Arithmetic Questions and solutions are given here contain various problems on numbers and simplification of numerical expressions. Practising these solved questions of arithmetic will help you boost problem-solving skills and enhance your speed of working with numerical simplification problems. As we know, basic arithmetic questions involve simple addition/subtraction/multiplication/division problems. Let’s solve problems in arithmetic here in this article.
What is arithmetic?
In mathematics, arithmetic is the act of working with numbers, which means performing various operations such as addition, subtraction, multiplication, and division. And these operations are referred to as arithmetic operations. Also, we use the BODMAS rule to solve arithmetic questions accurately.
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Arithmetic Questions and Answers
1. The total age of three kids in a family is 27 years. What will be the total of their ages after three years?
Solution:
Given,
Total age of three kids = 27 years
After three years, the age of each kid will increase by 3.
So, the total age after three years = 27 + 3 × 3
= 27 + 9
= 36
Therefore, the total age of three kids after three years will be 36 years.
2. Find the product of all the numbers present on the calculator pad.
Solution:
Numbers on the calculator pad = 0,1, 2, 3, 4, 5, 6, 7, 8, 9
Product of all these numbers = 0 × 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 = 0 {since the product of any number with 0 is also 0)
3. Jessi ran 12 laps every day for two weeks. How many laps did she run in all?
Solution:
Number of laps ran by Jessi in a day = 12
Number of day = 2 weeks = 2 × 7 days = 14 days
Total laps run by Jessi in 2 weeks = 12 × 14 = 168
4. Simplify: 133 – 19 × 2 + 15
Solution:
133 – 19 × 2 + 15
= 133 – 38 + 15
= 148 – 38
= 110
Therefore, 133 – 19 × 2 + 15 = 110.
5. Find the next term of the arithmetic sequence 177, 173, 169, 165,…
Solution:
Given arithmetic sequence is:
177, 173, 169, 165,…
Here, 173 – 177 = -4
169 – 173 = -4
165 – 169 = -4
So, the next term = 165 – 4 = 161
6. Kamal’s annual income is Rs. 288000. His annual savings amount to Rs. 36000. What is his total yearly expenditure?
Solution:
Given,
The annual income of Kamal = Rs. 288000
Annual savings = Rs. 36000
Total yearly expenditure of Kamal = Rs. 288000 – Rs. 36000 = Rs. 252000
7. Find the value of 45 ÷ 9 × 3 + 15 – 6
Solution:
45 ÷ 9 × 3 + 15 – 6
= 5 × 3 + 15 – 6
= 15 + 15 – 6
= 30 – 6
= 24
Hence, the value of 45 ÷ 9 × 3 + 15 – 6 is 24.
8. Simplify the numerical expression: [36 ÷ (-9)] ÷ [(-24) ÷ 6]
Solution:
[36 ÷ (-9)] ÷ [(-24) ÷ 6]
This can be written as:
= (36/-9) ÷ (-24/6)
= (-4) ÷ (-4)
= -4/-4
= 4/4
= 1
Thus, [36 ÷ (-9)] ÷ [(-24) ÷ 6] = 1.
9. Find the missing number in the following:
7 – 24 ÷ 8 × m + 6 = 1
Solution:
7 – 24 ÷ 8 × m + 6 = 1
7 – (24/8) × m + 6 = 1
7 – 3 × m + 6 = 1
13 – 3 × m = 1
⇒ 3 × m = 13 – 1
⇒ 3 × m = 12
⇒ m = 12/3
⇒ m = 4
Therefore, the missing number is 4.
10. Mehak bought 96 toys priced equally for Rs. 12960. The amount of Rs. 1015 is still left with him. Find the cost of each toy and the amount he had.
Solution:
Given,
Number of toys Mehak bought = 96 toys
Cost of 96 toys = 12960
Cost of one toy = 12960/96 = 135
Amount left with him = 1015
Amount he gave = 12960
Amount he had initially = 12960 + 1015 = 13975
Thus, the cost of each toy was Rs. 135, and he had the amount of Rs. 13975.
Practice Questions on Arithmetic
- Simplify: 19 × 8 + 25 − 2 ÷ (44 − 2)
- Find the value of 4 + 64 × (30 ÷ 5).
- The cost of one apple is Rs. 24. Find the cost of 15 such apples.
- A shoe factory manufactured 70,000 shoes in 60 days. How many shoes did it manufacture per day?
- A chicken pen held 7 chickens. Each chicken lays 5 eggs a day. How many eggs would they get altogether after 32 days?
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