MATHEMATICS - LITERAL EQUATIONS

Literal Equations Worksheet

  • 10 questions
  • Understand that a situation can be represented either in words or as a formula (mixed operations), and manipulate using knowledge of inverse operations to change the subject of a formula.
  • Difficulty: Easy
  • Board: CAIE
  • Attempt online on the examination portal

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

Q1.

A delivery time is found by multiplying the distance d by 3 and then adding 5. Which formula represents the delivery time t?

  1. A) t = 3d + 5
  2. B) t = d + 8
  3. C) t = 5d + 3
  4. D) t = 3(d + 5)

Q2.

Make k the subject of F = 3k − 8.

  1. A) k = (F − 8)/(3)
  2. B) k = (F + 8)/(3)
  3. C) k = 3F + 8
  4. D) k = (3)/(F + 8)

Q3.

To make x the subject of y = 4x + 7, which inverse operation should be used first?

  1. A) Divide both sides by 7.
  2. B) Add 7 to both sides.
  3. C) Multiply both sides by 4.
  4. D) Subtract 7 from both sides.

Q4.

A theatre charges a fixed fee f and a price p for each of n tickets. Which formula gives the total cost C?

  1. A) C = f + pn
  2. B) C = (f + p)n
  3. C) C = fp + n
  4. D) C = f − pn

Q5.

The area of a triangle is given by A = bh/2. Which formula has h as the subject?

  1. A) h = A/2b
  2. B) h = 2b/A
  3. C) h = 2A − b
  4. D) h = 2A/b

Q6.

Make r the subject of q = 5(r − 2).

  1. A) r = 5q + 2
  2. B) r = 5/q + 2
  3. C) r = q/5 + 2
  4. D) r = q/5 − 2

Q7.

The volume of a cuboid is given by V = lwh. Which formula makes w the subject?

  1. A) w = V − l − h
  2. B) w = lh/V
  3. C) w = V/lh
  4. D) w = Vh/l

Q8.

The mean of two numbers is represented by m = (a + b)/(2). Which formula makes b the subject?

  1. A) b = 2(m − a)
  2. B) b = 2m − a
  3. C) b = m/2 − a
  4. D) b = a − 2m

Q9.

The diagram shows a rectangle and its perimeter formula. Which formula makes the width w the subject?

Diagram for question 9: The diagram shows a rectangle and its perimeter formula. Which formula makes the width w the subject?
  1. A) w = P/2 − l
  2. B) w = P − 2l
  3. C) w = (P − l)/(2)
  4. D) w = 2P − l

Q10.

The flow diagram shows how input x becomes output y. Which formula makes x the subject?

Diagram for question 10: The flow diagram shows how input x becomes output y. Which formula makes x the subject?
  1. A) x = 3y − 4
  2. B) x = (y − 4)/(3)
  3. C) x = y/3 − 4
  4. D) x = y/3 + 4

What this assessment covers

Concepts Tested

  • literal equations
  • Understand that a situation can be represented either in words or as a formula (mixed operations), and manipulate using knowledge of inverse operations to change the subject of a formula.

Question Mix

  • Easy questions included

Skills you build

  • Remember

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