Download 10TICKS 627 Maths - Cottenham Village College

10TICKS 627 Maths
Hi Everyone,
To be good at Mathematics, like playing a musical instrument, you need to practise.
You have worked hard at school towards your KS2 SATs, but now we want you to
keep those skills at this level over the summer holidays.
So here are some short pieces of work for you to do over the 6 weeks.
There are 7 pieces at each Level – so one a week and one for luck - and you can
choose the appropriate Level for you. Of course there is nothing stopping you from
trying the next Level up as well!
If you have been working towards Level 6 there are 5 investigations for you to try.
Please do some of the Level 5 work as well in the remaining week.
This work was put together by Myton School and 10ticks, the maths specialists.
10ticks has been working with schools since 2000 and is used by more than 2 million
children worldwide. This work has been given free of charge to aid transition from
Primary to Secondary. See the 10ticks special offer for you at the end of the pack.
Have a lovely holiday and we look forward to meeting you in September.
Maths Department, Cottenham Village College
This is licensed for use by the school named in the footer to pass to Year 6 students attending one of its’
contributory (feeder) schools only. No other use allowed. This pack must not be changed/altered in any way.
Any alterations are considered a breach of the terms of use.
Copyright in Worksheets. ©Fisher Educational Ltd. 2013.
Copyright in the worksheets belongs to Fisher Educational Ltd. ‘10TICKS’, and ‘10TICKS.co.uk’ and/or other 10TICKS services referenced on
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10TICKS 627 Maths. Level 2
Number Pyramids
To find the next number, add the two bricks below it.
Fill in the missing numbers.
9
3
4
2
1
2
2
2
1
1
3
2
2
3
2
4
1
3
2
2
4
4
4
1
2
2
5
3
9
2
4
10
5
10
8
2
7
1
2
13
7
3
2
3
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1
1
1
3
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10TICKS 627 Maths. Level 2
All Equal
Finish each of the equals questions.
Examples
4 + 3
=
5
2 +
8 – 6
=
10 –14 – 4 =
3 + 3
=
1 + 16 – 8 =
– 10
4 + 5
=
2 +
9 + 6
=
+ 10
6 + 2
=
4 +
4 + 8
=
+ 10
9 + 3
=
+ 7
20 – 8 =
– 10
2 + 8
=
+ 5
17 + 3 =
11 +
10 + 7 =
+ 10
18 – 7 =
22 –
8 – 4
=
– 3
13 + 4 =
8 +
9 – 2
=
– 4
2 + 12 =
+ 11
12 –15 – 8 =
– 10
10 – 1 =
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7 – 2
=
8 –
3
20 –
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10TICKS 627 Maths. Level 2
Rounding to the Nearest 10
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
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
Use the one hundred square to help.
23 to the nearest 10 is
47 to the nearest 10 is
38 to the nearest 10 is
61 to the nearest 10 is
75 to the nearest 10 is
15 to the nearest 10 is
9 to the nearest 10 is
96 to the nearest 10 is
25 to the nearest 10 is
14 to the nearest 10 is
92 to the nearest 10 is
67 to the nearest 10 is
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10TICKS 627 Maths. Level 2
Counting On on a Number Line
Complete the questions.
Find 31 - 16.
31 - 16 = ___.
Find 44 - 28.
44 - 28 =___.
Find 62 - 35.
62 - 35 = ___.
Find 62 - 29.
62 - 29 = ___.
Find 82 - 24.
82 - 24 = ___.
Find 78 - 34.
78 - 34 = ___.
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10TICKS 627 Maths. Level 2
Months
30 days has September,
April, June. and November.
All the rest have 31,
except for February alone,
which has 28,
or 29 on each Leap Year.
Put these 12 months in order, starting with the earliest.
Write how many days there are in each month.
March
August
Septemb
er
June
ry
ua
ebr
F
May
January
December
November
July
April
r
Octobe
1.
days 7.
days
2.
days 8.
days
3.
days 9.
days
4.
days 10.
days
5.
days 11.
days
6.
days 12.
days
Which month has the least number of days?
How many days are there altogether in April and June?
How many days are there altogether in September and
August?
How many extra days are there in a Leap Year?
In which month do we have the extra day?
How many months are there in a year?
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10TICKS 627 Maths. Level 2
Some Products
The top number is the product (times) of the middle two numbers.
The bottom number is the sum (add) of the middle two numbers.
Fill in the missing numbers.
Times
6
2
3
4
2
3
2
3
4
5
Add
Times
5
5
6
Add
Times
8
12
3
2
4
5
3
4
10
Add
Times
20
10
Add
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13
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10TICKS 627 Maths. Level 2
Halves and Quarters
Count the objects. Find a half and a quarter.
1
2
1
2
=
=
1
4
=
1
2
=
1
4
=
1
2
=
1
2
=
1
4
=
1
4
=
1
2
=
1
4
=
1
2
of 4 =
1
4
of 4 =
1
2
of 10 =
1
2
of 14 =
1
2
of 20 =
1
4
of 16 =
1
4
of 12 =
1
2
of 18 =
1
4
of 20 =
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10TICKS 627 Maths. Level 3
Addition and Subtraction
1).
9 0 5
7 3 +
2).
8 1 6
6 2 +
3).
4 4 3
4 5 +
4).
3 6 2
2 7 +
5).
7 2 5
7 2 +
6).
4 6 2
1 9 +
7).
2 1 7
3 5 +
8).
1 7 7
1 9 +
9).
3 0 7
4 8 +
10).
5 2 4
6 6 +
11).
5 1 9
6 3 +
12). 4 2 3
6 8 +
13). 7 3 7
4 5 +
14). 8 4 6
2 8 +
15).
6 2 4
4 9 +
16).
1 2 8
5 4 +
17). 7 4 2
3 8 +
18). 5 6 3
2 9 +
19). 9 4 5
3 9 +
20).
8 0 5
8 8 +
21).
2 4 3
7 2 +
22). 4 6 2
8 3 +
23). 5 2 0
8 4 +
24). 1 3 5
8 4 +
25).
1 4 6
7 3 +
26).
8 6
3 2 -
27).
7 7
2 5 -
28).
5 9
3 6 -
29).
7 8
4 7 -
30).
8 6
1 2 -
31).
9 5
2 3 -
32).
8 7
3 2 -
33).
9 8
4 7 -
34).
8 8
5 1 -
35).
9 9
6 5 -
36).
2 4
1 9 -
37).
3 5
2 8 -
38).
2 6
1 8 -
39).
4 3
3 5 -
40).
3 1
2 4 -
41).
5 2
4 5 -
42).
6 0
5 2 -
43).
7 3
6 7 -
44).
8 4
7 5 -
45).
9 1
8 4 -
46).
3 3
1 6 -
47).
4 2
2 7 -
48).
5 5
3 8 -
49).
4 1
2 5 -
50).
6 7
4 9 -
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10TICKS 627 Maths. Level 3
Reflect each of the following shapes in the dotted lines shown.
1).
2) .
3) .
4) .
5 ).
6).
7).
8 ).
9).
10).
11).
12).
13).
14).
15).
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10TICKS 627 Maths. Level 3
Some Products!!
The middle two numbers are used to work out the top and bottom numbers.
The top number is the product (times) of the numbers.
The bottom number is the total (add) of the numbers.
Fill in the missing numbers.
1).
2).
3).
4).
Times
1
Add
4
5).
7
3
6).
7
5
7).
2
3
3
3
8).
Times
9
2
10
6
9
3
Add
9).
10).
11).
12).
Times
Add
4
10
Times
14).
Add
3
8
15).
16).
16
10
4
6
10
11
17).
Times
2
2
6
13).
Add
7
5
15
18).
19).
20).
18
70
3
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4
11
7
8
13
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10TICKS 627 Maths. Level 3
Multiplication Grids
Fill in all the spaces in these multiplication grids.
1).
2).
X
2
6
4
7
X
3
5
2
4
3
4
10
6
5
6
5
30
3
2
2
4
8
3).
4).
X
3
7
2
4
X
5
5
2
6
10
3
3
2
5).
3
10
6).
X
5
4
2
5
4
X
4
40
5
7
3
2
10
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7
15
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10TICKS 627 Maths. Level 3
Fractions
State for each of the following groups of items
a).
the fraction ringed b).
the fraction not ringed.
The first one has been done for you.
1).
2).
3).
/8 ringed
(a) _______
ringed
(a) _______
ringed
/8 not ringed
(b) _______
not ringed
(b) _______
not ringed
(a)
3
(b)
5
4).
5).
6).
(a)
_______ ringed
(a) _______
ringed
(a) _______
ringed
(b)
_______ not ringed
(b) _______
not ringed
(b) _______
not ringed
7).
8).
9).
(a)
_______ ringed
(a) _______
ringed
(a) _______
ringed
(b)
_______ not ringed
(b) _______
not ringed
(b) _______
not ringed
10).
11).
12).
(a)
_______ ringed
(a) _______
ringed
(a) _______
ringed
(b)
_______ not ringed
(b) _______
not ringed
(b) _______
not ringed
13).
14).
15).
(a)
_______ ringed
(a) _______
ringed
(a) _______
ringed
(b)
_______ not ringed
(b) _______
not ringed
(b) _______
not ringed
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10TICKS 627 Maths. Level 3
Cards (Addition)
5
6
11
Here are 4 ‘add and take away’ questions that can be made from these 3 cards.
5
+
6
=
11
11
-
6
=
5
6
+
5
=
11
11
-
5
=
6
Put the 4 cards in the boxes so each addition is correct.
For each question find 4 different ways!
1).
4
2
2
1
+
= 36
2).
5
1
3
4
+
= 49
3).
2
5
2
3
+
= 57
4).
2
4
5
3
+
= 68
5).
8
2
1
6
+
= 44
Put the 4 cards in the boxes so each subtraction is correct.
6).
2
9
1
3
-
=
4
7).
8
4
2
3
-
=
6
8).
3
4
2
1
-
=
9
9).
1
7
2
2
-
= 15
10).
7
5
2
3
-
= 12
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10TICKS 627 Maths. Level 3
Centimetres (cm)
Use a ruler to measure the lines and give your answers in centimetres.
1).
2).
3).
5).
4).
6).
7).
8).
9).
10).
13).
11).
12).
14).
15).
16).
17).
18).
19).
20).
21).
22).
24).
23).
25).
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10TICKS 627 Maths. Level 4
Rectangles
this way
Rectangle Perimeters
The following diagrams are not drawn to size. Find the perimeter of each rectangle.
5 cm
7 cm
5 cm
1).
5 cm
7 cm
4).
10 cm
2).
10 cm
3).
9 cm
4 cm
11 cm
6 cm
4 cm
9 cm
5 cm
7mm
9 km
6 cm
11 cm
5).
6 km
6).
12 mm
20 m
13 m
7).
8 cm
7m
8).
9).
12 m
8 cm
15 km
17 mm
18 mm
10).
11).
18 mm
26 mm
12).
10 km
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10TICKS 627 Maths. Level 4
Angles (Amounts of Turn)
Copy the following angles. Write the word that best describes each, from the list below.
ACUTE
1).
2).
OBTUSE
3).
REFLEX
4).
5).
6).
7).
8).
9).
10).
11).
12).
13).
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14).
15).
16).
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10TICKS 627 Maths. Level 4
Corny Co-ordinates
y
6
H V D MZ E
5
RI YTE S
4
OAUS OD
3
B L C WE T
2
RXQJ I F
1
GNAP L K
0
0123456
x
Listed below are some of the worst jokes ever told. Find out what they are!
1). (4,3) (1,6) (3,1) (4,5) (3,6) (5,4) (6,5) (5,5) (3,1) (4,6) (1,4) (2,1) (4,4) (6,3) (6,6) (1,5) (4,4)
(5,3) (2,4) (6,3) ?
(6,2) (5,2) (6,5) (1,6) (3,1) (2,1) (6,4) (6,5) (1,6) (5,2) (4,1) (4,4).
2). (4,3) (1,6) (5,5) (1,5) (5,3) (6,4) (1,4) (3,3) (1,4) (4,3) (4,4) (1,1) (1,4) (5,4) (2,1) (3,1)
(6,2) (1,5) (5,2) (3,6) (3,1) (3,5) (2,1) (5,2) (1,1) (1,6) (6,3) ?
(4,5) (1,6) (6,6) (4,6) (5,4) (1,4) - (2,6) (5,2) (5,5) (4,4).
3). (4,3) (1,6) (2,4) (6,3) (5,2) (4,4) (3,1) (4,6) (3,5) (6,3) (1,6) ?
(3,1) (6,2) (5,3) (4,6) (2,4) (5,1) (5,5) (4,6) (5,4) (4,5) (1,6).
4). (4,3) (1,6) (3,5) (4,3) (2,4) (6,5) (6,3) (1,6) (5,5) (1,3) (6,6) (3,1) (3,3) (1,6) (4,3) (5,5) (6,3) ?
(1,3) (5,3) (3,3) (2,4) (3,4) (6,5) (5,3) (4,5) (1,6) (5,3) (6,5) (6,6) (3,1) (4,3) (5,3) (5,5) (3,6).
5). (4,3) (1,6) (3,1) (4,5) (6,3) (5,3) (5,1) (2,3) (4,4) (4,2) (1,4) (6,1) (5,3) (6,5) (2,4) (2,1) (3,6)
(5,1) (3,1) (3,5) (4,4) (5,3) (1,1) (1,1) (6,5) ? (2,4) (3,3) (1,4) (4,6) (5,3) (6,4) (5,2) (1,6) (6,6) (2,1).
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10TICKS 627 Maths. Level 4
Decimals
Put the following decimals in ascending (smallest to biggest) order.
1).
3).
5).
7).
9).
11).
13).
15).
17).
19).
2.5, 2.7, 2.1, 2.9, 2.6
7.6, 7.3, 7.9, 7.1, 7.0
3.9, 4.2, 3.7, 3.5, 4.1
8.9, 7.3, 7.9, 8.0, 8.4
0.9, 2.2, 1.7, 3.1, 5.0
0.93, 0.96, 0.91, 0.99,
2.36, 2.38, 2.39, 2.33,
3.45, 3.52, 3.41, 3.58,
1.56, 1.78, 1.11, 1.03,
7.47, 7.32, 7.49, 7.07,
2).
4).
6).
8).
10).
12).
14).
16).
18).
20).
0.95
2.37
3.49
1.43
7.31
4.7, 4.2, 4.9, 4.1, 4.5
0.9, 0.3, 0.2, 0.7, 0.4
1.4, 0.9, 1.8, 0.5, 1.2
5.7, 3.9, 6.1, 4.4, 1.8
7.1, 0.3, 5.5, 6, 3.2
1.47, 1.49, 1.40, 1.43, 1.41
0.16, 0.18, 0.12, 0.11, 0.15
4.67, 4.82, 4.46, 4.29, 4.65
2.64, 2.03, 2.17, 2.80, 2.54
3.98, 3.76, 4.06, 3.95, 4.01
Decimal Pyramids
To find the next number, add the two bricks below it.
Copy each pyramid and fill in the missing numbers.
2).
1).
0.4
0.2
0.7
0.3
4).
3).
0.1
0.4
0.4
0.7
1.4
0.2
1.3
8).
7).
2.3
1.4
1.8
10).
4.1
2.6
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0.5
1.2
1.6
1.5
3.4
2.8
1.9
3.2
4.1
9).
0.9
2.3
1.5
12).
11).
0.7
0.3
6).
5).
1.2
0.6
3.4
2.8
4.1
5.3
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10TICKS 627 Maths. Level 4
Minus Numbers
–
-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
5
6
7
8
9 10 11
+
Work out the answers to the following questions.
The number line above may help you with some of the answers.
A).Copy and complete the following sequences.
1). 4 3 2 1 0 -1 __ __ __
2).
-8 -7 -6 -5 -4 -3 __ __ __
3).
-5 -6 -7 -8 -9 __ __ __
4).
6 5 4 3 2 __ __ __ __ __
5).
8 6 4 2 0 -2 __ __ __
6).
-7 -5 -3 -1 __ __ __ __
7).
9 6 3 0 __ __ __ __
8).
-12 -8 -4 0 4 __ __ __
9).
8 5 2 -1 __ __ __ __
10). -10 -6 -2 __ __ __ __
B).
Which of these is the bigger number,
1).
7 or 2,
2). -4 or 2,
3).
-2 or 8,
4). 1 or -3,
5).
-5 or 2,
6). 3 or -9,
7).
7 or 3,
8). -4 or 6,
9).
-3 or -1,
10). -9 or -7,
11). -4 or 8,
12). -9 or -10,
13). 6 or -2,
14). 9 or -4,
15). 7 or -9,
16). -9 or -3,
17). 8 or 10,
18). 7 or -10,
19). -3 or -10,
20). 0 or -11?
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10TICKS 627 Maths. Level 4
Harder Multiplications
1).
242).323).34
2 ×
3 ×
21 5).
4 ×
23 6).
3 ×
4).
2 ×
26
2 ×
7).
548).34 9).35
3 ×
4 ×
5 ×
10).
55 11).4612).57
3 ×
4 ×
5×
13).
3214).4715).65
6 ×
3 ×
4 ×
16).
29 17).9818).43
4 ×
5 ×
6 ×
19).
7820).3521).82
3 ×
7 ×
6×
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10TICKS 627 Maths. Level 4
Patterns in Numbers
1).
Copy these number patterns.
Write in words how each pattern is found. Fill in the boxes with the next missing number.
a). 3 7 1115
b).281420
c). 7 1217 22
d). 5 111723
e). 2 1018 26
f). 36333027
g). 343026 22
h). 43362922
i). 373125 19
j). 48393021
2). Here are some harder number patterns.
Copy and write in words how each pattern is made.
a). 1
2
b).
c).
d).
e).
f).
g).
h).
i).
j).
6 8
4 8
3 9
8 18
39 37
47 41
33 29
2 4
12864
5
2
0
3
40
50
35
1
256
4
7
11
16
11
14
18
33
34
32
23
8
32
15
22
30
53
30
20
15
16
16
20
32
45
78
25
5
5
32
8
3). Here are some more number patterns. Copy each one.
Fill in the missing numbers in each box by looking at the pattern in the numbers.
a). 3+12 = 4 + 11= 5 +
=
+
=7 +8
b). 3+19 = 5 + 17= 7 +
=
+
=11 +11
c). 4+30 = 6 + 28= 8 +
=
+
=12 +22
d). 7+26 = 10+ 23= 13 +
=
+
=19 +14
e). 6+32 = 11 + 27= 16 +
=
+
=26 +12
f). 5+39 = 12+ 32= 19 +
=
+
=33 +11
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10TICKS 627 Maths. Level 5
Corny Co-ordinates
y
W E
I
O 4T R H L P
A V T K 3C
T I W R
S H
F D 2E
L T Y N
C G
S Q 1R A P
S E H T S
-4
-3 -2
H Y
I
-1
J
B
E W F X
1
2
3
4
X -1V G H K N
x
M W P D -2A L E F L
E S
O H -3D W M A G
U L W G -4V
I
T Y S
Listed below are some of the worst jokes ever told. Find what they are!
1). (-4,4) (2,4) (0,-2) (1,3)
(-2,-1) (-3,-3) (4,2) (2,-2) (4,-2) (3,4) (-3,-1) (-1,0) (-1,-3) (-4,-3)
(1,0) (3,4) (0,2) (2,1) (2,4) (-4,3) (4,-1) (0,4) ’ (4,-4) (-4,-2) (-2,4) (-1,-2) (-1,2) (3,4) (-4,-3)
(4,2) (1,1) (2,-3) (2,-2)? (2,-4) (-1,-3) (-3,4).
2). (1,-3) (-4,-1) (2,3) (0,3) (2,4) (3,0) (-4,-4) (1,4) (0,1) (-3,-1)? 3). (3,3) (-2,0) (0,-2) (1,3) (-1,-2) (-2,-3) (1,-4) (4,2) (0,0) (-3,4) (-4,1) (2,2) (4,-4)
(1,-2) (-3,0) (3,-3) (0,1) (4,-1) (1,1) (2,2) (-2,1) (0,3) (2,4) (-2,-3) (-1,4) (3,4)?
(-4,-2) (-2,-3) (2,-4) (-2,0) - (2,-2) (2,-3) (-4,3) (-1,0) (2,3) (0,3) (-4,0).
4). (3,3) (2,4) (-4,3) (-1,0) ‘ (4,-4) (4,1) (1,4) (-2,-3) (-4,4) (4,2) (-1,4) (4,-1) (4,1) (-2,-3) (2,2) (2,4)
(0,0) (-2,-1) (-1,2) (2,-2) (0,0) (3,-3) (4,2) (0,-3)
(0,-4) (0,2) (1,4) (3,-4) (-3,3) (2,-2) (4,3) (3,2)
(-1,0) (-4,3) (3,4) (1,-2)? (1,3) (2,-1) (2,-2) (-1,0) (-1,4) (0,-2) (0,0) (2,2)
(-2,-3) (3,-2) (-2,2) (-2,-1) (0,3) (0,2) (2,-4) (-2,-3) (3,3) (1,0) (4,3).
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(3,-1) (-4,-3) (3,2) (0,0) (3,-3) (1,4) (-3,4)
(2,-3) (-2,-3) (4,2) (-1,3) (0,2) (-3,-1) (-4,2).
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10TICKS 627 Maths. Level 5
Division
Solve the following questions
1). 848 ÷ 8 2). 882 ÷ 6 3). 963 ÷ 9 4). 763 ÷ 7
________________________________
5). 3 7023
6). 9). 7 9506
10). 9 9 0 7 2 11). 6 8 8 0 8 12). 8 9 9 8 4
14). 7476 ÷ 7 15). 9981 ÷ 9 16). 8472 ÷ 12
13). 9530 ÷ 5 5 84 2 0 7). 6 6336
8). 8 8784
________________________________
17). 7896 ÷ 8 18). 9482 ÷ 11 19). 6276 ÷ 12 20). 6120 ÷ 6
________________________________
21). 5 8 1 7 5 5 22). 4 9 2 2 6 8 23). 6 6 6 5 8 2 24). 3 8 9 6 1 9
25). 7 8 3 0 2 0 26). 9 9 7 2 5 4 27). 8 9 6 4 4 8 28). 7 8 4 0 2 8
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10TICKS 627 Maths. Level 5
Long Division
1). 12
2 7 6 2). 13 4 1 6 3). 12
4 2 0 4). 5). 15
2 7 0 6). 21 3 3 6 7). 19 4 5 6 8). 24 5 5 2
9). 12
18
288
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10TICKS 627 Maths. Level 5
Multiplication and Division Cross-Numbers
Work out the answers either in your head or by using a pen and paper method.
Put these answers in the cross-number.
3.
2.
1.
4.
5.
7.
6.
8.
9.
10.
12.
15.
18.
11.
13.
16.
14.
17.
19.
20.
23.
22.
Across
1). 16 × 8 6). 966 ÷ 23 10). 14 × 16 16). 68 × 7 22). 1056 ÷ 44 Down
1). 12 × 11 4). 11 × 11 9). 748 ÷ 17 14). 56 × 11 19). 7 × 12 Licensed to Cottenham Village College
21.
3). 7). 12). 18). 23). 455 ÷ 13 18 × 16 9 × 9 98 × 29 63 × 14
5). 9). 14). 20). 19 × 46
13 × 37
603 ÷ 9
13 × 13
2). 6). 11). 15). 20). 37 × 24 6 × 8 46 × 6 14 × 23 144 ÷ 12 3). 8). 13). 17). 21). 714 ÷ 21
36 × 23
12 × 12
56 × 13
665 ÷ 7
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10TICKS 627 Maths. Level 5
Directed Numbers
-
-11 -10
-9 -8
-7 -6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
1 0 11
+
The number line above may help you with some of the answers.
Put these numbers into ascending order (smallest to biggest).
1).
5, -9, 2, -3, 1.
2).
smallest
___ ___ ___ ___ ___
biggest
-6, 4, 7, -2, 3.
smallest
___ ___ ___ ___ ___
biggest
3).
7, 4, -2, -8, -6.
smallest
___ ___ ___ ___ ___
biggest
4).
8, 5, -9, 2, 0. smallest
___ ___ ___ ___ ___
biggest
5).
-5, 3, 7, -4, 6.
smallest
___ ___ ___ ___ ___
biggest
6).
0, -5, 3, 9, -4. smallest
___ ___ ___ ___ ___
biggest
7).
-8, -2, 0, -6, 5.
smallest
___ ___ ___ ___ ___
biggest
8).
-3, 6, 2, -2, -4.
smallest
___ ___ ___ ___ ___
biggest
9).
5, -7, -2, 6, -8.
smallest
___ ___ ___ ___ ___
biggest
10).
3, 0 , -6, -1, 12. smallest
___ ___ ___ ___ ___
biggest
11).
-11, 4, 8, -3, -7.
smallest
___ ___ ___ ___ ___
biggest
12).
-2, -6, -3, 7, -9.
smallest
___ ___ ___ ___ ___
biggest
13).
-2, -15, 4, 0, -16. smallest
___ ___ ___ ___ ___
biggest
14).
2, -6, 6, -13, 11. smallest
___ ___ ___ ___ ___
biggest
15).
-7, -1, 0, -21, 9. smallest
___ ___ ___ ___ ___
biggest
16).
9, -17, -3, 12, -14. smallest
___ ___ ___ ___ ___
biggest
17).
-6, 0, -32, 19, 7. smallest
___ ___ ___ ___ ___
biggest
18).
-27, 5, -9, 34, -2.
smallest
___ ___ ___ ___ ___
biggest
19).
49, -34, 6, -8, 11. smallest
___ ___ ___ ___ ___
biggest
20).
-43, 89, 16, -24, 7.
smallest
___ ___ ___ ___ ___
biggest
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10TICKS 627 Maths. Level 5
Addon-agons with Negative Numbers
Rule: The numbers in the two circles add up to the number in the squares between them.
Copy and complete the diagrams. The first two have been partly done to help you.
1).
2).
4
-2
9
4).
7).
10).
-9
-8
5).
20
6
-15
7
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-5
3
6).
-6
14
-18
-22
8
-11
-4
-7
12).
-13
12
-3
9).
15
-9
11).
-18
3
-9
8).
-2
11
-5
18
-6
-14
3).
15
-14
-12
11
-21
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10TICKS 627 Maths. Level 5
Finding a Fraction of a Quantity
A).Find
1). 1 of 72 2). 1 of 297
3). 1 of 540
9 3 4
4). 1 of 235 5). 1 of 642 6). 1 of 324
5 4 6
7). 1 of 1404
8). 1 of 387
9). 1 of 925
9 3 5
10). 1 of 2184 11). 1 of 1092 12). 1 of 2872
4 7 8
B). Find
1). 2 of 18 2). 2 of 10 3). 3 of 12 3 5 4 4). 2 of 14 5). 3 of 20
6). 4 of 35
7 5 5
7). 2 of 24 3 8).
3 of 32 4 9).
2 of 36 3 10). 2 of 45 11). 3 of 36 12). 4 of 55 5 4 5 13). 2 of 39 14). 3 of 35 15). 3 of 44
3 5 4
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10TICKS 627 Maths. Level 6
Dots
1).
For this investigation you will need square dotted paper.
A polygon is a closed shape made out of straight lines.
This is 1 unit of area
1 unit
of area
a).
Draw some polygons that have no dots inside them.
Count the number of dots along the perimeter of the
polygon and find the area of the polygon.
Polygon 1 has 8 dots on the perimeter
and an area of 3 units.
Polygon 2 has 5 dots on the perimeter
and an area of 1 12 units.
Polygon 1
Polygon 2
Copy and complete the table for polygons with no dots inside them.
No. of dots on perimeter, n
3
4
5
6
7
8
9
Area of polygon, A
Find a formula that links n and A.
b).
Repeat the above investigation for polygons that have 1 dot on the inside.
Hence find a formula that links n with A for these polygons.
Polygon with 1Polygon with 2
dot on the inside.dots on the inside.
c).
d).
Investigate the above for 2, 3, 4, 5...dots on the inside of the polygon.
Find a relationship between the area (A), the number of dots on the perimeter (n) and
the number of dots on the inside of the polygon (d).
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10TICKS 627 Maths. Level 6
‘Ominos
A number line is written out on a piece of paper like the one below.
1
a).
2
3
4
5
6
7
8
Edward cuts the paper every 2 numbers to make dominoes.
1
2
3
4
5
6
7
8
He then adds up each domino and makes a number pattern.
i).
ii).
iii).
iv).
Edward starts again, this time making dominoes with 3 numbers (trominoes).
b).
What is the number pattern?
What will the 6th domino add up to?
What will the 10th domino add up to?
What will the nth domino add up to?
1
2
3
He then adds up each tromino and makes a number pattern.
i).
ii).
iii).
iv).
c).
Investigate similar patterns making dominoes using 4, 5, 6..... numbers.
See if you can find an overall general formula.
Try to explain why you got each set of number patterns.
What is the number pattern?
What will the 5th tromino add up to?
What will the 12th tromino add up to?
What will the nth tromino add up to?
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10TICKS 627 Maths. Level 6
Triangles
Within the diagram below there are 3 triangles.
Find the number of triangles in each of the diagrams below.
Investigate the relationship between the number of lines across each triangle and the number of
triangles within each diagram.
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10TICKS 627 Maths. Level 6
Adding Consecutive Numbers
a).
If we add 2 consecutive numbers we can make all these numbers:
+ 2 = 3,
2 + 3 = 5,
3 + 4 = 7,
4 + 5 = 9, .....
1
Continue this pattern.
From this pattern what is the
i).
6th number,
ii).
10th number,
iii).
20th number,
iv).
nth number?
b).
If we add 3 consecutive numbers we can make all these numbers :
1 + 2 + 3 = 6,
2 + 3 + 4 = 9,
3 + 4 + 5 = 12,
4 + 5 + 6 = 15, .....
Continue this pattern.
From this pattern what is the
i).
5th number,
ii).
12th number,
iii).
24th number,
iv).
nth number?
c).
Repeat this investigation for 4, 5, 6.... consecutive numbers.
Look at the nth numbers for the different investigations, what is the pattern?
Try to explain why we get each set of patterns.
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10TICKS 627 Maths. Level 6
Circles and Squares
.
In these puzzles you get the number in the circle by adding up the 2 numbers in the square
on either side of the circle.
a).
Consider the puzzle with just one circle.
Draw a table for different start numbers (s) and
end numbers (e).
Find an equation that links them.
Change the number in the circle.
How does this change the equation?
The puzzle is now extended to 2 circles.
b).
Start
14
Draw a table for different start numbers (s) and
end numbers (e).
Find an equation that links them.
Change the numbers in the circles.
What is the relationship between the numbers in the
circles and the equation linking the start and end numbers?
The puzzle is now extended to 3 circles.
c).
End
Start
End
14
10
Start
End
14
10
23
Draw a table for different start numbers (s) and end numbers (e).
Find an equation that links them.
Change the numbers in the circles.
What is the relationship between the numbers in the circles and the equation linking the start
and end numbers?
d).
Keep extending the number of circles in the puzzle.
Find a relationship between the start and end numbers and the numbers in the circles.
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10TICKS 627 Maths
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10TICKS 627 Maths. Answers
Level 2
Number Pyramids
Missing number left to right, top to bottom.
6, 3
7, 3
4, 5
10, 5, 5
9, 5, 4
10, 4, 6
7, 3, 3
9, 5, 1
8, 3, 1
4, 2, 3
2, 7, 1
3, 1, 5
15, 9, 6, 5, 4, 2
6, 3, 4, 2, 1
All Equal
8 10 5 18 7 5 4 2 5 22 5 9 7 11 7 9 11 3 3 17
Rounding to the Nearest 10
20 50 40 60 80 20 10 100 30
10
90
70
Counting on a Number Line
15 16 27 33 58
44
Months
Jan 31 Feb 28 Mar 31 Apr 30 May 31 Jun 30 Jul 31 Aug 31 Sep 30 Oct 31 Nov 30 Dec 31
Feb 60 61 1 Feb
12
Some Products
Missing numbers 8 6
12 7
10 7
93
15 3
21 7
68
16 8
2 12
25 5
30 10
Halves and Quarters
2, 1 4, 2
5 6, 3
8, 4
10, 5
2 1 5 7 10 4 3 9
5
Level 3
Addition and Subtraction
1). 978 2). 878 3). 488 4). 389 5). 797 6). 481 7). 252 8). 196 9). 355 10). 590 11). 582 12). 491 13). 782
14). 874 15). 673 16). 182 17). 780 18). 592 19). 984 20). 893 21). 315 22). 545 23). 604 24). 219 25). 219
26). 54 27). 52 28). 23 29). 31 30). 74 31). 72 32). 55 33). 51 34). 37 35). 34 36). 05 37). 07 38). 08 39). 08
40). 07 41). 07 42). 08 43). 06 44). 09 45). 07 46). 17 47). 15 48). 17 49). 16 50). 18
Reflection
Correct diagrams drawn. Check using a mirror.
Some Products
Answers read from left to right, top to bottom. The missing numbers only.
1). 4 5
2). 21 10 3). 35 12 4). 6 5
5). 18 11
6). 60 16 7). 27 12 8). 9 6
9). 40 14 10). 14 9
11). 8 4 12). 15 5 13). 4 8
14). 30 5 15). 50 5 16). 2 7
17). 6 9
18). 28 7 2 19). 40 5 20). 10 17
Multiplication Grids
Answers read from the top row downwards, left to right.
1). 6 18 12 21 10 20 35 4 12 8 14 8 24 16 28 2). 30 12 24 18 15 6 12 9 10 4 8 6 40 16 32 24
3). 15 35 10 20 6 14 4 8 30 70 20 40 9 21 6 12 4). 2 15 20 50 18 12 24 60 9 6 12 30 6 4 8 20
5). 10 25 20 50 10 20 16 8 35 28 70 14 10 8 20 4 6). 3 12 28 24 20 35 30 25 9 21 18 15 30 70 60 50
Fractions
1). a). 3/8 b). 5/8
2). a). 2/5 b). 3/5
3). a). 5/10 b). 5/10
4). a). 5/6 b). 1/6
5). a). 3/4 b). 1/4
6). a). 2/8 b). 6/8
7). a). 7/10 b). 3/10
8). a). 1/5 b). 4/5
9). a). 2/3 b). 1/3
10). a). 2/5 b). 3/5
3
3
1
1
3
2
4
3
12). a). /2 b). /2
13). a). /5 b). /5
14). a). /7 b). /7 15). a). 2/7 b). 5/7
11). a). /6 b). /6
Cards (Addition)
1). 22 + 14 14 + 22 24 + 12 12 + 24 2). 15 + 34 34 + 15 35 + 14 14 + 35 3). 35 + 22 22 + 35 32 + 25 25 + 32
4). 45 + 23 23 + 45 43 + 25 25 + 43 5). 16 + 28 28 + 16 26 + 18 18 + 26
6). 23 - 19 7). 34 - 28 8). 41 - 32 or 23 - 14 9). 27 - 12 10). 37 - 25
Centimetres (cm)
1). 18 cm 2). 8 cm 3). 6 cm 4). 10 cm 5). 20 cm 6). 13 cm 7). 17 cm 8). 9 cm 9). 6 cm 10). 8 cm
11). 6 cm 12). 3 cm 13). 16 cm 14). 11 cm 15). 6 cm 16). 7 cm 17). 4 cm 18). 9 cm 19). 3 cm 20). 4 cm
21). 5 cm 22). 2 cm 23). 1 cm 24). 9 cm 25). 15 cm
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Level 4
10TICKS 627 Maths. Answers
Rectangle Perimeters
1). 24 cm 2). 26 cm 3). 30 cm
4). 34 cm 5). 38 mm 6). 30 km 7). 40 m 8). 32 cm
9). 64 m 10). 50 km 11). 72 mm 12). 86 mm
Angles (Amounts of Turn)
1). Acute 2). Obtuse 3). Acute 4). Obtuse 5). Acute 6). Reflex 7). Obtuse 8). Reflex
9). Obtuse 10). Reflex 11). Acute 12). Obtuse 13). Reflex 14). Acute 15). Obtuse 16). Reflex
Corny Co-ordinates
1). What do sea monsters eat? Fish and ships.
2). Where do cows go on a Friday night? the moo-vies.
3). What is a myth? A female moth
4). What was the beach wet? because the sea weed.
5). What tells jokes and lays eggs? A comedi-hen.
Decimals
1). 2.1 2.5 2.6 2.7 2.9
2). 4.1 4.2 4.5 4.7 4.9 3). 7.0 7.1 7.3 7.6 7.9
4). 0.2 0.3 0.4 0.7 0.9
5). 3.5 3.7 3.9 4.1 4.2
6). 0.5 0.9 1.2 1.4 1.8 7). 7.3 7.9 8.0 8.4 8.9
8). 1.8 3.9 4.4 5.7 6.1
9). 0.9 1.7 2.2 3.1 5.0 10). 0.3 3.2 5.5 6 7.1 11). 0.91 0.93 0.95 0.96 0.99
12). 1.40 1.41 1.43 1.47 1.49
13). 2.33 2.36 2.37 2.38 2.39
14). 0.11 0.12 0.15 0.16 0.18
15). 3.41 3.45 3.49 3.52 3.58 16). 4.29 4.46 4.65 4.67 4.82
17). 1.03 1.11 1.43 1.56 1.78
18). 2.03 2.17 2.54 2.64 2.80 19). 7.07 7.31 7.32 7.47 7.49
20). 3.76 3.95 3.98 4.01 4.06
Decimal Pyramids
Answers read from the base upwards, left to right. 1). 0.4 0.2 0.3 0.6 0.5 1.1 2). 0.7 0.1 0.4 0.8 0.5 1.3
3). 0.6 0.3 0.5 0.9 0.8 1.7
4). 1.2 0.4 0.7 1.6 1.1 2.7
5). 1.4 0.2 1.3 1.6 1.5 3.1
6). 1.2 1.6 1.5 2.8 3.1 5.9
7). 2.3 1.4 1.8 3.7 3.2 6.9
8). 0.9 2.3 1.5 3.2 3.8 7.0
9). 3.4 2.8 1.9 6.2 4.7 10.9
10). 4.1 0.7 2.6 4.8 3.3 8.1
11). 3.4 2.8 4.1 6.2 6.9 13.1
12). 5.3 3.2 4.1 8.5 7.3 15.8
Minus Numbers
A). 1). -2 -3 -4
2). -2 -1 0
3). -10 -11 -12
4). 1 0 -1 -2 -3
5). -4 -6 -8 6). 1 3 5 7
7). -3 -6 -9 -12 8). 8 12 16 9). -4 -7 -10 -13 10). 2 6 10 14
B). 1). 7 2). 2 3). 8 4). 1 5). 2 6). 3 7). 7 8). 6 9). -1 10). -7 11). 8 12). -9
13). 6 14). 9 15). 7 16). -3 17). 10 18). 7 19). -3 20). 0
Harder Multiplications
1). 48
2). 96
3). 68
4). 84 5). 69 6). 52
7). 162 8). 136
9). 175
10). 165
11). 184 12). 285 13). 192 14). 141 15). 260 16). 116 17). 490 18). 258 19). 234 20). 245 21). 492
Patterns in Numbers
1). a). Starts at 3 and goes up in 4’s. 19. b). Starts at 2 and goes up in 6’s. 26.
c). Starts at 7 and goes up in 5’s. 27.
d). Starts at 5 and goes up in 6’s. 29.
e). Starts at 2 and goes up in 8’s. 34.
f). Starts at 36 and goes down in 3’s. 24
g). Starts at 34 and goes down in 4’s. 18.
h). Starts at 43 and goes down in 7’s. 15.
i). Starts at 37 and goes down in 6’s. 13.
j). Starts at 48 and goes down in 9’s. 12.
2). a). Start at 1, the pattern increases, the differences are multiples of 1.
b). Start at 5, the pattern increases, the differences are multiples of 1.
c). Start at 2, the pattern increases, the differences are multiples of 2
d). Start at 0, the pattern increases, the differences are multiples of 3.
e). Start at 3, the pattern increases, the differences are multiples of 5.
f). Start at 40, the pattern decreases, the differences are multiples of 1.
g). Start at 50, the pattern decreases, the differences are multiples of 3.
h). Start at 35, the pattern decreases, the differences are multiples of 2.
i). Start at 1, the pattern increases, the first difference is 1 and this doubles.
j). Start at 256, the pattern decreases, the first difference is 128 and this halves.
3). Missing numbers. a). 10 6 9 b). 15 9 13 c). 26 10 24 d). 20 16 17 e). 22 21 17 f). 25 26 18
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Level 5
10TICKS 627 Maths. Answers
Corny Co-ordinates
1). What is Nelly the Elephant’s middle name ? The. 2). Which keys are furry ? Monkeys. 3). What do insects
learn at school ? Moth-ematics. 4). What’s brown on both sides and very, very tall ? The toast office tower
Division
1). 106 2). 147 3). 107 4). 109 5). 2341 6). 1684 7). 1056 8). 1098 9). 1358 10). 1008
11). 1468 12). 1248 13). 1906 14). 1068 15). 1109 16). 706 17). 987 18). 862 19). 523
20). 1020 21). 16351 22). 23067 23). 11097 24). 29873 25). 11860 26). 10806 27). 12056 28). 12004
Long Division
1). 23 2). 32 3). 35 4). 16 5). 18 6). 16 7). 24 8). 23 9). 19 10). 13
Multiplication and Division Cross-Numbers
Across 1). 128 3). 35 5). 874 6). 42 7). 288 9). 481 10). 224 12). 81 14). 67 16). 476 18). 2842
20). 169 22). 24 23). 882
Down 1). 132 2). 888 3). 34 4). 121 6). 48 8). 828 9). 44 11). 276
13). 144 14). 616 15). 322 17). 728 19). 84 20). 12 21). 95
Directed Numbers
1). -9, -3, 1, 2, 5 2). -6, -2, 3, 4, 7 3). -8, -6, -2, 4, 7 4). -9, 0, 2, 5, 8 5). -5, -4, 3, 6, 7 6). -5, -4, 0, 3, 9 7). -8, -6,
-2, 0, 5 8). -4, -3, -2, 2, 6 9). -8, -7, -2, 5, 6 10). -6, -1, 0, 3, 12 11). -11, -7, -3, 4, 8 12). -9, -6, -3, -2, 7 13).
-16, -15, -2, 0, 4 14). -13, -6, 2, 6, 11 15). -21, -7, -1, 0, 9 16). -17, -14, -3, 9, 12 17). -32, -6, 0, 7, 19
18). -27, -9, -2, 5, 34 19). -34, -8, 6,11, 49 20). -43, -24, 7, 16, 89
Addon-agons with Negative Numbers
Answers are clockwise around each shape starting at top or top left. 1). 4 -2 -6 3 9 13
2). 15 18 3 -5 -8 7
3). -5 7 12 15 3 -2
4). 20 26 6 -8 -14 6
5). -6 8 14 5 -9 -15
6). 8 -3 -11 -14 -3 5
7). -2 -17 -15 -4 11 9
8). 15 -3 -18 -27 -9 6
9). -4 -16 -12 -19 -7 -11
10). -18 -11 7 -2 -9 -27
11). -13 -35 -22 -27 -5 -18
12). 11 -10 -21 -35 -14 -3
Finding a Fraction of a Quantity
A. 1). 8 2). 99
3). 13 5 4). 47
5). 107
6). 36
7). 351
8). 129
9). 185
10). 546
11). 156
12). 359 B. 1). 12 2). 4 3). 9
4). 4 5). 12 6). 28 7). 16
8). 24 9). 24
10). 18
11). 27
12). 44 13). 26 14). 21
15). 33
Level 6
As these are investigations we will not give you all the answers.
Dots
0 dots A = 0.5 n - 1 1 dot A = 0.5 n 2 dots A = 0.5 n + 1 3 dots A = 0.5 n + 2 ,
so if d = dots A = 0.5 n + (d - 1)
‘Ominos
a). For 2
3, 7, 11, 15
4n - 1 b). For 3 6, 15, 24, 33, 42 9n - 3
c). For 4 10, 26, 42, 58
16n - 6
For 5 15, 40, 65, 90
25n - 10
At beginning square numbers, at end triangular numbers. If t is number of ‘onimos t2n - 0.5t(t - 1)
Triangles
0 lines = 3 1 line = 6
2 lines = 9
3 lines 12 n lines = 3n + 3
Adding Consecutive Numbers
a). Add 2 numbers, 3, 5, 7, 9
2n + 1
b). Add 3 numbers, 6, 9, 12, 15
3n + 3
c). Add 4 numbers, 10, 14, 18, 22 4n + 6
Add 5 numbers, 15, 20, 25, 30 5n + 10
At beginning numbers you are adding, at end triangular numbers.
If t is number of numbers adding together then tn + 0.5t(t - 1)
Circles and Squares
a). s + e = c where c = number in circle
b). c1 = first circle, c2 = second circle
c1 - s = middle square = c2 - e so c1 - s = c2 - e or
c1 - c2 = s - e
c). c1 = first circle, c2 = second circle, c3 = third circle
c1 - c2 + c3 = s + e
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