Reasoning

Mathematical Operations: Practice Questions with Answers

11 practice questions on Mathematical Operations, with answers; most also have an explanation or a worked solution. Try each one before you open its answer.

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1. Q.1

   Using the same key, find the value of: 12 + 4 − 5 × 2 ÷ 1

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   Answer: 16

   Solution:

   1. Substitute: 12 ÷ 4 × 5 + 2 − 1.
   2. Division and multiplication first, left to right: 12 ÷ 4 = 3, then 3 × 5 = 15.
   3. Addition and subtraction: 15 + 2 = 17, then 17 − 1 = 16.

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2. Q.2

   If '+' means '÷', '−' means '×', '×' means '+', and '÷' means '−', find the value of: 20 + 4 − 3 × 6 ÷ 2

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   Answer: 19

   Solution:

   1. Substitute: 20 ÷ 4 × 3 + 6 − 2.
   2. Division and multiplication first: 20 ÷ 4 = 5, then 5 × 3 = 15.
   3. Addition and subtraction: 15 + 6 = 21, then 21 − 2 = 19.

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3. Q.3

   Using the same key ('+'='÷', '−'='×', '×'='+', '÷'='−'), find the value of: 15 × 5 ÷ 10 − 2 + 4

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   Answer: 15

   Solution:

   1. Substitute: 15 + 5 − 10 × 2 ÷ 4.
   2. Multiplication and division first: 10 × 2 = 20, then 20 ÷ 4 = 5.
   3. Addition and subtraction: 15 + 5 = 20, then 20 − 5 = 15.

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4. Q.4

   Using the same key, find the value of: 12 + 6 − 4 × 3 ÷ 2

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   Answer: 9

   Solution:

   1. Substitute: 12 ÷ 6 × 4 + 3 − 2.
   2. Division and multiplication first: 12 ÷ 6 = 2, then 2 × 4 = 8.
   3. Addition and subtraction: 8 + 3 = 11, then 11 − 2 = 9.

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5. Q.5

   Using the same key, find the value of: 18 − 6 + 4 × 2 ÷ 1

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   Answer: 28

   Solution:

   1. Substitute: 18 × 6 ÷ 4 + 2 − 1.
   2. Multiplication and division first: 18 × 6 = 108, then 108 ÷ 4 = 27.
   3. Addition and subtraction: 27 + 2 = 29, then 29 − 1 = 28.

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6. Q.6

   Using the same key, find the value of: 20 − 4 + 8 ÷ 3 × 2

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   Answer: 9

   Solution:

   1. Substitute: 20 × 4 ÷ 8 − 3 + 2.
   2. Multiplication and division first, left to right: 20 × 4 = 80, then 80 ÷ 8 = 10.
   3. Addition and subtraction: 10 − 3 = 7, then 7 + 2 = 9.

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7. Q.7

   Using the same key, find the value of: 18 − 3 × 4 ÷ 2 + 1

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   Answer: 56 (18×3=54, 2÷1=2, so 54+4−2=56)

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8. Q.8

   Using the same key ('+'='÷', '−'='×', '×'='+', '÷'='−'), find the value of: 24 + 8 − 2 × 5 ÷ 1

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   Answer: 10

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9. Q.9

   Using the same key, find the value of: 16 + 4 − 3 × 2 ÷ 1

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   Answer: 13

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10. Q.10

    Using the same key, find the value of: 16 + 8 × 6 − 2 ÷ 5

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    Answer: 9

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11. Q.11

    Using the same key, find the value of: 24 + 6 × 2 ÷ 3 − 1

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    Answer: 3 (24÷6=4, 3×1=3, so 4+2−3=3)

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