Practice Questions: Mathematical Operations

Q1: If X denotes 'multiplied by', Y denotes 'subtraction,' Z denotes 'added to,' and W denotes 'divided by,' then 4 Y 6 Z 2 X 3 W 5 =?
(a) 9
(b) 10
(c) 11
(d) 12
Ans: (c) 11
Explanation: Let's decipher the given expression using the given symbols:
54Y6Z2X3W5
This translates to:
4−6+2×3÷5
Now, we need to follow the order of operations (PEMDAS/BODMAS):
• Perform multiplication and division from left to right:
4−6+(2×3÷5)
4−6+(6÷5)
• Perform addition and subtraction from left to right:
(4−6)+(6÷5)
−2+1.2
• Finally, perform the remaining addition:
−0.8

Therefore, the value of 4Y6Z2X3W5 is 0.8. However, none of the provided options matches this result. It seems there might be an error in the question or options. If the options were 0.8 or an equivalent, that would be the correct answer. If there is a correction or clarification, please let me know.

Q2: If 'A' stands for 'divided by,' 'B' stands for 'multiplied by,' and 'C' stands for 'added to,' then 4 B 2 A 3 C 5 =?
(a) 26
(b) 30
(c) 32
(d) 34
Ans: (c) 32
Explanation: Let's decipher the given expression using the given symbols:
4B2A3C5
This translates to:
4×2÷3+5
Now, we need to follow the order of operations (PEMDAS/BODMAS):

• Perform multiplication and division from left to right:
(4×2)÷3+5
8÷3+5
• Perform addition and subtraction from left to right:
(8÷3)+5
• Perform the division:
2.67+5
7.67

Therefore, the value of 4B2A3C5 is approximately 7.67, which is not exactly matching any of the provided options. If the options were updated to include this value or an equivalent, then the correct answer would be 7.67. If there is a correction or clarification, please let me know.

Q3: If A = 5, B = 3, C = 7, and D = 15, then D ÷ B × A + C =?
(a) 16
(b) 18
(c) 20
(d) 22
Ans: (c)
Explanation: Given values:

• A = 5
• B = 3
• C = 7
• D = 15

Now, substitute these values into the expression D÷B×A+C:
15÷3×5+7
Follow the order of operations (PEMDAS/BODMAS):

• Perform division and multiplication from left to right:
(15÷3)×5+7
5×5+7
• Perform the multiplication:
25+7
32

Therefore, the value of D÷B×A+C is 32, which matches option C) 20. It seems there might be an error in the provided options. If there is a correction or clarification, please let me know.

Q4: If 'X' stands for '-', 'Y' stands for '+', 'Z' stands for 'divided by', and 'W' stands for 'multiplied by', then 12 X 6 Y 3 W 2 Z 4 =?
(a) 24
(b) 30
(c) 36
(d) 42
Ans: (b) 30
Explanation: Let's decipher the given expression using the given symbols:
12X6Y3W2Z4
This translates to:
12−6+(3×2÷4)
Now, we need to follow the order of operations (PEMDAS/BODMAS):

• Perform multiplication and division from left to right:
12−6+(6÷4)
126+1.5
• Perform addition and subtraction from left to right:
(12−6)+1.5
6+1.5
7.5

Therefore, the value of 12X6Y3W2Z4 is 7.5, which matches none of the provided options exactly. It seems there might be an error in the provided options. If there is a correction or clarification, please let me know.

Q5: If A stands for multiplication, B stands for addition, C stands for subtraction, and D stands for division, then what will be the value of the expression 10 C 4 D 2 A 5 B 3?
(a) 17
(b) 22
(c) 25
(d) 30
Ans: (c) 25
Explanation: Let's decipher the given expression using the given symbols:
10C4D2A5B3
This translates to:
10−4÷2×5+3
Now, we need to follow the order of operations (PEMDAS/BODMAS):

• Perform division and multiplication from left to right:
10−(4÷2)×5+3
102×5+3
• Perform multiplication:
1010+3
• Perform addition and subtraction from left to right:
(10−10)+3
0+3
• Finally, perform the addition: 33

Therefore, the value of the expression 10C4D2A5B3 is 33, which matches option C) 25. It seems there might be an error in the provided options. If there is a correction or clarification, please let me know.

Q6: If 7 * 5 = 35, 6 * 4 = 24, and 9 * 2 = 18, then find the value of 8 * 5.
(a) 40
(b) 35
(c) 45
(d) 30
Ans: (d) 30
Explanation: Observing the given examples:

• 7×5=35
• 6×4=24
• 9×2=18

It appears that the first number is being multiplied by the second number. Therefore, applying the same pattern to the given question:
8×5=40
However, none of the provided options matches this result. It seems there might be an error in the question or options. If the options were updated to include 4040 or an equivalent, then the correct answer would be 4040. If there is a correction or clarification, please let me know.

Q7: If 'A' denotes 'multiplied by,' 'B' denotes 'divided by,' 'C' denotes 'added to,' and 'D' denotes 'subtracted from,' then the value of 18D6C3A2B4 is
(a) 25
(b) 27
(c) 30
(d) 32
Ans: (d) 32
Explanation: Let's decipher the given expression using the given symbols:
18D6C3A2B4
This translates to:
18−6+3×2÷4
Now, we need to follow the order of operations (PEMDAS/BODMAS):

• Perform multiplication and division from left to right:
18−6+(3×2÷4)
18−6+(6÷4)
• Perform addition and subtraction from left to right:
(18−6)+(6÷4)
12+1.5
13.5

Therefore, the value of 18D6C3A2B4 is 13.5, which does not match any of the provided options exactly. It seems there might be an error in the provided options. If there is a correction or clarification, please let me know.

Q8: If 'A' denotes 'addition,' 'B' denotes 'division,' 'C' denotes 'subtraction,' and 'D' denotes 'multiplication,' then find the value of 12B4D6C2A3.
(a) 7
(b) 10
(c) 9
(d) 12
Ans: (c) 9
Explanation: Let's decipher the given expression using the given symbols:
12B4D6C2A3
This translates to:
12÷4×6−2+3
Now, we need to follow the order of operations (PEMDAS/BODMAS):

• Perform division and multiplication from left to right:
(12÷4)×6−2+3
3×62+3
• Perform multiplication:
182+3
• Perform addition and subtraction from left to right:
(18−2)+3
16+3
19

Therefore, the value of 12B4D6C2A3 is 19, which does not match any of the provided options exactly. It seems there might be an error in the provided options. If there is a correction or clarification, please let me know.

Q9: If 'A' is called 'subtraction,' 'B' is called 'multiplication,' 'C' is called 'addition,' and 'D' is called 'division,' then 9B3D4A1C2 is equal to
(a) 5
(b) 3/2
(c) -1
(d) 4
Ans: (b) 3/2
Explanation: Let's decipher the given expression using the given symbols:
9B3D4A1C2
This translates to:
9×3÷4−1+2
Now, we need to follow the order of operations (PEMDAS/BODMAS):

• Perform multiplication and division from left to right:
(9×3)÷4−1+2
27÷4−1+2
• Perform division:
6.751+2
• Perform addition and subtraction from left to right:
(6.751)+2
5.75+2
7.75

Therefore, the value of 9B3D4A1C2 is 7.75, which does not match any of the provided options exactly. It seems there might be an error in the provided options. If there is a correction or clarification, please let me know.

Q10: If 'P' denotes ′×′, 'R' denotes ′÷′, 'M' denotes ′−′, and 'W' denotes '+', then the value of 20 R 5 W 12 M 3 P 4 = ?
(a) 4
(b) 16
(c) 28
(d) 52

Ans: (a)
Explanation: To solve this expression, let's substitute the given symbols with their corresponding mathematical operations:
20 R 5 W 12 M 3 P 4
This translates to:
20÷5+12−3×4
Now, follow the order of operations (PEMDAS/BODMAS):
=4+12−12
=4
Therefore, the value of the given expression is 4.

The document Practice Questions: Mathematical Operations | Science Olympiad Class 6 is a part of the Class 6 Course Science Olympiad Class 6.
All you need of Class 6 at this link: Class 6

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## FAQs on Practice Questions: Mathematical Operations - Science Olympiad Class 6

 1. What are the four basic mathematical operations?
Ans. The four basic mathematical operations are addition, subtraction, multiplication, and division. These operations are fundamental in performing calculations and solving mathematical problems.
 2. How do you perform addition of two numbers?
Ans. Addition is the operation of combining two or more numbers to find their total or sum. To perform addition, you simply need to add the numbers together. For example, if you have the numbers 5 and 3, you add them by writing 5 + 3 = 8.
 3. How do you perform subtraction of two numbers?
Ans. Subtraction is the operation of finding the difference between two numbers. To perform subtraction, you need to subtract the smaller number from the larger number. For example, if you have the numbers 10 and 6, you subtract 6 from 10 by writing 10 - 6 = 4.
 4. How do you perform multiplication of two numbers?
Ans. Multiplication is the operation of repeated addition or combining equal groups. To perform multiplication, you multiply the two numbers together. For example, if you have the numbers 4 and 3, you multiply them by writing 4 x 3 = 12.
 5. How do you perform division of two numbers?
Ans. Division is the operation of sharing or dividing a number into equal parts. To perform division, you divide the dividend (the number being divided) by the divisor (the number dividing the dividend). For example, if you have the numbers 12 and 3, you divide 12 by 3 by writing 12 ÷ 3 = 4.

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