Symbols and operations
Ten reasoning questions, each marked as you answer.
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If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 52 × 3 ÷ 2 − 20 + 4?
Answer and working
Answer B
Replace the signs: 52 + 3 − 2 × 20 ÷ 4. Division and multiplication first, then addition and subtraction: 45.
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If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 54 × 2 + 2 − 7 ÷ 4?
Answer and working
Answer B
Replace the signs: 54 − 2 ÷ 2 × 7 + 4. Division and multiplication first, then addition and subtraction: 51.
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If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 33 − 8 + 3 × 3 ÷ 3?
Answer and working
Answer C
Replace the signs: 33 + 8 − 3 ÷ 3 × 3. Division and multiplication first, then addition and subtraction: 38.
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If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 36 ÷ 6 + 10 × 5 − 8?
Answer and working
Answer B
Replace the signs: 36 − 6 × 10 ÷ 5 + 8. Division and multiplication first, then addition and subtraction: 32.
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If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 9 − 5 + 12 × 2 ÷ 12?
Answer and working
Answer B
Replace the signs: 9 + 5 × 12 ÷ 2 − 12. Division and multiplication first, then addition and subtraction: 27.
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If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 56 − 2 × 4 + 3 ÷ 4?
Answer and working
Answer D
Replace the signs: 56 ÷ 2 − 4 × 3 + 4. Division and multiplication first, then addition and subtraction: 20.
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If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 11 − 2 ÷ 9 + 6 × 3?
Answer and working
Answer B
Replace the signs: 11 + 2 × 9 − 6 ÷ 3. Division and multiplication first, then addition and subtraction: 27.
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If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 8 − 7 ÷ 4 × 2 + 2?
Answer and working
Answer A
Replace the signs: 8 × 7 + 4 − 2 ÷ 2. Division and multiplication first, then addition and subtraction: 59.
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If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 10 ÷ 7 × 12 − 17 + 2?
Answer and working
Answer A
Replace the signs: 10 − 7 + 12 × 17 ÷ 2. Division and multiplication first, then addition and subtraction: 105.
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If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 7 × 8 − 10 + 20 ÷ 2?
Answer and working
Answer B
Replace the signs: 7 − 8 × 10 ÷ 20 + 2. Division and multiplication first, then addition and subtraction: 5.
More reasoning: Number and letter series, Coding and decoding, Analogies, Odd one out, Blood relations, Direction sense.