Squares are numbers obtained by multiplying a number by itself, and square roots are the reverse operation of finding which number that was squared. These concepts are used in geometry, area calculations, and solving quadratic equations. Understanding squares and square roots helps students work with measurements and solve problems involving area and distances. These Square and Square Roots Grade 8 MCQs provide practice with perfect squares and square root calculations. These 10 MCQs will allow students to assess their knowledge of squares, square roots, and their properties.
Solve the following expression: (√196 + √1.96 + √0.0196 ) × √100000000
Answer: (c) 155400
A positive number is multiplied by half of itself and then 32 is added to the product. If the final result is 130, then find the original positive number.
Answer: (b) 14
Find the value of x: √1369 + √(6.5625 + x) = 37.25 + √121
Answer: (a) 120
Find the value of (a2 + b2 + ab) if a = (√(7 + 4√3)) and b = (√(7 - 4√3))
Answer: (c) 15
The areas of two square fields A1 and A2 are 716 m2 and 960 m2 respectively. However, the area of A1 increased by 25% and the area of A2 decreased by 10%. After these changes, find how much longer the side of the modified A2 is compared to the side of modified A1.
Answer: (b) 0.48 m
A certain number of men, n, visited a hotel. Each man spent an amount of money equivalent to one-fourth of the total number of men who visited.The total bill paid by all the men was 20,449. Additionally, if the amount each man spent were to be increased by 50% and the total bill were divided equally among all the men, the new total amount paid would have been 1.5 times the original amount. Find the number of men n who visited the hotel.
Answer: (a) 286
Read the passage and answer the following question: An architect is designing a unique garden that consists of multiple smaller square-shaped plots. The total area of the garden is 12,500 square meters. The garden is to be divided into two sections: a flower section and a lawn section. The flower section will consist of 25 identical smaller square plots, while the lawn section will be composed of 16 identical smaller square plots. The side length of each square plot in the flower section is 10% longer than the side length of each square plot in the lawn section. The combined area of all the plots in the flower section is 1,000 square meters more than the combined area of all the plots in the lawn section. How much more area does the combined flower section have compared to the combined lawn section if the cost of 1 m2 = $6.02?
Answer: (d) $6120
Read the passage and answer the following question: In a school auditorium, 1152 students were assembled in a rectangular formation for a special event. The arrangement was such that there were n rows and n/2 columns. Each student was seated in a unique position within this grid, where the number of students in each row was the same as the number of columns. Additionally, the total number of students in each row was twice the number of students in each column plus 10. To better understand the arrangement, we need to analyze the grid further. Determine the number of rows n and the number of columns n/2 in the grid.
Answer: (d) 48, 24
Read the passage and answer the following question: In a school auditorium, 1152 students were assembled in a rectangular formation for a special event. The arrangement was such that there were n rows and n/2 columns. Each student was seated in a unique position within this grid, where the number of students in each row was the same as the number of columns. Additionally, the total number of students in each row was twice the number of students in each column plus 10. To better understand the arrangement, we need to analyse the grid further. Calculate the number of students seated in each row and each column.
Answer: (b) 24, 7
Read the passage and answer the following question: In a school auditorium, 1152 students were assembled in a rectangular formation for a special event. The arrangement was such that there were n rows and n/2 columns. Each student was seated in a unique position within this grid, where the number of students in each row was the same as the number of columns. Additionally, the total number of students in each row was twice the number of students in each column plus 10. To better understand the arrangement, we need to analyse the grid further. If each student were to be reassigned so that there were 36 rows and an equal number of students in each row and column, how many students would be in each row under this new arrangement?
Answer: (d) 32
| 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 |
