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.