St Brendan’s RC Primary School Love Life, Love Learning, Achieve Together in God’s Love Year 5 Booklet 1 BOSCEP Bolton Catholic Schools Working Together J. Lucas 2017 Dear parents/carers, At St Brendan’s RC Primary School, we believe that knowing times and divide tables is a key Maths skill. It offers a foundation for learning other aspects of Maths. Regular practise of times tables is essential in ensuring that they are embedded in the children’s long term memory. This is a Year 5 booklet, which focusses on the factors, multiples, prime numbers, multiplying and dividing using known facts and squared and cubed numbers. We request that the children practise their times tables at home on a regular basis to support them with these areas of Maths. The children need to be able to answer all mental multiplication and division questions accurately and timely. Tips for helping your child to learn their times tables: ~Regular practise (at least 3 times a week) ~Demonstrate ~Chant / sing songs ~Stick up a chart ~Play games Useful websites: http://primaryhomeworkhelp.co.uk/maths/timestable/interactive.htm http://www.ictgames.com/multiplication_rounding.html http://www.active learnprimary.co.uk http://www.fun4thebrain.com/division.html www.topmarks.co.uk/maths-games/hit-the-button http://www.timestables.me.uk/ Tablet apps: Squeebles Multiplication trainer Maths Practice Splash Maths 7-9 Splash Maths 8-10 Please write any comments in the boxes provided. We thank you in advance for your support. Dear student mathematician, You are working on the Year 5 booklet, which focuses on multiples, factors, prime numbers, multiplying and dividing using known facts, square and cube numbers. It is very important that you practise these as often as you can to improve your speed and accuracy. How quickly can you answer 40 questions? Tips to help you learn your key facts: ~ Practise chanting your times tables ~Make a rhyme ~Ask someone to test you in a random order. Good luck! 2 J. Lucas 2017 Multiples Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112 Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126 Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156 Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169 Multiples of 14: 14, 28, 32, 46, 60, 74, 88, 102, 116, 130, 144, 158, 172 Top Tips: A multiple is a number which can be divided by another number without a remainder. Multiples appear in the number’s multiplication table. You can calculate them by counting on by that number. Self assessment: Parent/guardian’s comments/signature: 3 J. Lucas 2017 Factors The factors of 24 are: 1, 24, 2, 12, 3, 8, 4 & 6. The factors of 32 are: 1, 32, 2, 16, 4 & 8. The factors of 108 are: 1, 2, 3, 4, 6, 9, 12, 18, 36, 27, 54 & 108 Top Tip: A factor is a number that divides exactly into a larger number. To find the factors of a number, you can set it out like this: Factors of 18: 18 1 x 18, 2 x 9, 3 x 6, therefore, the factors of 18 are 1, 2, 3, 6, 9 & 18. Self assessment: Parent/guardian’s comments/signature: 4 J. Lucas 2017 Prime Numbers Top Tips: The numbers shown in yellow above are all prime numbers. Prime numbers can only be divided by 1 and itself. 1 is not a prime number. 2 is the only even prime number. There are no prime numbers ending in 5, except 5. To test if a number is a prime number, divide it by 2, 3, 5, 7, 9 or 11. Self assessment: Parent/guardian’s comments/signature: 5 J. Lucas 2017 Multiplying and dividing using known facts 1 x 80 = 80 400 ÷ 8 = 50 90 x 80 = 7200 2 x 80 = 160 480 ÷ 8 = 60 10 x 80 = 800 3 x 80 = 240 560 ÷ 8 = 70 8800 ÷ 10 = 880 4 x 80 = 320 640 ÷ 8 = 80 960 ÷ 8 = 120 Top Tip: Practise your times tables at home because if you know your times tables and corresponding division facts, this will help you mentally calculate multiplication and division facts that are ten, hundred, thousand etc. times bigger. E.g. if you know that 7 x 6 = 42, then you should know the answer to 70 x 6, as it is 10 times bigger. Therefore, 70 x 6 = 420. If you know that 8 x 9 = 72, then you should know the answer to 80 x 90, as it is 100 times bigger. Therefore, 80 x 90 = 7200. Self assessment: Parent/guardian’s comments/signature: 6 J. Lucas 2017 Year 5 x & ÷ Facts Challenge Can you complete a key facts race in 5 minutes or under? Good Luck! Top Tip: Why not record your time at home and see if you can beat next time you practice. X 30 4 60 8 50 70 30 10 100 120 20 11 60 80 40 90 7 J. Lucas 2017 Square numbers 12 22 32 42 52 62 72 82 92 102 112 122 132 142 152 1x1 2x2 3x3 4x4 5x5 6x6 7x7 8x8 9x9 10 x 10 11 x 11 12 x 12 13 x 13 14 x 14 15 x 15 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 Square Numbers: A square number is the product of a number multiplied by itself (third column above). e.g. 10 x 10 = 100 which can be shown as: 102 = 100 10 squared = 100 10 x 10 grid SelfAssessment: Parent/guardian’s comments/signature: 8 J. Lucas 2017 Cube numbers 13 23 33 43 53 63 73 83 93 103 113 123 133 143 153 1x1x 1 2x2x2 3x3x3 4x4x4 5x5x5 6x6x6 7x7x7 8x8x8 9x9x9 10 x 10 x 11 x 11 x 12 x 12 x 13 x 13 x 14 x 14 x 15 x 15 x 10 11 12 13 14 15 1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 Cube Numbers: A number formed by multiplying a digit by itself 3 times. E.g. 10 x 10 x 10 = 1000, which can be shown as: 103 = 1000 10 cubed = 1000 10 x 10 x 10 cube Self-assessment: Parent/guardian’s comments/signature: 9 J. Lucas 2017 Year 5 Times Tables Challenge This is very similar to what your test will look like in school. All of the multiplication, division, cubed number, squared number, multiples and factors questions are all mixed up. Good Luck! Top Tip: Why not record your time at home and see if you can beat it next time you practise. 360 ÷ 4 =_____ 43 =_____ 30 × 60 =_____ 82 = _____ 103 = _____ 80 × 10 = _____ 6 × 20 = _____ 480 ÷ 60 = ___ 32 = _____ 60 ÷ 6 = _____ 60 × 11 = _____ 63 = _____ 60 ÷ 6 =_____ 4 × 30 =_____ 420 ÷ 60 = _____ 123 = __ 72 = _____ 10 × 40 = _____ 30 ÷ 3 = _____ 83 = _____ 10 × 60 = _____ 480 ÷ 4 = _____ 4 × 60 = _____ 23 = __ 6 × 90 = _____ 60 × 70 = _____ 73 = _____ 240 ÷ 4 = ___ 33 = _____ 210 ÷ 30 = _____ 320 ÷ 8 = __ 122 =_____ 42 =_____ 30 × 10 = _____ 153 = _____ What are the factors of 36? What are the factors of 63? Write 5 multiples of 8. Write 5 multiples of 12. Write 5 multiples of 9. Time completed:________ minutes ____________seconds Number of correct answers: ________/ 40 10 J. Lucas 2017
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