Related division facts and equal groups

Primary 3 Multiplication Tables of 6, 7, 8 and 9 study guide: the whole chapter, step by step

About this subtopic

The idea in brief. The same multiplication fact gives the total, the number of equal groups and the number in each group. Read which of these the question asks for. A division may ask for the number of groups or the number in each group. In the lesson. Last lesson, we built the multiplication tables of 6, 7, 8 and 9 by adding one more group each time. Today, we will use a multiplication fact to find the number of groups or the number in each group. The same multiplication fact gives the total, the number of groups and the number in each group. Check which one the question asks for.

Lesson video, with the working

Related division facts

4 min 08 s

The film teaches 3 questions in turn. Each question shows first; its working is written as the film explains it.

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Today's question

A gardener has 48 seeds. She puts 8 seeds in each tray. How many trays does she use?

  1. 6 × 8 = 48
  2. Number of trays = 48 ÷ 8 = 6

Ans: 6 trays

Example 1 of 2

A gardener shares 56 orchids equally among 7 planters. How many orchids are in each planter?

  1. 7 × 8 = 56
  2. Orchids in each planter = 56 ÷ 7 = 8

Ans: 8 orchids

Example 2 of 2

A gardener has 63 seeds. She puts 9 seeds in each packet. How many packets does she fill?

  1. 7 × 9 = 63
  2. Number of packets = 63 ÷ 9 = 7

Ans: 7 packets

How to solve it
  1. Find what you know: the total, and either the number of groups or the number in each group.
  2. Ask which multiplication fact fits. How many groups of 8 make 48? 6 times 8 is 48.
  3. Divide the total by the number you know: 48 divided by 8 is 6.
  4. Read what the question asks: the number of groups, or the number in each group.
  5. Answer with the unit, for example 6 trays.

The same multiplication fact gives the total, the number of groups and the number in each group. Check which one the question asks for.

Practice questions with worked solutions

Question 1 is free to try. The other 5 open in the free trial, each with its solution film.

Basic

Intermediate

Challenge

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5 more questions, each with its solution film.Answers checked, progress kept, wrong ones come back in revision. No card needed.

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Question 1 of 9 · Basic · free to tryFill in the missing number: ____ ÷ 8 = 6.Fill in the missing number: ____…

Fill in the missing number: ____ ÷ 8 = 6.

Show the working and the answer

Video solution · 1 min 5 s

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Working

  1. Missing total = 6 × 8 = 48

Answer: 48

For parents

How do P3 children solve related division facts questions?

This page teaches how one multiplication fact gives related division facts: 7 times 8 is 56, so 56 divided by 7 is 8 and 56 divided by 8 is 7.

What your child learns here

This page teaches how one multiplication fact gives related division facts: 7 times 8 is 56, so 56 divided by 7 is 8 and 56 divided by 8 is 7. It covers the MOE Primary 3 outcomes on multiplying and dividing within the tables of 6, 7, 8 and 9, and on mental calculation within the tables.

  • Write the family of facts for a table fact: two multiplications and two divisions.
  • Use division to find the number of equal groups, or the number in each group.
  • Decide from the question which of the three numbers is missing: the total, the number of groups, or the number in each group.
  • Read times as many as equal groups, not as more than.
  • Check whether a total can be shared into a given number of equal groups.
Does the answer make sense?

A division answer from these tables should multiply back exactly, so your child can check that the packets filled times the beads in each give the whole 80. When a number of groups is impossible, it is because that number does not go into the total without some left over.

How to practise these questions

The Basic question practises turning a multiplication fact into its related division facts. The Intermediate questions add equal groups and sharing stories that use the 6, 7, 8 and 9 tables. The Challenge question lists several numbers of groups, and your child decides which of them can share the objects equally with none left over. If a division fact is stuck, view its solution film together and come back to it later from Revision. Among the multiple-choice questions, the Basic one asks which picture shows objects shared equally among a number of groups, and the Intermediate ones ask which division has the same value as a given division; each has a written solution and no film.

Questions parents ask

What are related division facts? They are the division facts that come from one multiplication fact. From 6 times 7 is 42 come 42 divided by 6 is 7 and 42 divided by 7 is 6. Knowing one fact gives all of them.

Is division within the times tables in the Primary 3 syllabus? Yes. The MOE Primary 3 syllabus lists multiplying and dividing within the multiplication tables, and mental calculation within them. This page practises both with the tables of 6, 7, 8 and 9.

What does times as many mean in a P3 question? It means equal groups. 4 times as many as 9 is 4 groups of 9, which is 36, not 9 plus 4.