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Number Starter

Solve algebraic equations, find sequences, and identify number patterns in this engaging math starter pack.

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Number Starter

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  1. Number Starter

  2. Number Starter

  3. Shape Starter

  4. Shape Starter

  5. Algebra Starter

  6. Algebra Starter

  7. Data Starter

  8. Data Starter

  9. Starter #1 a, b and c are integers. If abc = 204 and bc = 51 What value is a? What two values are the other letters?

  10. Starter #1 • a – 4 • b (or c) = 17 • c (or b) = 3

  11. Starter #2 The sum of 5 different odd numbers is 51. What are the numbers?

  12. Starter #2 17 + 11 + 13 + 7 + 3

  13. Starter #3 • Find possible dimensions of the following shapes such that their perimeter is numerically equal to their area: • A square • A rectangle • A circle

  14. Starter #3 • 4cm for square • 6cm x 3cm rectangle (for example) • Circle with radius 2cm

  15. Starter #4 Which of these algebraic expressions accurately describes the following: “Take a number, subtract two, square it, add two, divide by p, square it.

  16. Starter #4 A

  17. Starter #1 • Using only the numbers 1, 2 and 3, make the numbers 1-10 using the following available operations: • +, -, x, /, ^ (“to the power of”) • You must use all three numbers each time

  18. Starter #1 • Various answers eg • (1+2)/3 • (3-2)+1 • 3/(1^2) • 2^(3-1) • (3x2)-1 • 3x2x1 • (3x2)+1 • (2x1)^3 • (3x1)^2 • 3^2 + 1

  19. Starter #2 • A sequence is generated by finding the unique prime factors of 2n. • For example, the 10th term would be the number of unique prime factors of 2x10 • 2x10 = 20 = 5 x 2 x 2 • The unique prime factors of 20 are 5 and 2 • So the 10th term in the sequence is 2. • Find the first 5 terms.

  20. Starter #2 • 1  1  2  1  2

  21. Starter #3 • A cube has volume 64cm3 • What is the length of AB? A B

  22. Starter #3 • 4Sqrt3

  23. Starter #4 • Think of a value for each letter so that the following are true: 1/a = a 2b < b c2 < c d3 < d < d2

  24. Starter #4 • a = 1 • b is negative • c is between zero and one • d is less than -1 1/a = a 2b < b c2 < c d3 < d < d2

  25. Starter #1 • Which set of 6 consecutive numbers follow these 6 properties?

  26. Starter #2 • Cube the numbers 1-10 • What is the curious pattern with the final digit of each answer?

  27. Starter #2 • 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000 • All last digits are unique (0-9)

  28. Starter #3 • What is the 200th digit of the consecutive numbers 1-200 ?

  29. Starter #3 • 103 • (1-99 is 189 (9+ 90x2) digits, 101, 102, 103.)

  30. Starter #4 • Write the numbers from 1 to 8 into the squares, so that the squares with consecutive numbers do not touch (neither edges nor corners).

  31. Starter #4

  32. Place a set of coordinates in all 4 parts of the Venn below y = 2x + 1 y = x + 3

  33. Answers various except as shown y = 2x + 1 y = x + 3 (2, 5)

  34. Place the operations +, - , x, / In the Venn below: Obeys Associative Law Obeys Distributive Law Obeys Commutative Law

  35. Place the operations +, - , x, / In the Venn below: Obeys Associative Law Obeys Distributive Law - X + / Obeys Commutative Law

  36. Place a number in all 4 partsof the Venn below Multiple of 3 Factor of 72

  37. Place two numbers in all 4 parts of the Venn below In the 6 x table In the 4 x table

  38. What is the value of “a+w+a+y”?

  39. 15

  40. What is a+b+c+d+e+f ?

  41. 720o

  42. Which line cuts the shaded area in half?

  43. XD

  44. Below is a number line. Which point represents the product of P and Q?

  45. B

  46. In the diagram, XY is a straight line. What is the value of x?

  47. 140o

  48. In the diagram, a rectangle is placed on a grid of 1cm x 1cm squares. What is the area of the rectangle?

  49. 30

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