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Strategy Diagnostic

Strategy Diagnostic. Instructions. Solve the problem in your mind - no pen or paper methods. Write down the answer you get, and how you got it in the box. Explain your strategy to your partner and listen to their strategy.

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Strategy Diagnostic

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  1. Strategy Diagnostic

  2. Instructions • Solve the problem in your mind - no pen or paper methods. • Write down the answer you get, and how you got it in the box. • Explain your strategy to your partner and listen to their strategy. • Your teacher will then go through the answers and give you further instructions.

  3. This information is to help your teachers know what it is you still need to learn. • If you are unable to solve any of the problems, or you get a question incorrect don’t worry! This is something your teacher will be able to help you learn this year. Do not put down a code for that question.

  4. Example question 22 + 5

  5. Example answers 27 • 23, 24, 25, 26, 27 (AC) • 2 + 5 = 7 20 + 7 = 27 (EA)

  6. Strategy diagnostic Add sub

  7. Question 1A 97 + 9

  8. Answers 1A 106 • 98, 99, 100, 101, … 104, 105, 106 (AC) • 97 + 3 = 100 100 + 6 = 106 (EA) • 7 + 9 = 16 90 + 16 = 106 (EA)

  9. Question 2Ai There are 318 apples on a tree and 155 on the tree next to it. How many apples are there on both trees?

  10. Answers 2Ai 56 • 318 + 2 = 320 320 + 153 = 473 (AA) • 318 + 160 = 478 478 - 5 = 473 (AA) • 310 + 150 = 460 8 + 5 = 13 460 + 13 = 473 (AA)

  11. Question 2Aii I have $52 in the bank and I spend $24. How much money do I have left?

  12. Answers 2Aii 28 • 52 - 4 = 48 48 - 20 = 28 (AA) • 52 - 20 = 32 32 - 4 = 28 (AA) • 24 + 6 = 30 30 + 22 = 52 6 + 22 = 28 (AA)

  13. Question 3Ai One length of timber is 3.2 m and another is 1.95m. If they are laid end to end what is their total length?

  14. Answers 3Ai 5.15 • 1.95 + 0.2 = 2.15 2.15 + 3 = 5.15 (AM) • 2 + 3.2 = 5.2 5.2 - 0.05 = 5.15 (AM) • 0.2 + 0.95 = 1.15 3 + 1 = 4 4 + 1.15 = 5.15 (AM)

  15. Question 3Aii Sarah eats of a chocolate bar and later eats another of a bar. How much has she eaten altogether?

  16. Answers 3Aii or (AM) • 3 quarters + 2 and a half quarters is 5 and a half quarters, which is 11 eighths (AM)

  17. Question 3Aiii The temperature is 8 and drops by 11 at night. What is the night time temperature?

  18. Answers 3Aiii -3 • 8 - 8 = 0 11-8 = 3 0 - 3 = -3 (AM) • 11 - 8 = 3 Answer is -3 (AM)

  19. Question 4Ai What is 0.15 – 2.3?

  20. Answers 4Ai -2.15 • 2.3 - 0.15 = 2.15 Answer is -2.15 (AP) • 0.15 - 0.15 = 0 2.3 - 0.15 = 0.15 0 - 2.15 = -2.15 (AP)

  21. Question 4Aii To make soup cups of stock are added to cups of milk. How much liquid is that altogether?

  22. 2 + 1 = 3 (AP) (AP) Answers 4Aii or

  23. Strategy diagnostic Mult Div

  24. Question 1M Sarah’s class sit with 5 desks in each row. There are 7 rows of desks. How many desks are there altogether?

  25. Answers 1M 35 • 5, 10, 15, 20, 25, 30, 35 (AC) • 5 x 7 = 35 (EA)

  26. Question 2Mi A garden has four rows of plants, with 14 plants in each row. How many plants are there altogether?

  27. Answers 2Mi 56 • 14 + 14 + 14 + 14 = 56 (EA) • 2 x 14 = 28 28 x 2 = 56 (AA) • 4 x 10 = 40 4 x 4 = 16 40 + 16 = 56 (AA)

  28. Question 2Mii 63 movie tickets are shared amongst 9 people. How many tickets does each person get?

  29. Answers 2Mii 7 • 9, 18, 27, 36, 45, 54, 63 (7) (EA) • 63 ÷ 9 = 7 (times tables) (AA)

  30. Question 3Mi A school has 28 students in each class and 6 classes. How many students altogether?

  31. Answers 3Mi 168 • 6 x 20 = 120 6 x 8 = 48 120 + 48 = 168 (AM) • 6 x 30 = 180 6 x 2 = 12 180 - 12 = 168 (AM)

  32. Question 3Mii 96 oranges are shared amongst 8 bags. How many oranges are in each bag?

  33. Answers 3Mii 12 • 80 ÷ 8 = 10 96 - 80 = 16 16 ÷ 8 = 2 10 + 2 = 12 (AM) • 96 ÷ 2 = 48 48 ÷ 2 = 24 24 ÷ 2 = 12 (AM)

  34. Question 4Mi A 7.2kg block of cheese is split into blocks of 0.4 kg. How many blocks can be made?

  35. Answers 4Mi 18 • 10 blocks use 4 kg 7.2 - 4 = 3.2 3.2 ÷ 0.4 = 8 8 + 10 = 18 (AP)

  36. Question 4Mii

  37. Answers 4Mii 2.7 • 1 quarter of 3.6 = 0.9 3 quarters is 2.7 (AP) • 3.6 x 3 = 9 + 1.8 = 10.8 10.8 ÷ 4 = 5.4 ÷ 2 = 2.7 (AP)

  38. Strategy diagnostic Prop Ratio

  39. Question 1P Sarah has 24 sweets and eats one quarter of them. How many does she eat?

  40. Answers 1P 6 • Shares out sweets in mind (AC) • 24 ÷ 4 = 6 (EA)

  41. Question 2Pi What is three quarters of 28?

  42. Answers 2Pi 21 • One quarter is 7 Three quarters are 21 (AA) • One quarter is 7 28 - 7 = 21 (AA)

  43. Question 2Pii 8 pizzas are shared amongst three people. How much pizza does each person get?

  44. Answers 2Pii or • One third from each pizza so 8 thirds altogether, (AA) • 8 thirds is 2 wholes and 2 thirds, (AA)

  45. Question 2Piii The ratio of red to blue in purple paint is 2:3. If I use 8 litres of red how much blue do I need?

  46. Answers 2Pii 12 • 2 x 4 = 8 3 x 4 = 12 (AM) • 8 ÷ 2 = 4 3 x 4 = 12 (AM)

  47. Question 3Pi 24 is of a number. What is the number?

  48. Answers 3Pi 42 • 1 seventh is 6 7 sevenths is 42

  49. Question 3Pii The ratio of boys to girls in a class is 3:4. If there are 28 girls how many boys are there?

  50. Answers 3Pii 21 • 4 sevenths is 28 1 seventh is 7 3 sevenths is 21 (AM) • 28 ÷ 4 = 7 3 x 7 = 21 (AM)

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