Rational numbers are numbers that can be written as fractions where both the numerator and denominator are integers, and the denominator is not zero. They include whole numbers, fractions, and decimals that terminate or repeat. Understanding rational numbers expands the number system and helps students perform operations with greater flexibility. This Rational Number Grade 8 quiz assesses students' ability to work with rational numbers and their properties. By attempting these 10 MCQs, students can check their knowledge of rational numbers and operations involving them.
Find the square root of the given expression.
Answer: (a) 65/12
Find the LCM and HCF of the given rational numbers: 22⁄5, 31⁄5, 13⁄15
Answer: (b) 144/5, 2/15
The tennis team called Seekers won 21 of their 30 matches. If 2/3 of the wins were won by more than 10 games, what rational of all matches were won by more than 10 games?
Answer: (c) 7/15
One-fourth of a group of people are men. If the number of women is 300 more than men, find the total number of people.
Answer: (b) 600
A piece of wire is cut into two parts such that the ratio of the lengths of the two parts is 7 : 3. If the total length of the wire is 25/2 meters, Find the product of both the parts.
Answer: (b) 75/2
A quarterly telephone bill includes $19.15 rental plus 4.7 for each dialled unit. Tax is added at 1/5th of the total amount. What is the total bill for Anna, who used 917 dialled calls?
Answer: (d) $5194.86
A man initially sold four-sixths of his total rice stock plus an additional 100 kg. Subsequently, he sold half of what was left along with another 100 kg. If he has 150 kg of rice remaining, what was the original total amount of rice he had?
Answer: (b) 1800 kg
A scientist is mixing two solutions. The first solution contains 2/3 of a chemical, and the second solution contains 5/7 of the same chemical. However, the total volume of the mixture must be 14 liters. Additionally, the scientist has a restriction that the volume of the first solution used is twice the volume of the second solution. Find the total amount of chemical in the mixture.
Answer: (d) 86/9
Read the passage carefully and answer the following question: A local community centre is organising a series of workshops and activities over a period of 3 months. The budget for these activities is divided into several categories: equipment, staffing, and materials. The total budget is $15,000. The community centre decides to allocate 1/4 of the budget to equipment, 1/3 of the remaining budget to staffing and the rest to materials. At the end of the first month, the community centre has spent 5/8 of the allocated equipment budget. By the end of the second month, 2/5 of the staffing budget has been used. The centre plans to use the remaining materials budget to purchase additional supplies. Calculate the amount allocated to equipment and staffing.
Answer: (c) $3750, $3750
Read the passage and answer the following question: The city of Numeroville is organizing a community garden project where different neighborhoods are collaborating to plant various sections of the garden. The city has allocated a rectangular piece of land that is 5/8 acres in area. The land is divided into smaller sections for different groups to plant their crops. The Northside, Southside, Eastside, and Westside communities are given 1/4, 3/10, 1/5, and 1/6. If the Northside and Westside communities decide to redistribute half of their allocated land equally to the Southside and Eastside communities, calculate the new areas (in square feet) for the Southside and Eastside communities. How does this redistribution affect the difference in area between Southside and Eastside?
Answer: (a) 2722.5 square feet
| Topic | Quiz |
|---|---|
| Algebraic Expressions and Identities | Quiz on Algebraic Expressions and Identities |
| Comparing Quantities | Quiz on Comparing Quantities |
| Cubes and Cube Roots | Quiz on Cubes and Cube Roots |
| Data Handling | Quiz on Data Handling |
| Direct and Indirect Proportion | Quiz on Direct and Indirect Proportion |
| Exponents and Powers | Quiz on Exponents and Powers |
| Factorisation | Quiz on Factorisation |
| Linear Equations in One and Two Variable | Quiz on Linear Equations in One and Two Variable |
| Mensuration | Quiz on Mensuration |
| Probability | Quiz on Probability |
| Rational Numbers | Quiz on Rational Numbers |
| Squares and Square Roots | Quiz on Squares and Square Roots |
| Understanding Quadrilaterals | Quiz on Understanding Quadrilaterals |
