Maths Quiz For School Students

1. What is the greatest common factor of 24 and 36?

6

8

18

12

The greatest common factor (GCF) is the largest number that divides both numbers without leaving a remainder. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The highest number that appears in both lists is 12, which makes it the greatest common factor.

Explanation

The greatest common factor (GCF) is the largest number that divides both numbers without leaving a remainder. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The highest number that appears in both lists is 12, which makes it the greatest common factor.

2. Simplify: 45 divided by 9

9

6

5

3

Division is the process of determining how many times one number is contained within another. In this case, 45 divided by 9 equals 5 because 9 fits into 45 exactly 5 times. To verify: 9 × 5 = 45, confirming the answer.

Explanation

Division is the process of determining how many times one number is contained within another. In this case, 45 divided by 9 equals 5 because 9 fits into 45 exactly 5 times. To verify: 9 × 5 = 45, confirming the answer.

3. What is the area of a rectangle with length 10 units and width 5 units?

50 square units

15 square units

25 square units

30 square units

The area of a rectangle is calculated by multiplying the length by the width. In this case, the length is 10 units and the width is 5 units. The formula for the area is length × width, so: 10 × 5 = 50 square units. This tells us the total space inside the rectangle.

Explanation

The area of a rectangle is calculated by multiplying the length by the width. In this case, the length is 10 units and the width is 5 units. The formula for the area is length × width, so: 10 × 5 = 50 square units. This tells us the total space inside the rectangle.

4. What is the value of 8 times 7?

54

49

56

63

To calculate 8 times 7, you simply multiply the two numbers together: 8 × 7 = 56. Multiplication is repeated addition, so adding 8 seven times (8 + 8 + 8 + 8 + 8 + 8 + 8) will also give 56.

Explanation

To calculate 8 times 7, you simply multiply the two numbers together: 8 × 7 = 56. Multiplication is repeated addition, so adding 8 seven times (8 + 8 + 8 + 8 + 8 + 8 + 8) will also give 56.

5. Find the value of x if 3x equals 21

6

7

8

9

To find the value of x, you need to isolate the variable (x) on one side of the equation. In this case, 3x = 21. Divide both sides by 3 to solve for x: 21 ÷ 3 = 7. So, the value of x is 7. You can verify this by substituting x back into the original equation: 3 × 7 = 21.

Explanation

To find the value of x, you need to isolate the variable (x) on one side of the equation. In this case, 3x = 21. Divide both sides by 3 to solve for x: 21 ÷ 3 = 7. So, the value of x is 7. You can verify this by substituting x back into the original equation: 3 × 7 = 21.

6. What is the perimeter of a square with side length of 4 units?

12 units

16 units

20 units

24 units

The perimeter of a square is calculated by adding up the lengths of all four sides. Since all sides of a square are equal, you can simply multiply the length of one side by 4. For a square with a side length of 4 units, the perimeter is 4 × 4 = 16 units.

Explanation

The perimeter of a square is calculated by adding up the lengths of all four sides. Since all sides of a square are equal, you can simply multiply the length of one side by 4. For a square with a side length of 4 units, the perimeter is 4 × 4 = 16 units.

7. What is the least common multiple of 6 and 8?

16

18

24

28

The least common multiple (LCM) is the smallest number that is a multiple of both 6 and 8. The multiples of 6 are 6, 12, 18, 24, 30, and so on. The multiples of 8 are 8, 16, 24, 32, and so on. The smallest number that both lists share is 24, so the LCM of 6 and 8 is 24.

Explanation

The least common multiple (LCM) is the smallest number that is a multiple of both 6 and 8. The multiples of 6 are 6, 12, 18, 24, 30, and so on. The multiples of 8 are 8, 16, 24, 32, and so on. The smallest number that both lists share is 24, so the LCM of 6 and 8 is 24.

8. What is 25 percent of 200?

25

50

75

100

To find 25 percent of 200, first convert 25 percent into a decimal, which is 0.25. Then, multiply 200 by 0.25: 200 × 0.25 = 50. This means 25 percent of 200 equals 50. Another way to think of it is dividing 200 into four equal parts (because 25 percent is one-quarter of 100), and each part is 50.

Explanation

To find 25 percent of 200, first convert 25 percent into a decimal, which is 0.25. Then, multiply 200 by 0.25: 200 × 0.25 = 50. This means 25 percent of 200 equals 50. Another way to think of it is dividing 200 into four equal parts (because 25 percent is one-quarter of 100), and each part is 50.

9. Simplify the expression: 3(2 + 4) - 5

10

11

12

13

To simplify the expression, follow the order of operations:

First, solve the expression inside the parentheses: 2 + 4 = 6.

Next, multiply 3 by 6: 3 × 6 = 18.

Finally, subtract 5 from 18: 18 - 5 = 13. The simplified result of the expression is 13.

Explanation

To simplify the expression, follow the order of operations:

First, solve the expression inside the parentheses: 2 + 4 = 6.

Next, multiply 3 by 6: 3 × 6 = 18.

Finally, subtract 5 from 18: 18 - 5 = 13. The simplified result of the expression is 13.

10. Solve for x: 4x + 7 = 31

5

6

8

9

To solve for x, first isolate the term with the variable by subtracting 7 from both sides of the equation: 4x + 7 - 7 = 31 - 7, which simplifies to 4x = 24. Next, divide both sides by 4: 24 ÷ 4 = 6. Therefore, x = 6. You can verify the solution by substituting x back into the original equation: 4 × 6 + 7 = 31.

Explanation

To solve for x, first isolate the term with the variable by subtracting 7 from both sides of the equation: 4x + 7 - 7 = 31 - 7, which simplifies to 4x = 24. Next, divide both sides by 4: 24 ÷ 4 = 6. Therefore, x = 6. You can verify the solution by substituting x back into the original equation: 4 × 6 + 7 = 31.