2
1 4 © HarperCollinsPublishers 2016 Maths Name: S&C Volume 3 Date: The Maths Herald Issue 6 - Addition Issue 6 - Addition The Puzzler Money Matters 7p 30p 37p 22p 15p 27p 16p 60p 20p 75p 28p 57p 36p 17p 76p 33p 13p AAH + AAH = HARP Each of the letters stands for a different digit. Which digit does each stand for? Explain how you worked out what each letter stands for. Look at the puzzle on the right. Apply the same rules to the 2 puzzles below to fill in the missing coins and totals. This is a 3 × 3 magic square. The sum of each column, row and diagonal is the same – this is the magic number. What is the magic number for this magic square? Is the square still magic if you: 1 add 2 to each number? 2 subtract 1 from each number? 3 multiply each number by 2? 4 multiply each number by 10? 5 add 1 2 to each number? 6 subtract 1 2 from each number? Look at this 4 × 4 magic square. What is the magic number for this magic square? Is the square still magic if you make changes 1 to 6 above? The 3 dominoes above have been arranged to make the addition calculation on the right. Arrange these 9 dominoes to make 3 similar addition calculations. 23 + 41 64 Let’s Investigate Looking for Patterns 4 9 2 3 5 7 8 1 6 4 14 15 1 9 7 6 12 5 11 10 8 16 2 3 13

AAH + AAH = HARP · 2016 Issue 6 -Addition Issue 6 -Addition Money Matters Let’s Investigate You have exactly £5 to spend in the Joke Shop. What things can you buy? How many different

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14

© H

arpe

rCol

linsP

ublis

hers

201

6

Nam

e:

Volu

me

1

Dat

e:

THE M

aths

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e:

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3

Dat

e:

The

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eral

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sue

6 -

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itio

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6 -

Add

itio

n

The

Puzz

ler

Mon

ey M

atte

rs7p 30

p

37p

22p

15p

27p

16p

60p

20p

75p

28p

57p

36p

17p

76p

33p

13p

AA

H +

AA

H =

HA

RP

Each

of

the

lett

ers

stan

ds f

or a

di

ffer

ent

digi

t.W

hich

dig

it do

es e

ach

stan

d fo

r?Ex

plai

n ho

w y

ou w

orke

d ou

t w

hat

each

le

tter

sta

nds

for.

Look

at

the

puzz

le o

n th

e rig

ht.

App

ly t

he s

ame

rule

s to

the

2 p

uzzl

es b

elow

to

fi ll i

n th

e m

issi

ng c

oins

and

tot

als.

This

is a

3 ×

3 m

agic

squ

are.

The

sum

of

each

col

umn,

row

and

dia

gona

l is

the

sam

e –

this

is t

he m

agic

num

ber.

Wha

t is

the

mag

ic n

umbe

r fo

r th

is m

agic

squ

are?

Is t

he s

quar

e st

ill m

agic

if y

ou:

1 a

dd 2

to

each

num

ber?

2 s

ubtr

act

1 fr

om e

ach

num

ber?

3 m

ultip

ly e

ach

num

ber

by 2

?4

mul

tiply

eac

h nu

mbe

r by

10?

5 a

dd 1 – 2

to e

ach

num

ber?

6 s

ubtr

act

1 – 2 fr

om e

ach

num

ber?

Look

at

this

4 ×

4 m

agic

squ

are.

Wha

t is

the

mag

ic n

umbe

r fo

r th

is m

agic

squ

are?

Is t

he s

quar

e st

ill m

agic

if y

ou m

ake

chan

ges

1 t

o 6

abo

ve?

The

3 do

min

oes

abov

e ha

ve b

een

arra

nged

to

mak

e th

e ad

ditio

n ca

lcul

atio

n on

the

rig

ht.

Arr

ange

the

se 9

dom

inoe

s to

mak

e 3

sim

ilar

addi

tion

calc

ulat

ions

.

23+

41

6

4

Let’s

Inve

stig

ate

Look

ing

for

Patt

erns

49

2

35

7

81

6

414

151

97

612

511

108

162

313

67325_P023-042.indd 3367325_P023-042.indd 33 28/03/16 11:51 AM28/03/16 11:51 AM

32

© H

arperCollinsPublishers 2016

Issue 6 - Addition

Issue 6 - Addition

Money M

atters

Let’s Investigate

You have exactly £5 to spend in the Joke Shop. W

hat things can you buy?H

ow m

any different combinations of things can you buy?

In each of the 4 puzzles below, the num

ber in the star is made by

adding the 2 numbers at the corners.

Write the m

issing numbers in the circles and stars.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9U

se each of the digits 0 to 9 only once to complete these addition

number sentences.

Write a triangle and a square addition puzzle for a friend to solve.

When you’ve fi nished, w

rite about how you w

orked out the value of each of the m

issing digits.

Look at the addition calculation on the right.The answ

er has been w

orked out using 2 different m

ethods.H

ow m

any different m

ethods can you use to w

ork out the answ

er to this addition calculation?

Whoopee

Whoopee

20

12

13

719

392413

1819

4

18229

The Puzzler

Looking for Patterns

3 +

6 =

4

7 +

25 =

2

2 +

9 =

74

7 +

34 = 1

calculation

284 + 157

67325_P023-042.indd 3467325_P023-042.indd 34 28/03/16 11:51 AM28/03/16 11:51 AM