Numerical Expressions Quiz

Yazan and Umar are playing a game of squares. They are trying to understand the concept of perfect squares. Can you help them understand what a perfect square is?

• A number that Yazan gets by squaring a number

• A number that Umar gets by cubing a number

• A number that Yazan gets by multiplying a number by itself

• A number that Umar gets by multiplying a number by itself three times

Yazan and Umar are working on a math project together. They are trying to calculate the square root of a number. Can the number under the square root (the radicand) be negative?

• Yes, Yazan and Umar can use a negative number as the radicand

• No, Yazan and Umar cannot use a negative number as the radicand

• It depends on the value of the square root Yazan and Umar are trying to calculate

• None of the above

Nabeel is baking a pie for a school event and he wants to measure the length of the crust. He knows that the symbol π represents what?

• The ratio of the length of the crust (circumference) of the pie to its diameter

• The ratio of the area of the pie to its radius

• The ratio of the diameter of the pie to its crust (circumference)

• The ratio of the radius of the pie to its area

Abyda and Breonn are studying mathematics together. They came across a term 'negative exponent law' in their textbook. Can you explain what it is to them?

• It's like when Abyda wants to raise an expression with an exponent to another exponent, she should keep the base the same and multiply the exponents

• It's like when Breonn wants to find for every number “a” with negative exponents “-n” (i.e.) a^-n, take the reciprocal of the base number and multiply the value according to the value of the exponent number.

• It's like when Abyda and Breonn want to multiply factors that have the same base, they should keep the base the same and add the exponents

• It's like when Abyda wants to raise a product to an exponent, she should raise each factor to the exponent

Haadiyah and Yazan are studying mathematics together and they came across a concept while solving problems. What is the rule they should follow when they multiply factors that have the same base?

• When they raise an expression with an exponent to another exponent, they should keep the base the same and multiply the exponents

• When they divide expressions that have the same base, they should keep the base the same and subtract the exponents

• When they multiply factors that have the same base, they should keep the base the same and add the exponents

• When they raise a product to an exponent, they should raise each factor to the exponent

Haadiyah is helping her younger brother, Nabeel, with his math homework. They encounter a problem where they need to divide two expressions with the same base. What rule should they use?

• To raise an expression with an exponent to another exponent, keep the base the same and multiply the exponents

• To divide expressions that have the same base, keep the base the same and subtract the exponents

• To multiply factors that have the same base, keep the base the same and add the exponents

• To raise a quotient to an exponent, raise the numerator and denominator to the exponent

Abyda is helping her friend, Nabeel, with his math homework. Nabeel is confused about the order of operations. How should Abyda explain it to him?

• Abyda should tell him: 'The order in which computations are performed is: first work within grouping symbols, then simplify terms with exponents, next perform multiplication and division from left to right, and finally perform addition and subtraction from left to right.'

• Abyda should tell him: 'The order in which computations are performed is: first perform addition and subtraction from left to right, then perform multiplication and division from left to right, and finally work within grouping symbols.'

• Abyda should tell him: 'The order in which computations are performed is: first perform multiplication and division from left to right, then perform addition and subtraction from left to right, and finally work within grouping symbols.'

• Abyda should tell him: 'The order in which computations are performed is: first work within grouping symbols, then perform addition and subtraction from left to right, next perform multiplication and division from left to right, and finally simplify terms with exponents.'

Umar and Abyda are scientists working on a project that often requires them to deal with very large or very small numbers. Which method do they use to simplify their calculations?

• A method of writing very large or very small numbers using exponents in which a number is expressed as the product of a power of 10 and a number that is between 1 and 10

• A method of writing numbers using radicals and square roots

• A method of writing numbers using fractions and decimals

• A method of writing numbers using logarithms and exponential functions

Salma and Zayn are learning about the properties of exponents in their math class. What is the rule they should follow when they raise a power to another power?

• When they raise a power to another power, they should keep the base the same and add the exponents

• When they raise a power to another power, they should keep the base the same and subtract the exponents

• When they raise a power to another power, they should keep the base the same and multiply the exponents

• When they raise a power to another power, they should raise each factor to the exponent

Yazan and Umar are studying geometry. They are trying to understand the concept of a right angle. Can you help them understand what a right angle is?

• An angle that Yazan measures to be 90 degrees

• An angle that Umar measures to be more than 90 degrees

• An angle that Yazan measures to be less than 90 degrees

• An angle that Umar measures to be 180 degrees