Mathematics S1 Homework
Block 1
Number
Sequences, Multiples & Factors
Symmetry
Decimals

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Homework should be done in your homework jotter and handed in on time.
Homework should be signed by a parent or guardian.
Homework should be done to the best of your ability. You should approach your teacher
with problems before the homework is due.
Make sure that your homework is neat, tidy and legible and all relevant working is shown.
Homework is a great way to consolidate your classwork at home and makes sure that you are
secure in all of your learning and retain all knowledge you have been taught. Always attempt your
homework to the best of your ability.
The Significant Aspects of Learning in numeracy and mathematics are:
• Using knowledge and understanding of the number system, patterns and relationships
• Using knowledge and understanding of measurement and its application
• Using knowledge and understanding of shape and space
• Researching and evaluating data to assess risks and make informed choices
• Applying numeracy and mathematical skills.
Topic 1 : Number
NO CALCULATORS!
Exercise 1 Place Value
1.
Write in words:
(a) 9007
(b) 30 412
(c) 140 050
(d) 2 500 000
2.
Write the number that is:
(a) 200 more than 23 567
(b) 30 more than 789
(c) 700 less than 7 896
(d) 50 less than 990
Exercise 2 Rounding numbers
1.
Round the following numbers to the nearest ten: (a) £56 (b) 124 m (c) 235 V (d) 1 872 KW
2.
Round the following numbers to the nearest 100: (a) $325 (b) 3 245mm (c) 198·6m²
3.
Round the following numbers to the nearest 1000 (a) 3 200 amp (b) 1 651 Kj (c) 34 264 s
4.
The attendances at the matches were 5 230, 8 970, 12 350, 22 460, 17 340, 32 560
(a) Round these numbers to the nearest 1000
(b) What is the total of the 'rounded' numbers?
5.
Last weeks’ big winner in the Lottery won £12 345 654.
Round this number to the nearest hundred thousand.
Exercise 3 Estimation - Add & Subtract
1.
By rounding each number to the nearest ten give approximate answers to:
(a) 32 + 71
2.
(b) 29 + 236
(c) 569 - 118
By rounding each number to the nearest hundred give approximate answers to:
(a) 345 + 192
(b) 1230 - 470
(c) 11 352 - 3 409
Exercise 4 Mental strategies for addition
1.
Ask an adult to ask you these mental questions (do the sum in your head and write down
the answer).
(a) 45 + 34
(b) 37 + 55
(c) 67 + 28
(e) 28 + 59
(f) 132 + 43
(g) 36 + 45 + 37
(d) 46 + 66
Exercise 5 Mental strategies for subtraction
1.
Ask an adult to ask you these mental questions (do the sum in your head and write down
the answer).
(a) 37 ─ 13
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(b) 58 ─ 35
(c) 64 ─ 28
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(d) 72 ─ 46
S1 Homework
Exercise 6 Adding and subtracting
1.
Copy and complete these addition sums:
(a)
245
(b)
+ 632
2.
(c)
+ 223
618
(d)
+ 745
1972
+ 2431
Copy and complete these subtraction sums:
(a)
697
(b)
─ 451
3.
794
NO CALCULATORS!
538
(c)
─ 252
742
(d)
─ 316
3902
─ 1838
The weights of 2 boxes of strawberries are shown:
Box 1
Box 2
539 grams
372 grams
(a) What is the total weight of the 2 boxes of strawberries?
(b) Work out the difference in weight for the 2 boxes.
Exercise 7 Revision of simple × and ÷
1.
2.
Find mentally:
(a) 3 × 6
(b) 9 × 4
(c) 8 × 5
(d) 6 × 7
(e) 8 × 9
(f) 24 ÷ 4
(g) 40 ÷ 5
(h) 36 ÷ 6
(i) 56 ÷ 8
(j) 88 ÷ 11
Emma buys 4 CDs costing £7 each. What is the total cost of the CDs?
Exercise 8 Multiplying and Dividing
1.
Copy and complete these sums:
(a)
68
× 3
(e) 3 96
2.
(b)
74
× 5
(c)
(f) 4 132
465
× 7
(g) 5 785
(d)
623
× 8
(h) 8 896
7 rooms are being refurnished. Each room gets 8 tables and each table gets 4 chairs.
What is the total number of: (a) tables?
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(b) chairs?
S1 Homework
Exercise 9 × by multiple of 10 or 100
NO CALCULATORS!
1.
(a) 7 × 10
(b) 36 × 100
(c) 3150 × 10
(d) 6 521 × 100
2.
(a) 43 × 20
(b) 31 × 40
(c) 17 × 300
(d) 35 × 600
3.
Dean saves £30 each week for his holiday. How much will he have saved after 18 weeks?
Exercise 10 ÷ by multiple of 10 or 100
1.
a) 40 ÷ 10
(b) 7 000 ÷ 100
(c) 15 400 ÷ 10
2.
(a) 360 ÷ 20
(b) 350 ÷ 70
(c)
3.
Vincent's job involves laying cats eyes. He lays 5 600 on the 40 miles of road between
Glasgow and Edinburgh. How many cats eyes does he lay in each mile?
3200
40
(d) 137 200 ÷ 100
(d)
1470
70
Exercise 11 Multiplying by 2 digits
1.
Copy and complete these sums:
(a)
2.
28
× 13
(b)
64
× 15
(c)
87
× 16
(d)
329
× 18
To buy a fridge freezer Felicity pays a company £16 per month for 2 years.
How much does it cost her altogether?
3.
Rodger the Dodger receives £12 per week pocket money from his very generous father.
How much does he receive each year?
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S1 Homework
Number : Formal Homework Exercise 1
1.
NO CALCULATORS!
Write the following numbers in words:
(a) 389
(b) 7 030
(c) 130 240
(d) 4 010 005
2.
Write these numbers in order, starting with the smallest:
3.
Round to the nearest ten:
(a) 467
(b) 824
(c) 978
(d) 5535
4.
Round to the nearest hundred: (a) 328
(b) 671
(c) 2849
(d) 44 170
5.
Copy and complete these sums:
(a)
387
(b)
+ 242
6.
(c)
+ 243
629
(d)
─ 375
4273
─ 2421
Find mentally:
(a) 2 × 8
7.
718
6865, 6809, 6980, 6756, 6870
(b) 9 × 3
(c) 8 × 6
(d) 21 ÷ 7
(e) 28 ÷ 4
(f) 56 ÷ 7
Copy and complete these sums:
(a)
42
× 3
(b)
53
× 5
(c)
382
× 4
(d)
759
× 8
(e) 2 90
(f) 4 148
(g) 5 605
(h) 7 896
8.
(a) 54 × 10
(b) 70 × 100
(c) 5230 ÷ 10
(d) 8 400 ÷ 100
9.
(a) 24 × 20
(b) 53 × 40
(c) 210 ÷ 30
(d) 4500 ÷ 50
10.
In one year a company spent £56 612 on research.
The following year they spent £38 243.
Work out the difference in the amounts spent.
11.
Amina pays £208 tax every month. How much will she have paid after 12 months?
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S1 Homework
Topic 2 : Sequences, Multiples and Factors
NO CALCULATORS!
Exercise 1 Sequences
1.
(a) Copy this sequence into your jotter
7, 11, 15,...
(b) Write in the next two numbers.
(c) Write down the rule that you used to find them.
2.
Find the next three numbers in:
60, 57, 54, 51 ...
3.
Find the next three numbers in:
2, 4, 8, 16, ...
4.
Find the next three numbers in:
1, 3, 6, 10, 15, 21,...
5.
Find the next three numbers in:
1, 4, 9, 16, 25,...
6.
Find the next three numbers in:
1, 1, 2, 3, 5, 8, 13,...
7.
I weigh 124kg this week. If I lose 3kg every week, what will I weigh after four weeks?
Exercise 2 Indices
1.
Copy and complete:
(a) 5 squared = 52 = 5 × 5 = ….
(b) 2 cubed = 23 = 2 × 2 × 2 = ….
2.
What is:
(a) 12
(b) 82
(c) 43
(d) 102
(e) 122
(f) 24
Exercise 3 Multiples and factors
1.
Write down the first ten multiples of 6.
2.
Which of these numbers are multiples of 7?
3.
Write down all the multiples of 8 between 30 and 60.
4.
What is the lowest common multiple (lcm) of 6 and 8?
5.
Write down all the factors of ;
6.
Is 8 a factor of 72? Justify your answer.
7.
Find a number that is a factor of both 32 and 52.
8.
(a) List all the factors of
(a) 8
27, 28, 29 and 30
(b) 15
(c) 20
(i) 16 and (ii) 24
(b) What is the highest common factor (hcf) of 16 and 24?
9.
Find the highest common factor of 8 and 12
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S1 Homework
Exercise 4 Prime numbers
1.
What is a prime number? Explain!
2.
Explain why 23 is a prime number.
3.
Write down the prime numbers between 30 and 50.
4.
Work out the prime factors of:
(a) 8
(b) 16
(c) 20
(d) 34
Exercise 5 Number puzzles
1.
Find three consecutive numbers which add to 27 and multiply to 720.
2.
My age is a two digit number.
The tens digit is four more than the units digit.
The sum of the digits is 6. What is my age?
3.
Which of these numbers can be divided by 3?
123, 124, 125 and 126
4.
Copy and complete these magic squares.
(a)
(b)
(c)
2 9 4
8 3 10
10 8
7
7
11
7
6
5.
Copy and complete this addition sum.
6.
3
+
4
7
1
2
2
How many times does the number 4 appear in all the numbers from 1 to 95?
Exercise 6 Mental strategies for × and ÷
1.
Get someone to ask you the following mental questions and write down your answers:
(a) 3 × 8
(b) 9 × 6
(c) 5 × 4
(d) 7 × 8
(e) 42 ÷ 6
(f) 48 ÷ 8
2.
Find mentally: (a) 21 × 3
(f) 96 ÷ 8
(g) 240 ÷ 12
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(b) 12 × 5
(h) 550 ÷11
(c) 33 × 5
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(d) 168 ÷ 4
(e) 440 ÷ 8
S1 Homework
Multiples, Factors and Primes : Formal Homework Exercise 2
Section A (Numeracy)
1.
Copy and complete these sums:
(a)
2.
NO CALCULATORS!
378
+ 253
(b)
613
─ 475
(c)
29
× 3
(d)
614
× 7
(e) 2 72
(f) 4 156
(g) 6 624
(h) 8 392
(a) 73 × 10
(b) 90 × 100
(c) 6190 ÷ 10
(d) 40 700 ÷ 100
(e) 60 × 20
(f) 80 × 300
(g) 280 ÷ 40
(h) 12 000 ÷ 600
Section B (Topic)
3.
Write (a) the next two numbers in each sequence and (b) a rule to find the next number.
(i)
4.
12, 15, 18, 21... (ii)
800, 400, 200 …
What is:
(a) 62
5.
100, 93, 86, 79... (iii)
(b) 112
(c) 53
Write the first five multiples of the following numbers:
(a)
2
(b)
3
(c)
9
6.
Find the lowest common multiple of the following numbers:
(a)
2 and 3
(b)
3 and 7
(c)
2, 4 and 6
7.
Baby frog croaks every 3 seconds,
Mummy frog croaks every 6 seconds
Daddy frog croaks every 9 seconds.
How many seconds pass between them all croaking together?
8.
List all the factors of the following numbers:
(a)
8
(b)
25
(c)
Find the highest common factor of the following numbers:
(a)
8 and 36
(b)
18 and 27
10.
List the first five Prime numbers.
11.
Is 39 a prime number? Justify your answer.
12.
Find the prime factors of each of the following numbers:
(a)
45
(b)
72
(c)
81
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12
36
9.
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(d)
S1 Homework
Topic 3 : Symmetry
Exercise 1 Lines of symmetry
1.
Name two shapes that have lines of symmetry.
2.
Which of these have only one axis of symmetry?
A
3.
B
C
D
Copy these shapes. Draw all lines of symmetry. USE A RULER!
Exercise 2 Reflection
1.
Copy and complete these shapes using reflection
2.
Create a drawing that shows reflection.
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S1 Homework
Exercise 3 Images
1.
Copy and complete these diagrams using reflection – so that the dotted line is a line of
symmetry.
Exercise 4 Rotational Symmetry
1.
Which of the following shapes have half-turn symmetry?
2.
State the order of rotational symmetry these shapes have:
(a)
3.
(b)
(c)
Make a copy of the shapes shown and make a new shape by rotating it 180ᵒ:
(a)
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(b)
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S1 Homework
Symmetry : Formal Homework Exercise 3
Section A (Numeracy)
1.
2.
NO CALCULATORS!
Copy and complete these sums:
(a)
674
(b)
520
+ 358
─ 384
(c)
(e) 3 81
(f) 5 385
(g) 7 434
(h) 9 567
(a) 84 × 100
(b) 90 000 ÷ 100
(c) 50 × 80
(d) 70 × 400
47
× 4
Section B (Topic)
3.
Copy each shape and draw any lines of symmetry.
(a)
(b)
4.
5.
Copy and complete the shapes for each axis of symmetry.
(a)
(b)
(d)
731
× 8
(c)
(c)
Copy these shapes and make a half turn around the dot.
(a)
(b)
Section C (Revision)
6.
List the first ten multiples of 7.
7.
List the factors of 18.
8.
Explain why 43 is a prime number.
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S1 Homework
Topic 4 : Decimals
Exercise 1 Place Value
NO CALCULATORS!
1. State the place vale of the digit 4 in each of these numbers:
(a) 24
(b) 0·49
(c) 5412·3
(d) 17·04
(e) 41 219
Exercise 2 Rounding to nearest whole number
1.
Write down the number which each arrow is pointing to.
a
b
c
d
5
6
e
f
7
8
2.
Round your answers from question 1 to the nearest whole number.
3.
Round to the nearest whole number:
(a) 6·4
(b) 2·5
(c) 109·2
(d) 0·9
(e) 34·6
(f) 69·8
(c) 10·99
(d) 0·45
(e) 129·671 (f) 7·809
(c) 0·9752
(d) 80·453
(e) 517·238 (f) 4·795
Exercise 3 Rounding to decimal places
1.
Round to 1 decimal place:
(a) 6·29
2.
(b) 21·634
Round to 2 decimal places:
(a) 5·738
(b) 39·641
Exercise 4 Adding and subtracting
1.
Copy and complete these sums:
(a)
2.
39·6
+ 25·1
(b)
7·38
+ 6·45
(c)
92·7
─ 38·4
(d)
61·71
─ 25·23
Show sums to work out:
(a) 45·21 + 13·4
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(b) 51·2 - 21·3
(c) 53 + 56·79
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(d) 11·1 – 9·01
S1 Homework
3. Find the total edge length
6·1 m
2·1 m
(perimeter) of this
shape.
2·9 m
4m
2·9 m
4·8 m
4. Here are the running times for the 200m sprint
John : 26·32 seconds
(a) Who won?
Paula : 21·6 seconds
Sam : 24·88 seconds
(b) What is the difference between the fastest and the
slowest time?
Exercise 5 Multiplying and dividing
1.
(a)
3·2
× 3
(e) 2 9·4
2.
NO CALCULATORS!
Copy and complete these sums:
(b)
7·2
× 5
(c)
(f) 4 16·8
1·35
× 4
(g) 5 72·5
(d)
68·1
× 7
(h) 6 8·94
A pencil costs £0·27.
(a) Find the cost of 7 pencils.
(b) How much change do I get from £4·50?
3.
A carton of orange juice holds 2·8 litres.
If I pour five 0·45 litre glasses, how many litres are left?
4.
6 shirts cost £56·70.
(a) How much does 1 cost?
(b) How much would 5 cost?
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S1 Homework
Exercise 6 Multiplying by 10 and 100
NO CALCULATORS!
1.
(a) 0·6 × 10
(b) 1·19 × 10
(c) 6·2 × 10
(d) 41·52 × 10
2.
(a) 64·02 × 100
(b) 53 × 100
(c) 10·05 × 100
(d) 123·4 × 100
3.
If a fish supper costs £6·75, how much will 10 cost?
4.
A small box weighs 0·062kg. If 100 small boxes are put into a large box what will the
weight of the large box be?
Exercise 7 Dividing by 10 and 100
1.
(a) 15·3 ÷ 10
(b) 120·6 ÷ 10
(c) 0·2 ÷ 10
(d) 5·9 ÷ 10
2.
(a) 25 ÷ 100
(b) 70 ÷ 100
(c) 0·04 ÷ 100
(d) 3·67 ÷ 100
3.
If 10 people weigh 1270 pounds altogether, what is each person’s average weight?
4.
100 pencils cost £34. How much does 1 pencil cost?
Exercise 8 Multiples of 10 and 100
1.
(a) 0·8 × 20
(b) 31·02 × 300
(c) 0·88 ÷ 800
(d) 6·31 × 80
(e) 26·1 ÷ 30
(f) 104·1 × 50
(g) 96 ÷ 300
(h) 9·06 ÷ 60
2.
A box weighs 0·75 kg. What would 700 boxes weigh?
3.
60 apples cost £13·20. What would 1 apple cost?
Exercise 9 Mixed Problems Use a calculator for this exercise.
1.
I bought 4·5 metres of curtain material at £18·20 per metre.
How much did the material cost altogether?
2.
£7000 is shared among 9 people. How much should each get (to the nearest penny)?
3.
Adam earns £8·95 per hour as an apprentice plumber.
How much does he earn for working a 9 hour shift?
4.
It costs £12 750 for a new fiesta and £18 040 for a new golf.
Work out the difference in the prices of the new cars.
5.
Sue worked out she spends £516 per year on haircuts. She gets her hair cut once a
month. How much is each haircut?
6.
John gets paid £321·30 for working 42 hours. How much does he get paid per hour?
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S1 Homework
Decimals : Formal Homework Exercise 4
Section A (Numeracy)
1.
Copy and complete these sums:
(a)
2.
NO CALCULATORS!
8·6
+ 5·2
(b)
5·48
+ 3·13
(c)
81·6
─ 27·3
(d)
92·81
─ 24·54
Copy and complete these sums:
(a)
6·2
× 3
(b)
4·57
× 6
(c)
4 26·8
(d)
7 88·2
Section B (Topic)
3.
Round to 1 decimal place:
(a) 5·37
4.
(b) 64·819
(c) 2·96
(d) 118·45
Round to 2 decimal places:
(a) 16·839
(b) 40·742
(c) 0·8683
(d) 37·9518
5.
(a) 18·6 ÷ 10
(b) 32·96 ÷ 10
(c) 0·08 ÷ 100
(d) 12·4 ÷ 100
6.
(a) 0·8 × 20
(b) 3·12 × 300
(c) 0·44 ÷ 400
(d) 60·6 ÷ 60
7.
The width of a car park space is 6·12 metres.
Calculate the width of:
8.
(a) 10 spaces
(b) 100 spaces.
Screws cost 0·7p. A company orders 3000 screws.
How much will this cost?
9.
A grain of sand weighs 0·6 milligrams.
How much would 400 grains weigh?
Section C (Revision)
10.
List the first ten multiples of 8.
11.
Write down the factors of 28.
12.
Copy and complete this shape so
that the dotted line is an axis of symmetry.
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S1 Homework