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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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**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.**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.**Example question**22 + 5**Example answers**27 • 23, 24, 25, 26, 27 (AC) • 2 + 5 = 7 20 + 7 = 27 (EA)**Strategy diagnostic**Add sub**Question 1A**97 + 9**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)**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?**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)**Question 2Aii**I have $52 in the bank and I spend $24. How much money do I have left?**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)**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?**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)**Question 3Aii**Sarah eats of a chocolate bar and later eats another of a bar. How much has she eaten altogether?**Answers 3Aii**or (AM) • 3 quarters + 2 and a half quarters is 5 and a half quarters, which is 11 eighths (AM)**Question 3Aiii**The temperature is 8 and drops by 11 at night. What is the night time temperature?**Answers 3Aiii**-3 • 8 - 8 = 0 11-8 = 3 0 - 3 = -3 (AM) • 11 - 8 = 3 Answer is -3 (AM)**Question 4Ai**What is 0.15 – 2.3?**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)**Question 4Aii**To make soup cups of stock are added to cups of milk. How much liquid is that altogether?**2 + 1 = 3**(AP) (AP) Answers 4Aii or**Strategy diagnostic**Mult Div**Question 1M**Sarah’s class sit with 5 desks in each row. There are 7 rows of desks. How many desks are there altogether?**Answers 1M**35 • 5, 10, 15, 20, 25, 30, 35 (AC) • 5 x 7 = 35 (EA)**Question 2Mi**A garden has four rows of plants, with 14 plants in each row. How many plants are there altogether?**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)**Question 2Mii**63 movie tickets are shared amongst 9 people. How many tickets does each person get?**Answers 2Mii**7 • 9, 18, 27, 36, 45, 54, 63 (7) (EA) • 63 ÷ 9 = 7 (times tables) (AA)**Question 3Mi**A school has 28 students in each class and 6 classes. How many students altogether?**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)**Question 3Mii**96 oranges are shared amongst 8 bags. How many oranges are in each bag?**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)**Question 4Mi**A 7.2kg block of cheese is split into blocks of 0.4 kg. How many blocks can be made?**Answers 4Mi**18 • 10 blocks use 4 kg 7.2 - 4 = 3.2 3.2 ÷ 0.4 = 8 8 + 10 = 18 (AP)**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)**Strategy diagnostic**Prop Ratio**Question 1P**Sarah has 24 sweets and eats one quarter of them. How many does she eat?**Answers 1P**6 • Shares out sweets in mind (AC) • 24 ÷ 4 = 6 (EA)**Question 2Pi**What is three quarters of 28?**Answers 2Pi**21 • One quarter is 7 Three quarters are 21 (AA) • One quarter is 7 28 - 7 = 21 (AA)**Question 2Pii**8 pizzas are shared amongst three people. How much pizza does each person get?**Answers 2Pii**or • One third from each pizza so 8 thirds altogether, (AA) • 8 thirds is 2 wholes and 2 thirds, (AA)**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?**Answers 2Pii**12 • 2 x 4 = 8 3 x 4 = 12 (AM) • 8 ÷ 2 = 4 3 x 4 = 12 (AM)**Question 3Pi**24 is of a number. What is the number?**Answers 3Pi**42 • 1 seventh is 6 7 sevenths is 42**Question 3Pii**The ratio of boys to girls in a class is 3:4. If there are 28 girls how many boys are there?**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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