MathsFreePrintable
Mastering Operations Challenge
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:
Mastering Operations Challenge
Show your working for calculation questions. Use NZ dollars where needed, and include units in your answers.
Financial calculations
1.A loan of NZ$12,500 earns simple interest at 5.2% per year. How much interest accrues over 3 years?
2.The borrower repays the loan from the previous question, including its simple interest, in equal monthly instalments over 3 years. Approximately how much is each instalment, to the nearest cent?
3.Estimate the monthly instalment from the previous question by rounding NZ$14,450 to NZ$14,400. Explain the quick calculation you use.
4.A club owes NZ$9,360 and can pay NZ$390 each month. How many monthly payments will clear the debt if there is no extra interest or fee?
Powers and patterns
5.For the rule bₙ = 3ⁿ + 2ⁿ, calculate b₁, b₂, b₃ and b₄.
6.Using bₙ = 3ⁿ + 2ⁿ, find the positive integer n for which bₙ = 13. Show how you know.
7.For the sequence bₙ = 3ⁿ + 2ⁿ, calculate the differences b₂ − b₁, b₃ − b₂ and b₄ − b₃. What do you notice about the differences?
Ratios, recipes and scale
Servings
8
20
Stock (mL)
600
?
8.Use the equivalent-ratio table to calculate the stock needed for 20 servings.
9.A community lunch needs 240 servings of the soup. The recipe uses 600 mL of stock for 8 servings. Stock comes in 2 L cartons. How many whole cartons must be bought?
Plan length
Plan width
9 cm
6 cm
10.Use the scale drawing table to find the garden’s actual length and width in metres.
11.Give one different method you could use to check the garden dimensions calculated from the 1:40 scale drawing.
3 printable pages
Page 1
Page 2
Page 3
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 7
Proportion and Ratios Worksheet
Free
Year 4
Probability Vocabulary Exploration
Free
Year 8
Formulae Exploration Worksheet
Free
Year 9
Integer Operations Practice
Free
Year 10
Tessellation Pattern Exploration
Free
Year 3–4
Basic Probability Exploration
Free
Year 7
Time Duration Problem Cards
Free
Year 4