Collins International Primary Maths - Problem Solving and Reasoning Student Book 2

Page 1

Numbers and the number system

Multiples

Solving mathematical problems

Challenge 2

4

6

0

5

10

15

0 1 2 3 4 5 6 7 8 9

Draw this number line. Starting from 0, write all the multiples of 2 above the line. Starting from 0, write all the multiples of 5 below the line. Now add together pairs of numbers that are above and below each other. 4 + 10 = 6 + 15 = 2+5= What do you notice?

Write one 2-digit number in each box. You can only use each digit once in a number.

Smallest 2-digit number

Solving mathematical problems

You will need: • set of 0–9 digit cards (optional) Largest 2-digit number

even number odd number multiple of 2 multiple of 3 multiple of 5 multiple of 10

Think about …

Think about … Think carefully about how you’re going to record the results of adding pairs of numbers that are above and below each other. You need to look out for any patterns.

Keep checking as you count along the line and write down the multiples.

How do you know that a number is a multiple of 2, a multiple of 3, a multiple of 5 or a multiple of 10?

What do you notice about the even numbers and the multiples of 2 you have written in the boxes? Why is this?

What if ?

What if ? What if you find the difference between pairs of numbers that are above and below each other? What do you notice? 10 – 4 =

15 – 6 =

What about adding together and finding the difference between pairs of multiples of 2 and 3? What about adding together and finding the difference between pairs of multiples of 3 and 5? 8

2-digit numbers Challenge g

0

5–2=

Numbers and the number system

Write 2-digit numbers in the boxes. You can only use each digit once in a number. All the numbers between 40 and 50

Number closest to 64

even number odd number

When you’v e finished, tur n to page 80.

multiple of 3 multiple of 5 multiple of 10

When you’v e finished, tur n to page 80. 9


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