Worksheet Solutions: Patterns | Mathematics for Class 5 PDF Download

Q1: Fill in the blanks.
(a) 82 × …… = …… × 45
(b) 46 + ….. = …… + 89
(c) 45 + 15 +……=45 + 36 +….
(d) 45 × … × 89 = 15 × …. × 45
(e) A, D, G,…., M, P

Ans: Below are the correct fill in the blanks:
(a) 82 × 45 = 82  × 45
(b) 46 + $\mathrm{<strong\; style="font-weight:\; 700;\; word-break:\; break-word;\; line-height:\; 1.8;\; font-family:\; Lato,\; sans-serif;\; font-size:\; 20px;\; letter-spacing:\; inherit;\; color:\; black;"><u\; style="word-break:\; break-word;\; line-height:\; 1.8;\; font-family:\; Lato,\; sans-serif;\; font-size:\; 20px;\; letter-spacing:\; inherit;\; color:\; black;">89</u></strong>}=\mathrm{<strong\; style="font-weight:\; 700;\; word-break:\; break-word;\; line-height:\; 1.8;\; font-family:\; Lato,\; sans-serif;\; font-size:\; 20px;\; letter-spacing:\; inherit;\; color:\; black;"><u\; style="word-break:\; break-word;\; line-height:\; 1.8;\; font-family:\; Lato,\; sans-serif;\; font-size:\; 20px;\; letter-spacing:\; inherit;\; color:\; black;">46</u></strong>}+89$
$\mathrm{<strong\; style="font-weight:\; 700;\; word-break:\; break-word;\; line-height:\; 1.8;\; font-family:\; Lato,\; sans-serif;\; font-size:\; 20px;\; letter-spacing:\; inherit;\; color:\; black;">(c) </strong>}$45 + 15 + 36 = 45 + 36 + 15
(d) 45 × 15 × 89=15 × 89 × 45
(e) A, D, G, J, M, P

Q2: Complete the Series.
36, 46, 56, 66, 76, …, …., …..
Ans: Here from the pattern we can see that there is the addition of 10 with each successive term.
Hence, on completing the series, we get 
36, 46, 56, 66, 76, 86, 96, 106

Q3: Complete the Pattern
AB, BC, CD, DE, ….., ….., ….., ……

Ans: Here from the pattern it can be seen that each AB is followed by 1 place forward. i.e. A will become B and B will become C. So AB followed by BC then CD and so on.
Hence, the pattern will become: 
AB, BC, CD, DE, EF, FG, GH 

Q4: Look at the pattern of the number and take it forward.
1×1=1$1\times 1=1$
11×11=121$11\times 11=121$
111×111=12321$111\times 111=12321$
1111×1111=!!!!!

Ans: Look at the pattern of the number and take it forward.
1 × 1 = 1
11 × 11 = 121
111 × 111=12321
1111 x 1111 = 1234321

Q5: You will get the number in each bracket by multiplying the number on both side on the box.

Ans: You will get the number in each bracket by multiplying the number on both side on the box.

Q6: Use all of the numbers between 46 and 54 to fill in the square. 150 is the sum of each line.

Ans: Here, we will use all of the numbers between 46 and 54 to fill in the square. As 150 is the sum of each line.

Q7: What should happen next?

Ans: The correct pattern will become

Q8: What should happen next?

Ans: The correct pattern will become

Q9: What should happen next?

Ans: The correct pattern will become

Q10: Look at this pattern and guess the correct option.

Ans: The correct pattern will become option c.

Q11: Find the incorrect number in the pattern provided.
13, 26, 39, 52, 66, 78, 91, 104, 117
(a) 39
(b) 66
(c) 52
(d) 117
Ans: (b)
Here, in this question we have to find the incorrect number in the pattern provided.
13, 26, 39, 52, 66, 78, 91, 104, 117
So as per the pattern,
13 + 13 = 26
26 + 13 = 39
39 + 13 = 52
52 + 13 = 65
65 + 13 = 78
78 + 13 = 91
91 + 13 = 104
104 + 13 = 117
Therefore, 66 is the number that is wrong in the given pattern.

Q12: Find the incorrect number in the pattern provided.
ae, bf, cg, dh, ek, fj
(a) ae
(b) cg
(c) ek
(d) fj
Ans: (c)
Here, in this question we have to find the incorrect number in the pattern provided.
ae, bf, cg, dh, ek, fj
So as from the table we can see that the ek is not following the pattern.

Hence, ek is the correct answer. i.e. option (c).

Q13: Find the incorrect number in the pattern provided.
16, 25, 36, 49, 64, 81, 1000
(a) 1000
(b) 25
(c) 36
(d) 49
Ans: (a)
In this question, we need to find the incorrect number in the pattern provided.
16, 25, 36, 49, 64, 81, 1000
As,
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36
7 x 7 = 49
9 x 9 = 81
10 x 10 = 100
Therefore, 1000 is the number that is wrong in the given pattern.

Q14: Complete the Series.
a, e, …..,  o, u

Ans: In this question, we have to complete the Series.
a, e, __, o, u
If we look at the English vowels, it can be like this;
a, e , i, o, u

Q15: Complete the given pattern by filling in the next number.
December, October, August, June,......., ………
Ans: December, October, August, June, April,......, …….
Months: January, February, March, April, May, June, July, August, September, October, November, December.
Here the four months of the year have been told, on the basis of which this pattern can be made. By counting from December in reverse pattern one month is skipped.
December, October, August, June,April,February.

Q16: Complete the given pattern by filling in the next number.
A1B, C2D, E3F, G4H,........
Ans:A1B, C2D, E3F, G4H, I5J,K6L,M7N.
Here, the pattern is as following:
In 1st letter, there is the gap of one alphabet. i.e. A, C, E, G, I, K, M …
In 2nd letter, there is no gap in counting. i.e. 1, 2, 3, 4, 5, 6, 7…
In 3rd letter, there is the gap of one alphabet. i.e. B, D, F, H, J, L, N …

Therefore, the sequence will be: A1B, C2D, E3F, G4H,I5J, K6L, M7N.

Q17: Complete the given pattern by filling in the next number.
777, 666, 555, 444,..........
Ans: 777, 666, 555, 444, 333, 222,111
Here, the pattern is as following:
From 1st digit to 3rd digit, there is the gap of one digit in decreasing manner. i.e. 777, 666, 555, 444, 333, 222, 111

Therefore, the sequence will be: 777, 666, 555, 444, 333, 222, 111.

Q18: Find the missing number in the given series 13, 24, 46, 90, 178, ?.
Ans: Given series: 13, 24, 46, 90, 178, ?.
24 – 13 = 11
46 – 24 = 22
90 – 46 = 44
178 – 90 = 88
The logic used here is that the difference between two successive numbers is doubled consecutively.
So, if 88 is doubled, we get 176.
Hence, 178 + 176 = 354.
Thus, the missing term in the sequence is 354.
Therefore, the complete series is 13, 24, 46, 90, 178,354.

Q19: Find the missing number in the given series 4, 18, ___, 100, 180, 294, 448.
Ans: The given sequence is obtained as follows:
2³ − 2² = 8 − 4 = 4
3³ − 3² = 27 − 9 = 18
4³ − 4² = 64 − 16 = 48
5³ − 5² = 125 − 25 = 100
6³ − 6² = 216 − 36 =180
7³ − 7² = 343 − 49 = 294
8³ − 8² = 512 − 64 = 448
Hence, the missing number in the series is 4, 18, 48, 100, 180, 294, 448.

Q20: Complete the given pattern by filling in the next number.
ZA, YB, XC, WD,.........
Ans: ZA, YB, XC, WD, VE, UF, TG, SH
If we pay attention to the English alphabet, then we will find that the first character of this series is the alphabet starting from the back of the English,
Z, Y, X, W, V,T , S……
and the second letter starts from the beginning.
A, B, C, D, E,......