MCQs on Simplifications & Approximations

[Set - 1]

1. Simplify the expression $14 \times 3 + \frac{48}{8} - 7^2$

A) 0
B) -1
C) 1
D) 2

Show Answer

Correct Answer: B) -1
Explanation:
First, multiply:
$14 \times 3 = 42$
Then, divide:
$\frac{48}{8} = 6$
Then, square:
$7^2 = 49$
Now, add and subtract:
$42 + 6 – 49 = -1$

2. Approximate the value of $673.25 + 189.47 - 432.15 + 223.12$

A) 653.59
B) 653.69
C) 653.79
D) 653.89

Show Answer

Correct Answer: B) 653.69
Explanation:
First, add and subtract in order:
$673.25 + 189.47 = 862.72$
$862.72 – 432.15 = 430.57$
$430.57 + 223.12 = 653.69$

3. Calculate the result of $7 \times (5 + 4) - \frac{36}{9}$

A) 57
B) 58
C) 59
D) 60

Show Answer

Correct Answer: C) 59
Explanation:
First, calculate inside the parentheses:
$5 + 4 = 9$
Then, multiply:
$7 \times 9 = 63$
Then, divide:
$\frac{36}{9} = 4$
Now, subtract:
$63 – 4 = 59$

4. Find the approximate result for $1247.89 \times 2.3 \div 11.7$

A) 245.31
B) 245.67
C) 245.77
D) 245.87

Show Answer

Correct Answer: A) 245.31
Explanation:
First, multiply:
$1247.89 \times 2.3 = 2870.15$
Then, divide:
$2870.15 \div 11.7 = 245.31$

5. Simplify $9^2 - 2^3 + 18 \div 3$

A) 77
B) 78
C) 79
D) 80

Show Answer

Correct Answer: C) 79
Explanation:
First, square:
$9^2 = 81$
Then, exponentiate:
$2^3 = 8$
Then, divide:
$18 \div 3 = 6$
Now, add and subtract:
$81 – 8 + 6 = 79$

6. Estimate the value of $251.7 + 142.8 - 98.6 + 201.9$

A) 497.8
B) 497.6
C) 497.9
D) 498.0

Show Answer

Correct Answer: A) 497.8
Explanation:
First, add and subtract in order:
$251.7 + 142.8 = 394.5$
$394.5 – 98.6 = 295.9$
$295.9 + 201.9 = 497.8$

7. Solve this simplification $\frac{(25 + 15)}{5} \times 4$

A) 30
B) 32
C) 34
D) 36

Show Answer

Correct Answer: B) 32
Explanation:
First, solve inside the parentheses:
$25 + 15 = 40$
Then, divide:
$\frac{40}{5} = 8$
Now, multiply:
$8 \times 4 = 32$

8. Approximate $762.3 + 537.1 - 428.9 + 256.7$

A) 1125.2
B) 1126.2
C) 1127.2
D) 1128.2

Show Answer

Correct Answer: C) 1127.2
Explanation:
First, add and subtract in order:
$762.3 + 537.1 = 1299.4$
$1299.4 – 428.9 = 870.5$
$870.5 + 256.7 = 1127.2$

9. Simplify $6^3 - 5 \times 8 + 2^5$

A) 206
B) 207
C) 208
D) 209

Show Answer

Correct Answer: C) 208
Explanation:
First, calculate the exponent:
$6^3 = 216$
$2^5 = 32$
Then, multiply:
$5 \times 8 = 40$
Now, subtract and add:
$216 – 40 + 32 = 208$

10. Estimate $1497.34 + 653.12 - 328.55 + 124.67$

A) 1945.58
B) 1946.58
C) 1947.58
D) 1948.58

Show Answer

Correct Answer: B) 1946.58
Explanation:
First, add and subtract in order:
$1497.34 + 653.12 = 2150.46$
$2150.46 – 328.55 = 1821.91$
$1821.91 + 124.67 = 1946.58$

11. Calculate $18 \times 7 + 32 \div 4$

A) 134
B) 135
C) 136
D) 137

Show Answer

Correct Answer: A) 134
Explanation:
First, multiply:
$18 \times 7 = 126$
Then, divide:
$32 \div 4 = 8$
Now, add:
$126 + 8 = 134$

12. Approximate $974.56 + 322.45 - 145.38 + 200.14$

A) 1350.77
B) 1351.77
C) 1352.77
D) 1353.77

Show Answer

Correct Answer: B) 1351.77
Explanation:
First, add and subtract in order:
$974.56 + 322.45 = 1297.01$
$1297.01 – 145.38 = 1151.63$
$1151.63 + 200.14 = 1351.77$

13. Simplify $4^3 - 3^2 + 5^2$

A) 78
B) 79
C) 80
D) 81

Show Answer

Correct Answer: C) 80
Explanation:
First, calculate the exponents:
$4^3 = 64$
$3^2 = 9$
$5^2 = 25$
Now, subtract and add:
$64 – 9 + 25 = 80$

14. Estimate the result of $345.5 + 678.9 \div 12.3$

A) 400.30
B) 400.50
C) 400.70
D) 400.90

Show Answer

Correct Answer: C) 400.70
Explanation:
First, divide:
$678.9 \div 12.3 = 55.22$
Then, add:
$345.5 + 55.22 = 400.70$

15. Solve $8 \times (6 + 5) - 2^4$

A) 70
B) 72
C) 74
D) 76

Show Answer

Correct Answer: B) 72
Explanation:
First, calculate inside the parentheses:
$6 + 5 = 11$
Then, multiply:
$8 \times 11 = 88$
Now, exponentiate:
$2^4 = 16$
Finally, subtract:
$88 – 16 = 72$

16. Approximate $623.4 + 289.7 - 143.9 + 108.6$

A) 877.6
B) 877.7
C) 877.8
D) 877.9

Show Answer

Correct Answer: C) 877.8
Explanation:
First, add and subtract in order:
$623.4 + 289.7 = 913.1$
$913.1 – 143.9 = 769.2$
$769.2 + 108.6 = 877.8$

17. Simplify $5 \times 9 - 3^2 + \frac{42}{6}$

A) 43
B) 44
C) 45
D) 46

Show Answer

Correct Answer: A) 43
Explanation:
First, multiply:
$5 \times 9 = 45$
Then, exponentiate:
$3^2 = 9$
Then, divide:
$\frac{42}{6} = 7$
Now, subtract and add:
$45 – 9 + 7 = 43$

18. Find the approximate value of $457.8 + 311.2 - 150.3 + 92.5$

A) 711.0
B) 711.1
C) 711.2
D) 711.3

Show Answer

Correct Answer: C) 711.2
Explanation:
First, add and subtract in order:
$457.8 + 311.2 = 769.0$
$769.0 – 150.3 = 618.7$
$618.7 + 92.5 = 711.2$

19. Solve this simplification $7^2 - 4^3 + 6 \times 3$

A) 1
B) 2
C) 3
D) 4

Show Answer

Correct Answer: C) 3
Explanation:
First, calculate the exponents:
$7^2 = 49$
$4^3 = 64$
Then, multiply:
$6 \times 3 = 18$
Now, subtract and add:
$49 – 64 + 18 = 3$

20. Approximate $812.67 + 223.44 - 107.89 + 329.12$

A) 1257.34
B) 1257.44
C) 1257.54
D) 1257.64

Show Answer

Correct Answer: A) 1257.34
Explanation:
First, add and subtract in order:
$812.67 + 223.44 = 1036.11$
$1036.11 – 107.89 = 928.22$
$928.22 + 329.12 = 1257.34$

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MCQs on Simplifications & Approximations

[Set - 1]

1. Simplify the expression 14×3+488−72 14 \times 3 + \frac{48}{8} - 7^2 14×3+848​−72

2. Approximate the value of 673.25+189.47−432.15+223.12 673.25 + 189.47 - 432.15 + 223.12 673.25+189.47−432.15+223.12

3. Calculate the result of 7×(5+4)−369 7 \times (5 + 4) - \frac{36}{9} 7×(5+4)−936​

4. Find the approximate result for 1247.89×2.3÷11.7 1247.89 \times 2.3 \div 11.7 1247.89×2.3÷11.7

5. Simplify 92−23+18÷3 9^2 - 2^3 + 18 \div 3 92−23+18÷3

6. Estimate the value of 251.7+142.8−98.6+201.9 251.7 + 142.8 - 98.6 + 201.9 251.7+142.8−98.6+201.9

7. Solve this simplification (25+15)5×4 \frac{(25 + 15)}{5} \times 4 5(25+15)​×4

8. Approximate 762.3+537.1−428.9+256.7 762.3 + 537.1 - 428.9 + 256.7 762.3+537.1−428.9+256.7

9. Simplify 63−5×8+25 6^3 - 5 \times 8 + 2^5 63−5×8+25

10. Estimate 1497.34+653.12−328.55+124.67 1497.34 + 653.12 - 328.55 + 124.67 1497.34+653.12−328.55+124.67

11. Calculate 18×7+32÷4 18 \times 7 + 32 \div 4 18×7+32÷4

12. Approximate 974.56+322.45−145.38+200.14 974.56 + 322.45 - 145.38 + 200.14 974.56+322.45−145.38+200.14

13. Simplify 43−32+52 4^3 - 3^2 + 5^2 43−32+52

14. Estimate the result of 345.5+678.9÷12.3 345.5 + 678.9 \div 12.3 345.5+678.9÷12.3

15. Solve 8×(6+5)−24 8 \times (6 + 5) - 2^4 8×(6+5)−24

16. Approximate 623.4+289.7−143.9+108.6 623.4 + 289.7 - 143.9 + 108.6 623.4+289.7−143.9+108.6

17. Simplify 5×9−32+426 5 \times 9 - 3^2 + \frac{42}{6} 5×9−32+642​

18. Find the approximate value of 457.8+311.2−150.3+92.5 457.8 + 311.2 - 150.3 + 92.5 457.8+311.2−150.3+92.5

19. Solve this simplification 72−43+6×3 7^2 - 4^3 + 6 \times 3 72−43+6×3

20. Approximate 812.67+223.44−107.89+329.12 812.67 + 223.44 - 107.89 + 329.12 812.67+223.44−107.89+329.12

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1. Simplify the expression $14 \times 3 + \frac{48}{8} - 7^2$

2. Approximate the value of $673.25 + 189.47 - 432.15 + 223.12$

3. Calculate the result of $7 \times (5 + 4) - \frac{36}{9}$

4. Find the approximate result for $1247.89 \times 2.3 \div 11.7$

5. Simplify $9^2 - 2^3 + 18 \div 3$

6. Estimate the value of $251.7 + 142.8 - 98.6 + 201.9$

7. Solve this simplification $\frac{(25 + 15)}{5} \times 4$

8. Approximate $762.3 + 537.1 - 428.9 + 256.7$

9. Simplify $6^3 - 5 \times 8 + 2^5$

10. Estimate $1497.34 + 653.12 - 328.55 + 124.67$

11. Calculate $18 \times 7 + 32 \div 4$

12. Approximate $974.56 + 322.45 - 145.38 + 200.14$

13. Simplify $4^3 - 3^2 + 5^2$

14. Estimate the result of $345.5 + 678.9 \div 12.3$

15. Solve $8 \times (6 + 5) - 2^4$

16. Approximate $623.4 + 289.7 - 143.9 + 108.6$

17. Simplify $5 \times 9 - 3^2 + \frac{42}{6}$

18. Find the approximate value of $457.8 + 311.2 - 150.3 + 92.5$

19. Solve this simplification $7^2 - 4^3 + 6 \times 3$

20. Approximate $812.67 + 223.44 - 107.89 + 329.12$