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Mensuration | Maths Olympiad Class 6 PDF Download
Q1: Shivangi purchased x packets of candies, with each packet containing 25 candies. After giving 15 candies to her brother, how many candies does she have remaining?
(a) 15x – 25
(b) 25x – 15
(c) 25x + 15
(d) x – 15
Ans: (B)
- Shivangi bought x packets of candies.
- Each packet has 25 candies, so the total number of candies is 25x.
- She gave away 15 candies to her brother.
- The remaining candies with her are calculated as 25x – 15.
Q2: Preeti walked a distance of 3x km, cycled 9y km, and took a bus for 5 km. What is the total distance she covered?
(a) (3x – 9y + 5) km
(b) (3x + 9y + 5) km
(c) (3x – 9y – 5) km
(d) (9x + 3y + 5) km
Ans: (B)
- The total distance Preeti covered is the sum of all distances: walking, cycling, and bus.
- So, we add them together: 3x (walking) + 9y (cycling) + 5 (bus).
- This gives us the formula: (3x + 9y + 5) km.
- Thus, the correct answer is (B) as it accurately represents the total distance.
Q3: Kirti sold 4c cupcakes. Her brother Dishank sold 3 more cupcakes than Kirti. What is the total number of cupcakes they sold together?
(a) c + 24
(b) 8c + 3
(c) 4c + 3
(d) 5c + 8
Ans: (B)
- Number of cupcakes sold by Kirti: 4c
- Number of cupcakes sold by Dishank: 4c + 3
- Total cupcakes sold: 4c + (4c + 3) = 8c + 3
- Thus, the total number of cupcakes they sold together is 8c + 3.
Q4: Sanjay initially possessed s eggs. After using 8 eggs for baking a cake and breaking 7 eggs, which expression represents the remaining eggs he has?
(a) 15s – 1
(b) 15 – s
(c) s – 15
(d) 1 – 15s
Ans: (C)
- Initial count: Sanjay had s eggs.
- Usage: He used 8 eggs for baking.
- Damage: 7 eggs were broken.
- Calculation: The total eggs used and broken is 8 + 7 = 15.
- Remaining: The expression for eggs left is s - 15.
Q5: Jaya’s score in Mathematics is 30 greater than two-thirds of her score in English. If her score in English is represented by x, which of the following expressions correctly represents her score in Mathematics?
(a) 2/3( x + 30)
(b) 2x / 3 + 30
(c) 2x/3 - 30
(d) 30 - 2x/3
Ans: (B)
- Jaya’s score in English is denoted as x.
- To find her score in Mathematics, we need to calculate two-thirds of her English score, which is 2x/3.
- Since her Mathematics score is 30 more than this value, we add 30 to it.
- Thus, her score in Mathematics can be expressed as 2x/3 + 30.
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FAQs on Mensuration - Maths Olympiad Class 6
| 1. What is mensuration in mathematics? |  |
Ans. Mensuration is a branch of mathematics that deals with the measurement of geometric figures and their parameters such as length, area, and volume. It involves calculating dimensions of various shapes like squares, rectangles, circles, and three-dimensional objects like cubes and cylinders.
| 2. How do you calculate the area of a rectangle? | |
Ans. To calculate the area of a rectangle, you multiply its length by its width. The formula is: Area = Length × Width. For example, if the length is 5 cm and the width is 3 cm, the area would be 5 cm × 3 cm = 15 cm².
| 3. What is the formula to find the volume of a cube? | |
Ans. The volume of a cube can be found using the formula: Volume = Side³, where "Side" is the length of one edge of the cube. If the side length is 4 cm, then the volume would be 4 cm × 4 cm × 4 cm = 64 cm³.
| 4. How do you find the circumference of a circle? | |
Ans. The circumference of a circle can be calculated using the formula: Circumference = 2 × π × Radius, where π (pi) is approximately 3.14. For example, if the radius is 7 cm, the circumference would be 2 × 3.14 × 7 cm = 43.96 cm.
| 5. What is the difference between area and perimeter? | |
Ans. Area refers to the amount of space inside a shape, measured in square units (like cm²), while perimeter is the distance around the shape, measured in linear units (like cm). For example, the area of a rectangle is calculated using Length × Width, while the perimeter is calculated using 2 × (Length + Width).
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