Math Problem Statement
Solution
I see the image you uploaded with several math questions. Let's start solving some of them:
10. Simplify:
11. Evaluate:
(i) So, the answer is 2000.
(ii) So, the answer is 14.
12. Saurabh buys toothbrushes:
(i) He pays ₹43.95, and if he gives ₹50: So, he will get ₹6.05 back.
(ii) If each toothbrush costs ₹14.65, the number of toothbrushes he bought is: So, he bought 3 toothbrushes.
13. Largest square in a circle with diameter 5.2 cm:
The side of the largest square that can be inscribed in a circle is given by: So, the side length of the square is approximately 3.68 cm.
14. Ms. Gupta’s cloth:
Total cloth = 24.36 m
Used for 9 dresses =
Remaining cloth =
So, she had 5.1 m of cloth left for 3 shirts.
15. Converting km to miles:
1.6 km = 1 mile
How many miles are there in 135.28 km?
So, there are 84.55 miles in 135.28 km.
16. MCQ:
So, the correct answer is (c) 3.408.
17. MCQ:
So, the correct answer is (b) 0.225.
Would you like more details on any of these solutions?
Here are 5 related questions:
- How can you find the area of the square in question 13?
- How would you calculate the exact total cost of 5 toothbrushes at ₹14.65 each?
- What is the general formula for evaluating expressions like in question 11?
- How can you convert between different units of length in the metric and imperial systems?
- What is the quickest way to check your result in simplifications like in question 10?
Tip: Always double-check your calculations, especially when dealing with decimal numbers, to avoid rounding errors.
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Math Problem Analysis
Mathematical Concepts
Simplification
Basic arithmetic
Decimal division
Unit conversions (kilometers to miles)
Geometry (square inscribed in a circle)
Formulas
Division: a ÷ b
Conversion: 1 mile = 1.6 km
Side of square inscribed in a circle: s = d/√2
Theorems
Pythagorean Theorem (for square inscribed in a circle)
Suitable Grade Level
Grades 5-7
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