Hard Maths Quiz Questions With Answers

The correct answer is 12221. This is the sum of 6372 and 5849.To reach at this answer, you need to add the numbers carefully, ensuring that you carry over any values from one place value column to the next. Starting with the units place, 2 + 9 equals 11, so you write down the 1 and carry over the 1 to the tens place. Continue this process for the hundreds, thousands, and ten thousand places, and you'll find the correct sum to be 12221.

The formula for the perimeter of a square is:
Perimeter = 4 × side length.
This formula works because a square has four equal sides.

The perimeter is provided as 36 cm. Substitute this into the formula:
36 = 4 × side length.

To isolate the side length, divide both sides of the equation by 4:
side length = 36 ÷ 4.

Simplify the equation by dividing:
side length = 9 cm.

Each side of the square measures 9 cm.

Step 1: Let the numbers be x, x + 2, and x + 4.

Step 2: Write the equation for their sum: x + (x + 2) + (x + 4) = 45.

Step 3: Simplify: 3x + 6 = 45.

Step 4: Subtract 6 from both sides: 3x = 39.

Step 5: Divide by 3: x = 13.

The numbers are 13, 15, and 17.

Step 1: Start with the equation: 5x - 7 = 18.

Step 2: Add 7 to both sides to isolate the term with x: 5x = 25.

Step 3: Divide both sides by 5 to solve for x: x = 25 / 5.

Step 4: Simplify the division: x = 5.

The solution to the equation is x = 5.

To find out how many boys and girls there are in Class A and Class B combined, you can add the numbers of boys and girls in each class.



In Class A:

- Boys: 23

- Girls: 21



In Class B:

- Boys: 21

- Girls: 22



Now, add the numbers for each category separately:



Boys in Class A + Boys in Class B = 23 + 21 = 44 boys

Girls in Class A + Girls in Class B = 21 + 22 = 43 girls



So, there are 44 boys and 43 girls in Class A and Class B combined.

To calculate how many kilograms of fish and chicken are left, you need to subtract the amounts you ate from the total amounts your mom bought.



For fish:

Total fish bought = 22 kg

Fish eaten = 12 kg



Fish left = Total fish bought - Fish eaten = 22 kg - 12 kg = 10 kg



For chicken:

Total chicken bought = 24 kg

Chicken eaten = 4 kg



Chicken left = Total chicken bought - Chicken eaten = 24 kg - 4 kg = 20 kg



So, there are 10 kilograms of fish and 20 kilograms of chicken left. So, a total of 30 kgs of food combined is left.

The answer is 7778.1001 because when you add 7778.1 to 0.0001, the sum is 7778.1001.

Multiplying a number by 2 means adding that number to itself.
So, 45.5 × 2 = 45.5 + 45.5.

Add the two values:
45.5 + 45.5 = 91.

From the given options:

• 91: This is correct because it matches the result of the multiplication.

Dividing 352 by 12 results in 29.3. This can be calculated by dividing 352 by 12 using long division or a calculator. The quotient of 29.3 means that 352 can be evenly divided by 12, with no remainder. Therefore, 29.3 is the correct answer.

• Start with the equation: 5x - 3 = 2x + 9.


• Subtract 2x from both sides: 3x - 3 = 9.


• Add 3 to both sides: 3x = 12.


• Divide both sides by 3: x = 4.
  
  The solution for x is 4.

When you divide 20 by 0.5, you are essentially asking how many times 0.5 can go into 20. Since 0.5 is half of 1, it means that it takes two halves to make 1. Therefore, when you divide 20 by 0.5, you are dividing it by half of 1. Dividing 20 by 0.5 gives you a result of 40, because 40 is the number of times 0.5 can fit into 20.

Step 1: Expand the equation: 2y + 12 - 3y = 8.

Step 2: Combine like terms: -y + 12 = 8.

Step 3: Subtract 12 from both sides: -y = -4.

Step 4: Divide by -1: y = 4.

The solution to the equation is y = 4.

Divide 70 by 69:

70 ÷ 69 = 1.014492753...

The result is a repeating decimal that continues indefinitely. For simplicity, we round this value to two decimal places:

1.0145 ≈ 1.01.

• 
  


• 1.01: This is correct because it is the closest rounded value to the result of 1.0145.

Step 1: Let the numbers be x and y. From the problem, x + y = 45 and xy = 450.

Step 2: Use the quadratic equation: t² - (sum)t + product = 0.

Step 3: Substitute: t² - 45t + 450 = 0.

Step 4: Factorize: (t - 15)(t - 30) = 0.

Step 5: Solve for t: t = 15 or t = 30.

Thus, the numbers are 15 and 30.

Let's calculate your remaining money step by step:



1. You started with $30.00.

2. You bought a flower for $4.50. Subtract this cost: $30.00 - $4.50 = $25.50 remaining.

3. You sold the flower for $1.20. Add this amount: $25.50 + $1.20 = $26.70.

4. You went to the donut store and spent $12.45. Subtract this cost: $26.70 - $12.45 = $14.25.



After buying the flower, selling it, and purchasing the donuts, you have $14.25 remaining.

Initially:

- Loaves of bread = 253

- Donuts = 152



After making more:

- Added 13 loaves of bread

- Added 4 donuts



Now, the totals are:

- Loaves of bread = 253 + 13 = 266

- Donuts = 152 + 4 = 156



After the boy's purchase:

- The boy bought 7 donuts, so subtract 7 from the donuts you have: 156 - 7 = 149 donuts

- The boy bought 17 loaves of bread, so subtract 17 from the loaves of bread you have: 266 - 17 = 249 loaves of bread



So, after the boy's purchase, you have 249 loaves of bread and 149 donuts left. So, a combined 398 donuts and loaves are left. 

Step 1: Use the Pythagorean theorem: a^2 + b^2 = c^2, where c is the longest side.

Step 2: Substitute the side lengths: 6^2 + 8^2 = 10^2.

Step 3: Calculate the squares: 36 + 64 = 100.

Step 4: Confirm equality: 100 = 100.

Since the equation holds true, the triangle is a right triangle.

Step 1: Factorize the quadratic equation: x² - 5x + 6 = 0.

Step 2: Write factors: (x - 2)(x - 3) = 0.

Step 3: Solve each factor:

x - 2 = 0 → x = 2.

x - 3 = 0 → x = 3.

The solutions are x = 2 and x = 3.

Step 1: The diagonal of the square is equal to the diameter of the circle: diameter = 2 × radius = 14 cm.

Step 2: The diagonal of the square is related to its side length by the formula: diagonal = s√2, where s is the side length.

Step 3: Solve for s: s = diagonal / √2 = 14 / √2 = 7√2 cm.

Step 4: Calculate the area: Area = s² = (7√2)² = 49 × 2 = 98 cm².

Begin by applying the distributive property to eliminate the parentheses:

• 
  

  For 5(3x - 4): Multiply 5 by each term inside the parentheses:
  
  5 × 3x = 15x, and 5 × -4 = -20.
  
  This gives: 15x - 20.

  
  


• 
  

  For -2(2x + 3): Multiply -2 by each term inside the parentheses:
  
  -2 × 2x = -4x, and -2 × 3 = -6.
  
  This gives: -4x - 6.

  
  

After expansion, the expression becomes:

15x - 20 - 4x - 6.

Now, group the terms with variables and constants separately:

• 
  

  Variable terms: Combine 15x and -4x:
  
  15x - 4x = 11x.

  
  


• 
  

  Constant terms: Combine -20 and -6:
  
  -20 - 6 = -26.

  
  

After combining like terms, the simplified expression is:

11x - 26.