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Numbers.

Numbers. LEARNING OUTCOMES: Recognise squares and cubes numbers. Calculate square roots and cube roots. Find reciprocals. Find multiples, factors and primes. Find prime factors of numbers. Find HCF and LCM. Numbers. Squares and Cubes Numbers. 1. List the square numbers. Numbers.

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Numbers.

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  1. Numbers. LEARNING OUTCOMES: • Recognise squares and cubes numbers. • Calculate square roots and cube roots. • Find reciprocals. • Find multiples, factors and primes. • Find prime factors of numbers. • Find HCF and LCM.

  2. Numbers. Squares and Cubes Numbers. 1. List the square numbers.

  3. Numbers. Squares and Cubes Numbers. • List the square numbers. • 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169

  4. Numbers. Squares and Cubes Numbers. 2. List the cube numbers.

  5. Numbers. Squares and Cubes Numbers. 2. List the cube numbers. 1, 8, 27, 64, 125, 216, 343, 512

  6. Numbers. Squares and Cubes Numbers. 3. Write down a number from the list which is: 1, 4, 8, 10, 23, 27, 36, 64, 71, 100, 109, 125, 164, 1000 a) The square numbers: ______________________________________________ b) The cube numbers: ________________________________________________

  7. Numbers. Squares and Cubes Numbers. 3. Write down a number from the list which is: 1, 4, 8, 10, 23, 27, 36, 64, 71, 100, 109, 125, 164, 1000 a) Square numbers: 1, 4, 36, 64, 100 b) Cube numbers: 1, 8, 27, 64, 125, 1000

  8. Numbers. Square Roots and Cube Roots. 1. Find the square root.

  9. Numbers. Square Roots and Cube Roots. 1. Find the square root.

  10. Numbers. Square Roots and Cube Roots. 2. Find the cube root.

  11. Numbers. Square Roots and Cube Roots. 2. Find the cube root.

  12. Numbers. Reciprocals. 1. Find the reciprocals of the following numbers.

  13. Numbers. Reciprocals. 1. Find the reciprocals of the following numbers.

  14. Numbers. Reciprocals. 2. Find the reciprocals of the following numbers.

  15. Numbers. Reciprocals. 2. Find the reciprocals of the following numbers.

  16. Numbers. Reciprocals. 3. Find the reciprocals of the following numbers.

  17. Numbers. Reciprocals. 3. Find the reciprocals of the following numbers.

  18. Numbers. Multiples, Factors and Primes. 1. Write the first five multiples of these numbers. 2: ________________________________________ 3: ________________________________________ 5: ________________________________________ 9: ________________________________________ 10: _______________________________________

  19. Numbers. Multiples, Factors and Primes. 1. Write the first five multiples of these numbers. 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110

  20. Numbers. Multiples, Factors and Primes. 2. From the numbers below, write down those that are: 111, 254, 255, 108, 73, 68, 162, 60, 711, 615, 98, 37, 812, 102, 75, 270 a) Multiples of 2: _____________________________________________ b) Multiples of 3: _____________________________________________ c) Multiples of 5: _____________________________________________ d) Multiples of 9: _____________________________________________ e) Multiples of 10: _____________________________________________

  21. Numbers. Multiples, Factors and Primes. 2. From the numbers below, write down those that are: 111, 254, 255, 108, 73, 68, 162, 60, 711, 615, 98, 37, 812, 102, 75, 270 a) Multiples of 2: 254, 108, 68, 162, 60, 98, 812, 102, 270 b) Multiples of 3: 111, 255, 108, 162, 60, 711, 615, 102, 75, 270 c) Multiples of 5: 255, 60, 615, 75, 270 d) Multiples of 9: 108, 162, 711, 270 e) Multiples of 10: 60, 270

  22. Numbers. Multiples, Factors and Primes. 3. List the factors of 12.

  23. Numbers. Multiples, Factors and Primes. 3. List the factors of 12. 1, 2, 3, 4, 6, 12

  24. Numbers. Multiples, Factors and Primes. 4. List the factors of 30.

  25. Numbers. Multiples, Factors and Primes. 4. List the factors of 30. 1, 2, 3, 5, 6, 10, 15, 30

  26. Numbers. Multiples, Factors and Primes. 5. List the factors of 45.

  27. Numbers. Multiples, Factors and Primes. 5. List the factors of 45. 1, 3, 5, 9, 15, 45

  28. Numbers. Multiples, Factors and Primes. 6. List the factors of 48.

  29. Numbers. Multiples, Factors and Primes. 6. List the factors of 48. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

  30. Numbers. Multiples, Factors and Primes. 7. List the prime numbers.

  31. Numbers. Multiples, Factors and Primes. 7. List the prime numbers. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

  32. Numbers. Multiples, Factors and Primes. 8. From this list of numbers, write down: 1, 2, 3, 5, 6, 7, 9, 12, 18, 24, 30, 36 a) Any multiples of 6: __________________________________ b) All the factors of 18: _________________________________ c) The prime numbers: ________________________________

  33. Numbers. Multiples, Factors and Primes. 8. From this list of numbers, write down: 1, 2, 3, 5, 6, 7, 9, 12, 18, 24, 30, 36 a) Any multiples of 6: 6, 12, 18, 24, 30, 36 b) All the factors of 18: 1, 2, 3, 6, 9, 18 c) The prime numbers: 2, 3, 5, 7

  34. Numbers. Prime Factors. • 1. Write number 180: • As a product of its prime factors: ____________________________ • b) As a product of its prime factors in index notation (using powers): ____________

  35. Numbers. Prime Factors. • 1. Write number 180: • As a product of its prime factors: 180 = 2 x 2 x 3 x 3 x 5 • 2 2 • b) As a product of its prime factors in index notation (using powers): 180 = 2 x 3 x 5

  36. Numbers. Prime Factors. 2. Write number 60: a) As a product of its prime factors: ___________________________________ b) As a product of its prime factors in index notation (using powers): ____________

  37. Numbers. Prime Factors. 2. Write number 60: a) As a product of its prime factors: 60 = 2 x 2 x 3 x 5 2 b) As a product of its prime factors in index notation (using powers):60 = 2 x 3 x 5

  38. Numbers. Prime Factors. 3. Write number 140: a) As a product of its prime factors: ___________________________________ b) As a product of its prime factors in index notation (using powers): ____________

  39. Numbers. Prime Factors. 3. Write number 140: a) As a product of its prime factors: 140 = 2 x 2 x 5 x 7 2 b) As a product of its prime factors in index notation (using powers): 140 = 2 x 5 x 7

  40. Numbers. Prime Factors. 4. Write number 720: a) As a product of its prime factors: ___________________________________ b) As a product of its prime factors in index notation (using powers): ____________

  41. Numbers. Prime Factors. 4. Write number 720: a) As a product of its prime factors: 720 = 2 x 2 x 2 x 2 x 3 x 3 x 5 4 2 b) As a product of its prime factors in index notation (using powers): 720 = 2 x 3 x 5

  42. Numbers. Prime Factors. 5. Write number 198: a) As a product of its prime factors: ___________________________________ b) As a product of its prime factors in index notation (using powers): ____________

  43. Numbers. Prime Factors. 5. Write number 198: a) As a product of its prime factors: 198 = 2 x 3 x 3 x 11 2 b) As a product of its prime factors in index notation (using powers): 198 = 2 x 3 x 11

  44. Numbers. Prime Factors. m 6. The number 56 can be written as 2 x n, where m and n are prime numbers. Find the value of m and n.

  45. Numbers. Prime Factors. m 6. The number 56 can be written as 2 x n, where m and n are prime numbers. Find the value of m and n. 3 56 = 2 x 2 x 2 x 7 = 2 x 7 m = 3, n = 7

  46. Numbers. HCF and LCM. 1. Find HCF and LCM of 60 and 96.

  47. Numbers. HCF and LCM. • Find HCF and LCM of 60 and 96. • HCF = 2 x 2 x 3 = 12 • LCM = 12 x 5 x 2 x 2 x 2 = 480

  48. Numbers. HCF and LCM. 2. Find HCF and LCM of 28 and 42.

  49. Numbers. HCF and LCM. 2. Find HCF and LCM of 28 and 42. HCF = 2 x 7 = 14 LCM = 14 x 2 x 3 = 84

  50. Numbers. HCF and LCM. 3. Find HCF and LCM of 24 and 56.

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