MathsFreePrintable
Mathematical Concepts Exploration
A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Name:Date:
Mathematical Concepts Exploration
Help Tahnee and Mason solve a set of number puzzles at a bookshop. Show your working where needed. Use Australian dollars ($).
Number detective
Use factors, multiples and number properties to crack the clues.
1.A bookshop order has 36 books. List all the positive factor pairs of 36, then write the full list of positive factors.
2.Which number is prime: 21, 29, 33 or 39? Explain how you know.
- 21
- 29
- 33
- 39
3.A display card shows book prices of −$4, $0 and $3 relative to a $12 reference price: negative values mean below the reference and positive values mean above it. Put the values in order from least to greatest.
4.Amira has 3 packs of book tokens. Each pack contains 12 tokens, and she shares them equally among 5 volunteers. How many tokens does each volunteer get, and how many are left over?
5.A $40 book is marked down by one quarter of its price. What is the discount, and what is the sale price?
Crack the puzzles
Look for patterns and explain your reasoning.
6.I am a positive whole number less than 20. I am odd, not prime, and have exactly three positive factors. What number am I? Show why it fits.
7.Tahnee says, “Every square number has an odd number of positive factors.” Is she correct? Use 16 to support your answer.
TrueFalse
8.Mason writes this pattern on a price label: 4, 8, 16, 32, __. Each term is multiplied by the same number. Fill the blank and state the rule.
9.Write a riddle for a number from 10 to 30. Include at least two clues about its factors, whether it is prime or composite, or whether it is odd or even. Then give the answer to your own riddle.
2 printable pages
Page 1
Page 2
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
More Maths Worksheets
Year 4
Symmetrical Patterns Exploration
Free
Year 1–2
Time Celebration Assessment
Free
Year 10
Conditional Probability Exploration
Free
Prep
Volume Exploration Worksheet
Free
Year 3–4
Comparing Time Durations
Free
Quadrilateral Exploration Worksheet
Free
Year 9
Rational Numbers Worksheet
Free
Year 5–6