Today’s paper

Symbols and operations

Ten reasoning questions, each marked as you answer.

  1. If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 52 × 3 ÷ 2 − 20 + 4?
    Question 1
    Answer and working

    Answer B

    Replace the signs: 52 + 3 − 2 × 20 ÷ 4. Division and multiplication first, then addition and subtraction: 45.

  2. If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 54 × 2 + 2 − 7 ÷ 4?
    Question 2
    Answer and working

    Answer B

    Replace the signs: 54 − 2 ÷ 2 × 7 + 4. Division and multiplication first, then addition and subtraction: 51.

  3. If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 33 − 8 + 3 × 3 ÷ 3?
    Question 3
    Answer and working

    Answer C

    Replace the signs: 33 + 8 − 3 ÷ 3 × 3. Division and multiplication first, then addition and subtraction: 38.

  4. If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 36 ÷ 6 + 10 × 5 − 8?
    Question 4
    Answer and working

    Answer B

    Replace the signs: 36 − 6 × 10 ÷ 5 + 8. Division and multiplication first, then addition and subtraction: 32.

  5. If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 9 − 5 + 12 × 2 ÷ 12?
    Question 5
    Answer and working

    Answer B

    Replace the signs: 9 + 5 × 12 ÷ 2 − 12. Division and multiplication first, then addition and subtraction: 27.

  6. If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 56 − 2 × 4 + 3 ÷ 4?
    Question 6
    Answer and working

    Answer D

    Replace the signs: 56 ÷ 2 − 4 × 3 + 4. Division and multiplication first, then addition and subtraction: 20.

  7. If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 11 − 2 ÷ 9 + 6 × 3?
    Question 7
    Answer and working

    Answer B

    Replace the signs: 11 + 2 × 9 − 6 ÷ 3. Division and multiplication first, then addition and subtraction: 27.

  8. If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 8 − 7 ÷ 4 × 2 + 2?
    Question 8
    Answer and working

    Answer A

    Replace the signs: 8 × 7 + 4 − 2 ÷ 2. Division and multiplication first, then addition and subtraction: 59.

  9. If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 10 ÷ 7 × 12 − 17 + 2?
    Question 9
    Answer and working

    Answer A

    Replace the signs: 10 − 7 + 12 × 17 ÷ 2. Division and multiplication first, then addition and subtraction: 105.

  10. If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 7 × 8 − 10 + 20 ÷ 2?
    Question 10
    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.