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. 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

23, 24, 25, 26, 27 (AC)

2 + 5 = 7

20 + 7 = 27 (EA)

27

Strategy diagnostic

Add sub

Question 1A

97 + 9

Answers 1A

98, 99, 100, 101, … 104, 105, 106 (AC)

97 + 3 = 100

100 + 6 = 106 (EA)

7 + 9 = 16

90 + 16 = 106 (EA)

106

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 318 + 2 = 320

320 + 153 = 473 (AA)

318 + 160 = 478478 - 5 = 473 (AA)

310 + 150 = 4608 + 5 = 13460 + 13 = 473 (AA)

56

Question 2Aii

I have $52 in the bank and I spend $24.

How much money do I have left?

Answers 2Aii 52 - 4 = 48

48 - 20 = 28 (AA)

52 - 20 = 3232 - 4 = 28 (AA)

24 + 6 = 3030 + 22 = 526 + 22 = 28(AA)

28

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 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)

5.15

3

4

Question 3Aii

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

5

8

3

46

86

8 58

118

Answers 3Aii

(AM)

3 quarters + 2 and a half quarters is 5 and a half quarters, which is 11 eighths (AM)

11

8

13

8or

Question 3Aiii

The temperature is 8 and drops by 11 at night. What is the night time temperature?

Answers 3Aiii

8 - 8 = 0

11-8 = 3

0 - 3 = -3 (AM)

11 - 8 = 3

Answer is -3 (AM)

-3

Question 4Ai

What is 0.15 – 2.3?

Answers 4Ai

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)

-2.15

Question 4Aii

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

23

4

12

3

Answers 4Aii 2 + 1 = 3

(AP)

3

42

39

128

1217

12

234

123

114

53

33

1220

1253

12

(5312

4 512)

317

124

5

12

(AP)

53

12

45

12or

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

5, 10, 15, 20, 25, 30, 35 (AC)

5 x 7 = 35 (EA)

35

Question 2Mi

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

Answers 2Mi 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)

56

Question 2Mii

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

Answers 2Mii

9, 18, 27, 36, 45, 54, 63 (7) (EA)

63 ÷ 9 = 7 (times tables) (AA)

7

Question 3Mi

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

Answers 3Mi

6 x 20 = 120

6 x 8 = 48

120 + 48 = 168(AM)

6 x 30 = 180

6 x 2 = 12

180 - 12 = 168 (AM)

168

Question 3Mii

96 oranges are shared amongst 8 bags. How many oranges are in each bag?

Answers 3Mii 80 ÷ 8 = 10

96 - 80 = 16

16 ÷ 8 = 2

10 + 2 = 12(AM)

96 ÷ 2 = 48

48 ÷ 2 = 24

24 ÷ 2 = 12(AM)

12

Question 4Mi

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

Answers 4Mi

10 blocks use 4 kg

7.2 - 4 = 3.2

3.2 ÷ 0.4 = 8

8 + 10 = 18 (AP)

18

Question 4Mii

3.63

4

Answers 4Mii

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)

2.7

Strategy diagnostic

Prop Ratio

Question 1P

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

Answers 1P

Shares out sweets in mind (AC)

24 ÷ 4 = 6 (EA)

6

Question 2Pi

What is three quarters of 28?

Answers 2Pi

One quarter is 7

Three quarters are 21 (AA)

One quarter is 7

28 - 7 = 21 (AA)

21

Question 2Pii

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

Answers 2Pii

One third from each pizza so 8 thirds altogether, (AA)

8 thirds is 2 wholes and 2 thirds, (AA)

22

3

8

3

22

3or

8

3

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

2 x 4 = 8

3 x 4 = 12(AM)

8 ÷ 2 = 4

3 x 4 = 12 (AM)

12

Question 3Pi

24 is of a number.

What is the number?

4

7

Answers 3Pi

1 seventh is 6

7 sevenths is 42

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

4 sevenths is 28

1 seventh is 7

3 sevenths is 21 (AM)

28 ÷ 4 = 7

3 x 7 = 21 (AM)

21

Question 4Pi

A crepe recipe calls for 2 eggs for every of a cup of flour. If I use 3 eggs how much flour do I need?

3

4

Anwers 4Pi One and a half lots of three quarters (AP)

One and a half lots of three quarters = four and a half quarters = 9 eighths = 1 whole and 1 eighth (AP)

3

43

86

83

89

8118

9

8

11

8or

Question 4Pii

What is 65% of 24?

Answers 4Pii 50% = 12

10% = 2.45% = 1.212 + 2.4 + 1.2 = 15.6 (AP)

10% = 2.45% = 1.265 / 5 = 1313 x 1.2 = 13 + 2.6 = 15.6 (AP)

15.6