Solved Examples and Worksheet for Arithmetic Patterns Involving Addition and Multiplication

Q1Complete the number pattern.
___, ___, 13, 18, 23.

A. 3 and 8
B. 4 and 10
C. 1 and 7
D. 1 and 6

Solutions
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Step: 1
The rule for the pattern is to count up each term by 5 to obtain the succeeding terms in the sequence.
Step: 2
So, the first two terms in the series are 3 and 8.
Correct Answer is :   3 and 8
Q2Find a rule for the number pattern.
7, 13, 19, 25, 31, 37, . . .
A. add 6
B. add 7
C. multiply by 6
D. divide by 4

Solutions
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Step: 1
The rule for the pattern is to count up by 6 for each succeeding term.
Correct Answer is :   add 6
Q3Identify a rule for the pattern.
1, 5, 9, 13, . . .

A. each number comes from doubling the previous number
B. each number comes from halving the previous number and then adding one
C. each number comes from doubling the previous number and then subtracting one
D. each number comes by adding 4 to the previous number

Solutions
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Step: 1
Each term in the sequence is 4 more than the previous term.
Step: 2
So, the rule is 'each number comes by adding 4 to the previous number'.
Correct Answer is :   each number comes by adding 4 to the previous number
Q4Select a rule for the pattern.
5, 10, 17, 26,. . .
A. add 7 to the first term, 8 to the second term, 5 to the third term
B. add 5 repeatedly to each term and multiply by 10
C. add 5 to the first term, 7 to the second term, 9 to the third term and so on
D. multiply each term by 5

Solutions
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Step: 1
In the pattern, 5 is added to the first term, 7 is added to the second term, 9 is added to the third term and so on to obtain their succeeding terms in the sequence.
Step: 2
So, the rule for the pattern is to add 5 to the first term, 7 to the second term, 9 to the third term and so on, repeatedly to obtain the succeeding terms in the sequence.
Correct Answer is :   add 5 to the first term, 7 to the second term, 9 to the third term and so on
Q5Find the missing numbers in the sequence.
30, 75, 120, ___, ___, 255, 300, . . .

A. 165 and 210
B. 155 and 210
C. 175 and 210
D. 165 and 220

Solutions
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Step: 1
The rule for the pattern is to count up by 45 for each succeeding term.
Step: 2
So, the missing numbers in the sequence are 165 and 210.
Correct Answer is :   165 and 210
Q6Identify the rule.
10, 20, 30, 40, 50, . . .

A. Subtract 10 from each number to get the next number.
B. Add 10 to each number to get the next number.
C. Multiply each number by 2 to get the next number.
D. Add 2 to each number to get the next number.

Solutions
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Step: 1
Each term in the in sequence is 10 more than previous term.
Step: 2
So, the rule is 'Add 10 to each number to get the next number'.
Correct Answer is :   Add 10 to each number to get the next number.
Q7Find the two numbers that complete the number pattern.
48, 51, 54, __, __

A. 51 and 54
B. 57 and 60
C. 57 and 50
D. 56 and 59

Solutions
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Step: 1
In the pattern, each number is obtained by adding 3 to the previous number.
Step: 2
So, 54 + 3 = 57,
57 + 3 = 60.
Step: 3
So, the numbers 57 and 60 complete the number pattern.
Correct Answer is :   57 and 60
Q8A coffee bag weighs 8 kg. Choose the table that gives the total weight of 6 such bags.


A. Table 4
B. Table 2
C. Table 1
D. Table 3

Solutions
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Step: 1
Each coffee bag weighs 8 kg.
Step: 2
As the number of coffee bags increases by 1, the total weight increases by 8.
Step: 3
So, Table 4 gives the total weight of 6 such bags.
Correct Answer is :   Table 4
Q9Find the next term of the pattern.
0, 8, 16, 24, ....

A. 45
B. 32
C. 36
D. 40

Solutions
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Step: 1
The sequence is obtained when 8 is added to the preceding term.
Step: 2
The next term of the pattern is 5 th term.
Step: 3
5 th term = fourth term + 8 = 24 + 8 = 32
Step: 4
The next term of the pattern is 32.
Correct Answer is :   32
Q10Complete the following table.
FeetInches
10120
20240
30360
40?


A. 460
B. 490
C. 480
D. 470

Solutions
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Step: 1
We have, 1feet = 12 inches.
Step: 2
Make a table to calculate the number of inches for 10, 20, 30 and 40 as the values for the number of feet.
Step: 3
We will get the table,
Step: 4
So, the missing number is 480.
Correct Answer is :   480
Q11Identify the table that represents the relationship between the number of wallets and boxes, if each box contains 5 wallets.

A. Table 3
B. Table 1
C. Table 4
D. Table 2

Solutions
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Step: 1
Given that a box has 5 wallets. By multiplying the number of boxes × 5, we get 10 wallets for 2 boxes.
Step: 2
Similarly, for 3 boxes we get 15 wallets and so on.
Step: 3
Therefore, Table 1 gives the correct answer.
Correct Answer is :   Table 1
Q12Complete the following table.


A. 120
B. 100
C. 115
D. 110

Solutions
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Step: 1
We have, 1yard = 3 foot.
Step: 2
Make a table to calculate the number of foots for 10, 20, 30, and 40 as the values for the number of yards.
Step: 3
We will get the table,


Step: 4
So, the missing value is 120.
Correct Answer is :   120
Q13Identify a table that correctly represents the number of Vase and the total number of flowers they have, if there are 5 flowers in each vase.


A. Table 2
B. Table 3
C. Table 4
D. Table 1

Solutions
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Step: 1
A vase has 5 flowers. By multiplying the number of vase × 5, we get 10 flowers for 2 vase.
  [2 × 5 = 10.]
Step: 2
Similarly, for 3 and 4 vases we get 15 and 20 flowers respectively.
  [3 × 5 = 15.]
[4 × 5 = 20.]
Step: 3
Therefore, Table 3 gives the correct answer.
Correct Answer is :   Table 3
Q14Each boy eats 3 slices of bread for their breakfast each day. Which table shows the total number of slices for 5 boys?


A. Table 2
B. Table 1
C. Table 4
D. Table 3

Solutions
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Step: 1
Each boy eats 3 slices of bread. By multiplying the number of boys × 3, we get 6 slices for 2 boys.
  [2 × 3 = 6.]
Step: 2
Similarly, for 5 boys we get 15 slices .
  [3 × 5 = 15.]
Step: 3
Therefore, Table 4 gives the correct answer.
Correct Answer is :   Table 4

HighSchool Math