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NON DIGITAL & ADDITIONAL RESOURCES Note: These are not in order, they are laid out in as manner to save paper.
TUESDAY –STEM THURSDAY - DRAMA FRIDAY - LITERACY
This is a News Report written by a Yr 6 student inspired by the ‘Pigeon Impossible’ short story. Use this as inspiration for a different mission for Walter, to be destroyed by the pigeon. Tell your story as a comic strip.
Observe the stills above from the short film called “Teeth”. What happened to change the way the men are facing in the boat? Why is the story called “Teeth”? Write the dialogue between the men.
TUESDAY – WRITING
Blue whale facts Source: Blue whale facts for kids | National Geographic Kids (natgeokids.com) Scientific name: Balaenoptera musculus
Phylum: Chordata
Family: Balaenopteridae
Classification: Mammal
IUCN status: Endangered
Lifespan (in wild): 80-90 years
Weight: More than 130,000kg
Body size: 30m long
Diet: Carnivore
Habitat: Ocean
1) The largest animals to have ever lived on Earth, blue whales can grow to over 30m long and weigh more than 130,000kg – that’s longer than three buses and heavier than three lorries! 2) Pretty much everything about the blue whale is massive. It’s tongue weighs as much as an elephant, its heart is the size of a car and its blood vessels are so wide you could swim through them! 3) These blue-grey giants have a long, stream-lined body, a wide head, huge flippers, a powerful tail and a small dorsal fin. Some individuals have a yellowy-coloured underside, giving rise to the nickname ‘sulphur bottom’ whales. 4) Blue whales can be found in all of our planet’s oceans, except the Arctic, usually swimming alone or in groups of two to four. But in areas where there’s lots of food available, as many as 60 whales may come together. 5) Despite their humongous size, blue whales eat tiny shrimp-like crustaceans called krill. But they shift a fair few of these seafood snacks – up to 40 million each day, in fact! 6) These marine marvels are a species of ‘baleen’ whale. Instead of teeth, they have baleen, a fibrous material used to filter their food. When eating, the whale lets a huge volume of water and krill into its mouth. It then pushes the water through its 300-400 baleen plates, which trap the tasty grub to be swallowed. Gulp! 7) To communicate with each other, blue whales make a series of super-loud vocal sounds. Their calls are the loudest of any creature on the planet, in fact, and can be heard underwater for hundreds of kilometres. 8) These awesome aquatic animals follow a seasonal migration pattern. During the feeding season, they fill up on krill in cold polar waters. They then travel to warmer, tropical waters to mate and give birth. 9) At birth, blue whale calves measure around 8m long and weigh a massive 4,000kg! They grow quickly, too – for seven to eight months, these bulky babies suckle on their mother’s rich, fatty milk, and gain around 90kg each day! 10) Sadly, in the late 19th early 20th century, blue whales were heavily hunted. And despite a global hunting ban in 1966, their population has declined by 70-90 percent in the past 150 years. With only 10,000-25,000 left in the wild, these magnificence marine mammals are today classified as an endangered species.
WEEK 1: TUESDAY MATHEMATICS ACTIVITIES
Note: Work to your level.
You are not expected to complete ALL of the set maths activities.
Try to spend at least 45 minutes to an hour on mathematics each day
All answers are included so take the time to mark your work as you go to ensure you are on track.
Choose the Maths Online ones if you are looking for detailed explanations and easier activities.
MathsOnline - Maths Tuition For All Australian K-12 Students
Choose Mathantics if you just need lots of practice. Remember you can go to the website and watch
the videos that match the worksheets if you need extra support with these.
Math Antics | Basic Math Videos and Worksheets
Choose NRich if you are already super confident and need to extend to word problems.
NRICH - Mathematics Resources for Teachers, Parents and Students to Enrich Learning (maths.org)
© 2013 Math Plus Motion, LLC
®
Date:
Name:
Multi-Digit Multiplication, Part 2 • mathantics.com
Multiplying by a 3-Digit Number (with guides)Instructions: Multiply these numbers.
56
7 3
0 1
1 6
5 21,
34
2 0
6 3
3 2
4 5
3
2 7
8 7
2
5 4
3 9
×
× ×
× ×
+
+ +
+ +
Example
1 2
3 4
6000
0 0
0 0
0 0
0 0
0 0
0 0
112
1
11 031
991
92 6
52
162
082
Because we have 3 answers, there are 3 sets of carried digits.
Remember, our third answer line needs two zeros so that it’s 100 times bigger.
MM2 3
© 2013 Math Plus Motion, LLC
®
Date:
Name:
Multi-Digit Multiplication, Part 2 • mathantics.com
Multi-Digit Multiplication PracticeInstructions: Multiply these numbers.
4
5
3
8
9
31
2
1
7
4
4
9
8
2
7
6
8
5
3
6
5
3
1
4
×
×
×
×
×
×
1
4
2
5 6
3
0 1 76 5 32 7 5
5 4 16 2 4× × ×
987
MM2 4
44160 4
911,
21
1
0+
© 2015 Math Plus Motion, LLC
®
Date:
Name:
Long Division with 2-Digit Divisors • mathantics.com
2-Digit Divisor Practice (Set 2)Instructions: Divide. Follow the procedure you learned from the video. Remember, it’s helpful to use estimating and some trial-and-error to figure out each division step.
4 1
2 1
91
, ,
,,
4 5
5 9
18
0 2
43
6 3
3 8
41
14 21
25 32
2113
-
-
4
40
84
6
56
8
1 2
43
65
2DD 3
© 2015 Math Plus Motion, LLC
®
Date:
Name:
Long Division with 2-Digit Divisors • mathantics.com
Really Long 2-Digit Divisor Practice (Set 1)Instructions: Divide. Follow the procedure you learned from the video. Remember, it’s helpful to use estimating and some trial-and-error to figure out each division step.
0
23
1 ,
,,
, 3
98
7 2
32
0 25
64
0 9
34
3
12
50 75
23
3 4
21
2DD 4
These problems are adapted from UKMT (ukmt.org.uk) and WMC (competition.ac) problems.
nrich.maths.org/9257
© University of Cambridge
NRICH Short Problems
Factors, Multiples and Primes
Age 11+ Level Worksheet 1
1. Find from Factors
A certain number has exactly eight factors including 1 and itself.
Two of its factors are 21 and 35. What is the number?
2. One Short
A positive whole number less than 100 has remainder 2 when it is
divided by 3, remainder 3 when it is divided by 4 and remainder 4
when it is divided by 5.
What is its remainder when it is divided by 7?
3. Grandma’s Cake
Grandma bakes a cake for her grandchildren who are going to visit
her. She has forgotten whether 3, 5 or all 6 of her grandchildren will
visit.
She wants all of the cake to be eaten by her grandchildren and would
like each grandchild to get the same amount of cake.
To prepare for all three possibilities, what is the smallest number of
pieces into which she should cut the cake?
4. Ones, Twos and Threes
Each digit of a positive integer is 1, 2 or 3. Each of these digits occurs
at least twice in the number.
What is the smallest such integer that is not divisible by 2 or 3?
5. Red Card Blue Card
Sally has 5 red cards, numbered 1, 2, 3, 4 and 5, and 4 blue cards,
numbered 3, 4, 5 and 6.
Can you find a way in which Sally can line the cards up so that the
colours alternate, and so that the number on each red card is a factor
of every number next to it?
1 2
2 611
3 1
0 8
4 3
1
1 11 1
1
1 1
4 23 31
2
6 4
2 5
8 52
5 91 01
4 0
8 1
3 0
0 63 3
1 7
3 8
0 4
0 6
0 8
4 3
4 0
4 5
6 4
2 5
5 21
0 02 6
9 9
2 9
5 9
5 5
5 21
3 52 6
© 2013 Math Plus Motion, LLC
®
Date:
Name:
Multi-Digit Multiplication, Part 2 • mathantics.com
Multiplying by a 3-Digit Number (with guides)Instructions: Multiply these numbers.
56
7 3
0 1
1 6
5 21,
34
2 0
6 3
3 2
4 5
3
2 7
8 7
2
5 4
3 9
×
× ×
× ×
+
+ +
+ +
Example
1 2
3 4
6000
0 0
0 0
0 0
0 0
0 0
0 0
112
1
11 031
991
92 6
52
162
082
Because we have 3 answers, there are 3 sets of carried digits.
Remember, our third answer line needs two zeros so that it’s 100 times bigger.
MM2 3
2
5
8
8
013
1
81
3
1
4
2
1
5
9
45
243
1
2
9
4
2
3
5223
7
9
1
11
92
5
8
8
05
522
433
2
93
1118
7
6
04,
6
+ + +0 0 0
3
,
,,
, ,
2
0 8 4
12 3
1 11
1 13 2 86 0 43 1 10 8 52 5 81 3 13 0 30 8 4
1 9 57 0 05 7 01 3 2 ,
0
0
0
0
0+
+
+
+
+
© 2013 Math Plus Motion, LLC
®
Date:
Name:
Multi-Digit Multiplication, Part 2 • mathantics.com
Multi-Digit Multiplication PracticeInstructions: Multiply these numbers.
4
5
3
8
9
31
2
1
7
4
4
9
8
2
7
6
8
5
3
6
5
3
1
4
×
×
×
×
×
×
1
4
2
5 6
3
0 1 76 5 32 7 5
5 4 16 2 4× × ×
987
MM2 4
44160 4
911,
21
1
0+
-
-
-
x
x
x
-
-
-
-
-
-
-
-
-
1
5
3
3
9
2
2
1
50
36
7
4
0
0
0
99
8
011
76
11
11
7
7
1
5
90
1
557
1
00
11
33
22
4
5
6
4
0
1
2 1
6 4
4
3
3
1
6
9
1
1
1
12
2
2
3
5
6
9
1
1
2
0
2
7
2 5
0
8
© 2015 Math Plus Motion, LLC
®
Date:
Name:
Long Division with 2-Digit Divisors • mathantics.com
2-Digit Divisor Practice (Set 2)Instructions: Divide. Follow the procedure you learned from the video. Remember, it’s helpful to use estimating and some trial-and-error to figure out each division step.
4 1
2 1
91
, ,
,,
4 5
5 9
18
0 2
43
6 3
3 8
41
14 21
25 32
2113
-
-
4
40
84
6
56
8
1 2
43
65
2DD 3
-
--
-
--
- -
-
--
-
-
--
1
13
0
35
3
2
4 4 3
2
22
5 5
7
1 1
3
960
00
4242
6464
0
00
0
76
2
6
2
23
01 1
3 75
99
7
7 5
98
3 2
22
02
22
55
0
32
00
2,
46
6
,,
36
00 30 0
© 2015 Math Plus Motion, LLC
®
Date:
Name:
Long Division with 2-Digit Divisors • mathantics.com
Really Long 2-Digit Divisor Practice (Set 1)Instructions: Divide. Follow the procedure you learned from the video. Remember, it’s helpful to use estimating and some trial-and-error to figure out each division step.
0
23
1 ,
,,
, 3
98
7 2
32
0 25
64
0 9
34
3
12
50 75
23
3 4
21
2DD 4
These problems are adapted from UKMT (ukmt.org.uk) and WMC (competition.ac) problems.
nrich.maths.org/9257
© University of Cambridge
NRICH Short Problems
Factors, Multiples and Primes
Age 11+ Level !!
Worksheet 1 - Solutions
1. Find from Factors
105
nrich.maths.org/4989/solution
2. One Short
The remainder is 3 (59 ÷ 7 = 8 remainder 3)
nrich.maths.org/10135/solution
3. Grandma’s Cake
If we assume that all the pieces are the same size, 30 slices.
Otherwise, 10 slices
nrich.maths.org/11613/solution
4. Ones, Twos and Threes
The smallest integer is 1112233
nrich.maths.org/11699/solution
5. Red Card Blue Card
5 5 1 3 3 6 2 4 4 or its mirror image 4 4 2 6 3 3 1 5 5
nrich.maths.org/12808/solution
WEEK 1: WEDNESDAY MATHEMATICS ACTIVITIES
Note: Work to your level.
You are not expected to complete ALL of the set maths activities.
Try to spend at least 45 minutes to an hour on mathematics each day
All answers are included so take the time to mark your work as you go to ensure you are on track.
Choose the Maths Online ones if you are looking for detailed explanations and easier activities.
MathsOnline - Maths Tuition For All Australian K-12 Students
Choose Mathantics if you just need lots of practice. Remember you can go to the website and watch
the videos that match the worksheets if you need extra support with these.
Math Antics | Basic Math Videos and Worksheets
Choose NRich if you are already super confident and need to extend to word problems.
NRICH - Mathematics Resources for Teachers, Parents and Students to Enrich Learning (maths.org)
© 2013 Math Plus Motion, LLC
®
Date:
Name:
Simplifying Fractions • mathantics.com
Simplifying Fractions - Set 2
1 15 20 = =
3 12 18 = =
13 42 63 = =
11 18 36 = =
5 20 25 = =
15 60 75 = =
7 14 21 = =
17 36 84 = =
9 20 32 = = 10 32
40 = =
2 16 30 = =
12 45 125= =
4 15 45 = =
14 63 105= =
6 2739 = =
16 42 140= =
8 4872 = =
18 33121= =
Instructions: Simplify these fractions using the procedure you learned in the video. Cancel any common factors and remultiply remaining factors to get your final answer.
3x5 2x2x5
34
Fractions
SIM 2
© 2013 Math Plus Motion, LLC
®
Date:
Name:
Dividing Fractions • mathantics.com
Finding the ReciprocalInstructions: Write the reciprocal of each fraction by switching the top and bottom numbers.
Instructions: Multiply each fraction by its reciprocal to get a ‘whole fraction’ which is just 1.
Fractions
3 8
83
reciprocal:1
3 1 5
reciprocal: 4 6 15
reciprocal:
2 8 12
reciprocal:
7 2 7
reciprocal: 8 7 11
reciprocal:
5 3 4
reciprocal: 6 20 35
reciprocal:
9 8 19
reciprocal: 10 12 32
reciprocal:
2 1 5105102
× = =1
3 4 1 7 × = = 4 5 1 3 × = =
2 4 1 5 × = =
7 6 1 8 × = = 8 7 1 9 × = =
5 3 1 7 × = = 6 1 1 11 × = =
9 2 1 9 × = = 10 3 1 12 × = =
DIV 1
© 2013 Math Plus Motion, LLC
®
Date:
Name:
Dividing Fractions • mathantics.com
Dividing Fractions (Guided Practice)Instructions: Solve these division problems by multiplying by the reciprocal. Use the guides to help you. You do not need to simplify your answers.
3 43 4
2 5÷
× =
1
3 1 71 7
1 4÷
× =
4 8 138
13
1 2÷
× =
2 5 45 4
2 3÷
× =
7 5 85 8
3 4÷
× =
8 1 121
12
1 12÷
× =
5 3 53 5
1 6÷
× =
6 4 84 8
5 1÷
× =
9 7 97 9
2 3÷
× =
10 1 81 8
3 16÷
× =
11 5 115
11
4 7÷
× =
12 9 109
10
5 6÷
× =
15582
Fractions
DIV 2
© 2013 Math Plus Motion, LLC
®
Date:
Name:
Dividing Fractions • mathantics.com
Dividing Fractions (More Practice)Instructions: Solve these division problems by multiplying by the reciprocal. You do not need to simplify your answers.
1 6
3 7÷1
3 5 12
1 4÷ 4 4
115 7÷
2 5 6
3 4÷
5 4 7
2 3÷ 6 9
25 1÷
9 1 16
1 6÷ 10 11
122 3÷
7 6 5
5 3÷ 8 2
77 9÷
11 3 10
7 8÷ 12 10
88 9÷
x = 718
73
16
Fractions
DIV 3
© 2013 Math Plus Motion, LLC
®
Date:
Name:
Dividing Fractions • mathantics.com
Dividing a Fraction by a Whole Number (and Vice-Versa)Instructions: Solve these division problems. You do not need to simplify your answers in this exercise set.
4 10 9 2÷ =
2 5 3 8÷ =
7 9 4 7÷ = 8 8 3
4÷ =
10 4 1 10÷ =
2 3 5 ÷ =1
3 3 1 4 ÷ =
5 5 6 7 ÷ = 6 4 1
4 ÷ =
9 2 5 12 ÷ =
÷
x =
3535
2112
310
Fractions
DIV 4
These problems are adapted from UKMT (ukmt.org.uk) and WMC (competition.ac) problems.
nrich.maths.org/9325
© University of Cambridge
NRICH Short Problems
Fractions, Decimals and Percentages
Age 11+ Level Worksheet 1
1. Charlie’s Money
Charlie spent 1
4 of his money on a book, and then gave his brother
2
3
of what was left, and still had £9 remaining.
How much money did he start off with?
2. Pride of Place
The fractions 1
3 and
1
5 have been
placed on the number-line
shown. At which position should
the fraction 1
4 be placed?
3. Three Blind Mice
The three blind mice stole a piece of cheese.
In the night, the first mouse ate 1
3 of the cheese.
Later, the second mouse ate 1
3 of the remaining cheese.
Finally, the third mouse ate 1
3 of what was then left of the cheese.
What fraction of the cheese is left?
4. Halfway
What number is halfway between −2
3 and
4
5 ?
5. Magical Products
Put the nine numbers below onto a 3 by 3 grid so that each number
occupies one space, and the product of every row, column and
diagonal is equal to 1.
1 2 3 6 1
6
1
3
1
2
2
3
3
2
2x2x2x2x2 2x2x2x5
45
2x2x5 2x2x2x2x2
58
2x2x2x2 2x3x5
815
3x3x5 5x5x5
925
3x53x3x5
13
3x3x7 5x3x7
35
3x3x33x13
913
2x3x72x2x5x7
310
2x2x2x2x32x2x2x3x3
23
3x1111x11
311
2x2x3 2x3x3
23
2x3x7 3x3x7
23
2x3x3 2x3x2x3
12
2x2x5 5x5
45
2x3x2x5 3x5x5
45
2x7 3x7
23
2x2x3x3 2x2x3x7
37
© 2013 Math Plus Motion, LLC
®
Date:
Name:
Simplifying Fractions • mathantics.com
Simplifying Fractions - Set 2
1 15 20 = =
3 12 18 = =
13 42 63 = =
11 18 36 = =
5 20 25 = =
15 60 75 = =
7 14 21 = =
17 36 84 = =
9 20 32 = = 10 32
40 = =
2 16 30 = =
12 45 125= =
4 15 45 = =
14 63 105= =
6 2739 = =
16 42 140= =
8 4872 = =
18 33121= =
Instructions: Simplify these fractions using the procedure you learned in the video. Cancel any common factors and remultiply remaining factors to get your final answer.
3x5 2x2x5
34
Fractions
SIM 2
51
156
128
72
117
43
3520
198
3212
287284
153155
205204
488486
639637
217213
1111111
189182
3612363
© 2013 Math Plus Motion, LLC
®
Date:
Name:
Dividing Fractions • mathantics.com
Finding the ReciprocalInstructions: Write the reciprocal of each fraction by switching the top and bottom numbers.
Instructions: Multiply each fraction by its reciprocal to get a ‘whole fraction’ which is just 1.
Fractions
3 8
83
reciprocal:1
3 1 5
reciprocal: 4 6 15
reciprocal:
2 8 12
reciprocal:
7 2 7
reciprocal: 8 7 11
reciprocal:
5 3 4
reciprocal: 6 20 35
reciprocal:
9 8 19
reciprocal: 10 12 32
reciprocal:
2 1 5105102
× = =1
3 4 1 7 × = = 4 5 1 3 × = =
2 4 1 5 × = =
7 6 1 8 × = = 8 7 1 9 × = =
5 3 1 7 × = = 6 1 1 11 × = =
9 2 1 9 × = = 10 3 1 12 × = =
DIV 1
47
41
1613
21
158
32
2024
43
121
1212 = 1
185
61
440
15
2118
32
1624
163
3544
74
5450
65
© 2013 Math Plus Motion, LLC
®
Date:
Name:
Dividing Fractions • mathantics.com
Dividing Fractions (Guided Practice)Instructions: Solve these division problems by multiplying by the reciprocal. Use the guides to help you. You do not need to simplify your answers.
3 43 4
2 5÷
× =
1
3 1 71 7
1 4÷
× =
4 8 138
13
1 2÷
× =
2 5 45 4
2 3÷
× =
7 5 85 8
3 4÷
× =
8 1 121
12
1 12÷
× =
5 3 53 5
1 6÷
× =
6 4 84 8
5 1÷
× =
9 7 97 9
2 3÷
× =
10 1 81 8
3 16÷
× =
11 5 115
11
4 7÷
× =
12 9 109
10
5 6÷
× =
15582
Fractions
DIV 2
512
41
2012=x 4
1175
2855=x
56
43
2018=x
47
32
1214=x 9
215
910=x
116
61
616=x 11
1232
3324=x
65
35
1825=x 2
797
1849=x
310
87
2470=x 10
898
9064=x
© 2013 Math Plus Motion, LLC
®
Date:
Name:
Dividing Fractions • mathantics.com
Dividing Fractions (More Practice)Instructions: Solve these division problems by multiplying by the reciprocal. You do not need to simplify your answers.
1 6
3 7÷1
3 5 12
1 4÷ 4 4
115 7÷
2 5 6
3 4÷
5 4 7
2 3÷ 6 9
25 1÷
9 1 16
1 6÷ 10 11
122 3÷
7 6 5
5 3÷ 8 2
77 9÷
11 3 10
7 8÷ 12 10
88 9÷
x = 718
73
16
Fractions
DIV 3
÷
x =
1414
3113
112
÷
x =
6767
5115
635
÷
x =
1414
4114
116
÷
x =
512512
2 112
524
÷
x =
101101
9229
209
÷
x =
5151
3883
403
÷
x =
9191
4774
634
÷
x =
8181
3443
323
÷
x =
4141
110101
40 = 401
© 2013 Math Plus Motion, LLC
®
Date:
Name:
Dividing Fractions • mathantics.com
Dividing a Fraction by a Whole Number (and Vice-Versa)Instructions: Solve these division problems. You do not need to simplify your answers in this exercise set.
4 10 9 2÷ =
2 5 3 8÷ =
7 9 4 7÷ = 8 8 3
4÷ =
10 4 1 10÷ =
2 3 5 ÷ =1
3 3 1 4 ÷ =
5 5 6 7 ÷ = 6 4 1
4 ÷ =
9 2 5 12 ÷ =
÷
x =
3535
2112
310
Fractions
DIV 4
These problems are adapted from UKMT (ukmt.org.uk) and WMC (competition.ac) problems.
nrich.maths.org/9325
© University of Cambridge
NRICH Short Problems
Fractions, Decimals and Percentages
Age 11+ Level !!
Worksheet 1
1. Charlie’s Money
He started off with £36
nrich.maths.org/13541/solution
2. Pride of Place
nrich.maths.org/7141/solution
3. Three Blind Mice !!"
of the cheese is left
nrich.maths.org/9767/solution
4. Halfway !!!
is halfway
nrich.maths.org/6787/solution
5. Magical Products
nrich.maths.org/7189/solution
3 16
2
23
1 32
12
6 13
WEEK 1: THURSDAY MATHEMATICS ACTIVITIES
Note: Work to your level.
You are not expected to complete ALL of the set maths activities.
Try to spend at least 45 minutes to an hour on mathematics each day
All answers are included so take the time to mark your work as you go to ensure you are on track.
Choose the Maths Online ones if you are looking for detailed explanations and easier activities.
MathsOnline - Maths Tuition For All Australian K-12 Students
Choose Mathantics if you just need lots of practice. Remember you can go to the website and watch
the videos that match the worksheets if you need extra support with these.
Math Antics | Basic Math Videos and Worksheets
Choose NRich if you are already super confident and need to extend to word problems.
NRICH - Mathematics Resources for Teachers, Parents and Students to Enrich Learning (maths.org)
© 2015 Math Plus Motion, LLC
®
Date:
Name:
Decimal Arithmetic • mathantics.com
Decimal AdditionInstructions: Add these decimals using the procedure you learned in the video. Don’t forget to line up the decimal points when adding.
5
8
2
6
9
3
4
7
1
DA 1
245 + 8.9
0.412 + 0.65
5.8 + 12.4
17.2 + 25.6
33.75 + 9.8
3.2 + 0.5
83.6 + 2.125
0.123 + 45.6
10.9 + 0.12
48
112.8.
5.+
2
1
© 2015 Math Plus Motion, LLC
®
Date:
Name:
Decimal Arithmetic • mathantics.com
Decimal SubtractionInstructions: Subtract these decimals using the procedure you learned in the video. Don’t forget to line up the decimal points when subtracting and remember that order matters in subtraction.
5
8
2
6
9
3
4
7
1
DA 2
8.9 − 5.7
129.8 − 85.4
9.23 − 4.5
50.7 − 42.1
0.745 − 0.561
8.0 − 0.6
81.3 − 6.75
4.925 − 3.8
12 − 1.3
523
04.4.
9.−
73
81
© 2015 Math Plus Motion, LLC
®
Date:
Name:
Decimal Arithmetic • mathantics.com
Decimal MultiplicationInstructions: Multiply these decimals using the procedure you learned in the video. (Remember to pretend that you are working with whole numbers and then shift the decimal in your answer.)
5
8
2
6
9
3
4
7
1
DA 3
316 × 2.8
9.23 × 3.1
3.2 × 5.26 4.5 × 2.4
70.4 × 3.4
62 × 1.8 0.125 × 65
0.25 × 0.11
0.34 × 0.216
62
078
1115
25.
583
3.
6.
×
+202
11
1
© 2015 Math Plus Motion, LLC
®
Date:
Name:
Decimal Arithmetic • mathantics.com
Decimal DivisionInstructions: Divide these decimals using the procedure you learned in the video. Remember, you can shift the decimals in both the divisor and the dividend to make an equivalent division problem that does not have a decimal divisor.
3 4
2
5 6
1
DA 4
111
5
43
50
32
1
6 9-
-
-
1 53.. . 5
6
86
9
2 8
7
47
6
4 5
6
25
5 .
.
.
.
. 2
5
23
6
7 1.1
0.12
1.42.5
8
2.3
© 2015 Math Plus Motion, LLC
®
Date:
Name:
Decimal Arithmetic • mathantics.com
Decimal Arithmetic - Mixed PracticeInstructions: Solve each problem using the procedures you learned in the video.
5
8
2
6
9
3
4
7
1
DA 5
925 + 7.5
0.758 + 62.9
42.5 + 0.63
7.042 − 6.1
28 − 6.3 0.32 × 0.49
2.67 × 5.4 2 12.40.13
8 75.40.5
These problems are adapted from UKMT (ukmt.org.uk) and WMC (competition.ac) problems.
nrich.maths.org/9325
© University of Cambridge
NRICH Short Problems
Fractions, Decimals and Percentages
Age 11+ Level Worksheet 1
1. Too Close to Call
Arrange these fractions in order, from smallest to largest:
111110
111111
222221
222223
333331
333334
2. Tricky Fractions
Find 𝑥, where
1
2−
1
4+
1
8−
1
16+ ⋯ −
1
1024=
𝑥
1024
3. Peanut Harvest
My four pet monkeys and I harvested a large pile of peanuts.
Monkey A woke in the night and ate half of them; then Monkey B woke and ate one third of what remained;
then Monkey C woke and ate one quarter of the rest; finally Monkey D ate one fifth of the much diminished remaining pile.
What fraction of the original harvest was left in the morning?
4. Slightly Outnumbered
In Miss Quaffley's class, the girls make up more than 45% of the pupils, but less than 50%.
What is the smallest possible number of girls in her class?
5. How Shady?
The diagram below shows an equilateral triangle with some triangles shaded inside it.
Each shaded triangle is equilateral and touches the sides of the largest triangle and
of the shaded triangles next to it.
What fraction of the largest triangle is
shaded?
6 8 641 5 22
003
5 004 7 13
4 46 5 22 30. 9. 5.1. 3. 5.
0. 3. 0.+ + +
0 5 7
11
9 6 1.0 00
255 2 62 1
28
2 4 89 258. 5. 2.3. 2. 5.
4 7. 3.+ + +
5 8 7
1
1
1
5 102
2 91
1 20. 0.3. 1.
3. 0.+ +
7 0
1
© 2015 Math Plus Motion, LLC
®
Date:
Name:
Decimal Arithmetic • mathantics.com
Decimal AdditionInstructions: Add these decimals using the procedure you learned in the video. Don’t forget to line up the decimal points when adding.
5
8
2
6
9
3
4
7
1
DA 1
245 + 8.9
0.412 + 0.65
5.8 + 12.4
17.2 + 25.6
33.75 + 9.8
3.2 + 0.5
83.6 + 2.125
0.123 + 45.6
10.9 + 0.12
48
112.8.
5.+
2
1
4 5 81 4
651
22 508 0
8 7 9
84 255. 0. 3.4. 0. 1.
9. 0. 4.− − −
44 1 1
61
79
1 705
7 354
8
72 55.8.
2. 6.3. 8. 4.
0. 1.− − −
6 5
41
6 30 01
10. 1.7. 0.
8. 2.− −
4 7
7 11
1207 11
1
© 2015 Math Plus Motion, LLC
®
Date:
Name:
Decimal Arithmetic • mathantics.com
Decimal SubtractionInstructions: Subtract these decimals using the procedure you learned in the video. Don’t forget to line up the decimal points when subtracting and remember that order matters in subtraction.
5
8
2
6
9
3
4
7
1
DA 2
8.9 − 5.7
129.8 − 85.4
9.23 − 4.5
50.7 − 42.1
0.745 − 0.561
8.0 − 0.6
81.3 − 6.75
4.925 − 3.8
12 − 1.3
523
04.4.
9.−
73
81
4
4
8
1
3
61
8
1
1
46
5
5
47
2
5
1
56
3
2
2
21
2
3
2.
3.
1.
0.
0.
2.
3.9.
4.
0.
6
0.
0.
0.
×
×
×
+
+
+
+
+
++
+
×
×
××
×
0
6
6
5
4
58
3
0
0
0
0
0
00
0
0
6
6
5
4
58
3
8
1
9
2
68
262
2
52
9
0
2
2
5
8
02
9
8
3
1
7
4
24
1
1
812
2
4
9
1
6
2
46
573
6
6
722
0
9
1
2
3
18
6
1
32
1
0
7
88
8
0
00
2
1
1
1
1
11
1
1
1
1
4
21
23
111
1
.
.
.
.
.
..
.
© 2015 Math Plus Motion, LLC
®
Date:
Name:
Decimal Arithmetic • mathantics.com
Decimal MultiplicationInstructions: Multiply these decimals using the procedure you learned in the video. (Remember to pretend that you are working with whole numbers and then shift the decimal in your answer.)
5
8
2
6
9
3
4
7
1
DA 3
316 × 2.8
9.23 × 3.1
3.2 × 5.26 4.5 × 2.4
70.4 × 3.4
62 × 1.8 0.125 × 65
0.25 × 0.11
0.34 × 0.216
62
078
1115
25.
583
3.
6.
×
+202
11
1
5
3
7
0
5
6
5
8
7
47
6
3
4
40
6
5
6
5
0
0
0
0
3
8
01
11
11
5
3
8
22
0
5
5
3
7
2
4
22
6
2
8
850
4
-
-
--
-
-
-
--
-
-
-
-
3
7
04
7
5
3
370
2
4
21
8
.
.
..
.
.
.
..
.
.
...
© 2015 Math Plus Motion, LLC
®
Date:
Name:
Decimal Arithmetic • mathantics.com
Decimal DivisionInstructions: Divide these decimals using the procedure you learned in the video. Remember, you can shift the decimals in both the divisor and the dividend to make an equivalent division problem that does not have a decimal divisor.
3 4
2
5 6
1
DA 4
111
5
43
50
32
1
6 9-
-
-
1 53.. . 5
6
86
9
2 8
7
47
6
4 5
6
25
5 .
.
.
.
. 2
5
23
6
7 1.1
0.12
1.42.5
8
2.3
965800
7
6 582.3.
0.+
6
5.059
9 57.2.
2+
3
1233
2
603
54
4 30.3.
2.+
1
1
14200
0
426.0.
7.−
9
302
26.1.
8.−
7
7
6
1
11
1
476
5.2.
+
×808
60151
3311 44
1
1
.
4923
0.0.
+
×808
8286
21510.
52
16
20
32
5
3 9-
-
-
2 43 .. .
25
75
50
33
2
4 5-
-
-
7 59 .. .
© 2015 Math Plus Motion, LLC
®
Date:
Name:
Decimal Arithmetic • mathantics.com
Decimal Arithmetic - Mixed PracticeInstructions: Solve each problem using the procedures you learned in the video.
5
8
2
6
9
3
4
7
1
DA 5
925 + 7.5
0.758 + 62.9
42.5 + 0.63
7.042 − 6.1
28 − 6.3 0.32 × 0.49
2.67 × 5.4 2 12.40.13
8 75.40.5
These problems are adapted from UKMT (ukmt.org.uk) and WMC (competition.ac) problems.
nrich.maths.org/9325
© University of Cambridge
NRICH Short Problems
Fractions, Decimals and Percentages
Age 11+ Level !!!
Worksheet 1
1. Too Close to Call
From smallest to largest:
111110111111
333331333334
222221222223
nrich.maths.org/2451/solution
2. Tricky Fractions
𝑥 = 341 nrich.maths.org/12878/solution
3. Peanut Harvest !! of the original harvest was left
nrich.maths.org/12586/solution
4. Slightly Outnumbered
The smallest possible number of girls is 5 (in a class of 11 pupils) nrich.maths.org/6757/solution
5. How Shady?
!!"!!!
of the largest triangle is shaded
nrich.maths.org/13239/solution
WEEK 1: FRIDAY MATHEMATICS ACTIVITIES
Note: Work to your level.
You are not expected to complete ALL of the set maths activities.
Try to spend at least 45 minutes to an hour on mathematics each day
All answers are included so take the time to mark your work as you go to ensure you are on track.
Choose the Maths Online ones if you are looking for detailed explanations and easier activities.
MathsOnline - Maths Tuition For All Australian K-12 Students
Choose Mathantics if you just need lots of practice. Remember you can go to the website and watch
the videos that match the worksheets if you need extra support with these.
Math Antics | Basic Math Videos and Worksheets
Choose NRich if you are already super confident and need to extend to word problems.
NRICH - Mathematics Resources for Teachers, Parents and Students to Enrich Learning (maths.org)
© 2021 Math Plus Motion, LLC
®
Date:
Name:
Number Patterns • mathantics.com
NP 1Identifying SequencesInstructions: For each sequence below, check one box from each column that describes the correct property of the sequence.
3
2
4
7
5
8
9
6
10
1 { 7, 4, 2, 7, 4, 2, 7, 4, 2,... }
{ 10, 20, 30, 40, 50,... }
{ 17, 16, 15, 14, 13, 12 }
{ 1, 4, 9, 16, 25, 36,... }
{ 5, 10, 5, 10, 5, 10,... }
{ 80, 52, 30, 21, 15, 9 }
{ 7, 1, 0, 5, 7, 1, 0, 5 }
{ 2, 4, 6, 8 }
{ 5, 8, 11, 14, 17, 20,... }
{ 240, 120, 60, 30, 15,... }
Repeating
Repeating
Repeating
Repeating
Repeating
Repeating
Repeating
Repeating
Repeating
Repeating
Increasing
Increasing
Increasing
Increasing
Increasing
Increasing
Increasing
Increasing
Increasing
Increasing
Finite
Finite
Finite
Finite
Finite
Finite
Finite
Finite
Finite
Finite
Non-Repeating
Non-Repeating
Non-Repeating
Non-Repeating
Non-Repeating
Non-Repeating
Non-Repeating
Non-Repeating
Non-Repeating
Non-Repeating
Decreasing
Decreasing
Decreasing
Decreasing
Decreasing
Decreasing
Decreasing
Decreasing
Decreasing
Decreasing
Neither
Neither
Neither
Neither
Neither
Neither
Neither
Neither
Neither
Neither
Infinite
Infinite
Infinite
Infinite
Infinite
Infinite
Infinite
Infinite
Infinite
Infinite
© 2021 Math Plus Motion, LLC
®
Date:
Name:
Number Patterns • mathantics.com
NP 2Making Sequences Using Arithmetic RulesInstructions: Use the rules below to make number sequences. You only need to write the first five elements (or terms) but show that the sequence could continue on forever.
5 6
3 4
7 8
9
1 2
{ 10, 9, 8, 7, 6, ...} { 2, 9, 16, 23, 30, ...}
Rule: Subtract 1 (start with 10) Rule: Add 7 (start with 2)
Rule: Add 5 (start with 0) Rule: Add 6 (start with 4)
Rule: Subtract 3 (start with 50) Rule: Subtract 5 (start with 80)
Rule: Multiply by 2 (start with 2) Rule: Multiply by 3 (start with 1)
Rule: Add 4 (start with 10) Rule: Add 2 (start with 11)
Rule: Divide by 2 (start with 16) Rule: Divide by 2 (start with 80)
10
1211
© 2021 Math Plus Motion, LLC
®
Date:
Name:
Number Patterns • mathantics.com
NP 3Common Difference & Common RatioInstructions: These sequences are all based on addition or subtraction rules which means they have a Common Difference. Find that Common Difference by subtracting any two pairs of adjacent elements.
Instructions: These sequences are all based on multiplication or division rules which means they have a Common Ratio. Find that Common Ratio by dividing any two pairs of adjacent elements. Feel free to use a calculator to do the division and it’s best to always divide the bigger number by the smaller one.
3
3
4
2
4
2
5 6
1
1
{ 9, 12, 15, 18, 21, 24... }
{ 1, 5, 25, 125, 625, ... }
{ 20, 16, 12, 8, 4, 0 }
{ 405, 135, 45, 15, 5 }
{ 1, 8, 15, 22, 29, 36, 43, ... }
{ 3, 8, 13, 18, 23, 28, ... }
{ 3, 12, 48, 192, 768, ... }
{ 6, 12, 24, 48, 96, ... }
{ 43, 41, 39, 37, 35, 33, 31 } { 6, 16, 26, 36, 46, 56, ... }
24 - 21 = 3
25 ÷ 5 = 5
12 - 9 = 3
5 ÷ 1 = 5
Common Difference: 3
Common Ratio: 5
© 2021 Math Plus Motion, LLC
®
Date:
Name:
Number Patterns • mathantics.com
NP 4Finding an Arithmetic RuleInstructions: These sequences are all based on simple arithmetic rules. Identify the rule by checking for a Common Difference or a Common Ratio. (Hint: check for a Common Difference first since subtraction is a little easier than division. If you don’t find one, then check for a Common Ratio instead. Feel free to use a calculator for the division.)
3
5
7
4
6
8
1 2{ 23, 20, 17, 14, 11, 8,... } { 6, 30, 150, 750, 3750,... }
{ 0, 7, 14, 21, 28, 35,... }
{ 2, 6, 18, 54, 162, 486,... }
{ 32, 37, 42, 47, 52, 57,... }
{ 160, 80, 40, 20, 10, 5 }
{ 40, 34, 28, 22, 16, 10 }
{ 7, 14, 28, 56, 112, 224 }
11 - 8 = 3 150 ÷ 30 = 523 - 20 = 3 30 ÷ 6 = 5
Common Difference: 3 Common Ratio: 5Sequence is decreasing Sequence is increasing Rule: Subtract 3 Rule: Multiply by 5
© 2021 Math Plus Motion, LLC
®
Date:
Name:
Number Patterns • mathantics.com
NP 5Sequences with Missing ElementsInstructions: For each sequence below, fill in the missing elements. You may need to use either a pattern or a simple arithmetic rule to know what the missing elements are.
3
2
4
7
5
8
9
6
10
1 { 4, 1, 1, 4, 1, 1, 4, 1, __, 4, 1, 1, ___, 1, 1,... }
{ 10, 20, 30, 40, ___, 60, 70, 80, 90, ____, 110, 120,... }
{ 85, 84, 83, ____, ____, 80, 79, 78, 77, 76, 75,... }
{ 1, 2, 4, ___, 16, 32, ___, 128, 256, 1024,... }
{ 0, 1, 9, ___, 0, 1, 9, 10, 0, 1, 9, 10, 0, 1, ___, 10,... }
{ 10, ___, 14, 16, 18, 20, 22, ___, 26, 28, 30, 32, ... }
{ B, B, C, A, A, B, B, C, A, A, B, B, C, A, A, B, B, ___, ___ ,... }
{ 83, 80, 77, ___, 71, 68, 65, 62, 59, 56, 53, ___, 47,... }
{ A, ___, 3, B, 2, 7, A, 5, 3, ___, 2, 7, A, 5, 3, B, 2, 7,... }
{ ___, 70, 65, 60, 55, 50, 45, 40, 35, 30, 25, 20, ___ }
41
These problems are adapted from UKMT (ukmt.org.uk) and WMC (competition.ac) problems.
nrich.maths.org/9255
© University of Cambridge
NRICH Short Problems
Place Value, Integers, Ordering and Rounding
Age 11+ Level Worksheet 1
1. Missing 9s
Sara makes a list of the whole numbers in ascending order which do
not have 9s as any of their digits.
1 is the first number on Sara's list.
What is the 300th number on Sara's list?
2. Even Squares
In the diagram on the right, how many squares (of
any size) are there whose entries add up to an even
total?
3. Double with 1 to 9
Using each of the number cards 1 to 9 once and once only, find two
whole numbers, one of which is double the other.
Can you find more than one solution?
4. Tick Tock
Tick's watch runs 2 minutes per hour too slow.
Tock's watch runs 1 minute per hour too fast.
They set them to the same time at midday on Sunday.
The next time they met, one of the watches was one hour ahead of
the other.What was the earliest time this could have been?
5. Paying the Bill
Gill is 18 this year. She and I went to a restaurant for lunch to
celebrate her birthday.
The bill for lunch for the two of us came to £25.50.
Gill paid the bill by credit card and I left a £2.50 tip in cash.
We agreed to split the total cost equally.
How much did I owe Gill?
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
© 2021 Math Plus Motion, LLC
®
Date:
Name:
Number Patterns • mathantics.com
NP 1Identifying SequencesInstructions: For each sequence below, check one box from each column that describes the correct property of the sequence.
3
2
4
7
5
8
9
6
10
1 { 7, 4, 2, 7, 4, 2, 7, 4, 2,... }
{ 10, 20, 30, 40, 50,... }
{ 17, 16, 15, 14, 13, 12 }
{ 1, 4, 9, 16, 25, 36,... }
{ 5, 10, 5, 10, 5, 10,... }
{ 80, 52, 30, 21, 15, 9 }
{ 7, 1, 0, 5, 7, 1, 0, 5 }
{ 2, 4, 6, 8 }
{ 5, 8, 11, 14, 17, 20,... }
{ 240, 120, 60, 30, 15,... }
Repeating
Repeating
Repeating
Repeating
Repeating
Repeating
Repeating
Repeating
Repeating
Repeating
Increasing
Increasing
Increasing
Increasing
Increasing
Increasing
Increasing
Increasing
Increasing
Increasing
Finite
Finite
Finite
Finite
Finite
Finite
Finite
Finite
Finite
Finite
Non-Repeating
Non-Repeating
Non-Repeating
Non-Repeating
Non-Repeating
Non-Repeating
Non-Repeating
Non-Repeating
Non-Repeating
Non-Repeating
Decreasing
Decreasing
Decreasing
Decreasing
Decreasing
Decreasing
Decreasing
Decreasing
Decreasing
Decreasing
Neither
Neither
Neither
Neither
Neither
Neither
Neither
Neither
Neither
Neither
Infinite
Infinite
Infinite
Infinite
Infinite
Infinite
Infinite
Infinite
Infinite
Infinite
{ 0, 5, 10, 15, 20, ...} { 4, 10, 16, 22, 28, ...}
{ 50, 47, 44, 41, 38, ...} { 80, 75, 70, 65, 60, ...}
{ 2, 4, 8, 16, 32, ...} { 1, 3, 9, 27, 81, ...}
{ 10, 14, 18, 22, 26, ...} { 11, 13, 15, 17, 19, ...}
{ 16, 8, 4, 2, 1, ...} { 80, 40, 20, 10, 5, ...}
© 2021 Math Plus Motion, LLC
®
Date:
Name:
Number Patterns • mathantics.com
NP 2Making Sequences Using Arithmetic RulesInstructions: Use the rules below to make number sequences. You only need to write the first five elements (or terms) but show that the sequence could continue on forever.
5 6
3 4
7 8
9
1 2
{ 10, 9, 8, 7, 6, ...} { 2, 9, 16, 23, 30, ...}
Rule: Subtract 1 (start with 10) Rule: Add 7 (start with 2)
Rule: Add 5 (start with 0) Rule: Add 6 (start with 4)
Rule: Subtract 3 (start with 50) Rule: Subtract 5 (start with 80)
Rule: Multiply by 2 (start with 2) Rule: Multiply by 3 (start with 1)
Rule: Add 4 (start with 10) Rule: Add 2 (start with 11)
Rule: Divide by 2 (start with 16) Rule: Divide by 2 (start with 80)
10
1211
4 - 0 = 4
15 ÷ 5 = 3
15 - 8 = 7
28 - 23 = 5
48 ÷ 12 = 4
48 ÷ 24 = 2
35 - 33 = 2 56 - 46 = 10
20 - 16 = 4
135 ÷ 45 = 3
8 - 1 = 7
8 - 3 = 5
12 ÷ 3 = 4
12 ÷ 6 = 2
43 - 41 = 2 16 - 6 = 10
Common Difference: 4
Common Ratio: 3
Common Difference: 7
Common Difference: 5
Common Ratio: 4
Common Ratio: 2
Common Difference: 2 Common Difference: 10
© 2021 Math Plus Motion, LLC
®
Date:
Name:
Number Patterns • mathantics.com
NP 3Common Difference & Common RatioInstructions: These sequences are all based on addition or subtraction rules which means they have a Common Difference. Find that Common Difference by subtracting any two pairs of adjacent elements.
Instructions: These sequences are all based on multiplication or division rules which means they have a Common Ratio. Find that Common Ratio by dividing any two pairs of adjacent elements. Feel free to use a calculator to do the division and it’s best to always divide the bigger number by the smaller one.
3
3
4
2
4
2
5 6
1
1
{ 9, 12, 15, 18, 21, 24... }
{ 1, 5, 25, 125, 625, ... }
{ 20, 16, 12, 8, 4, 0 }
{ 405, 135, 45, 15, 5 }
{ 1, 8, 15, 22, 29, 36, 43, ... }
{ 3, 8, 13, 18, 23, 28, ... }
{ 3, 12, 48, 192, 768, ... }
{ 6, 12, 24, 48, 96, ... }
{ 43, 41, 39, 37, 35, 33, 31 } { 6, 16, 26, 36, 46, 56, ... }
24 - 21 = 3
25 ÷ 5 = 5
12 - 9 = 3
5 ÷ 1 = 5
Common Difference: 3
Common Ratio: 5
28 - 21 = 7
16 - 10 = 6
28 ÷ 14 = 2
10 ÷ 5 = 2
18 ÷ 6 = 3
57 - 52 = 5
7 - 0 = 7
40 - 34 = 6
14 ÷ 7 = 2
80 ÷ 40 = 2
6 ÷ 2 = 3
37 - 32 = 5
Common Difference: 7
Common Difference: 6
Common Ratio: 2
Common Ratio: 2
Common Ratio: 3
Common Difference: 5
Sequence is increasing
Sequence is decreasing
Sequence is increasing
Sequence is decreasing
Sequence is increasing
Sequence is increasing
Rule: Add 7
Rule: Subtract 6
Rule: Multiply by 2
Rule: Divide by 2
Rule: Multiply by 3
Rule: Add 5
© 2021 Math Plus Motion, LLC
®
Date:
Name:
Number Patterns • mathantics.com
NP 4Finding an Arithmetic RuleInstructions: These sequences are all based on simple arithmetic rules. Identify the rule by checking for a Common Difference or a Common Ratio. (Hint: check for a Common Difference first since subtraction is a little easier than division. If you don’t find one, then check for a Common Ratio instead. Feel free to use a calculator for the division.)
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5
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1 2{ 23, 20, 17, 14, 11, 8,... } { 6, 30, 150, 750, 3750,... }
{ 0, 7, 14, 21, 28, 35,... }
{ 2, 6, 18, 54, 162, 486,... }
{ 32, 37, 42, 47, 52, 57,... }
{ 160, 80, 40, 20, 10, 5 }
{ 40, 34, 28, 22, 16, 10 }
{ 7, 14, 28, 56, 112, 224 }
11 - 8 = 3 150 ÷ 30 = 523 - 20 = 3 30 ÷ 6 = 5
Common Difference: 3 Common Ratio: 5Sequence is decreasing Sequence is increasing Rule: Subtract 3 Rule: Multiply by 5
50
10
12 24
5074
5
75 15
B
9
C A
82
8 64
81
100
© 2021 Math Plus Motion, LLC
®
Date:
Name:
Number Patterns • mathantics.com
NP 5Sequences with Missing ElementsInstructions: For each sequence below, fill in the missing elements. You may need to use either a pattern or a simple arithmetic rule to know what the missing elements are.
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1 { 4, 1, 1, 4, 1, 1, 4, 1, __, 4, 1, 1, ___, 1, 1,... }
{ 10, 20, 30, 40, ___, 60, 70, 80, 90, ____, 110, 120,... }
{ 85, 84, 83, ____, ____, 80, 79, 78, 77, 76, 75,... }
{ 1, 2, 4, ___, 16, 32, ___, 128, 256, 1024,... }
{ 0, 1, 9, ___, 0, 1, 9, 10, 0, 1, 9, 10, 0, 1, ___, 10,... }
{ 10, ___, 14, 16, 18, 20, 22, ___, 26, 28, 30, 32, ... }
{ B, B, C, A, A, B, B, C, A, A, B, B, C, A, A, B, B, ___, ___ ,... }
{ 83, 80, 77, ___, 71, 68, 65, 62, 59, 56, 53, ___, 47,... }
{ A, ___, 3, B, 2, 7, A, 5, 3, ___, 2, 7, A, 5, 3, B, 2, 7,... }
{ ___, 70, 65, 60, 55, 50, 45, 40, 35, 30, 25, 20, ___ }
41
These problems are adapted from UKMT (ukmt.org.uk) and WMC (competition.ac) problems.
nrich.maths.org/9255
© University of Cambridge
NRICH Short Problems
Place Value, Integers, Ordering and Rounding
Age 11+ Level !! Worksheet 1 - Solutions
1. Missing 9s
The 300th number will be 363
nrich.maths.org/12793/solution
2. Even Squares
36 squares
nrich.maths.org/5772/solution
3. Double with 1 to 9
There are twelve possible pairs of numbers:
6729 and 13458
6792 and 13584
6927 and 13854
7269 and 14538
7293 and 14586
7329 and 14658
7692 and 15384
7923 and 15846
7932 and 15864
9267 and 18534
9273 and 18546
9327 and 18654
nrich.maths.org/7182/solution
4. Tick Tock
8am on Monday
nrich.maths.org/4742/solution
5. Paying the Bill
I owe Gill £11.50
nrich.maths.org/5697/solution