Ages 13–14 · Grades 8–9 · A4 · Answer keys

Young GeniusesPrintable Worksheets

Linear equations, simultaneous equations, geometry, probability, and statistics for early secondary. Every PDF prints cleanly on A4 with a separate, clearly-labelled answer-key file.

  • 20 Free PDFs
  • 6 Worksheet Types
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  • Up to 5 XP / sheet
  • No sign-up

Worksheet types for Young Geniuses

Every format prints cleanly on A4. Tap a type to jump to the filter.

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20 of 20 worksheets

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20 worksheets for Young Geniuses

Choose any sheet — pick a difficulty on the card and download the PDF instantly

  • Fill-inNew

    Young Geniuses · Ages 13 to 14

    Surds and Indices Fill-in

    Simplify surds and apply the laws of indices. A Grade 8–9 algebra worksheet with five levels and answer keys.

    10 questions+5 XP

    Difficulty

    A4 · 10 Q · Key incl. · StarterPDF
  • Fill-inNew

    Young Geniuses · Ages 13 to 14

    Circle Theorems Fill-in

    Find missing angles using circle theorems. A Grade 8–9 geometry worksheet with five levels and answer keys.

    10 questions+5 XP

    Difficulty

    A4 · 10 Q · Key incl. · StarterPDF
  • WordNew

    Young Geniuses · Ages 13 to 14

    Compound Interest Word Problems

    Apply the compound interest formula in real-world contexts. A Grade 8–9 financial maths worksheet with answer keys.

    6 problems+5 XP

    Difficulty

    A4 · 6 Q · Key incl. · StarterPDF
  • WordNew

    Young Geniuses · Ages 13 to 14

    Velocity and Acceleration Word Problems

    Solve kinematics problems to find velocity and distance. A Grade 8–9 mechanics worksheet with answer keys.

    6 problems+5 XP

    Difficulty

    A4 · 6 Q · Key incl. · StarterPDF
  • Multiple ChoiceNew

    Young Geniuses · Ages 13 to 14

    Vectors MCQ

    Work with vector notation, magnitude and resultants, choosing from four options. A Grade 8–9 vectors worksheet with answer keys.

    8 questions+5 XP

    Difficulty

    A4 · 8 Q · Key incl. · StarterPDF
  • Multiple ChoiceNew

    Young Geniuses · Ages 13 to 14

    Polynomial Operations MCQ

    Expand and operate on polynomials, choosing the correct result from four options. A Grade 8–9 algebra worksheet with answer keys.

    8 questions+5 XP

    Difficulty

    A4 · 8 Q · Key incl. · StarterPDF
  • GraphNew

    Young Geniuses · Ages 13 to 14

    Cumulative Frequency Graph

    Read and interpret a cumulative frequency curve. A Grade 8–9 statistics worksheet with answer keys.

    5 graphs+5 XP

    Difficulty

    A4 · 5 Q · Key incl. · StarterPDF
  • GraphNew

    Young Geniuses · Ages 13 to 14

    Box Plot Analysis

    Read box-and-whisker plots and find the IQR and range. A Grade 8–9 statistics worksheet with answer keys.

    5 graphs+5 XP

    Difficulty

    A4 · 5 Q · Key incl. · StarterPDF
  • Fill-inNew

    Young Geniuses · Ages 13 to 14

    Logarithms Fill-in

    Evaluate logarithm expressions and fill in the answers. A Grade 8–9 algebra worksheet with answer keys.

    10 questions+5 XP

    Difficulty

    A4 · 10 Q · Key incl. · StarterPDF
  • Fill-inNew

    Young Geniuses · Ages 13 to 14

    Matrix Operations Fill-in

    Add and multiply 2×2 matrices and fill in the resulting matrix. A Grade 8–9 algebra worksheet with answer keys.

    6 questions+5 XP

    Difficulty

    A4 · 6 Q · Key incl. · StarterPDF
  • WordNew

    Young Geniuses · Ages 13 to 14

    Conditional Probability Word Problems

    Solve conditional probability problems in context. A Grade 8–9 statistics worksheet with answer keys.

    6 problems+5 XP

    Difficulty

    A4 · 6 Q · Key incl. · StarterPDF
  • WordNew

    Young Geniuses · Ages 13 to 14

    Proof by Induction Word Problems

    Structure a proof by induction and verify the base case. A Grade 8–9 reasoning worksheet with answer keys.

    6 problems+5 XP

    Difficulty

    A4 · 6 Q · Key incl. · StarterPDF
  • MatchNew

    Young Geniuses · Ages 13 to 14

    Transformation of Functions Match

    Match each function transformation to its effect on the graph. A Grade 8–9 functions worksheet with answer keys.

    4 pairs+5 XP

    Difficulty

    A4 · 8 Q · Key incl. · StarterPDF
  • GraphNew

    Young Geniuses · Ages 13 to 14

    Normal Distribution Graph

    Read areas under a normal distribution curve using the 68–95–99.7 rule. A Grade 8–9 statistics worksheet with answer keys.

    5 graphs+5 XP

    Difficulty

    A4 · 5 Q · Key incl. · StarterPDF
  • Multiple ChoiceNew

    Young Geniuses · Ages 13 to 14

    Binomial Expansion MCQ

    Expand binomials using the binomial theorem, choosing from four options. A Grade 8–9 algebra worksheet with answer keys.

    8 questions+5 XP

    Difficulty

    A4 · 8 Q · Key incl. · StarterPDF
  • Multiple ChoiceNew

    Young Geniuses · Ages 13 to 14

    Rates of Change MCQ

    Interpret gradient as a rate of change, choosing from four options. A Grade 8–9 algebra worksheet with answer keys.

    8 questions+5 XP

    Difficulty

    A4 · 8 Q · Key incl. · StarterPDF

Also: 15 free interactive games for Young Geniuses

Browser-based games — Speed, Arcade, Drag-Drop, Memory, Escape Room and more. No download, no sign-up.

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Free Printable Math Worksheets for Ages 13 to 14 — Young Geniuses

Young Geniuses is Fun Math Kids' dedicated library of 20 free printable math worksheets for children Ages 13 to 14. Every PDF is purpose-built for this age group, mapped to the relevant primary or secondary expectations across the US Common Core, the UK National Curriculum, the Australian Curriculum, and the Canadian provincial standards.

Worksheets span the full library of print-friendly formats — classic fill-in equations, illustrated word problems, partial-fill grids, match-the-fact pairs, true/false rows, multiple-choice questions, tracing pages for the youngest learners, colour-by-number reinforcement, number-line activities, and graph-reading sheets. Every sheet prints cleanly on A4 in black and white with a clearly labelled answer-key PDF on a separate file, ready for the family printer or a school photocopier.

Questions are generated fresh on every download, so children can practise the same skill many times over the course of a year without ever seeing the same numbers. All worksheets are free with no account required and pair naturally with our 15 matching online games for the same age group — perfect for screen-and-paper variety, classroom centres, or homework time.

Common questions

What ages is Young Geniuses for?
Young Geniuses content is built for ages Ages 13 to 14.
Are these worksheets free?
Yes — every worksheet is free to download with no sign-up.
Do the PDFs include answer keys?
Yes. Every level has its own clearly labelled answer-key PDF.
Are the questions different every time?
Yes. Questions are generated fresh on every download.