Jss1 Mathematics Quiz Questions And Answers

To find the area of a rectangle, you use the formula:

Area=Length×Width

In this case, the length is 8 cm and the width is 5 cm.

Now, substitute these values into the formula:

Area=8 cm×5 cm

To perform the multiplication:

8×5=40

Thus, the area of the rectangle is:

Area=40 cm²

This means that if you were to cover the rectangle with square centimeters, you would need 40 of them.

The correct answer is 8000 because the place value of a digit is determined by its position in the number. In the given number 238056, the digit 8 is in the thousands place, which means it represents 8000.

To determine the 5th multiple of 6, we start by understanding what a multiple is. A multiple of a number is the product of that number and an integer. In this case, we are looking for the multiples of 6.

Here’s how to find the 5th multiple step by step:

1. Identify the number: We are using 6 as our base number.

2. Define what a multiple is: The multiples of a number are generated by multiplying that number by whole numbers (0, 1, 2, 3, ...).

3. Calculate the multiples of 6:

   • 1st multiple: $6 \times 1 = 6$
   • 2nd multiple: $6 \times 2 = 12$
   • 3rd multiple: $6 \times 3 = 18$
   • 4th multiple: $6 \times 4 = 24$
   • 5th multiple: $6 \times 5 = 30$

4. Find the answer: The product of $6$ and $5$ gives us $30$. Therefore, the 5th multiple of 6 is 30.

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. In this case, 10 is greater than 3, so it is an improper fraction.

To add 315 and 231, follow the basic rules of addition:

Start by adding the digits in the ones column:

5+1=6

Move to the tens column:

1+3=4

Finally, add the digits in the hundreds column:

3+2=5

Now, combining these results, we get: 315+231=546

The correct answer is: 546.

To add 1.23 + 10.23 + 100.23:

Start by aligning the decimal points:

1.23+10.23+100.23

Add each column starting from the right (hundredths, tenths, then units):

Hundredths: 3+3+3=9

Tenths: 2+2+2=6

Whole numbers: 1+10+100=111

So, the sum is:

1.23+10.23+100.23=111.69

An integer is any positive or negative numeral without any decimal or fractional part. It includes whole numbers and their negative counterparts. Therefore, the statement that an integer is any positive or negative numeral is true.

The number 5 is not a common factor of 12 and 24 because it does not divide evenly into either of them. Both 12 and 24 can be evenly divided by 2, 3, and 4, but not by 5.

Factors of a number are integers that divide the number without leaving a remainder. To find the common factors, we first list the factors of each number:

Factors of 15: 1, 3, 5, 15

Factors of 20: 1, 2, 4, 5, 10, 20

The common factors of both 15 and 20 are those that appear in both lists, which are 1 and 5.

The correct answer is "one million three hundred and forty-seven thousand." This is the correct way to write the number 1,347,000 in words.

The HCF (Highest Common Factor) is the largest number that divides all the given numbers without leaving a remainder. In this case, the factors of 9 are 1, 3, and 9. The factors of 15 are 1, 3, 5, and 15. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The common factors of all three numbers are 1 and 3. The largest common factor is 3, so it is the HCF of 9, 15, and 24.

The LCM (Least Common Multiple) is the smallest multiple that is divisible by all the given numbers. To find the LCM of 20, 24, and 30, we can list the multiples of each number and find the smallest common multiple. The multiples of 20 are 20, 40, 60, 80, 100, 120, ... The multiples of 24 are 24, 48, 72, 96, 120, ... The multiples of 30 are 30, 60, 90, 120, ... The smallest common multiple of all three numbers is 120, which is the LCM.

Irrational numbers are numbers that cannot be expressed as a fraction of two integers (i.e., they cannot be written as a ratio of whole numbers). These numbers have decimal expansions that are non-repeating and non-terminating. Examples include numbers like π (pi) and √2, whose decimal forms continue indefinitely without forming a repeating pattern. This contrasts with rational numbers, which can be written as fractions and have either terminating or repeating decimal representations.

To simplify the fraction 125/240​, we find the greatest common factor (GCF) of the numerator (125) and the denominator (240), which is 5. Dividing both the numerator and denominator by 5, we get 25/48 as the simplest form of the fraction. 

The correct answer is 866.84. To find the sum of 29.34 and 837.5, we add the two numbers together. 29.34 + 837.5 equals 866.84.

To express 84 as a product of prime factors, we need to divide 84 by the smallest prime numbers until we can't divide any further.

1. Start with 2, the smallest prime number:

   $$84 \div 2 = 42$$

2. Divide 42 by 2 again (since 42 is also divisible by 2):

   $$42 \div 2 = 21$$

3. 21 is not divisible by 2, so we move to the next smallest prime number, which is 3. Divide 21 by 3:

   $$21 \div 3 = 7$$

4. 7 is a prime number, so we stop here.

Now, we can express 84 as a product of its prime factors:

So, the correct expression of 84 as a product of prime factors is $2 \times 2 \times 3 \times 7$.

The correct answer is: 2 x 2 x 3 x 7.

To convert the fraction 3/8 to a decimal, perform the division 3 ÷ 8. This involves adding a decimal and zeros to the dividend (3). 8 goes into 30 three times (0.3), leaving a remainder of 6. Bringing down a zero gives 60; 8 goes into 60 seven times (0.37), with a remainder of 4. Bringing down another zero gives 40; 8 goes into 40 exactly five times (0.375) with no remainder. Alternatively, recognize that $8\times 125=1000$, so $\genfrac{}{}{0ex}{}{3}{8}=\genfrac{}{}{0ex}{}{3\times 125}{8\times 125}=\genfrac{}{}{0ex}{}{375}{1000}=0.375$. Thus, 3/8 as a decimal is 0.375.

To round up 1.865 to the nearest whole number, we need to look at the decimal part of the number. Since the decimal part is greater than or equal to 0.5, we round up the whole number to the next higher integer. In this case, the decimal part is 0.865, which is greater than 0.5. Therefore, we round up 1.865 to the nearest whole number, which is 2.

To find the sum of 695 and 455, we add them together: 695 + 455 = 1150.
Then, we find the difference between 39 and 34: 39 - 34 = 5.
Finally, we divide the result of the sum (1150) by the difference (5): 1150 / 5 = 230. Therefore, the correct answer is 230.

The H.C.F. (Highest Common Factor) is the largest number that divides both 8 and 12 without leaving a remainder. To find the H.C.F., we can list the factors of both numbers and find the largest common factor. The factors of 8 are 1, 2, 4, and 8, while the factors of 12 are 1, 2, 3, 4, 6, and 12. The largest common factor is 4, which is the H.C.F.

In Roman numerals, M represents 1000 and CM represents 900 (C is 100, and M is 1000; so CM means 1000 - 100 = 900).

When you combine M (1000) and CM (900), you get 1900.

So, the correct answer is 1900.

In a leap year, the month of February has 29 days. This is because a leap year occurs every 4 years and has an extra day added to the calendar to account for the Earth's orbit around the sun. This extra day, known as February 29th, ensures that the calendar stays in sync with the solar year.

To determine which is the greatest among 424^242, 333^333, and 242^424, we need to calculate the value of each expression:

4^2: This means 4 raised to the power of 2.

4^2=4×4=16

3^3: This means 3 raised to the power of 3.

3^3=3×3×3=27

2^4: This means 2 raised to the power of 4.

2^4=2×2×2×2=16

Now we compare the results:

4^2 = 16

3^3 = 27

2^4 = 16

Among these, 3^3 = 27 is the greatest.

To convert the decimal 0.880.880.88 to a percentage, you multiply it by 100100100 and add the percent sign:

0.88×100=88%

Therefore, 0.88 as a percentage is 88%.

The given fraction 4/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4. After simplification, the fraction becomes 1/2. In decimal form, 1/2 is equal to 0.5.

Find the prime factorization of each number:

12 = 2² × 3¹

18 = 2¹ × 3²

Identify the highest power of each prime factor:

For 2, the highest power is 2² (from 12).

For 3, the highest power is 3² (from 18).

Multiply these together to find the LCM:

LCM = 2² × 3² = 4 × 9 = 36

To round 12835 to the nearest thousand, we look at the hundreds digit. Since it is 8, which is greater than or equal to 5, we round up to the next thousand. Therefore, the nearest thousand to 12835 is 13000.

The correct answer is 14.47 because when expressing a number to 2 decimal places, we round the number to the nearest hundredth. In this case, 14.467 is closer to 14.47 than it is to 14.46, so we round up to 14.47.

To change 70% to a fraction, first express 70% as 70/100, because percent means "out of 100."

Now, simplify 70/100 by dividing both the numerator and denominator by 10. This gives 7/10.

So, the correct answer is 7/10.

A pure number is a number that does not have any units or dimensions associated with it. In this case, all the given options are numbers, but only 31 does not have any units or dimensions attached to it. Therefore, 31 is the pure number among the given options.

A function and its inverse are related in such a way that they "undo" each other. This means that if you apply a function and then its inverse to a value, you get the original value back. Graphically, this relationship is represented by a reflection across the line y = x. However, it's important to note that not all functions have inverses. Only functions that are one-to-one (meaning each input has a unique output) have inverses.

To find the prime factors of 18, we can follow these steps:

1. Start with the number: 18.

2. Divide by the smallest prime number: The smallest prime number is 2. Since 18 is even, we can divide it by 2.

   $$18 \div 2 = 9$$

3. Continue with the quotient: Now we take 9. The next smallest prime number is 3. We can divide 9 by 3.

   $$9 \div 3 = 3$$

4. Repeat the division: We can divide 3 by 3 again.

   $$3 \div 3 = 1$$

Now that we have reached 1, we can stop.

The prime factors of 18 are the prime numbers we used to divide, which are 2 and 3. Since we used 3 twice, we express the prime factorization of 18 as:

To find the prime factors of 15, we break it down into numbers that multiply to give 15, ensuring they are prime:

1. Start by dividing 15 by the smallest prime number, which is 3:
   $15 ÷ 3 = 5$

2. Now, 5 is a prime number, so we stop here.

Thus, the prime factors of 15 are 3 and 5. The correct answer is: 3, 5.

Explanation:

• Prime factors are numbers that are both prime and can multiply together to give the original number.
• 3 and 5 are the only prime numbers that multiply to make 15.

394.672 rounded to 2 significant figures would be 390. This is because the first significant figure is 3, and the second significant figure is 9. Since the digit following the second significant figure (4) is less than 5, the second significant figure remains unchanged. Therefore, the correct answer is 390.

To solve the expression 7²−5×6+3, you need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right)).

Calculate the exponent:

7²=49

Next, perform the multiplication:

5×6=30

Now substitute these values back into the expression: 49−30+3

Perform the subtraction first: 49−30=19

Then, add 3: 19+3=22

Thus, the final result is:

Value=22