PracticeQuestionsYears 1–7
← Mathematics

Additive and multiplicative relationships

Year 6 · Upper Key Stage 2 · 6AS/MD-1, 6AS/MD-2 — Numbers related additively or multiplicatively; derive related calculations

Draft — awaiting teacher review

Builds on: Fact families and splitting numbers to multiply (Year 4), Written multiplication and short division (Year 5)

I

Concept Anchor

Two numbers can be compared by how much bigger (add) or how many times bigger (multiply). A known calculation can be adjusted: 45 × 13 is one more 45 than 45 × 12.

Worked example

45×12=54045 \times 12 = 540. Find 45×1345 \times 13.

  1. 1.13 lots of 45 is 12 lots plus one more lot.
  2. 2.540 + 45 = 585.
II

Guided Check

36×5=18036 \times 5 = 180. What is 36×5036 \times 50?

    III

    Independent Diagnostic Practice

    Q1Year 66AS/MD-2 — Derive a related product·Fluency·●○○Draft — awaiting teacher review

    45×12=54045 \times 12 = 540. Use this to find 45×1345 \times 13.

    Q2Year 66AS/MD-2 — Inverse of an addition·Reasoning·●●○Draft — awaiting teacher review

    2.4+3.7=6.12.4 + 3.7 = 6.1. Use this to find 6.1−3.76.1 - 3.7.

    Q3Year 66AS/MD-1 — Additive or multiplicative?·Problem Solving·●●●Draft — awaiting teacher review

    Plant A grows from 4 cm to 12 cm. Plant B grows from 10 cm to 18 cm. Which statement is true?