Cluster · Simplification using BODMAS Rule

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Clusters / #1219
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Simplification and BODMAS Order of Operations
Questions
436
Questions in this cluster
436 total
Question Category Subtype Difficulty

Simplify the following.

\(2.2\times0.2\div(0.4\times\frac{1}{2})-\frac{1}{2}\times4(1.04-0.2\times0.2)\)

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The value of 5 + 24 × 8 ÷ 8 of 8 - 8 ÷ 8 × 4 of 4 is equal to:

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Simplify the following:

 \(\frac{3}{2} × \frac{11}{5} \) ÷ (\(\frac{25}{44}  × \frac{11}{5}\))  ÷ \(\frac{33}{15}\) = ?

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Simplify the following expression.

99 - [169 ÷ (13 × 13) - (-4) - {3 - 17 + 10}]

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Simplify 65 ÷ 13 × 4 + (35 ÷ 7 × 9)2 + 100 ÷ 5  of 4 × 80

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Simplify

6 × [ 28 ÷ 84 × {36 × 49 ÷ ( 6 × 7 )}]

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Simplify: \([( {1\over6} \div {1\over9} \times {2\over3}) \times 18 + 5]\)

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The value of (32)2 + 3 × 3 ÷ 3 - 3 is:

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What is the value of the expression 1 - 2 + 3 - 4 + 5 - 6 ..... to 100 terms?

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Simplify:

[\({1\over 5}\) of (35 - 5) + 4]2 - [9 - {7 + (2 - 3)} + 5]2

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If P = 7 \(\times\) 4 - 3, Q = 8 \(\div\) 4 + 2, , and R = 14 \(\div\) 21 \(\times\) 9, then what is the value of PQ+ R ?

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100 ÷ 10 - [-2 + {-9 + (3 - 6 of 2)}] = ________

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Simplify the following expression. [{70 − 60÷ 2 of 6} + (20− 10)÷ 10] + 600÷ 25 of (2 ×3)× (2 of 3) + 2 of 5.

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What is the value of P?

\(P = \frac{1}{3 \times 7} + \frac{1}{7 \times 11} + \frac{1}{11 \times 15} + \dots + \frac{1}{71 \times 75} \)

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Simplify the following expression.
(60 + 64 ÷ 4 of 4) × {1000 ÷ ((10 of (3 + 2)) × 2 of 5)} − 28 + (100 × 3 of 3).

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Simplify:

13 – [7 – (4 + 7) – {7 – (7 – 4 + 7)} + 14]

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(\(5\frac{5}{6}\) ÷ \(3\frac{1}{2}\) of \(10\over21\)) ÷ (\(3\over4\) ÷ \(1\frac{1}{2}\) of \(4\over5\)\(4\over5\) × \(1\over2\)) of \(35\over18\) = ? 

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Evaluate the given expression.

\(\left[ 7 + 9 - 2 \{ \left(3 \div \frac{1}{3} \right) - 3 \} + 27 \div 3 + \left( 27 \div 9 + 3 \right) - 6 \right] + 2\)

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If x = ​​​​\(\frac{1}{2+\frac{3}{4+\frac{5}{6+\frac{7}{8+\frac{9}{10}}}}}\)then which one of the following is correct?

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If \(\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d+\frac{1}{e}}}}}\)\(421\over972\) , then what is the value of a × b × c × d × e?

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Direction: What will come in place of question mark (?) in the following questions?

\(7\dfrac{1}{3}+2\dfrac{1}{2}-1\dfrac{1}{6}+3\dfrac{5}{6}=?+7\dfrac{1}{7}\times14\)

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The value of 72 ÷ 16 of 3 - [28 ÷ 6 of 4 - 20 ÷ 7 × (23 - 37) - 41] × \(1\frac{1}{2}\) is:

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The value of \(\frac{\left(11 \frac{11}{12} \times 1 \frac{3}{13} \div 2 \frac{3}{4} \right) \div \left( \frac{7}{10} \div \left( \frac{3}{4} \times 1 \frac{2}{5} \right) \right)}{\frac{1}{4} \times \frac{2}{3} \times 2 \frac{2}{5}}\) is

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Simplify : \(\frac{\frac{1}{4}+ \frac{1}{4}\left(\frac{1}{4}\right)} {\frac{1}{4}\div \frac{1}{4}\times \frac{1}{4}}\).

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Simplify -

54 + [6 - {( -11) + 15 + (22 × 5 + 1 - 18 × 3)}]

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Simplify the following.

\(1+{3\over7}×[6+8×(3-2)]+[({1\over5}÷{7\over25})-({3\over7}+{4\over14})]\)

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If \([3\frac{6}{7} \div \frac{54}{7}-\{3-(2\frac{3}{4}-\frac{3}{2})\}]+A \div 4 = 0\), then what is the value of A?

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Simplify:

0.077÷7-0.005÷5

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Simplify:

178.01− [86.23 – {40.22 + (28 – 24)}]

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Simplify the following expression.

79 – [6 – {4 – (8 × (6+3))}] ÷2

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What is the value of \(\frac{\left( \frac{1}{4} \div \frac{1}{4} \times \frac{1}{4} \right) \times \frac{1}{4}}{\left( \frac{1}{8} + \frac{1}{8} \times \frac{1}{8} \right)} + \left( 1 - \frac{4}{9} \right)\)?

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The value of 6 × 3 ÷ 8 of 6 - 6 ÷ 4 × (5 - 7) + 5 - 3 × 4 ÷ 6 of 3 is:

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Find the value of \(9\frac{4}{15}\div\frac{7}{8} \ of \ (6\frac{1}{5}+3\frac{2}{5})-(\frac{2}{21}+\frac{1}{126})\)

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What is the value of the given expression?

\(\div\) \(\frac{3}{5}\) + 25(\(\frac{4}{5}\) + \(\frac{3}{15}\)) - 9 of \(\frac{2}{3}\)

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The value of \(1 \div 2 + 3 - 5 \times {1\over3} of 15 - {(75\div(28-3))}\).

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Simplify the following.

24/5 ÷ {15/8 - 5/8(2/4 + 15/8 - 3/5)}

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Find the value of [ \(\frac{1}{4}\) of 18 ÷ \(\frac{6}{5}\)- ( \(\frac{1}{8}\) + \(\frac{7}{4}\) )] × \(\frac{1}{5}\) is:

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Solve:

45 - [ 68 - { 135 ÷ 9 - ( 25 - 60 ÷ 3 ) ÷ 5 }]

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Find the value of (3 + 11) × 4 ÷ (6 + 1) - 21.

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Simplify the following expression.

4 × 7 − 3 {7 × 4 ÷ (6 × 2)}

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Simplify the given expression.

15 - (-5) × {4 - (7 - 3)} ÷ [3 × {5 ÷ (-3) × (-6)}]

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The value of 18 ÷ 6 of 9 × [12 ÷ 3 of (16 x 2 ÷ (11-8))] of (4÷ 2 of 8) is:

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Find the value of the given expression.

\( \frac{\left( 4\frac{1}{3} + 3 \frac{1}{3} \times 1 \frac{4}{5} \div 3 \frac{3}{4} \times \left( 1 \frac{1}{2} + 1 \frac{1}{3} \right) \right)}{\left( \frac{2}{3} \div \frac{5}{6} \times \frac{2}{3} \right) } \)

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Simplify the given expression.

[13 - (-2) × {6 - (7 - 3)}] ÷ [4 × {5 + (-2) × (-6)}]

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The value of \(3\frac{6}{7}\div5\frac{1}{7}\times3\frac{1}{2}\div5\frac{1}{4}\) is :

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Direction: What will come in place of question mark (?) in the following questions?

\(7\dfrac{1}{3}+2\dfrac{1}{2}-1\dfrac{1}{6}+3\dfrac{5}{6}=?+7\dfrac{1}{7}\times14\)

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Find the value of

\(18-[6÷3×[8-(10×{1\over2})]]\)

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Simplify:

\({1.8+2\times{3\over2}\times{1\over2}} \left\{{2\over5}\div{\big({3\over5}\times{2\over3}\big)}\times{3\over2}-1\right\}\)

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The value of (279÷31) + (363÷33) - (512 ÷ 16) is:

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Simplify the following expression:

133 ÷ 19 × 3 - 48 × 2 ÷ 24 + 841 ÷ [ {45 - 16 } ]  

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