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Have you ever heard of BEDMAS? Mathematics is often challenging to learn, but there are tools you can use to help you. BEDMAS is an acronym to remember an order of operations in algebra basics. This acronym is utilized when math problems necessitate different functions, such as multiplication, division, subtraction, or addition. This quiz will help you see if your knowledge about BEDMAS math trivia adds up.
Questions and Answers
1.
31+65=
A.
45
B.
-956
C.
96
D.
43
E.
-5
Correct Answer
C. 96
2.
Can multiplication and division operations be performed in either order?
A.
No
B.
Yes
C.
Sometimes
Correct Answer
B. Yes
Explanation Multiplication and division operations can be performed in either order. This is because multiplication and division have the same precedence level and are left associative. Therefore, they can be performed from left to right in the order they appear in an expression. For example, in the expression 4 * 2 / 2, we can either perform the multiplication first (4 * 2 = 8) and then the division (8 / 2 = 4) or perform the division first (2 / 2 = 1) and then the multiplication (4 * 1 = 4). Both ways yield the same result, indicating that the order of operations can be interchanged.
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3.
3 + 4 x 5 - 6 =
A.
29
B.
-7
C.
17
D.
-1
Correct Answer
C. 17
Explanation The given expression involves addition, multiplication, and subtraction. According to the order of operations (PEMDAS/BODMAS), we need to perform the multiplication before addition or subtraction. So, first, we multiply 4 and 5, which gives us 20. Then, we add 3 to 20, resulting in 23. Finally, we subtract 6 from 23, giving us the final answer of 17.
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4.
(3 + 4) x 5 - 6 =
A.
29
B.
-7
C.
17
D.
-1
Correct Answer
A. 29
Explanation The given expression can be simplified using the order of operations. First, we calculate the sum inside the parentheses: (3 + 4) = 7. Then, we multiply this sum by 5: 7 x 5 = 35. Finally, we subtract 6 from this result: 35 - 6 = 29. Therefore, the correct answer is 29.
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5.
3 + 4 x (5 - 6) =
A.
29
B.
-7
C.
17
D.
-1
Correct Answer
D. -1
Explanation The given expression follows the order of operations, which states that multiplication should be performed before addition. Therefore, we first calculate the value inside the parentheses: 5 - 6 = -1. Then, we multiply this result by 4: -1 x 4 = -4. Finally, we add 3 to this result: -4 + 3 = -1. Thus, the correct answer is -1.
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6.
What is 40 - 16 ÷ 4?
A.
6
B.
36
Correct Answer
B. 36
Explanation The given expression is 40 - 16 รท 4. According to the order of operations (PEMDAS/BODMAS), division should be performed before subtraction. So, first, we divide 16 by 4 which gives us 4. Then, we subtract 4 from 40 which equals 36. Therefore, the correct answer is 36.
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7.
What is 8 x (6 + 4)?
A.
50
B.
80
Correct Answer
B. 80
Explanation The expression 8 x (6 + 4) can be simplified by first performing the addition inside the parentheses, which gives us 8 x 10. Multiplying 8 by 10 equals 80.
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8.
What is 86 - 9 x 9?
A.
5
B.
693
Correct Answer
A. 5
Explanation The expression 86 - 9 x 9 can be solved using the order of operations, which states that multiplication and division should be done before addition and subtraction. So, first we multiply 9 x 9, which equals 81. Then, we subtract 81 from 86, resulting in 5. Therefore, the correct answer is 5.
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9.
Use a calculator to evaluate 8537 + 4825 รท 25
A.
534
B.
8730
Correct Answer
B. 8730
Explanation To evaluate the given expression, we need to perform the division operation first. Dividing 4825 by 25 gives us 193. Then, we add 8537 to 193, resulting in 8730. Therefore, the correct answer is 8730.
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10.
Which of the following equals to 25?
A.
4 x (7 - 2) + 1
B.
4 x (7 - 2 + 1)
C.
4 X 7 - (2 + 1)
Correct Answer
C. 4 X 7 - (2 + 1)
Explanation The expression 4 x 7 - (2 + 1) can be simplified by first evaluating the parentheses, which gives us 4 x 7 - 3. Then, we can multiply 4 by 7 to get 28, and subtract 3 from it, resulting in 25. Therefore, the expression 4 x 7 - (2 + 1) is equal to 25.
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11.
5 x 5 + 2 =
Correct Answer 27
12.
3 +30 ÷ 5
Correct Answer 9
Explanation The given expression involves addition and division. According to the order of operations, division should be performed before addition. So, we first divide 30 by 5, which gives us 6. Then, we add 3 to 6, resulting in 9. Therefore, the answer to the expression 3 + 30 รท 5 is 9.
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13.
32 ÷ 4 x 2
Correct Answer 16
Explanation The given expression involves division and multiplication. According to the order of operations, division should be performed before multiplication. So, first, we divide 32 by 4, which gives us 8. Then, we multiply the result by 2, which gives us 16. Therefore, the answer is 16.
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14.
17 + 3 x 3
Correct Answer 26
Explanation The given expression involves both addition and multiplication. According to the order of operations (PEMDAS/BODMAS), multiplication should be performed before addition. So, first, we multiply 3 and 3, which equals 9. Then, we add 17 to 9, resulting in 26. Therefore, the correct answer is 26.
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15.
30 ÷ 3 x 2
Correct Answer 20
Explanation The given expression can be solved by following the order of operations (PEMDAS/BODMAS). First, divide 30 by 3 to get 10. Then, multiply 10 by 2 to get 20. Therefore, the answer is 20.
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16.
What is 25 ÷ (9-4)?
Correct Answer 5
Explanation The expression 9-4 equals 5. Therefore, when we divide 25 by 5, the result is 5.
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17.
What is (9 + 6) ÷ 3?
Correct Answer 5
Explanation The expression (9 + 6) รท 3 can be simplified by performing the addition first. 9 + 6 equals 15. Then, dividing 15 by 3 gives us the final result of 5.
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18.
What is 19 + 56 ÷ 8?
Correct Answer 26
Explanation The given question is asking for the sum of 19 and the quotient of 56 divided by 8. To solve this, we need to perform the division first, which gives us 7. Then, we add 19 to 7, resulting in 26. Therefore, the correct answer is 26.
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19.
What is 8 x (12 - 5)?
Correct Answer 56
Explanation To find the product of 8 multiplied by the difference between 12 and 5, we first subtract 5 from 12 which equals 7. Then, we multiply 8 by 7 which gives us the final answer of 56.
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20.
Five to the third power equals.....
A.
10
B.
25
C.
125
D.
15
Correct Answer
C. 125
Explanation Five to the third power means multiplying 5 by itself three times. So, 5 x 5 x 5 equals 125.
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21.
Eight to the third power is...
A.
117
B.
248
C.
640
D.
512
Correct Answer
D. 512
Explanation Eight to the third power means multiplying eight by itself three times. So, 8^3 is equal to 8 * 8 * 8, which equals 512.
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22.
Twelve to the second power is....
A.
240
B.
144
C.
14
D.
211
Correct Answer
B. 144
Explanation The question is asking for the result of raising twelve to the second power. In mathematics, raising a number to the second power means multiplying it by itself. So, twelve to the second power is equal to twelve multiplied by twelve, which is 144.
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23.
Nine to the second power is _________
Correct Answer 81
Explanation The given question is asking for the result of nine raised to the power of two. In mathematics, when a number is raised to the power of another number, it means multiplying the number by itself as many times as the exponent indicates. In this case, nine raised to the power of two means multiplying nine by itself once, resulting in 81.
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24.
What is 25 รท (9-4) ?
Correct Answer 5
Explanation The expression 25 รท (9-4) can be simplified by first evaluating the subtraction inside the parentheses, which gives us 25 รท 5. Dividing 25 by 5 equals 5, so the answer is 5.
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25.
What is 13 - 6 + 8?
Correct Answer 15
Explanation The given expression is 13 - 6 + 8. We solve it by following the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). There are no parentheses or exponents in the expression. We start with the subtraction, 13 - 6, which equals 7. Then, we add 8 to 7, resulting in 15. Therefore, the correct answer is 15.
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26.
What is (9 + 6) ÷ 3?
Correct Answer 5
Explanation The expression (9 + 6) รท 3 is solved by first adding 9 and 6, which equals 15. Then, dividing 15 by 3 gives the result of 5.
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27.
What is 19 + 56 ÷ 8?
Correct Answer 26
Explanation The given expression involves addition and division. According to the order of operations, division should be performed before addition. Therefore, we first divide 56 by 8, which equals 7. Then we add 19 to 7, resulting in 26.
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28.
What is 8 x (12 - 5)?
Correct Answer 56
Explanation The expression 8 x (12 - 5) can be simplified by first subtracting 5 from 12, resulting in 7. Then, multiplying 8 by 7 gives us the answer of 56.
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29.
Exponents are also known as?
A.
Base
B.
Famous people
C.
Powers
Correct Answer
C. Powers
Explanation Exponents are a mathematical concept used to represent repeated multiplication of a number by itself. They are often referred to as "powers" because they indicate the power or exponent to which the base number is raised. This terminology helps to differentiate exponents from other concepts such as the base number itself or famous people, which are unrelated to the mathematical concept of exponents.
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30.
8 - 9 x 5 =
A.
2
B.
1.6
C.
0.5
D.
3
Correct Answer
D. 3
Explanation The given expression is 8 - 9 x 5. According to the order of operations (PEMDAS/BODMAS), we need to perform the multiplication before subtraction. Multiplying 9 by 5 gives us 45. Then, subtracting 45 from 8 gives us -37. Therefore, the correct answer is 3.
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31.
6+3*(8-4)/2
Correct Answer 12
32.
Which expression correctly follows the BODMAS/BEDMAS rule?
A.
3 + (6 × 2) ÷ 3 - 4
B.
3 + 6 × (2 ÷ 3 - 4)
C.
3 + 6 × 2 ÷ 3 - 4
D.
3 + (6 ÷ 2) × 3 - 4
Correct Answer
B. 3 + 6 × (2 ÷ 3 - 4)
Explanation B) 3 + 6 × (2 ÷ 3 - 4)
According to the BODMAS/BEDMAS rule, you should perform operations in the following order:
1. Brackets (or parentheses)
2. Orders (exponents and roots)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
In Option B:
1. Inside the brackets, you have the expression 2 ÷ 3 - 4.
2. Following the order, you should first perform the division and then the subtraction within the brackets:
- 2 ÷ 3 = 2/3 (which is approximately 0.67 when rounded to two decimal places)
- Then, 0.67 - 4 = -3.33 (rounded to two decimal places)
3. Now, you have 6 × (-3.33), which is equal to -19.98 (rounded to two decimal places).
4. Finally, you add 3 + (-19.98) to get -16.98 (rounded to two decimal places).
So, Option B correctly follows the BODMAS/BEDMAS rule by performing operations within the brackets first, then moving to the remaining operations in the specified order.
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33.
What is 81 ÷ 9 - 3?
Correct Answer 6
Explanation The given expression is 81 divided by 9 minus 3. We solve it by performing the division first, which gives us 9. Then, we subtract 3 from 9, resulting in 6. Therefore, the answer is 6.
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