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NA5 Multiples 3, 4, 5, 6, 7, 8, 9

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(1)

Try this

Here are some more sets of multiples.

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20… Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30… Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40… Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50…

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

To find the multiplesmultiples of a number, we start at zero and make jumps the size of the number. My friend will show the multiples of 5. Here she goes!

1 Write the missing multiples. Use a number line if you need to.

a Multiples of 6: 6, 12, 18, , , , , , , 60… b Multiples of 7: 7, 14, 21, , , , , , , 70… c Multiples of 8: 8, 16, 24, , , , , , , 80… d Multiples of 9: 9, 18, 27, , , , , , , 90… e Multiples of 10: 10, 20, 30, , , , , , , 100…

NA5

Multiples 3, 4, 5, 6, 7, 8, 9

(2)

Challenge

To

pi

c N

A

5

2 To solve the riddle, find which of the two bold numbers has the most multiples. In the first example, the numbers are mostly multiples of 3, so A is written in the first box at the bottom of the page.

What’s red and green, and goes 200 kilometres an hour?

a b c d e f g h i j k l m n o

A

a b c d e

6 4

11 18 12

9 25

Multiples of 3 A

Multiples of 5 B

8 7

11 15 21

10 14 9

Multiples of 5 E

Multiples of 7 F

30 16

8 36 12

60 5

Multiples of 8 Q

Multiples of 6 R

8 4

6 7

21 9 12

Multiples of 2 O

Multiples of 7 P

25 16

10 4

45 13 30

Multiples of 4 F

Multiples of 5 G

f g h i j

27 12

32 16 9

20 4 18

Multiples of 4 I

Multiples of 9 J

13 21

40 5 32

7 24 8

Multiples of 8 N

Multiples of 9 O

80 27

30 50 10

54 70 9

Multiples of 9 Z

Multiples of 10 A

21 64

9 15

40 17 12

Multiples of 3 B

Multiples of 8 C

10 9

18 35 27

72 54 63

Multiples of 5 K

Multiples of 9 L

k l m n o

2 4

8 6 27

45 14 11

Multiples of 9 D

Multiples of 2 E

36 15

10 12

5 20 21

Multiples of 5 N

Multiples of 6 O

16 30

50 23 90

3 17 9

Multiples of 4 C

Multiples of 10 D

32 19

54 56 64

24 48 29

Multiples of 8 E

Multiples of 9 F

35 2

14 9 7

42 18

Multiples of 7 R

Multiples of 3 S

Problem solving task

Leap Frog: Frog and Toad are leaping down the 24 steps to the garden pond. Frog jumps two steps at a time 0, 2, 4... and so on. Toad jumps three steps at a time 0, 3, 6... Which of the 24 steps will both Frog and Toad land on?

(3)

Try this

Here is the recommended sequence for learning the first multiplication facts:

5 x 2

6 x 5

3 x 1

9 x 2

7 x 10

6 x 10

7 x 5

5 x 4

2 x 4

6 x 2

3 x 3

4 x 3

4 x 10

8 x 5

9 x 5

7 x 10

7 x 3

5 x 3 8

x 2

7 x 2 1 Complete these multiplication facts as quickly as you can. Try not to look them up.

Multiplication facts

Multiplication facts are a very important part of your maths knowledge. They are used in many other areas of maths so learn them well.

Practise them often so you can easily recall each fact when you need it. Just like addition facts, multiplication facts have ‘turnaroundsturnarounds’. When you learn one fact, you have really learnt two!

a b c d e f g h i j

k l m n o p q r s t

Related to the addition doubles. 0 x 2 0 1 x 2 2 2 x 2 4 3 x 2 6 4 x 2 x 25

10 6 x 2 12 7 x 2 14 8 x 2 16 9 x 2 18 8 Twos facts (x 2)

Add a zero to the number. 0 x 10 0 1 x 10 10 2 x 10 20 3 x 10 30 4 x 10 x 105

50 6 x 10 60 7 x 10 70 8 x 10 80 9 x 10 90 40 Tens facts (x 10)

Count in fi ves on the clock. 0 x 5 0 1 x 5 5 2 x 5 10 3 x 5 15 4 x 5 x 55

25 6 x 5 30 7 x 5 35 8 x 5 40 9 x 5 45 20 Fives facts (x 5)

NA6

Multiplication facts 2, 3, 5, 10

Threes facts (x 3) 0 x 3 0 1 x 3 3 2 x 3 6 3 x 3 9 4 x 3 x 35

15 6 x 3 18 7 x 3 21 8 x 3 24 9 x 3 27 12

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To

pi

c N

A

6

1

2x1 1x3 4

5 3x2 7

4x2 3x3

5x2 11

6x2 13

2x7 5x3

8x2 17

9x2 19 4x5 3x7

22 23

3x8 5x5 26

3x9 28 29

6x5 31

32 33 34 7x5

4x9 37

38 39 4x10 41

42 43 44

5x9 46

47 48 49

5x10

51

52 53

54 55

56 57

58 59

6x10 61 62

6364 65

66 67

68 69 7x10

Challenge

Stegosaurus was the dinosaur with big bony plates on its back. It grew to 8 metres long and had a tiny brain the size of a walnut!

2 Complete the dot-to-dot. You will need to use multiplication facts to work out some dots.

START HERE

3 Did you notice that the fives facts always end with a zero or a five? This pattern keeps going, no matter how large the numbers become.

a Circle the fives facts below. There are 10 to find. b Write 10 more five facts of your own.

825 610 337 590 165

411 965 75 908 220

300 105 223 50 446

Birthday party:Emma’s birthday party is at Baby Animal World. The entry fee was $5 for adults and $3 for children. How many adults and children went to Baby Animal World if the total of all entrance fees for Emma’s party was $30?

adults children

Use the space provided in iMaths 4 Tracker Book to work out youranswer.

(5)

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0 x 4 0 1 x 4 4 2 x 4 8 3 x 4 12 4 x 4 x 45

20 6 x 4 24 7 x 4 28 8 x 4 32 9 x 4 36 16 Fours facts (x 4) Sixes facts (x 6) 0 x 6 0 1 x 6 6 2 x 6 12 3 x 6 18 4 x 6 x 65

30 6 x 6 36 7 x 6 42 8 x 6 48 9 x 6 54 24 Eights facts (x 8) 0 x 8 0 1 x 8 8 2 x 8 16 3 x 8 24 4 x 8 x 85

40 6 x 8 48 7 x 8 56 8 x 8 64 9 x 8 72 32 Nines facts (x 9) 0 x 9 0 1 x 9 9 2 x 9 18 3 x 9 27 4 x 9 x 95

45 6 x 9 54 7 x 9 63 8 x 9 72 9 x 9 81 36

NA7

Multiplication facts 4, 6, 8, 9

So far you have been learning and practising the twos, threes, fives and tens facts and their turnarounds.

In these next sets there are 28 new facts. Practise them often so that you can easily recall each fact when you need it.

1 Complete these multiplication facts as quickly as you can. Try not to look them up. 6

x 6

9 x 9

4 x 4

7 x 6

9 x 4

9 x 8

9 x 8

7 x 9

8 x 8

8 x 0

4 x 3

9 x 6

8 x 3

7 x 4

4 x 6

8 x 4

8 x 6

8 x 5 6

x 3

9 x 7

a b c d e f g h i j

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To

pi

c N

A

7

2 To find out, complete the dot-to-dot below. You will need to use multiplication facts to work out some dots.

What are you? If you solve this puzzle you will be a...

X 2 5 4 0 1 9 8 7 3 6

4 8

6 8 9

3 Complete this multiplication grid.

Challenge

Nines patterns: The nines multiplication facts contain many patterns. Write the facts then look down the answer list to discover a counting-by-ones pattern. Look up the answer list to find another pattern. Try adding the digits in every answer. What do you discover? Can you find more patterns?

Nines facts

0 x 9 = 0 1 x 9 = 9

1 2

3

4 x 1 5

7

1 x 6 2 x 4 9

5 x 2 11 3 x 4

15 13

14

4 x 4 17

6 x 3 5 x 4 21 22

23 8 x 3 25

26 9 x 3

6 x 5 31

8 x 4 33

34

5 x 7 6 x 6

37 38

39 5 x 8

41 7 x 6

43 44

9 x 5 46

47 49

10 x 5 51

6 x 9 55

8 x 7 57

58 59

10 x 6 61

62

9 x 7 8 x 8

65

66 67 68

69 10 x 7 71

9 x 8 73

74 75

76 77

78 79 83

82 9 x 9

8 x 10

52 53

6 x 8 29

4 x 7

19

Super savings: What is the total amount of money saved by all the boys? Brad saved $7.

Bill saved 3 times Ben’s amount. Bob saved 6 times Bill’s amount. Ben saved $3.

Baz saved 8 times Bill’s amount. Buddy saved 9 times Ben’s amount. Boss saved 6 times Brad’s amount.

Problem solving task

References

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