MATHEMATICS - ONE STEP EQUATIONS

One Step Equations Worksheet

  • 10 questions
  • Understand that a situation can be represented either in words or as an equation. Move between the two representations and solve the equation (integer coefficients, unknown on one side).
  • Difficulty: Medium
  • Board: CAIE
  • Attempt online on the examination portal

Here are the first 3 questions. Click “View all questions” to see the complete assessment.

Q1.

Maya has an unknown number of stickers. She receives 8 more stickers and then has 23 stickers. Which equation and solution represent this situation?

  1. A) x + 8 = 23, x = 31
  2. B) x + 8 = 23, x = 15
  3. C) x − 8 = 23, x = 31
  4. D) x + 23 = 8, x = − 15

Q2.

The equation 5n = 40 represents a situation. Which description and solution are correct?

  1. A) A number n is increased by 5 to make 40; n = 35.
  2. B) Five equal boxes each contain n counters and contain 40 counters altogether; n = 8.
  3. C) A number n is decreased by 5 to make 40; n = 45.
  4. D) Five equal boxes each contain n counters and contain 40 counters altogether; n = 45.

Q3.

Aisha had p beads. She used 6 beads and had 14 left. Which equation represents the situation, and what is p?

  1. A) p − 6 = 14, p = 20
  2. B) 14 − p = 6, p = 20
  3. C) 6p = 14, p = 20
  4. D) p + 6 = 14, p = 8

Q4.

Which statement correctly describes and solves m + 12 = 31?

  1. A) The number m is multiplied by 12 to make 31, so m = 19.
  2. B) The number m is increased by 12 to make 31, so m = 19.
  3. C) The number m is decreased by 12 to make 31, so m = 19.
  4. D) The number m is increased by 12 to make 31, so m = 43.

Q5.

A regular pentagon has five equal sides, each of length s centimetres. Its perimeter is 45 cm. Which equation and solution represent this information?

  1. A) 5s = 45, s = 9
  2. B) 5s = 45, s = 40
  3. C) s − 5 = 45, s = 50
  4. D) s + 5 = 45, s = 40

Q6.

The equation a − 15 = 27 models a situation. Which situation and value of a match the equation?

  1. A) A box initially held a oranges. After 15 were added, there were 27; a = 12.
  2. B) A box initially held a oranges. After 15 were removed, 27 remained; a = 42.
  3. C) A box held 15 oranges. After a more were added, there were 27; a = 12.
  4. D) A box initially held a oranges. After 27 were removed, 15 remained; a = 12.

Q7.

A teacher arranges 54 books equally on 6 shelves. If b is the number of books on each shelf, which equation and solution are correct?

  1. A) 6b = 54, b = 9
  2. B) b + 6 = 54, b = 48
  3. C) b − 6 = 54, b = 60
  4. D) 6b = 54, b = 48

Q8.

Which situation correctly represents x + 18 = 50 and gives the correct value of x?

  1. A) A tank contained x litres. After 18 L were added, it contained 50 L; x = 32.
  2. B) A tank contained x litres. After 18 L were added, it contained 50 L; x = 68.
  3. C) A tank containing 50 L was divided into 18 equal parts of x litres; x = 32.
  4. D) A tank contained x litres. After 18 L were removed, it contained 50 L; x = 32.

Q9.

The balanced scale in the figure represents an equation. Which equation and solution match the figure?

Diagram for question 9: The balanced scale in the figure represents an equation. Which equation and solution match the figure?
  1. A) x − 3 = 15, x = 18
  2. B) 3x = 15, x = 5
  3. C) x + 3 = 15, x = 12
  4. D) x + 15 = 3, x = − 12

Q10.

The arrow on the number line shows a move from the unknown starting value to the ending value. Which equation and solution represent the move?

Diagram for question 10: The arrow on the number line shows a move from the unknown starting value to the ending value. Which…
  1. A) x + 7 = 18, x = 11
  2. B) 7x = 18, x = 25
  3. C) x − 18 = 7, x = 11
  4. D) x − 7 = 18, x = 25

What this assessment covers

Concepts Tested

  • one step equations
  • Understand that a situation can be represented either in words or as an equation. Move between the two representations and solve the equation (integer coefficients, unknown on one side).

Question Mix

  • Medium questions included

Skills you build

  • Understand

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