Success TutoringWorksheets
WorksheetYear 11Level 1 · Easier

Free Year 11 Logarithms and Exponential Equations Worksheet — Level 1

Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. Builds confidence with the core skill before adding complexity. This Year 11 worksheet has 12 questions and comes with a full answer sheet showing the working for every question.

Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.

Instant download · No sign-up · Free for personal, classroom and homeschool use

Year
Year 11
Subject
Maths
Topic
Exponentials & Logarithms
Difficulty
Level 1 · Easier
Estimated time
15 minutes
Curriculum
New Zealand Curriculum
Questions
12
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practise

  • converting between index and logarithm form
  • evaluating logarithms
  • using the log laws

Curriculum: New Zealand Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Year 11 Logarithms and Exponential Equations Worksheet — Level 1

  1. 1Year 11 Logarithms and Exponential Equations Worksheet — Level 2
  2. 2Year 11 Logarithms and Exponential Equations Worksheet — Level 3
  3. 3Year 11 Arithmetic and Geometric Sequences Worksheet — Level 1
  4. 4Year 11 Arithmetic and Geometric Sequences Worksheet — Level 2
Harder: Level 2 · Standard →Study guide

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

Year 11 students (typically ages 15–16) working on exponentials & logarithms. It is pitched at level 1 · easier; a harder version is linked above.

Are the answers included?

Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.

How long does it take?

About 15 minutes for 12 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Try Year 11 Logarithms and Exponential Equations Worksheet — Level 2.

Preview

Success TutoringWorksheetsYear 11 · Mathematics · Exponentials & Logarithms

Year 11 Logarithms and Exponential Equations Worksheet — Level 1

Name

Date

Score /

logₐ y = x means ax = y. Log laws: log a + log b = log ab; log a − log b = log (a ÷ b); log aⁿ = n log a.

1.Write 54 = 625 in logarithm form. (answer space)
2.Write 103 = 1000 in logarithm form. (answer space)
3.Evaluate log₅ 125. (answer space)
4.Write 23 = 8 in logarithm form. (answer space)
5.Evaluate log₅ 625. (answer space)
6.Evaluate log₁₀ 100. (answer space)
7.Evaluate log₃ 27. (answer space)
8.Evaluate log₂ 16. (answer space)
9.Evaluate log₅ 25. (answer space)
10.Write 33 = 27 in logarithm form. (answer space)
11.Write 27 = 128 in logarithm form. (answer space)
12.Write 51 = 5 in logarithm form. (answer space)
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Preview — the PDF contains the full resource and answer sheet.

More Year 11 exponentials & logarithms resources

  • Worksheet

    Year 11 Logarithms and Exponential Equations Worksheet — Level 2

    Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. Expected-level practice for…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 11 Logarithms and Exponential Equations Worksheet — Level 3

    Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. A challenge set for students…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included

Exponentials & Logarithms in other year levels

Was this resource helpful?

About this resource

Created by
Success Tutoring Maths Team
Reviewed by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Generated by checked procedures

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.