 2. This thermometer shows a temperature of 4 o C. 9 8 7 6 5 4 3 2 1 0 1 2 3 4 oc OK, this has gone far enough! It's getting cold in here. What temperature does this thermometer show? 9 8 7 6 5 4 3 2 1 0 1 2 3 4 oc 3. Ask your teacher or parent if you may put a solid object such as a piece of wood in the freezer for a while. Take it out and measure its temperature every ten minutes using a strip thermometer. Put your results in a table. 4. Put these temperatures in order, lowest first: 1 o C, 0 o C, 5 o C, 2 o C, 4 o C, 3 o C 33 P a g e

Recognise and order negative numbers 1. What numbers are the arrows pointing at? A B C D 8 6 4 2 0 2 4 6 8 10 12 14 16 2. What numbers are the arrows pointing at? A B C D 8 6 4 2 0 2 4 6 8 10 12 14 16 I can do these lying down. 3. What numbers are the arrows pointing at? A B C D 18 16 14 12 10 8 6 4 2 0 2 4 6 34 P a g e

Recognise and order negative numbers 1. What numbers are the arrows pointing at? A B C D 16 14 12 10 8 6 4 2 0 24 6 8 2. What numbers are the arrows pointing at? A B C D 8 6 4 2 0 2 4 6 8 10 12 14 16 Maths is so relaxing. 3. What numbers are the arrows pointing at? A B C D 18 16 14 12 10 8 6 4 2 0 2 4 6 35 P a g e

Recognise and order negative numbers 1. Put arrows on the even numbers. The first three have been done for you. 9 8 7 6 5 4 3 2 1 0 1 2 3 2. Put arrows on the three times table. The first two have been done for you. 9 8 7 6 5 4 3 2 1 0 1 2 3 3. Put arrows on the four times table. 9 8 7 6 5 4 3 2 1 0 1 2 3 Tables in the negative numbers, eh? Very interesting. 36 P a g e

Recognise and order negative numbers 1. Put arrows on the odd numbers. The first two have been done for you. 9 8 7 6 5 4 3 2 1 0 1 2 3 2. Put arrows on the five times table. The first one has been done for you. 10 9 8 7 6 5 4 3 2 1 0 1 2 3. Put arrows on the seven times table. 18 16 14 12 10 8 6 4 2 0 2 4 6 7 You will be asking me to learn my negative two times table next! 37 P a g e

Extend number sequences by counting on and back Fill in the missing numbers in these sequences: 1. 53, 58, 63, 68,, 2. 49, 53, 57, 61,, 3. 39, 42,, 48,, 54 4. 58, 62, 66,,, 5. 47, 42, 37,, 27, 6. 99, 96,, 90,, 84 7., 33, 29, 25,, 17 8.,, 87, 85, 83, 81 9. Take a 6 x 6 square. Starting at 1 count on in twos. Circle or colour the numbers you land on. 1 2 3 4 5 6 Yes! 7 8 9 10 11 12 Another 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 10. What do you notice? If you went on, would 45 be in your sequence? How do you know? 38 P a g e

Extend number sequences by counting on and back Fill in the missing numbers in these sequences: 1. 55, 53, 51, 49,, 2. 21, 26, 31, 36,, 3. 5, 9,, 17,, 25 4. 67, 70, 73,,, 5. 8, 11, 14,, 20, 6. 42, 39,, 33,, 27 7., 99, 94, 89,, 79 8.,, 21, 19, 17, 15 9. Take a 6 x 6 square. Starting at 1 count on in threes. Circle or colour the squares. What do you notice? 1 2 3 4 5 6 7 8 9 10 11 12 pattern. 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 Yes! Yet another 10. If you started at 5 and counted on in threes would you get a similar pattern? How is it different? 39 P a g e

Extend number sequences by counting on and back Number sequences Put the next two numbers into these sequences. Then say what the rule is for the sequence. Example: 3, 6, 9, 12, 15 18 Rule: The numbers are going up in threes 1. 9, 13, 17, 21, Rule 2. 27, 32, 37, 42, Rule.. 3. 81, 85, 89, 93, Rule.. 4. 67, 69, 71, 73, Rule. 5. 89, 93, 97, 101, Rule. 6. 97, 95, 93, 91, Rule. 7. 42, 39, 36, 33, Rule. 8. 77, 73, 69, 65, Rule. 40 P a g e

Extend number sequences by counting on and back Number sequences Put the next two numbers into these sequences. Then say what the rule is for the sequence. Example: 5, 9, 13, 17, 21 25 Rule: The numbers are going up in fours 1. 10, 15, 20, 25, Rule 2. 87, 90, 93, 96, Rule.. 3. 34, 38, 42, 46, Rule.. 4. 89, 91, 93, 95, Rule. 5. 103, 99, 95, 91, Rule. 6. 27, 22, 17, 12, Rule. 7. 31, 28, 25, 22, Rule. 8. 103, 101, 99, 97, Rule 41 P a g e

Revise rounding numbers 160 161 162 163 164 165 166 167 168 169 170 160 170 163 is 160 rounded to the nearest whole ten 165 is 170 rounded to the nearest ten Write these numbers to the nearest whole ten: 1. 247 Look at the units when 2. 534 deciding whether to round up or down to the nearest 10. 3. 864 4. 745 5. 269 6. 295 7. 302 8. 936 9. 1 245 10. 2 166 11. 2 505 12. 1 908 13. What is the nearest ten to 563? 14. What is the nearest ten to 2 325? 15. What is the nearest ten to 3 889? 16. Round 756 to the nearest ten. 17. Round 2 457 to the nearest ten. 18. What whole ten is nearest to 2 118? 42 P a g e

Revise rounding numbers Rounding numbers to nearest hundred 2000 2010 2020 2030 2040 2050 2060 2070 2080 2090 2100 2 000 2 100 2034 is 2 000 rounded to the nearest hundred. 2053 is 2 100 rounded to the nearest hundred. Write these numbers to the nearest whole hundred: 1. 2 846 Look at the tens when 2. 3 128 deciding whether to round up or down to the nearest 3. 9 202 hundred. 4. 4 038 5. 1 319 6. 2 560 7. 4 575 8. 9 659 9. 1 059 10. 2 066 11. 4 652 12. 1 918 13. What is the nearest hundred to 4 839? 14. What is the nearest hundred to 2 750? 15. What is the nearest hundred to 3 148? 16. Round 5 716 to the nearest hundred. 17. Round 1 455 to the nearest hundred. 18. What whole hundred is nearest to 3 050? 43 P a g e

Revise rounding numbers Rounding numbers to nearest thousand 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 1 000 2 000 1 345 to the nearest 1 000 is 1 000 1 565 to the nearest 1 000 is 2 000 The hundreds digit is the key number to look at when rounding to a thousand. Round these numbers to the nearest thousand: 1. 3 890 2. 4 211 3. 7 777 4. 1 099 5. 8 501 6. Below is a chart showing some of the highest mountains in the world. Re-draw the table rounding off these heights to the nearest 1 000 metres: MOUNTAIN Mt Everest K2 Aconcagua Kilimanjaro Matterhorn HEIGHT 8 848 metres 8 611 metres 6 960 metres 5 896 metres 4 478 metres 44 P a g e

Revise rounding numbers 1. Below is a table of the average depths of some of the oceans and seas in the world. Round off these depths to the nearest 100 metres: Pacific Ocean Indian Ocean Atlantic Ocean Caribbean Sea Mediterranean Sea 4 028 m 3 963 m 3 926 m 2 677 m 1 429 m 2. Write down a number between 6 000 and 7 000 which is nearer to 6 000 than 7 000. 3. The Australians scored 356 runs in the first innings and 248 runs in the second innings. Approximately, how many runs did the team score? 4. The distance from London Gatwick to Tel Aviv is 4 455 miles. What is this to the nearest 100 miles? 5. I have driven 437 miles and I am still 678 miles from London. About how far is my total journey to London, to the nearest 100 miles? 6. New York is 6 798 miles from London. Round this off to the nearest thousand miles. 7. The deepest lake in the world is Lake Baikal, in Siberia, which has a depth of 1 637 metres below sea level. Round this off to the nearest 100 metres. 45 P a g e

Revise rounding numbers 1. Write down the lengths of these American rivers to the nearest 1 000 kilometres: Mississippi Yukon 3 779 km 3 185 km It's the hundreds column you need to look at! Rio Grande 2 832 km Arkansas Colerado Red Columbia 2 348 km 2 334 km 2 076 km 2 001 km 2. Write down a number between 3 000 and 4 000 which is nearer to 3 000 than 4 000. 3. Write down a number between 2 000 and 3 000 which is nearer 2000 than 3 000. 4. The wettest place in the world is a town in India, with an annual rainfall of 1 873 cm of rain. Round this off to the nearest thousand cm. 5. A basketball team scored 1 456 points in a season. Round this total to the nearest 100 points. 46 P a g e

Revise rounding numbers 1. Which of these is the best approximation for 764 + 298? a. 760 + 290 b. 700 + 300 c. 760 + 300 d. 770 + 300 2. Which of these is the best approximation for 5 045-256? a. 5 000-200 b. 5 050-260 c. 5 500-260 d. 6 000-300 3. Which of these is the best approximation for 38 x 94? a. 40 x 90 b. 30 x 90 c. 40 x 100 d. 30 x 100 4. Which of these is the best approximation for 253 37? a. 250 30 b. 260 30 c. 250 40 d. 260 40 5. Work out approximate answers to the following sums by rounding to the nearest hundred: a. 6 018 + 2 919 Remember to look at the tens when b. 1 354 + 5 732 rounding to whole hundreds! c. 5 447 + 3 558 d. 2 505 + 209 e. 2 879 + 1 004 6. What is 7 532 to the nearest whole ten? 7. What is 7 532 to the nearest whole one hundred? 47 P a g e

Revise rounding numbers 1. What is the approximate answer for 342 +97? 2 2. What is the approximate answer for 1858-299? 2 3. Work out approximate answers to the following sums by rounding to the nearest hundred: a. 6 339 + 2 179 b. 1 202 + 4 559 easier! c. 4 879 + 4 108 d. 3 125 + 6 728 e. 1 707 + 7 237 It's getting easier and 4. What is 4 819 to the nearest thousand? 5. What is 6 506 to the nearest thousand? 6. To the nearest thousand what is half of 3 945? 7. To the nearest thousand what is double 4 199? 8. Round 4 521 to the nearest 10. 9. Round 4 521 to the nearest 100. 10. Round 4 521 to the nearest 1 000. 48 P a g e

Revise rounding numbers Write down approximate answers to the following, in the same way as the example, by rounding to the nearest hundred: e.g. 2 456 + 213 is approximately 2 500 + 200 2 700 1. 1 257 + 240 2. 3 099 + 210 3. 4 993 + 119 4. 4 298 + 152 5. 4 899-560 6. 1 306-990 7. 8 489-352 8. 4 444-293 Below is a table of distances between London and a number of other towns and cities, 'as the crow flies' - this means in a straight line. Round off the distances to the nearest 1 000 miles. I've always wanted to go to Dallas, to see the Cowboys! 9. Athens 3 090 miles 10. Cairo 4 355 miles 11. Miami 8 826 miles 12. Istanbul 3 099 miles 13. Bombay 8 913 miles 14. Dallas 9 399 miles 15. New York 6 811 miles Approximate: 16 (509-179) 17. (356-119) 18. ( 408-97) 11 2 3 49 P a g e

Roman Numerals Do you like the way we used to write numbers in Roman times? None of that 1, 2, 3 stuff!! You already know I to X (1 to 10) so let s look at some larger numbers. The Romans used these capital letters: I V X L C 1 5 10 50 100 There are two rules you need to know : 1. put a smaller letter after a larger one means you add it. 2. put a smaller letter before a larger one means you take it away. These letters are put together to form all the numbers, like this: X1 = 11 XII = 12 XIII = 13 XIV = 14 XV = 15 XVI = 16 XVII = 17 XVIII = 18 XIX = 19 XX = 20 So 64 = LXIV (L + X + IV = 50 + 10 + 4) 48 = XLVIII (L - X + VIII = 50-10 + 8) Work out what numbers these Roman numerals represent: 1. XXX1 = 2. XLII = 3. LXII = 4. LXXVI = 5. CX = 6. LXIV = 7. XLVI = 8. LXXXVI = Write these numbers in Roman numerals: 9. 70 = 10. 63 = 11. 81 = 12. 26 = 13. 102 = 14. 90 = 50 P a g e

Roman Numerals Remember, the Romans used letters for their numbers. Here are the letters they used up to 100. The Romans used these capital letters: I V X L C 1 5 10 50 100 Try counting up in tens using Roman numerals. 10 20 30 40 50 60 70 80 90 100 Try writing these Roman numerals as numbers. XXVII XXXV LV XLVII XXXIV LXXI XCI CVIII Now try these harder numbers in Roman numerals. 1. 49 2. 77 3. 88 51 P a g e

Roman Numerals Remember, the Romans used letters for their numbers. Here are the letters they used up to 100. The Romans used these capital letters: I V X L C 1 5 10 50 100 Now try and write the next three Roman numerals in these sequences of counting on in ones. 1. XXX1 XXXII 2. XLVII XLVIII 3. CXIII CXIV 4. CXXVIII CXXIX 5. LXVIII LXIX 52 P a g e

Visualise, describe and classify 3-D and 2-D shapes. Can you identify each of these 3-D shapes? Join the shape to the name. Cube A B Cuboid Square based Pyramid Cone C D Cylinder E F Tetrahedron Octagonal Prism G H Hexagonal Prism 53 P a g e

Visualise, describe and classify 3-D and 2-D shapes. Can you identify each of these 3-D shapes? Write the name under the shape. A C B D F E G H No cheating, now! 54 P a g e

Visualise, describe and classify 3-D and 2-D shapes. Can you identify each of these 2-D shapes? Join the shape to the name. Semicircle A Equilateral Triangle B Isosceles Triangle C D E Rectangle Pentagon F Hexagon Heptagon G H Octagon 55 P a g e

Visualise, describe and classify 3-D and 2-D shapes. Can you identify each of these 2-D shapes? Write the name under the shape A B C D E F G H 56 P a g e

Visualise, describe and classify 3-D and 2-D shapes. P Look at these two shapes. Shape A is a convex shape and Shape B is a concave shape, but they both have six sides so they are both hexagons. Shape A Shape B Which of the shapes below are concave pentagons? A B C D E F 57 P a g e

Visualise, describe and classify 3-D and 2-D shapes. a) Which of these shapes are convex octagons? A B C D E F b) Which of these shapes are irregular polygons? A B C D E F c) Which of these shapes are quadrilaterals? A B C D E G H F 58 P a g e

Visualise, describe and classify 3-D and 2-D shapes. Draw some of your own shapes in the Venn and Carroll diagrams. One shape has been drawn for you. Quadrilaterals Pentagons Regular Irregular Hexagons Concave Shapes 59 P a g e

Visualise, describe and classify 3-D and 2-D shapes. Draw some of your own shapes in the Venn and Carroll diagrams. First write down what your sets are going to be. For an example, see 0. 60 P a g e

Visualise, describe and classify 3-D and 2-D shapes. Regular Polygons 61 P a g e

Visualise, describe and classify 3-D and 2-D shapes. Regular Polygons 62 P a g e

Make turns; estimate, draw and measure angles. Remembering that in one hour, the hour hand on a clock turns 30 0, can you work out how many degrees the hour hand turns between these times? 11 12 1 11 12 1 10 2 10 2 9 3 9 3 8 8 4 5 7 6 5 7 6 4 Number of Degrees Three o'clock and Five o'clock 11 12 1 11 12 1 10 2 10 2 9 3 9 3 8 8 4 7 6 5 7 6 5 4 Number of Degrees Two o'clock and Three o'clock 11 12 1 11 12 1 10 2 10 2 9 3 9 3 8 8 4 7 6 5 7 6 5 4 Number of Degrees Six o'clock and Seven o'clock 63 P a g e

Make turns; estimate, draw and measure angles. Remembering that in one hour, the hour hand on a clock turns 30 0, can you work out how many degrees the hour hand turns between these times? 12 12 11 1 11 1 10 2 10 2 9 3 9 3 8 8 7 6 5 4 7 6 5 4 Number of Degrees Two o'clock and Five o'clock 12 1112 1 11 1 10 2 10 2 9 3 9 3 8 8 7 6 5 4 7 6 5 4 Number of Degrees Twelve o'clock and Four o'clock 11 12 1 11 12 1 10 2 10 2 9 3 9 3 8 8 7 6 5 4 7 6 5 4 Number of Degrees Nine o'clock and One o'clock 64 P a g e

Make turns; estimate, draw and measure angles. Remembering that in one hour, the hour hand on a clock turns 30 0, can you work out how many degrees the hour hand turns between these times? 11 12 1 11 12 1 10 2 10 2 9 3 9 3 8 8 4 7 6 5 7 6 5 4 Number of Degrees Eleven o'clock and Four o'clock 11 12 1 11 12 1 10 2 10 2 9 3 9 3 8 8 4 7 6 5 7 6 5 4 Number of Degrees One o'clock and Five o'clock 11 12 1 11 12 1 10 2 10 2 9 3 9 3 8 8 4 7 6 5 7 6 5 4 Number of Degrees Seven o'clock and Ten o'clock 65 P a g e

Make turns; estimate, draw and measure angles. Remembering that in one hour the hour hand on a clock turns 30 0, can you work out how many degrees the hour hand turns between these times? Put your answers in the table. From To Degrees Three o'clock Four o'clock Six o'clock Eight o'clock Five o'clock Nine o'clock Twelve o'clock Six o'clock Eleven o'clock Two o'clock Ten o'clock Three o'clock Nine o'clock Three o'clock Seven o'clock Eleven o'clock Four o'clock Eight o'clock Twelve o'clock Four o'clock Addy is facing North. If he turns 45 0 clockwise, which way will he be facing? This diagram may help you. NW N NE W SW S SE E Discuss with your teacher or parent the number of degrees there are between each compass direction. 66 P a g e

Make turns; estimate, draw and measure angles. Turning, Turning, Turning I'm going to face in one direction. Then I'm going to turn a little. I would like you to work out where I am facing after turning. Please put your answers in the table. NW N NE W E SW S SE First I face Then I turn Then I face N 90 0 Clockwise SW 45 0 Anti-Clockwise E 135 0 Clockwise NE 180 0 W 45 0 Anti-Clockwise NW 90 0 Clockwise S 135 0 Anti-Clockwise SE 45 0 Clockwise 67 P a g e

Make turns; estimate, draw and measure angles. 0 5 1 4 2 3 Here is the volume control on a CD player. 0 is very quiet and 5 is very loud! If Subby turns the pointer for different volumes, can you say how many degrees he turns it each time? Put your answers in the table. From To Degrees 0 1 3 5 1 4 0 2 4 2 5 2 4 1 1 0 68 P a g e

Make turns; estimate, draw and measure angles. Draw angles in the table using your set-squares Angle Your drawing 30 0 45 0 60 0 90 0 69 P a g e

Make turns; estimate, draw and measure angles. Use your set squares to measure these angles. Write the number of degrees under the angles. a) b) c) d) e) f) g) h) 70 P a g e

Make turns; estimate, draw and measure angles. Use your set squares to measure these angles. Write the number of degrees under the angles. a) b) c) d) e) h) f) g) 71 P a g e

Make turns; estimate, draw and measure angles. Can you put these angles in order of size.? Put a 1 next to the smallest, a 2 next to the next smallest and so on. You may find tracing paper helpful. 72 P a g e

Make turns; estimate, draw and measure angles. Here are some angles. Put the letter 'A' next to those that are acute and the letter 'O' next to those that are obtuse. If you see any right angles, put a letter 'R' on them. Acute angle Obtuse Angle An angle greater than An angle greater than 0 0, and less than 90 0 90 0, and less than 180 0 a) b) c) d) e) f) g) h) i) j) k) l) m) 73 P a g e

Make turns; estimate, draw and measure angles Here are some angles. Put the letter 'A' next to those that are acute and the letter 'O' next to those that are obtuse. If you see any right angles, put a letter 'R' on them. a) b) c) d) e) f) g) h) i) j) k) l) m) 74 P a g e

Reflective symmetry in 2-D shapes. Reflections and translations 1. Draw the lines of symmetry in these shapes. Some have just one line of symmetry, some have more. 75 P a g e

Reflective symmetry in 2-D shapes. Reflections and translations 1. Draw the lines of symmetry in these shapes. Some have just one line of symmetry, some have more. 76 P a g e

Reflective symmetry in 2-D shapes. Reflections and translations 1. Think about these shapes. Which have no lines of symmetry, which have just one line, which have two or more? You may like to draw them on the shapes. Draw the shapes in the correct places in the Venn Diagram. Two have been done for you. Two?! That's extremely generous! All 2-D Shapes Two or more lines of symmetry One line of symmetry No lines of symmetry 77 P a g e

Reflective symmetry in 2-D shapes. Reflections and translations 1. Think about these shapes. Which have no lines of symmetry, which have just one line, which have two or more? You may like to draw them on the shapes. Draw the shapes in the correct places in the Venn Diagram. Two have been done for you. Some very strange shapes here! All 2-D Shapes One line of No lines of Two or more symmetry symmetry lines of symmetry 78 P a g e

Reflective symmetry in 2-D shapes. Reflections and translations 1. Draw the reflection of each shape in the mirror line. The first one has been done for you. 79 P a g e

Reflective symmetry in 2-D shapes. Reflections and translations 1. Draw the reflection of each shape in the mirror line. The first one has been done for you. 80 P a g e

Reflective symmetry in 2-D shapes. Reflections and translations 1. Continue these patterns using translations and then make up some of your own: Translation just means slide the shape along a little. Thanks, Divvy, but we already knew that! Translate one square at a time to the right. Translate the happy face and the sad face two squares at a time to the right. Translate the diamond one square at a time to the left. Translate the heart and the moon two squares at a time to the left. Translate Subby one square at a time to the left. 81 P a g e

Reflective symmetry in 2-D shapes. Reflections and translations 1. Here is a drawing in parts. By translating each part by the number of squares shown, you can make the drawing. U means 'UP', D means 'DOWN' and R means 'RIGHT'. Good luck! 14 D 11 D 10 D 12 R 15 R 6 R 3 D 8 R 14 R 12 R 4 U 4 U 6 U 5 U 82 P a g e

Recognise position and direction, and use co-ordinates. The most important thing about co-ordinates!! 5 4 3 When you plot points on a grid, remember the first number is the number of squares along and the second number is the number of squares up. This is very important!!! 2 1 0 0 1 2 3 4 5 This point is (4,2), NOT (2,4). So this is the point (1,3)? Yes, you've got it, Brains! 83 P a g e

Recognise position and direction, and use co-ordinates. 5 4 3 2 Here is a list of co-ordinates. Plot these on the grid by putting small crosses. Because I am a really generous fellow, I have done one for you. 1 0 0 1 2 3 4 5 (4,5) (5,3) (2,2) (1,4) (1,5) (1,0) (4,0) (4,4) (0,2) (0,0) 5 4 3 2 1 0 0 1 2 3 4 5 Well, that was pretty boring! Would you like to draw a Maths Rat's house now? Plot the points and join them up as you go. First the house: (0,0) (5,0) (5,3) (4,4) (1,4) (0,3) (0,0) Then the door: (2,0) (2,1) (3,1) (3,0) That's a great house, yes? Then the two windows: (1,2) (2,2) (2,3) (1,3) (1,2) and (3,2) (4,2) (4,3) (3,3) (3,2) 84 P a g e

Recognise position and direction, and use co-ordinates. Plot these points and see what they make: A star means start a new part of the drawing - do not join it to the other parts. 9 8 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 (1,1) (3,1) (3,2) (5,2) (5,1) (11,1) (11,2) (13,2) (13,1) (14,1) (15,2) (15,7) (14,8) (3,8) (2,7) (2,5) (1,5) (0,4) (0,2) (1,1) * (3,4) (5,4) (5,7) (3,7) (3,4) * (6,5) (8,5) (8,7) (6,7) (6,5) * (9,5) (11,5) (11,7) (9,7) (9,5) * (12,5) (14,5) (14,7) (12,7) (12,5) Now draw two circles radius 1cm with their centres at (4,1) and (12,1). Absolutely terrific! So lifelike! 85 P a g e

Recognise position and direction, and use co-ordinates. Plot these points and see what they make: A star means start a new part of the drawing - do not join it to the other parts. 9 8 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 (3,3) (6,3) (6,4) (8,4) (8,3) (12,3) (12,5) (13,6) (15,6) (15,4) (14,3) (14,1) (13,0) (3,0) (3,1) (1,3) (1,4) (0,4) (0,5) (2,5) (2,4) (3,3) * (7,4) (7,5) (4,4) (4,7) (10,9) (10,6) (7,5) * (7,8) (7,9) Now decorate your drawing. Ahoy there, me hearties! 86 P a g e

Recognise position and direction, and use co-ordinates. Draw your own shape on the grid below. Do not make it too difficult! Use a star to mean 'start a new part of the drawing'. 9 8 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Write the co-ordinates of your shape below. You could give these co-ordinates to a friend to see if they can draw your shape. 87 P a g e

Recognise position and direction, and use co-ordinates. 5 4 3 Do you know the difference between a column and a row? 2 1 0 0 1 2 3 4 5 Here is a column of points. Write down their co-ordinates. (, ) (, ) (, ) (, ) (, ) What do you notice about the co-ordinates of these points? Plot another column of points that all begin (2, ). Write down their co-ordinates. (, ) (, ) (, ) (, ) (, ) I'm a bit like a column. 5 4 And I'm a bit like a row. 3 2 1 0 0 1 2 3 4 5 Here is a row of points. Write down their co-ordinates. (, ) (, ) (, ) (, ) (, ) What do you notice about the co-ordinates of these points? 88 P a g e

Recognise position and direction, and use co-ordinates. 4 5 3 2 1 0 0 1 2 3 4 5 Here is a diagonal of points. Write down their co-ordinates. (, ) (, ) (, ) (, ) (, ) (, ) Add up the numbers in each bracket. What do you notice? Draw a line through the points. 4 5 3 2 1 0 0 1 2 3 4 5 Put the other number in each bracket so that the two numbers add up to 4. (0, ) (1, ) (2, ) (3, ) (4, ) Plot these points on the grid and draw a diagonal line through them. Can you write another set of points that will give a diagonal line and draw the line? 89 P a g e

Recognise position and direction, and use co-ordinates. 5 4 North 3 2 1 West East 0 0 1 2 3 4 5 South Imagine that the grid is like a map with North at the top and answer the questions. a) If I start at (3,1) and go two squares north, where will I end up? Give the co-ordinates of the point. b) If I start at (1,2) and go three squares east, where will I end up? Give the co-ordinates of the point. c) If I start at (4,5) and go five squares south, where will I end up? Give the co-ordinates of the point. d) If I start at (5,4) and go four squares west, where will I end up? Give the co-ordinates of the point. e) If I start at (1,1) and go three squares north-east, where will I end up? Give the co-ordinates of the point. f) If I start at (1,5) and go two squares south-east, where will I end up? Give the co-ordinates of the point. g) If I start at (0,0) and go five squares north-east, where will I end up? Give the co-ordinates of the point. h) If I start at (2,1) and move to (4,3), which direction did I travel in? i) If I start at (5,0) and move to (2,3), which direction did I travel in? 90 P a g e