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Q1: Sophie is making pizza for her family. She decides to cut the pizza into a number of slices that is a prime number. She chooses 13 slices because 13 is a prime number. How many total slices of pizza will be left after Sophie and 4 family members each eat one slice?

a) 8
b) 9
c) 10
d) 11

Ans: a) 8

Explanation:
Sophie cuts the pizza into 13 slices, and there are 5 people (Sophie + 4 family members) eating one slice each.
So, 13 slices - 5 slices eaten = 8 slices remaining.
Ans: a) 8

Q2: In a parking lot, each row has a number of parking spaces. If a row has 17 spaces and there are 5 rows, how many total parking spaces are there in the parking lot?

a) 85
b) 90
c) 95
d) 100

Ans: a) 85

Explanation:
Each row has 17 parking spaces, and there are 5 rows. To find the total number of parking spaces, multiply:
17 × 5 = 85.
Thus, there are 85 total parking spaces.
Ans: a) 85

Q3: A bookshelf has 3 shelves. The first shelf has 7 books, the second shelf has 11 books, and the third shelf has 13 books. How many books are there in total on the bookshelf?

a) 31
b) 29
c) 33
d) 35

Ans: a) 31

Explanation:
To find the total number of books, add up the books on all three shelves:
7 + 11 + 13 = 31 books.
Thus, the total number of books is 31.
Ans: a) 31

Q4: A clock shows the time as 3:00 PM. How many prime numbers can you find between 3 and 12 on the clock face?

a) 3
b) 4
c) 5
d) 6

Ans: a) 3

Explanation:
Prime numbers between 3 and 12 are: 5, 7, 11.
Thus, there are 3 prime numbers between 3 and 12 on the clock face.
Ans: a) 3

Q5: At a fruit stand, there are 2 types of apples, and each basket holds a prime number of apples. One basket has 5 apples, and the other has 11 apples. How many apples are there in total?

a) 15
b) 16
c) 17
d) 18

Ans: b) 16

Explanation:
The first basket has 5 apples and the second basket has 11 apples. To find the total, add the number of apples:
5 + 11 = 16 apples.
Thus, there are 16 apples in total.
Ans: b) 16

Q6: Which of the following is the next prime number after 29?

a) 31
b) 33
c) 35
d) 37

Ans: a) 31

Explanation:
Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. The next prime number after 29 is 31.
Ans: a) 31

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FAQs on Everyday Mathematics: Prime Time - Maths Olympiad Class 6

1. What is a prime number and how can I identify one?

Ans. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. To identify a prime number, check if it can be divided evenly only by 1 and the number itself. For example, the numbers 2, 3, 5, 7, and 11 are prime because they can't be divided by any other numbers without leaving a remainder.

2. Why are prime numbers important in mathematics?

Ans. Prime numbers are fundamental in mathematics because they serve as the building blocks for all natural numbers. Every natural number greater than 1 can be expressed as a product of prime numbers, known as its prime factorization. This property is crucial for various areas in mathematics, including number theory, cryptography, and algorithms.

3. How do I find the prime factorization of a number?

Ans. To find the prime factorization of a number, start by dividing the number by the smallest prime number (which is 2) and continue dividing until you reach 1. If the number is not divisible by 2, move on to the next prime number (3, 5, 7, etc.) and repeat the process. For example, the prime factorization of 18 is 2 × 3², since 18 can be divided by 2 to give 9, which can then be divided by 3 twice.

4. What are composite numbers and how do they differ from prime numbers?

Ans. Composite numbers are natural numbers greater than 1 that have more than two positive divisors, meaning they can be divided evenly by numbers other than 1 and themselves. The main difference between prime and composite numbers is that prime numbers have exactly two distinct divisors (1 and the number itself), while composite numbers have additional divisors. For example, 4 is composite because it can be divided by 1, 2, and 4.

5. How can I use prime numbers in real-life applications?

Ans. Prime numbers have various real-life applications, particularly in fields like cryptography, which is essential for secure communication over the internet. They are also used in algorithms for computer science, coding theory, and data encryption. In everyday scenarios, prime numbers can be found in areas such as music theory, art, and even in designing structures where symmetry is important.

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