Only Grade 6 Students Can Pass This Maths Quiz!

To find how many minutes are in 3 hours, we use the fact that 1 hour equals 60 minutes. Multiply the number of hours by 60:

3 × 60 = 180 minutes.

Thus, there are 180 minutes in 3 hours. This calculation is straightforward, as the relationship between hours and minutes is a basic multiplication problem. By understanding the conversion factor between hours and minutes, we can easily calculate the total number of minutes for any number of hours. The answer, 180 minutes, is obtained by multiplying and confirming that each hour has a consistent 60-minute duration.

When a pizza is divided into 8 equal slices, each slice represents 1/8 of the pizza. To find the fraction of the pizza that 3 slices represent, multiply the fraction of one slice by 3:

1/8 × 3 = 3/8.

This calculation shows that 3 slices constitute 3 out of 8 parts of the pizza. Fractions represent parts of a whole, and this problem requires multiplying the unit fraction by the number of slices. The resulting fraction, 3/8, expresses the part of the pizza that has been selected.

To solve the question 15 × (3 + 2) - 10, follow these steps:

1. 
   

   
   
   1. Evaluate the expression inside the parentheses:
   
   $3 + 2 = 5$.
   
    

   
   


2. 
   

   2. Multiply the result by 15:
   
   $15 × 5 = 75$.
   
    

   
   


3. 
   

   3. Subtract 10 from the product:
   
   $75 - 10 = 65$.

   
   

Thus, the final answer is 65 

To find how many days it will take to sell all 45 apples if 5 apples are sold per day, divide the total number of apples by the number sold each day:

45 ÷ 5 = 9 days.

This division tells us that it will take 9 days to sell all the apples at the given rate. This is a simple division problem, where the total amount is divided evenly by the number sold per day. The result, 9 days, is the time required for all apples to be sold at a consistent rate of 5 apples daily.

The perimeter of a square is calculated by adding all four sides. Since a square has equal sides, the formula for the perimeter is side length × 4. Given that each side of the square measures 7 cm, the perimeter is

7 cm × 4 = 28 cm.

This is a straightforward calculation, where we multiply the side length by 4 to account for each of the four sides of the square. The concept relies on understanding the geometric property that all sides of a square are equal, leading to the formula for the perimeter.

The area of a rectangle is found by multiplying the length by the width. Given that the length of the rectangle is 10 cm and the width is 4 cm, we use the formula for area:

Area = length × width = 10 cm × 4 cm = 40 cm².

This formula calculates the total surface area within the rectangle’s boundaries. By multiplying the two dimensions, we account for the entire space enclosed by the length and width. The result, 40 cm², represents the total area in square centimeters, emphasizing the two-dimensional nature of the shape.

A triangle’s internal angles always add up to 180 degrees. When you are given two of the angles, you can find the third by subtracting their sum from 180. In this case, the two angles are 35° and 65°. Adding them gives 100°. Subtracting that from 180°:

180° - 100° = 80°.

So, the third angle must be 80 degrees to maintain the triangle’s total internal angle sum of 180°, which is a fundamental rule in geometry.

The teacher gave 3 toffees to each of her 15 students who completed their assignments, so she gave out a total of 45 toffees (3 x 15 = 45). She had 60 toffees left after giving some to the students, so she originally brought 105 toffees to class (45 + 60 = 105).

A number that has only two factors, one and itself, is called a prime number. Let's evaluate the expressions:

37 + 1 = 38: 38 is not a prime number because it has factors other than 1 and itself (1, 2, 19, and 38).

37 + 37 = 74: 74 is not a prime number because it has factors other than 1 and itself (1, 2, 37, and 74).

37 × 1 = 37: 37 is a prime number because its only factors are 1 and 37.

37 × 37 = 1369: 1369 is not a prime number because it has factors other than 1 and itself (1, 37, and 1369).

Therefore, 37 × 1 = 37 is the number with only two factors, making it the correct answer.

To find the ratio, we need to ensure both quantities are in the same units. Since 1 liter equals 1000 milliliters, 2 liters is 2000 milliliters. So, the ratio is 500 ml to 2000 ml. To simplify, we divide both sides by the greatest common factor, which is 500. This gives us 500/500 : 2000/500, simplifying to 1:4. Therefore, the ratio of 500 ml to 2 liters is 1:4.

This question is like a balance scale. To keep it balanced, both sides need to have the same total weight.

• Right side: 1025 + 1025 + 1025 = 3075


• Left side: We have 1024 + 1025 = 2049

To make the left side equal 3075, we need to find the difference: 3075 - 2049 = 1026

So, 1026 is the missing number.

If 36 stamps represent one-third (1/3) of John's collection, we need to find out how many stamps are in three-thirds (3/3), which is the whole collection.

To do this, we can think:

• If 36 stamps = 1/3 of the collection


• Then 36 * 3 stamps = 3/3 (the whole) of the collection

So, 36 * 3 = 108 stamps in total.

To find the simplest form of 16242416​, you can simplify the fraction by dividing both the numerator (16) and the denominator (24) by their greatest common factor.

Factors of 16: 1, 2, 4, 8, 16

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The greatest common factor is the largest number that appears in both lists. In this case, the greatest common factor of 16 and 24 is 8.

Now, divide both the numerator (16) and the denominator (24) by the greatest common factor:

16/24=16÷8/24÷8=2/3

So, the simplified fraction is 2/3​.

Place value tells us the "worth" of a digit based on its position in a number. In decimal numbers (numbers with a decimal point), the places to the right of the decimal point represent fractions.

• The first place after the decimal is the tenths place (1/10).


• The second place is the hundredths place (1/100).


• The third place is the thousandths place (1/1000), and so on.

In the number 1.234, the 3 is in the hundredths place. So its place value is 3/100.

Imagine a rectangle like a racetrack. The perimeter is the total distance around the racetrack. To find it, we add up the lengths of all the sides. In a rectangle, the opposite sides are the same length. So, we have two sides that are 12 cm long and two sides that are 5 cm long.

Perimeter = 12 cm + 12 cm + 5 cm + 5 cm
Perimeter = 34 cm

When Meena divides a number by 2, she is finding half of that number. For example, if the original number is $x$, after the first division, the result is $\frac{x}{2}$. When she divides this result by 2 again, she takes half of $\frac{x}{2}$, which can be expressed as $\frac{\frac{x}{2}}{2}$. This simplifies to $\frac{x}{4}$, indicating that dividing the original number by 2 twice is equivalent to dividing it by 4. Thus, the correct answer is that Meena's process is equivalent to dividing the original number by 4.

The total cost of the pens can vary depending on the actual cost of each pen within the given range. To find the possible total cost, we can calculate the minimum and maximum total costs:

Minimum Total Cost: If each pen costs the minimum of Rs. 25, then the minimum total cost for 6 pens would be 6 x Rs. 25 = Rs. 150 

Maximum Total Cost: If each pen costs a maximum of Rs. 30, then the maximum total cost for 6 pens would be 6 x Rs. 30 = Rs. 180

So, the possible total cost of the 6 pens could be between Rs. 150 and Rs. 180.

A rectangle has four right angles, and each angle measures 90 degrees. The sum of all four angles in a rectangle is 360 degrees (4 × 90 = 360). If you add up the measures of any three angles in a rectangle, the total will be 270 degrees (3 × 90 = 270). Thus, the correct answer is 270 degrees.