Maths Quiz For Class 4 With Answers

1. A box has 120 marbles. If 3 friends share them equally, how many marbles does each friend get?

30

40

45

50

To determine how many marbles each friend gets, divide the total number of marbles by the number of friends. The total is 120 marbles, and there are 3 friends. Performing the division: 120 ÷ 3 = 40. Each friend will get 40 marbles. This calculation ensures an equal distribution of marbles without any remainder. Checking the answer, multiplying 40 by 3 gives 120, confirming correctness. Division is a crucial mathematical operation for fair sharing, and this problem demonstrates how large numbers can be evenly divided among smaller groups using basic arithmetic principles.

Explanation

To determine how many marbles each friend gets, divide the total number of marbles by the number of friends. The total is 120 marbles, and there are 3 friends. Performing the division: 120 ÷ 3 = 40. Each friend will get 40 marbles. This calculation ensures an equal distribution of marbles without any remainder. Checking the answer, multiplying 40 by 3 gives 120, confirming correctness. Division is a crucial mathematical operation for fair sharing, and this problem demonstrates how large numbers can be evenly divided among smaller groups using basic arithmetic principles.

2. What is the Roman numeral for 18?

XXVIII

XVIII

IVIII

VVVIII

The Roman numeral for 18 is XVIII. Roman numerals are represented by combinations of letters from the Latin alphabet, primarily I, V, X, L, C, D, and M. To form the numeral for 18, 'X' (which stands for 10) is followed by 'VIII' (which stands for 8). When these values are added together—10 + 8—you get 18. This numeral system does not use repetitive or consecutive characters that would sum negatively when placed before larger values, except in specific cases (such as IV for 4 or IX for 9), thus XVIII is the correct notation for 18.

Explanation

The Roman numeral for 18 is XVIII. Roman numerals are represented by combinations of letters from the Latin alphabet, primarily I, V, X, L, C, D, and M. To form the numeral for 18, 'X' (which stands for 10) is followed by 'VIII' (which stands for 8). When these values are added together—10 + 8—you get 18. This numeral system does not use repetitive or consecutive characters that would sum negatively when placed before larger values, except in specific cases (such as IV for 4 or IX for 9), thus XVIII is the correct notation for 18.

3. A farmer has 7 fields. If each field has 24 apple trees, how many trees does he have in total?

128

148

168

188

The total number of apple trees can be found by multiplying the number of fields by the number of trees in each field. The farmer has 7 fields, and each field contains 24 trees. Performing the multiplication: 7 × 24 = 168. Thus, the total number of apple trees is 168. To verify, breaking it into parts: 7 × (20 + 4) = (7 × 20) + (7 × 4) = 140 + 28 = 168. Multiplication is a powerful tool for solving problems involving repeated groups, as shown in this calculation.

Explanation

The total number of apple trees can be found by multiplying the number of fields by the number of trees in each field. The farmer has 7 fields, and each field contains 24 trees. Performing the multiplication: 7 × 24 = 168. Thus, the total number of apple trees is 168. To verify, breaking it into parts: 7 × (20 + 4) = (7 × 20) + (7 × 4) = 140 + 28 = 168. Multiplication is a powerful tool for solving problems involving repeated groups, as shown in this calculation.

4. A shopkeeper sells 5 packs of pens, each containing 12 pens. If he sells 3 more pens separately, how many pens did he sell in total?

55

63

67

72

The shopkeeper sells 5 packs of pens, each containing 12 pens. First, calculate the total from the packs: 5 × 12 = 60 pens. Additionally, he sells 3 more pens separately. Adding this to the total: 60 + 3 = 63 pens. Verifying by breaking it into parts: (5 × 10) + (5 × 2) + 3 = 50 + 10 + 3 = 63. This ensures accuracy in the final count. Such multiplication and addition problems are commonly encountered in business and daily life, reinforcing fundamental arithmetic skills.

Explanation

The shopkeeper sells 5 packs of pens, each containing 12 pens. First, calculate the total from the packs: 5 × 12 = 60 pens. Additionally, he sells 3 more pens separately. Adding this to the total: 60 + 3 = 63 pens. Verifying by breaking it into parts: (5 × 10) + (5 × 2) + 3 = 50 + 10 + 3 = 63. This ensures accuracy in the final count. Such multiplication and addition problems are commonly encountered in business and daily life, reinforcing fundamental arithmetic skills.

5. If a train travels 60 miles in one hour, how far will it travel in 4 hours and 30 minutes?

260 miles

270 miles

280 miles

290 miles

The train travels 60 miles per hour, and we need to determine the total distance for 4 hours and 30 minutes. First, calculate the distance for 4 hours: 60 × 4 = 240 miles. Then, calculate the distance for 30 minutes, which is half an hour: (60 ÷ 2) = 30 miles. Adding both results: 240 + 30 = 270 miles. This ensures that both whole hours and fractional hours are properly accounted for. Such calculations are essential for travel planning and understanding speed, time, and distance relationships.

Explanation

The train travels 60 miles per hour, and we need to determine the total distance for 4 hours and 30 minutes. First, calculate the distance for 4 hours: 60 × 4 = 240 miles. Then, calculate the distance for 30 minutes, which is half an hour: (60 ÷ 2) = 30 miles. Adding both results: 240 + 30 = 270 miles. This ensures that both whole hours and fractional hours are properly accounted for. Such calculations are essential for travel planning and understanding speed, time, and distance relationships.

6. What is the smallest 4-digit number formed using the digits 0, 3, 5, and 6?

3506

6530

6035

3056

To find the smallest 4-digit number using the digits 0, 3, 5, and 6, we need to consider the place values:

Thousand's place: Since it's a 4-digit number, we cannot start with 0, so the smallest possible digit for the thousand's place is 3.

Remaining digits: After placing 3 in the thousand's place, the remaining digits are 0, 5, and 6.

Ordering for smallest number: Arrange the remaining digits in ascending order after 3, which would be 0, 5, and 6.

Final number: Combining these, the smallest number is 3056.

Thus, the smallest 4-digit number you can form with the digits 0, 3, 5, and 6 is: 3056

Explanation

To find the smallest 4-digit number using the digits 0, 3, 5, and 6, we need to consider the place values:

Thousand's place: Since it's a 4-digit number, we cannot start with 0, so the smallest possible digit for the thousand's place is 3.

Remaining digits: After placing 3 in the thousand's place, the remaining digits are 0, 5, and 6.

Ordering for smallest number: Arrange the remaining digits in ascending order after 3, which would be 0, 5, and 6.

Final number: Combining these, the smallest number is 3056.

Thus, the smallest 4-digit number you can form with the digits 0, 3, 5, and 6 is: 3056

7. What is the predecessor of the smallest 5-digit number?

9999

99999

10001

100001

The smallest 5-digit number is 10000. The predecessor of a number is the number that comes immediately before it. Therefore, the predecessor of 10000 is 9999. This number, 9999, is the largest 4-digit number and directly precedes the smallest 5-digit number, completing the transition from four digits to five.

Explanation

The smallest 5-digit number is 10000. The predecessor of a number is the number that comes immediately before it. Therefore, the predecessor of 10000 is 9999. This number, 9999, is the largest 4-digit number and directly precedes the smallest 5-digit number, completing the transition from four digits to five.

8. What is the sum of the angles in a triangle?

180 degrees

90 degrees

360 degrees

270 degrees

The sum of the interior angles of any triangle is always 180 degrees. This is a fundamental principle in geometry, applicable to all triangles, regardless of their type (scalene, isosceles, or equilateral). Understanding this property is crucial for solving various geometric problems, and constructing accurate figures, and is foundational in proving more complex theorems in the field of geometry.

Explanation

The sum of the interior angles of any triangle is always 180 degrees. This is a fundamental principle in geometry, applicable to all triangles, regardless of their type (scalene, isosceles, or equilateral). Understanding this property is crucial for solving various geometric problems, and constructing accurate figures, and is foundational in proving more complex theorems in the field of geometry.

9. What fraction is equivalent to 0.07?

7/10

7/100

70/10

70/100

The decimal 0.07 represents seven hundredths, which can be directly converted into a fraction as 7/100. This fraction reflects the decimal point's position, indicating that the number is seven parts out of a hundred. Understanding decimal-to-fraction conversions involves recognizing the place value of each digit in a decimal. Here, the 7 is in the hundredths place, meaning it is the second digit to the right of the decimal point, thus making the equivalent fraction 7/100. This skill is fundamental in math for accurately interpreting and using decimal values in various applications.

Explanation

The decimal 0.07 represents seven hundredths, which can be directly converted into a fraction as 7/100. This fraction reflects the decimal point's position, indicating that the number is seven parts out of a hundred. Understanding decimal-to-fraction conversions involves recognizing the place value of each digit in a decimal. Here, the 7 is in the hundredths place, meaning it is the second digit to the right of the decimal point, thus making the equivalent fraction 7/100. This skill is fundamental in math for accurately interpreting and using decimal values in various applications.

10. How many minutes are there in 3 hours and 40 minutes?

120 mins

180 mins

220 mins

240 mins

To find the total number of minutes in 3 hours and 40 minutes, you first convert the hours into minutes and then add the remaining minutes. Since there are 60 minutes in an hour, 3 hours equals 180 minutes (3 hours x 60 minutes/hour). Adding the 40 minutes gives a total of 220 minutes. This calculation is straightforward and essential for converting time units, allowing for easier computation and understanding of time durations in different formats.

Explanation

To find the total number of minutes in 3 hours and 40 minutes, you first convert the hours into minutes and then add the remaining minutes. Since there are 60 minutes in an hour, 3 hours equals 180 minutes (3 hours x 60 minutes/hour). Adding the 40 minutes gives a total of 220 minutes. This calculation is straightforward and essential for converting time units, allowing for easier computation and understanding of time durations in different formats.

11. How many one-sixths are there in 2?

3

6

12

15

To find how many one-sixths make up the number 2, you divide 2 by 1/6. This is equivalent to multiplying 2 by the reciprocal of 1/6, which is 6. So, 2 times 6 equals 12. This means there are twelve one-sixths in 2. Understanding how to convert whole numbers to fractions and vice versa is crucial in fractional arithmetic, helping clarify relationships between different quantities and making calculations more straightforward.

Explanation

To find how many one-sixths make up the number 2, you divide 2 by 1/6. This is equivalent to multiplying 2 by the reciprocal of 1/6, which is 6. So, 2 times 6 equals 12. This means there are twelve one-sixths in 2. Understanding how to convert whole numbers to fractions and vice versa is crucial in fractional arithmetic, helping clarify relationships between different quantities and making calculations more straightforward.

12. What is the smallest single-digit composite number?

9

4

2

1

A composite number is defined as a positive integer that has at least one positive divisor other than one or itself. The smallest single-digit composite number is 4. This is because 4 can be divided evenly by 1, 2, and 4, making it the first single-digit number that fits the definition of a composite number. Numbers like 2 and 1 are not composite; 2 is a prime number and 1 is neither prime nor composite as it only has one divisor, which is itself.

Explanation

A composite number is defined as a positive integer that has at least one positive divisor other than one or itself. The smallest single-digit composite number is 4. This is because 4 can be divided evenly by 1, 2, and 4, making it the first single-digit number that fits the definition of a composite number. Numbers like 2 and 1 are not composite; 2 is a prime number and 1 is neither prime nor composite as it only has one divisor, which is itself.

13. What is the product of 8 and 12?

96

100

80

120

Multiplying 8 by 12 gives the product of 96. This basic arithmetic operation, multiplication, is used to calculate the total when a particular item or value is grouped into equal parts, such as calculating the total number of objects in multiple groups or determining the total cost when multiple items are priced the same. Mastery of multiplication is essential for both everyday tasks and more complex mathematical calculations.

Explanation

Multiplying 8 by 12 gives the product of 96. This basic arithmetic operation, multiplication, is used to calculate the total when a particular item or value is grouped into equal parts, such as calculating the total number of objects in multiple groups or determining the total cost when multiple items are priced the same. Mastery of multiplication is essential for both everyday tasks and more complex mathematical calculations.

14. How can 3 hundredths be expressed as a decimal?

0.003

0.3

300

0.03

Three hundredths, expressed as a decimal, is written as 0.03. In decimal notation, the term "hundredths" refers to the second place after the decimal point, where each place value represents a power of ten. The first place after the decimal is tenths (1/10), and the second is hundredths (1/100). Therefore, three-hundredths means three parts out of one hundred, which translates directly to 0.03 in decimal form. Understanding decimal place values is essential for accurate representation of fractions and decimals in mathematical calculations.

Explanation

Three hundredths, expressed as a decimal, is written as 0.03. In decimal notation, the term "hundredths" refers to the second place after the decimal point, where each place value represents a power of ten. The first place after the decimal is tenths (1/10), and the second is hundredths (1/100). Therefore, three-hundredths means three parts out of one hundred, which translates directly to 0.03 in decimal form. Understanding decimal place values is essential for accurate representation of fractions and decimals in mathematical calculations.

15. A rectangle has a length of 15 and a width of 8. What is its perimeter?

36

42

46

50

The perimeter of a rectangle is calculated using the formula: Perimeter = 2 × (Length + Width). Given that the length is 15 and the width is 8, substituting these values into the formula: Perimeter = 2 × (15 + 8) = 2 × 23 = 46. This means the total distance around the rectangle is 46. Checking, adding all four sides: 15 + 15 + 8 + 8 = 46, confirming the correctness. Understanding perimeter is important for real-world applications such as fencing a field or framing a picture.

Explanation

The perimeter of a rectangle is calculated using the formula: Perimeter = 2 × (Length + Width). Given that the length is 15 and the width is 8, substituting these values into the formula: Perimeter = 2 × (15 + 8) = 2 × 23 = 46. This means the total distance around the rectangle is 46. Checking, adding all four sides: 15 + 15 + 8 + 8 = 46, confirming the correctness. Understanding perimeter is important for real-world applications such as fencing a field or framing a picture.