Fractions — Quiz

Q1. Arvin thinks 1/9 is greater than 1/5 because 9 is greater than 5. Beni says this is a common mistake. Which fraction is actually greater?

• A. 1/9, because 9 > 5
• B. 1/5, because sharing one roti among 5 children gives each a bigger share than sharing it among 9
• C. Both are equal
• D. Cannot be decided without a number line

Q2. Using the smaller-share rule, which is the correct comparison?

• A. 1/200 > 1/100
• B. 1/200 = 1/100
• C. 1/100 > 1/200
• D. Cannot be compared because both numerators are 1

Q3. A whole chikki is cut into 6 equal parts in two different ways, giving pieces of different shapes. The Teacher's Note confirms that these 1/6 pieces are

• A. Different in size, because the shapes differ
• B. Twice the size of each other
• C. Half the size of each other
• D. The same in size, because each is one-sixth of the same chikki

Q4. Consider the pattern: 1 time 1/2 = 1/2, 2 times 1/2 = 2/2, …, 5 times 1/2 = 5/2. What is 7 times 1/2?

• A. 7/14
• B. 1/14
• C. 7/2
• D. 14/2

Q5. Priya draws 9 pieces of 1/4 roti. The total roti she has is the same as

• A. 9/4 = 2 + 1/4
• B. 9/4 = 1 + 1/4
• C. 1/9 of a roti
• D. 9 + 1/4 rotis

Q6. Question 3 of the 'Figure it Out' asks: how many fractions lie between 0 and 1? The solution given is

• A. Exactly 9
• B. Exactly 99
• C. An uncountably large number — infinitely many
• D. Zero — there are no fractions strictly between 0 and 1

Q7. Express 9/2 as a mixed number.

• A. 9 1/2
• B. 2 1/9
• C. 3 1/2
• D. 4 1/2

Q8. Jaya's method converts a mixed number to an improper fraction. What is 3 1/4 written as an improper fraction?

• A. 4/13
• B. 13/4
• C. 12/4
• D. 31/4

Q9. Using the fraction-wall idea, which set of fractions is a set of equivalent fractions?

• A. 3/6, 4/8, 5/10
• B. 1/2, 1/3, 1/4
• C. 2/3, 3/4, 4/5
• D. 1/2, 2/3, 3/4

Q10. Express the fraction 16/20 in its lowest terms.

• A. 8/10
• B. 16/20
• C. 4/5
• D. 2/3

Q11. Expresses 36/60 in lowest terms step by step. What is the final answer?

• A. 18/30
• B. 9/15
• C. 3/5
• D. 6/10

Q12. A two-step rule is given to compare two fractions. The first step is to

• A. Convert them to equivalent fractions with the same denominator
• B. Subtract the smaller from the bigger
• C. Add the two fractions
• D. Convert each to a mixed number

Q13. Compare 4/5 and 7/9. Which is greater?

• A. 7/9, because 7 + 9 > 4 + 5
• B. Cannot be decided without a number line
• C. Both are equal, because 4/5 = 7/9
• D. 4/5, because 36/45 > 35/45

Q14. Using Brahmagupta's method, what is 1/4 + 1/3?

• A. 2/7
• B. 1/12
• C. 7/12
• D. 2/12

Q15. Rahim mixes 2/3 litre of yellow paint with 3/4 litre of blue paint to make green paint. What is the volume of green paint he has made?

• A. 5/7 litre
• B. 5/12 litre
• C. 17/12 litre
• D. 6/12 litre