Maths Pop Up Quiz

1) To square a number, I must multiply the number by itself.

True

False

The statement is true because squaring a number means multiplying the number by itself. For example, if we square the number 2, we get 2 x 2 = 4. So, in order to square any number, we need to multiply it by itself.

Explanation

The statement is true because squaring a number means multiplying the number by itself. For example, if we square the number 2, we get 2 x 2 = 4. So, in order to square any number, we need to multiply it by itself.

2) A composite number has more than two factors.

True

False

A composite number is a positive integer that has more than two distinct positive divisors. This means that a composite number can be divided evenly by more than just 1 and itself. For example, the number 6 is a composite number because it can be divided evenly by 1, 2, 3, and 6. Therefore, the statement "A composite number has more than two factors" is true.

Explanation

A composite number is a positive integer that has more than two distinct positive divisors. This means that a composite number can be divided evenly by more than just 1 and itself. For example, the number 6 is a composite number because it can be divided evenly by 1, 2, 3, and 6. Therefore, the statement "A composite number has more than two factors" is true.

3) All prime numbers are odd.

True

False

The statement is false because not all prime numbers are odd. The only even prime number is 2. All other prime numbers are odd.

Explanation

The statement is false because not all prime numbers are odd. The only even prime number is 2. All other prime numbers are odd.

4) Average is sum divided by number.

True

False

The statement is true because the average of a set of numbers is calculated by summing all the numbers together and then dividing that sum by the total number of values in the set. This is a fundamental concept in mathematics and statistics.

Explanation

The statement is true because the average of a set of numbers is calculated by summing all the numbers together and then dividing that sum by the total number of values in the set. This is a fundamental concept in mathematics and statistics.

5) The number 9 has one prime factor.

True

False

A prime factor is a prime number that divides another number evenly without leaving a remainder. The number 9 can be expressed as 3 x 3, where both factors are prime numbers. Therefore, the statement that the number 9 has one prime factor is true.

Explanation

A prime factor is a prime number that divides another number evenly without leaving a remainder. The number 9 can be expressed as 3 x 3, where both factors are prime numbers. Therefore, the statement that the number 9 has one prime factor is true.

6) A hexagon has 5 angles.

True

False

A hexagon has 6 angles, not 5. Each angle in a regular hexagon measures 120 degrees, so the total sum of all angles in a hexagon is 720 degrees. Therefore, the statement that a hexagon has 5 angles is false.

Explanation

A hexagon has 6 angles, not 5. Each angle in a regular hexagon measures 120 degrees, so the total sum of all angles in a hexagon is 720 degrees. Therefore, the statement that a hexagon has 5 angles is false.

7) 27 is a prime number.

True

False

A prime number is a number that is only divisible by 1 and itself. However, 27 is divisible by 1, 3, 9, and 27, so it is not a prime number. Therefore, the correct answer is False.

Explanation

A prime number is a number that is only divisible by 1 and itself. However, 27 is divisible by 1, 3, 9, and 27, so it is not a prime number. Therefore, the correct answer is False.

8) To find the product of number, We must divide.

True

False

This statement is incorrect. To find the product of numbers, we must multiply them, not divide. Division is used to find the quotient or the result of dividing one number by another.

Explanation

This statement is incorrect. To find the product of numbers, we must multiply them, not divide. Division is used to find the quotient or the result of dividing one number by another.

9) The area of a square whose perimeter is 36 cm is 81 square cm.

True

False

The perimeter of a square is the sum of all its sides. In this case, the perimeter is 36 cm. Since a square has four equal sides, each side of the square would be 36 cm divided by 4, which is 9 cm. The area of a square is calculated by multiplying the length of one side by itself. Therefore, the area of this square would be 9 cm multiplied by 9 cm, which equals 81 square cm. Hence, the statement is true.

Explanation

The perimeter of a square is the sum of all its sides. In this case, the perimeter is 36 cm. Since a square has four equal sides, each side of the square would be 36 cm divided by 4, which is 9 cm. The area of a square is calculated by multiplying the length of one side by itself. Therefore, the area of this square would be 9 cm multiplied by 9 cm, which equals 81 square cm. Hence, the statement is true.

10) All quadrilateral have four equal sides.

True

False

The statement "All quadrilaterals have four equal sides" is false. Quadrilaterals can have sides of different lengths. Some examples of quadrilaterals with unequal sides include rectangles, squares, parallelograms, and trapezoids.

Explanation

The statement "All quadrilaterals have four equal sides" is false. Quadrilaterals can have sides of different lengths. Some examples of quadrilaterals with unequal sides include rectangles, squares, parallelograms, and trapezoids.