Mastering Number Systems and Fractions

Which of the following statements accurately describes the characteristics of real numbers?

• Real numbers can only be positive.

• Real numbers encompass both rational and irrational numbers, and they can be represented on a number line.

• Real numbers are exclusively fractions.

• Real numbers do not include decimals.

GOKUL and DAVID are sharing a pizza. GOKUL eats 3/4 of the pizza while DAVID eats 2/5 of the pizza. How much pizza did they eat in total?

• 23/20

• 7/20

• 1/2

• 9/10

What is the divisibility rule for 3?

• A number is divisible by 3 if it is even.

• A number is divisible by 3 if the product of its digits is divisible by 3.

• A number is divisible by 3 if the sum of its digits is divisible by 3.

• A number is divisible by 3 if it ends in 0 or 5.

Prathap and Asher have 24 and 36 apples respectively. Find the HCF of their apples.

• 18

• 12

• 6

• 24

GOKUL and PRATHAP are trying to find the least common multiple (LCM) of 8 and 12 for their math project.

• 20

• 30

• 16

• 24

If ASHER is 20 years old now, how old will he be in 5 years?

• 22

• 15

• 25

• 30

Asher and David are discussing the set of rational numbers between 1 and 2. Can you help them identify the correct options?

• 0.5

• 2.5

• 3/4

• Any rational number in the form of a/b where 1 < a/b < 2, such as 1.1, 1.25, 1.5, 1.75, 3/2, 7/5.

Subtract: 5/6 - 1/3.

• 3/6

• 1/2

• 1/3

• 2/3

During a math class, PRATHAP is trying to remember the divisibility rule for 5. Can you help him?

• A number is divisible by 5 if its last digit is 0 or 5.

• A number is divisible by 5 if its last digit is 2 or 3.

• A number is divisible by 5 if it is even.

• A number is divisible by 5 if the sum of its digits is 5.

John and David are siblings whose ages are in the ratio 3:4. If David, the older sibling, is 28 years old, how old is John?

• 18

• 21

• 30

• 24