MATHS
2
3
4
Every great legend begins with a spark
5
Observation is one of the greatest powers in the universe
Thousands
Hundreds
Tens
Ones
Place Value
1000
100
10
1
Allowed Digits
1- 9
0- 9
0-9
0 -9
REMEMBER
6
7
TIP
REMEMBER
8
TIP
Thousands 1000
Hundreds 100
Tens 10
Ones 1
9
• SUMMARY
• • •
10
PRACTICE Master what you have learned and hone your skills in return for prestige
EASY
11
12
13
14
15
16
17
∴
∴
18
∴
∴
∴
19
20
21
∴
∴
22
∴
∴
23
24
25
26
27
28
29
30
31
Share your achievements!
32
33
Every great legend begins with a spark
34 Copyright © 2017-18 Winspark Innovations Learning Pvt. Ltd. All Rights Reserved.
Page 25
Observation is one of the greatest powers in the universe
Place Value
Thousands
Hundreds
Tens
Ones
1000
100
10
1
TIP
35
EXAMPLE
Thousands 1000
Hundreds 100
Tens 10
Ones 1
3
2
4
7
36
REMEMBER
37
Thousands 1000
Hundreds 100
Tens 10
Ones 1
Thousands 1000
Hundreds 100
Tens 10
Ones 1
5
3
2
4
• SUMMARY
• • •
38
PRACTICE Master what you have learned and hone your skills in return for prestige
EASY
39
40
NORMAL
41
42
43
44
45
46
∴
∴
47
∴
∴
∴
48
SUPER
49
50
51
52
OLYMPIAD
53
=
=
54
55
56
57
58
Share your achievements!
59
60
Every great legend begins with a spark
Rs 340 At The School Store
₹ ₹
Rs 520 At The Shopping Mall
₹ ₹
61 Copyright © 2017-18 Winspark Innovations Learning Pvt. Ltd. All Rights Reserved.
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Observation is one of the greatest powers in the universe
₹
₹
₹
₹
62
TIP
EXAMPLE Number 1
Comparison
Number 2
45
>
40
60
=
60
125
<
126
678
=
678
599
>
566
TIP
EXAMPLE
63
EXAMPLE
Tens
Ones
Tens
Ones
Number
6532
Tens
Ones
Tens
Ones
Number
6536
64
METHOD
65
REMEMBER
• SUMMARY
• • •
•
66
PRACTICE Master what you have learned and hone your skills in return for prestige
EASY
67
68
∴
∴
∴
∴
69
70
71
72
73
74
75
76
77
NORMAL
78
79
80
81
82
83
84
85
SUPER
•
• • •
86
• • • •
87
• • • •
88
• • • •
89
• • • •
90
• • • •
91
92
OLYMPIAD
93
94
95
Share your achievements!
96
97
Every great legend begins with a spark
98 Copyright © 2017-18 Winspark Innovations Learning Pvt. Ltd. All Rights Reserved.
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Observation is one of the greatest powers in the universe
DEFINITION
EXAMPLE
99
TIP
100
EXAMPLE
REMEMBER
TIP
101
EXAMPLE
Box 1
Box 2
Box 3
102
EXAMPLE
• SUMMARY
• • • • •
103
PRACTICE Master what you have learned and hone your skills in return for prestige
EASY 1.
Circl ircle e th the obj obje ects cts with ith ev even number. er. a)
Circ Circle le the the appl apples es with with a numb number er divi divisi sibl ble e by 2.
1
3
2
4
5
6
7
Only 2,4 and 6 are divisible by 2.
b)
Circ Circle le the the box boxes es whos whose e numb number er is div divisib isible le by 2.
212
c)
213
214
215
Circle Circle the hous houses es whose whose numbe numberr is is divi divisib sible le by by 2. 751
2000
928
2007
104
d)
Circle Circle the medals medals whos whose e numb number er is is divisi divisible ble by 2. 2.
21
e)
27
120
94
If all all the circled circled objects objects containe contained d an an even even number number,, then then what what type of numbers will be even?
Not divisible by 2
Divisible by 2
2.
Circle Circle the object objects s that that conta contain in an odd odd numbe numberr.
a)
Circle Circle the the car cars s whos whose e numbe numbers rs are are not not divi divisib sible le by 2. 2.
4651
2120
3521
4651 and 3521 are not divisible by 2.
b)
Circle Circle the the T-shirts -shirts whose whose numb numbers ers are not divisib divisible le by by 2.
77
10
29
105
c)
Circle Circle the plates plates whose whose numbe numberr is not not div divisi isible ble by 2. 2.
293
d)
18 180
192
Circle Circle the boxes boxes whos whose e numb number er is is not not divi divisib sible le by by 2.
2481
e)
157
3521
7812
9992
If all all the circled circled objects objects containe contained d an an odd odd number number,, then then what what do you mean by an odd number?
Not divisible by 2
Divisible by 2
3.
Given Given below below are are some some even even number numbers. s. Ident Identify ify the pattern pattern and answer answer the following. a)
2, 4, 6, 8, 10
0
1
2
3
+2
+2
+2 4
5
6
7
+2 8
9
10
Start
106
i.
Wha What is com common mon be betwe tween th these numbe mbers? rs? √
ii. ii.
Are Are all all the the num numbe bers rs in the the seq seque uenc nce e div divis isib ible le by 2? √
iii. iii.
Are Are the they y all all the the numb number ers s ev even? en? √
iv. iv.
No
Yes
Yes
No
What What numb number er do you you add add to to a smal smaller ler numb number er to get get the the nex nextt number in the series?
√
v.
What What do you call call this this sequ sequen ence ce of numb number ers? s? √
b)
Pattern of odd numbers
12, 14 14, 16, 18 18, 20 20
10 i.
Pattern of even numbers
11
12
13
14
15
16
17
18
19 20
Are Are the the num numbers bers in the the sequ sequen ence ce incr increa easi sing ng? ? Yes
No
107
ii. ii.
Are Are all all the the num numbe bers rs in the the seq seque uenc nce e div divis isib ible le by 2? No
Yes iii.
Are al all the numbers even? Yes
iv. iv.
No
What What num number ber do you you add add to a smal smaller ler numb number er to get the next number in the series?
1
2
v.
What What does does the the abov above e sequ sequen ence ce make make? ? Pattern of even numbers
c)
Pattern of odd numbers
32, 34, 36, 38, 40
30 i.
31
33
34
35
36
37
38
39 40
Are Are the the numb number ers s in the the seq seque uenc nce e incr increa easi sin ng? Yes
ii. ii.
32
No
Are Are all all the the num numbe bers rs in the the seq seque uenc nce e div divis isib ible le by 2? Yes
No
108
iii.
Are all the numbers even? No
Yes
iv. iv.
What What num numbe berr do do you you add to a smal smaller ler numb number er to get get the next number in the series?
1
2
v.
What What does does the the abov above e sequ sequen ence ce make make? ? Pattern of even numbers
d)
100, 100, 102, 102, 104, 104, 106, 106, 108, 108, 110
100 101 102
i.
103 104 105 106 107 108 109 110
Are Are the the numb number ers s in in the the sequ sequen ence ce incr increa easi sin ng? Yes
ii. ii.
No
Are Are all all the the num numbe bers rs in the the seq seque uenc nce e div divis isib ible le by 2. Yes
iii.
Pattern of odd numbers
No
Are the numbers even? Yes
No
109
iv. iv.
What What num number ber do you you add add to a small smaller er numbe numberr to to get get the next number in the series? 1
2
v.
What What does does the the abov above e sequ sequen ence ce make make? ? Pattern of even numbers
e)
Pattern of odd numbers
990, 990, 992, 992, 994, 994, 996, 996, 998, 998, 1000 1000
990 991 992 i.
993 994 995 996 997 998 999 1000
Are Are the the numb number ers s in in the the sequ sequen ence ce incr increa easi sin ng? Yes
ii. ii.
Are Are all all the the num numbe bers rs in the the seq seque uenc nce e divi divisi sibl ble e by by 2. 2. Yes
iii iii.
No
Are th they all all even nu number bers? Yes
iv. iv.
No
No
What What num numbe berr do do you you add add to a small smaller er numbe numberr to to get get the next number in the series? 2
v.
1
What What does does the the abov above e seq seque uenc nce e make make? ? Pattern of even numbers
Pattern of odd numbers
110
4.
Given Given below below are some odd numbers numbers.. Mark Mark them on the number number line and answer the questions below:
a)
1, 3, 5, 7, 9
0
1
2
+2
+2
+2 3
4
5
6
+2 7
8
9
10
Start i.
Are Are the the numb number ers s in the the seq seque uenc nce e incr increa easi sin ng? Yes
ii. ii.
Are Are all all the the num numbe bers rs in the the seq seque uenc nce e divi divisi sibl ble e by by 2. 2. Yes
iii iii.
No
Are all the the number bers odd? Yes
iv. iv.
No
No
Which Which num numbe berr is adde added d to all all the the numbe numbers rs in in the seque sequence nce to get get the next number? 1
v.
2
What What does does the the abov above e sequ sequen ence ce make make? ? Pattern of odd numbers
Pattern of even numbers
111
b)
11, 13, 15, 17, 19
10
i.
11
12
13
14
15
16
Are Are all all the the num numbe bers rs in the the seq seque uenc nce e div divis isib ible le by 2.
No
Which Which numb number er is adde added d to to all all the the num number bers s in in the the sequ sequen ence ce to get the next number? 1
v.
No
Are the they all odd number bers? Yes
iv. iv.
20
No
Yes
iii. iii.
19
Are Are the the numb number ers s in in the the sequ sequen ence ce incr increa easi sin ng? Yes
ii. ii.
18
17
2
What What does does the the abo above seq sequ uence ence make make? ?
Pattern of odd numbers
Pattern of even numbers
112
c)
51, 53, 55, 57, 59
50 i.
51
52 53
54
55
56
Are Are all all the the num numbe bers rs in the the seq seque uenc nce e div divis isib ible le by 2. No
Are they all the numbers odd? Yes
iv. iv.
No
Which Which numbe numberr is is added added to all all the the num number bers s in in the the sequ sequen ence ce to get the next number? 2
1 v.
What What does does the the abov above e sequ sequen ence ce make make? ? Pattern of odd numbers
d)
59 60
No
Yes
iii.
58
Are Are the the numb number ers s in in the the sequ sequen ence ce incr increa easi sin ng? Yes
ii. ii.
57
Pattern of even numbers
201, 20 203, 20 205, 20 207, 20 209
200 201 202 203
204 205 206 207 208 209 210
113
i.
Are Are the the numb number ers s in in the the sequ sequen ence ce incr increa easi sin ng? Yes
ii. ii.
No
Are Are all all the the num numbe bers rs in the the seq seque uenc nce e div divis isib ible le by 2. Yes
iii. ii.
No
Are they they all od odd numbers? rs? No
Yes
iv. iv.
Which Which numb number er is is added added to to all all the num numbe bers rs in in the sequ sequen ence ce to to get get the next number? 1
v.
2
Wha What do does th the ab above ove se sequen uence make? ke?
Pattern of odd numbers
5.
Pattern of even numbers
Comp Comple lete te the the sequ sequen ence ce of eve even n numb number ers s a)
22, 24, 26, 28, 30 30
22 + 2 = 24
26 + 2 = 28
24 + 2 = 26
28 + 2 = 30
114
b)
190, 190, 192, 192, 194, 194, ____ ______ ___, _, ____ ______ __,, ______
c)
1910 1910,, 1912 1912,, 191 1914, 4, ____ ______ ___, _, ____ ______ __,, ______
d)
2496 2496,, 2498 2498 , ___ _____ ____ __,, ____ ______ __,, ____ ______ __
f)
Which Which numbe numberr is is added added to make make a sequ sequenc ence e of of even even numb number er..
6.
Comp Comple lete te the the sequ sequen ence ce of odd odd numb number ers. s. a)
31, 33, 35, 37, 39 31 + 2 = 33
33 + 2 = 35
35 + 2 = 37
37 + 2 = 39
115
b)
827, 82 7, 829 829,, ____ ______ ___, _, __ ____ ____ ___, _, __ ____ ____ __
c)
995, 99 5, 99 997, 7, ___ _____ ____ __,, ___ _____ ____ __,, ___ _____ ___ _
d)
2495,, 2497 2495 2497,, 2499 2499,, ____ ______ ___, _, ___ _____ ____ __,, ______
e)
7643,, 7645 7643 7645,, 7647 7647,, ____ ______ ___, _, ___ _____ ____ __,, ______
f)
Which Which numbe numberr is is adde added d to to make make a seque sequenc nce e of of odd odd numb number er..
116
7.
Togo has a numb number er sequenc sequence e and below below is a number number maize maize with with lots of numbers written. Circle the numbers of the sequence in the maize.
a)
4, 8, 12, 16, 20 1
2
3
4
5
6
7
8
9
10 10
11
12
13
14
15
16
17
18
19
20
How many steps did you take to reach the next number in this sequence?
b)
4
3
2
1
247, 247, 250, 250, 253, 253, 256, 256, 259, 259, 263 263 241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
How many steps did you take to reach the next number in this sequence? 1 c)
2
3
4
2631 2631,, 263 2636, 6, 2641 2641,, 264 2646, 6, 2651 2651,, 265 2656 6 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 How many steps did you take to reach the next number in this sequence? 3
4
5
6
117
d)
7992 7992,, 7996 7996,, 8000, 8000, 8004 8004,, 8008 8008,, 8012 8012,, 8016, 8016, 8020 8020 7991 7992 7993 7994 7995 7996 7997 7998 7999 8000 8001 8002 8003 8004 8005 8006 8007 8008 8009 8010 8011 8012 8013 8014 8015 8016 8017 8018 8019 8020 How many steps did you take to reach the next number in this sequence?
8.
6
5
4
3
Let us us create create our own own pattern patterns! s! You have have been provided provided the first first number of the pattern. Choose any one number to be added and create the pattern. a)
Sta tart rtiing numbe berr = 269 699 9 Choose the number to be added – added – 3
2
✔ 4
5
Pattern : 2699 + 4 = 2703
2703 + 4 = 2707
2707 + 4 = 2711
2711 + 4 = 2715
2699, __________, ___________, __________, __________ b)
Sta tart rtiing numbe berr = 777 777 7 Choose the number to be added – 5
6
7
8
Pattern :
7777, __________, ___________, __________, __________
118
c)
Star arti tin ng numbe berr = 34 3456 Choose the number to be added – 3
5
7
9 Pattern :
3456, __________, ___________, __________, __________ d)
Star arti tin ng num umb ber = 99 999 9 Choose the number to be added – 8
7
6
5 Pattern :
999, __________, ___________, __________, __________
NORMAL 9.
Given Given below below is is a numbe numberr grid. grid. Crea Create te sequ sequenc ences es by by markin marking g numbers in the grid. 1
2
3
4
5
6
7
8
9
10 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
119
10. Can a sequence sequence only be increasing? increasing? Let Let us find out! Mark Mark the following on a number line and answer the questions that follow. a)
90, 88, 88, 86, 84, 82, 80
81
80 i.
82
83
84
86
87
88
89 90
What type of sequence is it? Increasing
ii. ii.
85
Decreasing
What What oper operat atio ion n is is perf perfor orme med d to to a num numbe berr to to get get the the nex nextt number in the sequence? Addition
Subtraction
120
iii. iii.
b)
What What numb number er is add added ed / subtr subtrac acte ted d from from a term term to get get the the next one?
206 206, 20 202, 19 198, 19 194, 190
190
195 i.
200
210
What type of sequence is it? Increasing
ii. ii.
Decreasing
What What oper operat atio ion n is is perf perfor orme med d to to a num numbe berr to to get get the the nex nextt number in the sequence? Subtraction
Addition iii. iii.
c)
205
What What num numbe berr is is added added / subtr subtrac acte ted d from from a term term to to get get the the next one?
231 2311, 2308 2308,, 230 2305, 5, 2302 2302,, 229 2299, 9, 2296 2296
2295
2300 i.
Decreasing
What What oper operat atio ion n is is perf perfor orme med d to to a num numbe berr to to get get the the nex next number in the sequence? Addition
iii. iii.
2310
What type of sequence is it? Increasing
ii. ii.
2305
Subtraction
What What num number ber is add added ed / subtr subtrac acted ted from from a term term to get the next one?
121
2315
d)
7800 7800,, 779 7798, 8, 7796 7796,, 779 7794, 4, 7792 7792
7790 i.
7792
7796
7794
Decreasing
What What oper operat atio ion n is is per perfo form rmed ed to a num numbe berr to get get the the next next number in the sequence? Addition
iii. iii.
e)
Subtraction
What What numb number er is add added ed / subtr subtract acted ed from from a term term to get get the the next one?
When When the the seq seque uenc nce e inc incre reas ases es,, we we Subtract
Add a number to get the next term. f)
When When the the seq seque uenc nce e decr decrea eas ses, es, we we Subtract
Add a number to get the next term.
11. Look at these boxes of coins of 10. Do they form a pattern? 10 a)
7802
What type of sequence is it? Increasing
ii. ii.
7800
7798
10 10 Box 1
10
10
10
10
10
10
10
10
10
Box 2
Box 3
122
How many coins of 10 are added to box 1 to get coins in box 2?
How many coins of 10 are added to box 2 to get coins in box 3?
What is the sequence formed?
10 b)
10 10
10 10
Box 1
10
10
10
10
10
10
10
10
Box 2
10
10
10
10 10
10
10
10
10 10
Box 3
How many coins of 10 are added to box 1 to get coins in box 2?
How many coins of 10 are added to box 2 to get coins in box 3?
What is the sequence formed?
123
10
10
c)
10
10 10
10 10
10
10
Box 1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
Box 3
Box 2
How many coins of 10 are added to box 1 to get coins in box 2?
How many coins of 10 are added to box 2 to get coins in box 3?
What is the sequence formed?
12. Let us try try to identify identify these new kind of patterns patterns below below.. a)
30, 40 40, 50 50, 60 60, 70 70, 80 80 i.
What kind of of se sequence is th this? Increasing
ii. ii.
Decreasing
Wha What is is ad added or or su subtra tracte cted to to th the last term to get to the next one?
b)
460, 470, 480, 490 i.
What kind of of se sequence is th this? Increasing
ii. ii.
Decreasing
Wha What is is ad added or or su subtra tracte cted to to th the last term to get to the next one?
124
c)
380, 370, 360, 350, 50, 340 i.
What kind of of se sequence is th this? Increasing
ii. ii.
Decreasing
Wha What is is ad added or or su subtra tracte cted to to th the last term to get to the next one?
d)
2042 2042,, 205 2052, 2, 2062 2062,, 207 2072, 2, 2082 2082 i.
What ki kind of of se sequence is th this? Increasing
ii. ii.
Decreasing
What What is ad added or or su subtra tracted ted to the the last term to get to the next one?
e)
5921 5921,, 591 5911, 1, 5901 5901,, 589 5891, 1, 5881 5881
i.
What kind of se sequence is th this? Increasing
ii. ii.
Decreasing
Wha What is is ad added or or su subtra tracte cted to the the last term to get to the next one?
f)
What What plac place e in the place place valu value e table table is cha chang nge e in in the the var variou ious s terms? Thousands
Hundreds
Tens
Ones
125
13. Let us create create our own patterns patterns by adding adding or removing removing tens. a)
Add Add 30 30 to to com compl plet ete e the the seq seque uenc nce e
580, 610, 640, __________, __________, __________, __________ __________
b)
640 + 30
= 670
700 + 30
= 730
670 + 30
= 700
730 + 30
= 760
Add Add 70 70 to to com compl plet ete e the the seq seque uenc nce e
1480, 1550, 1620, __________, __________, __________, __________, __________ __________,, __________ __________
c)
Subt Subtra ract ct 50 to comp comple lete te the the seq seque uenc nce e 300, 250, 200, __________, __________, __________, __________, __________, __________, __________ __________
d)
Add Add 90 90 to to com compl plet ete e the the seq seque uenc nce e
3499, 3409, 3319, __________, __________, __________ __________,, __________, __________, __________ __________
e)
Add Add 60 to comp comple lete te the the sequ sequen ence ce
7864, 7924, 7984, __________, __________, __________ __________,, __________, __________, __________ __________
126
f)
Subtra tract 40 to com complete lete the the se sequenc ence 9999, 9959, 9919, __________, __________, __________, __________, __________ __________,, __________ __________
SUPER 14. We used used ones and tens to form patterns. Can we also also change change the hundreds place? Let us find out. 100 100
a) 100
100
100
100
100
100
100
100
100
Box 2
Box 1
b)
100
Box 3
i.
How How man many y 100 100 coin coins s are are adde added d to box box 1 to get get coi coins ns in box box 2? 2?
ii. ii.
How How many many 100 100 coi coins ns are are add added ed to box box 2 to get get coi coins ns in box box 3?
iii. iii.
Do the boxe boxes s form form a sequ sequen ence ce? ? If yes, yes, write write it dow down. n.
100 100
Box 1
100
100 100
100
100
100
100
100
100
100
100
100
100
100
100
Box 2
Box 3
127
i.
How How man many y 100 100 coin coins s are are adde added d to box box 1 to get get coi coins ns in box box 2? 2?
ii. ii.
How How many many 100 100 coi coins ns are are add added ed to box box 2 to to get get coin coins s in box box 3? 3?
iii. iii.
Do the boxe boxes s form form a sequ sequen ence ce? ? If yes, yes, writ write e itit dow down. n.
c)
100 100
100 100 100
100 100
100 100
100 100
100
100
100
100
100
100
100
100
100
100
100
100
100
Box 1
Box 2
Box 3
i.
How How man many y 100 100 coin coins s are are adde added d to box box 1 to get get coi coins ns in box box 2? 2?
ii. ii.
How How many many 100 100 coi coins ns are are add added ed to box box 2 to to get get coin coins s in in box box 3?
iii. iii.
Do the boxe boxes s form form a seq sequen uence ce? ? If yes, yes, write write it dow down. n.
128
d)
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
Box 2
Box 1
Box 3
i.
How How man many y 100 100 coin coins s are are adde added d to box box 1 to get get coi coins ns in box box 2? 2?
ii. ii.
How How many many 100 100 coi coins ns are are add added ed to box box 2 to to get get coin coins s in in box box 3?
iii. iii.
Do the boxe boxes s form form a seq sequen uence ce? ? If yes, yes, write write it dow down. n.
15. There is a pattern of Rs.100 notes. Identify pattern and write write the sequence. 100
a)
100
100
100
100
100
100
100
100
100
100
Box 1 i.
Box 2
100
Box 3
What type of sequence is it? Increasing
Decreasing
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ii. ii.
How How many many 100 100 coin coins s are are add added ed or remo remove ved d from from each each term term? ?
iii. iii.
Do the boxe boxes s form form a seq sequen uence ce? ? If yes, yes, write write it dow down. n.
b)
100
100
100
100
100
100
100
100
100
100
100
100
Box 1 i.
Box 2
Box 3
What type of sequence is it? Decreasing
Increasing ii. ii.
How How many many 100 100 coi coins ns are are add added ed or remo remove ved d from from each each term term? ?
iii. iii.
Do the boxes boxes form form a seq sequen uence ce? ? If yes, yes, write write it dow down. n.
c)
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
Box 1 i.
100
Box 2
Box 3
What type of sequence is it? Increasing
Decreasing
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ii. ii.
How How many many 100 100 coi coins ns are are add added ed or rem remov oved ed fro from m eac each h ter term? m?
iii. iii.
Do the boxes boxes form form a seq seque uence nce? ? If yes, yes, writ write e itit dow down. n.
16. Predict the next next number in the number number patterns patterns below. below. a)
700 800
900 1000
The next number in the series will be ____________ b)
600
800
1000
1200
The next number in the series will be ____________ c)
950 1250 1550 The next number in the series will be ____________ d)
4000
4500
5000
The next number in the series will be ____________
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17. Form number number patterns patterns by adding adding or removing removing hundreds from each term. a)
Add Add 100 100 to comp comple lete te the the seq seque uenc nce. e. 700, 800, 900, __________, __________
b)
Remo Remov ve 200 200 to com compl plet ete e the the seq seque uenc nce. e. 1600, 1400, 1200, ___________, _____ ______, ___________, ___________, ___________ ___________
c)
Add Add 400 400 to comp comple lete te the the seq seque uenc nce. e. 1700, 6800, 6200, __________, __________, __________, __________
d)
Remo Remove ve 600 600 to to comp comple lete te the the sequ sequen ence ce.. 7400, 6800, 6200, __________, __________, __________, __________
e)
Add Add 300 300 to comp comple lete te the the seq seque uenc nce. e. 2734, 3034, 3334, __________. ____________, __________. ____________ ____________
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18. In the number number patterns patterns given given below, below, identify which which number number is being added or subtracted. a)
2700, 2500, 23 2300, 21 2100 i.
What type of sequence is it? Increasing
ii. ii.
What What oper operat atio ion n is is per perfo form rmed ed to a numb number er to get get the the nex nextt number in the sequence? Addition
iii. iii.
✔ Decreasing
✔ Subtraction
What What num numbe berr is add added ed or sub subtr trac acte ted d to to each each ter term? m?
Number = ___________ b)
8400, 8900, 94 9400, 99 9900 i.
What type of sequence is it? Increasing
ii. ii.
What What oper operat atio ion n is is perf perfor orme med d to to a num numbe berr to to get get the the nex nextt number in the sequence? Addition
iii. iii.
Decreasing
Subtraction
What What num numbe berr is add added ed or sub subtr trac acte ted d to to each each ter term? m?
Number = ___________
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c)
2369, 276 2769 9, 21 2169, 3569 i.
What type of sequence is it? Increasing
ii. ii.
What What oper operat atio ion n is is perf perfor orme med d to to a num numbe berr to to get get the the nex nextt number in the sequence? Addition
iii. iii.
Decreasing
Subtraction
What What num numbe berr is add added ed or or subt subtra ract cted ed to eac each h term term? ?
Number = ___________
d)
8824, 852 8524 4, 82 8224, 7924 i.
What type of sequence is it? Increasing
ii. ii.
What What oper operat atio ion n is is perf perfor orme med d to to a num numbe berr to to get get the the nex nextt number in the sequence? Addition
iii. iii.
Decreasing
Subtraction
What What numb number er is is adde added d or or subt subtra ract cted ed to eac each h term term? ?
Number = ___________
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19. Now let us form form patterns patterns by by changing changing thousa thousands nds.. a)
650 6500, 75 7500, 00, 85 8500, 95 9500 i.
What type of sequence is it?
✔ Increasing ii. ii.
iii. iii.
What What is add added ed or subt subtra ract cted ed to get get the the nex nextt numb number er? ?
What What plac place e in the the plac place e value value tab table le is is chang changed ed in in the various terms?
✔ Thousands Tens
b)
Decreasing
Hundreds Ones
880 8800, 68 6800, 00, 48 4800, 28 2800 i.
What type of sequence is it? Increasing
ii. ii.
iii. iii.
Decreasing
What What is add added ed or subt subtra ract cted ed to get get the the nex nextt numb number er? ?
What What plac place e in the the place place valu value e table table is is chang changed ed in in the various terms? Thousands
Hundreds
Tens
Ones
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c)
1653, 4653, 7653 i.
What type of sequence is it? Increasing
ii. ii.
iii. iii.
d)
Decreasing
What What is add added ed or subt subtra ract cted ed to get get the the nex nextt numb number er? ?
What What plac place e in the the place place valu value e table table is is chang changed ed in in the various terms? Thousands
Hundreds
Tens
Ones
982 9821, 78 7821, 21, 58 5821, 38 3821 i.
What type of sequence is it? Increasing
ii. ii.
iii. iii.
Decreasing
What What is add added ed or subt subtra ract cted ed to get get the the nex nextt numb number er? ?
What What plac place e in the the place place valu value e table table is is chang changed ed in in the various terms? Thousands
Hundreds
Tens
Ones
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MASTER 20. Complet Complete e the given given seque sequence nce.. a)
10, 25, 25, 40, 40, 55, 55, _____ ________ ______ ___,, _____ ________ ______ ____, _, _______ __________ ______ ___
b)
20, 32, 32, 44, 44, 56, 56, ___ _____ ____ ____ ____ ___, _, _____ _______ ____ ____ __
c)
35, 60, 60, 85, 85, 110, 110, ____ ______ ____ ____ ___, _, _____ _______ ____ ____ ___ _
d)
75, 150, 150, 225, 300, 300, ______ _________ _____, __, _______ __________ ____, _, ____ _______ ______ ______ ___
21. Complet Complete e the given given seque sequence nce.. a)
90, 90, 75, 75, 60, ____ ______ ____ ____ __,, _____ _______ ____ ____ ___ _
b)
150, 150, 125 125,, 100, 100, _____ _______ ____ ____ ___, _, _____ _______ ____ ____ __
c)
110, 99, 88, 77, _______ __________ ____, _, _______ __________ _____, __, _______ __________ _____ __
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d)
190, 190, 171, 171, 152, 152, _______ __________ ____, _, _______ __________ ____, _, _______ __________ ______ ___
e)
360, 360, 342, 342, 324, 324, 306, 306, ____ ______ ____ ____ ___, _, ___ ______ _____ ____ ___, _, ___________ _____________ __
22. Captain Spark Spark had 8482 Gems on Monday. Monday. He gives 400 gems to Togo Togo everyday everyday,, starting from Tuesday. Show the gems with both of them on each day as a sequence. (Solve in your Notebook)
23. Captain Spark Spark organized organized a cricket match. match. Roxy Roxy scored 1 run run in the first over over.. She decided to score 3 runs more than the previous over from then on. She played for 6 overs. Represent the runs scored by Roxy as a sequence and find out the total runs scored by her. (Solve in your Notebook) 24. Can you you solve these these challe challengin nging g pattern patterns? s?
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Every great legend begins with a spark
We find approximate values of large quantities when we are more concerned about the rough range and not the exact value
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Observation is one of the greatest powers in the universe
REMEMBER
EXAMPLE
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REMEMBER
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TIP
METHOD
T I P
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• SUMMARY
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PRACTICE Master what you have learned and hone your skills in return for prestige
EASY
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700+800 2
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a) Age of the customer who has come come to buy a laptop. laptop. Exact
Approximate
b) Age of a person person to check check eligibility eligibility for senior senior citizen discount. Exact
Approximate
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c) Number of lunch packs needed for distribution at the school function. Exact
Approximate
d) Number of students at school as requested by the ministry. ministry. Exact
Approximate
e) Number of people watching the cricket match at the stadium. Estimation
Actual
f) Volume of water needed to prepare tea for 4 people. Estimation
Actual
g) Number of employee employees s in the company company for calculating salary expense. Exact
Approximate
h) Volume of chemical chemical needed to react with acid to produce produce the requ requir ired ed reac reacti tion on.. Exact
Approximate
NORMAL 10. 10. Whic Which h of the the fol follow lowing ing could be estim stima atio tions? a) The population population of of The Vatican Vatican City is approxim approximately ately 9000. 9000. Estimation
Actual
b) Togo secured secured around around 80% marks marks in his exams. exams. Estimation
Actual
c) The price price of the the phone phone is is Rs. 6,480 6,480.. Estimation
Actual
d) Around 70% of people people in India live live below the the poverty poverty line. Estimation
Actual
e) Sachin Sachin scored scored 137 137 runs runs against against Australi Australia a at Sharjah. Sharjah. Estimation
Actual
f) He spen spends ds arou around nd Rs. Rs. 100 1000 0 per per mont month. h. Estimation
Actual
g) Captain Spark’s height is 183 cm. Estimation
Actual
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13. Round off the given numbers to the nearest place as specified. a) 4362 (Nearest Hundred)
b) 6348 (Nearest Hundred)
c) 8548 (Nearest Tens)
d) 2627 (Nearest Thousand)
e) 6123 (Nearest Tens)
f) 1234 (Nearest Thousand)
g) 8434 (Nearest Hundreds)
h) 4500 (Nearest Thousand)
14. Togo wanted to see the effect of rounding off a number to different plac laces. Help Help him find find out. b) 7963
a) 6862 Rounded off to nearest 1000
Rounded off to nearest 100
Rounded off to nearest 100
Rounded off to nearest 10
Difference
Difference
b) 2689
a) 73 Rounded off to nearest 1000
Rounded off to nearest 100
Rounded off to nearest 100
Rounded off to nearest 10
Difference
Difference
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15. Till what place of decimal will you round off the numbers below? a) Popu Populat lation ion of Sto Stoney ney Creek Creek is 532 5329. 9. Com Compar pare e it with with the population of Black Desert. Population of Black Desert = 4291. Round off off till __________ __________ place. Rounded off figure = ___________
b) The heigh heightt of Mt. Mt. Everes Everestt is around around 8900 metres metres abov above e the sea level. A helicopter is flying at an altitude of 5,483 metres. Compare it with the height of Mt. Everest. Round off off till __________ __________ place. Rounded off figure = ___________
c) The revenue revenue of the company company Kunmal Kunmal Chemica Chemicals ls is 6893 Gems. The revenue of the company Abby Chemicals is 7820 Gems. Compare it with the revenue of Kunmal Chemicals. Round off off till __________ __________ place. Rounded off figure = ___________
d) The distance distance between between Delhi Delhi and Mumbai Mumbai by train train is 1409 1409 Km. The distance between Delhi and Agra is 196 Km. Compare the two. Round off off till __________ __________ place. Rounded off (Delhi to Mumbai)
= __________ Km
Round off (Delhi to Agra)
= __________ Km
Difference
= __________ Km
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SUPER
158
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160
OLYMPIAD
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