Nav Logo

MULTIPLICATION HELP

The Hardest Multiplication Facts and How to Practice Them

The Hardest Multiplication Facts and How to Practice Them

The Hardest Multiplication Facts and How to Practice Them

Many children learn the 2s, 5s, and 10s quickly because those fact families contain familiar patterns. Facts involving 6, 7, 8, and 9 may require more focused practice. The goal is not to create pressure, but to help children develop accurate and confident recall one fact at a time.

Many children learn the 2s, 5s, and 10s quickly because those fact families contain familiar patterns. Facts involving 6, 7, 8, and 9 may require more focused practice. The goal is not to create pressure, but to help children develop accurate and confident recall one fact at a time.

Facts such as 6 × 7, 7 × 8, 6 × 8, 7 × 9, and 8 × 9 often require additional practice because their answers are less obvious and can be confused with nearby facts.

Facts such as 6 × 7, 7 × 8, 6 × 8, 7 × 9, and 8 × 9 often require additional practice because their answers are less obvious and can be confused with nearby facts.

Why Some Multiplication Facts Feel Harder

Why Some Multiplication Facts Feel Harder

A fact may feel difficult when it has less obvious counting patterns, looks similar to another fact, or has simply not been practiced as often. Every child’s difficult facts can be different, so it helps to notice patterns without assuming everyone struggles in the same way.

Start by Finding Your Child’s Difficult Facts

Start by Finding Your Child’s Difficult Facts

Use a small set of mixed flashcards with no excessive time pressure. After a few rounds, sort each fact by how it feels right now:

Automatic — answered comfortably and accurately

Developing — correct with a short pause or a helpful strategy

Needs focused practice — not yet consistent or often confused

Practice 6 × 7 = 42

Practice 6 × 7 = 42

Begin with a familiar fact, then add one equal group:

5 × 7 = 35
Add one more group of 7
35 + 7 = 42

Practice 7 × 8 = 56

Practice 7 × 8 = 56

A doubling connection makes this fact easier to build:

7 × 4 = 28
Double 28
7 × 8 = 56

The commutative fact 8 × 7 = 56 is the same product, so it can be practiced as a familiar partner.

Practice 6 × 8 = 48

Practice 6 × 8 = 48

5 × 8 = 40
Add one more group of 8
40 + 8 = 48

Practice 7 × 9 = 63

Practice 7 × 9 = 63

7 × 10 = 70
Subtract one group of 7
70 − 7 = 63

Practice 8 × 9 = 72

Practice 8 × 9 = 72

8 × 10 = 80
Subtract one group of 8
80 − 8 = 72

Use Known Facts to Learn New Facts

Use Known Facts to Learn New Facts

Children can use 2s, 5s, 10s, doubles, and the commutative property to reason through an unfamiliar fact. These connections give a fact meaning before recall becomes automatic.

Practice Both Directions

Practice Both Directions

6 × 7 and 7 × 6 have the same product, but children should be able to recognize both forms. The commutative property means they are connected—not unrelated facts that must be memorized separately.

A Five-Minute Difficult-Facts Routine

A Five-Minute Difficult-Facts Routine

1 minute: Review three known facts

2 minutes: Practice two or three difficult facts

1 minute: Mix the difficult facts with known facts

1 minute: Record progress and end with a successful fact

When to Add Timed Practice

When to Add Timed Practice

Timing should begin only after a child can answer accurately. Start with a comfortable response time, then reduce it gradually as confidence develops. Accuracy and calm recall come first.

Common Mistakes to Avoid

Common Mistakes to Avoid

Avoid practicing every difficult fact simultaneously, repeating incorrect answers without correction, using speed as the only measure of progress, making sessions too long, or comparing children. Small, supported wins build stronger recall.

Frequently Asked Questions

Frequently Asked Questions

What are usually the hardest multiplication facts? Facts involving 6, 7, 8, and 9 are often less immediately familiar, but the specific facts vary by child.

Should my child memorize or use strategies? Use strategies first. They build understanding and help recall become faster with practice.

How many difficult facts should we practice at once? Two or three focused facts are usually enough for a short session.

What if my child keeps confusing similar answers? Return to a strategy, say the matching equation aloud, and mix it with a few known facts before trying again.

About the Educator

Michael Lary has approximately 15 years of classroom teaching experience and more than 20 years of tutoring experience. He created For Real Learning to give children clear, structured ways to strengthen foundational math skills.

Help Your Child Build Faster Fact Recall

Help Your Child Build Faster Fact Recall

Master Multiplication Facts 0–12 provides step-by-step lessons, timed flashcards, printable worksheets, and progress tracking for structured multiplication practice.

Master Multiplication Facts 0–12 provides step-by-step lessons, timed flashcards, printable worksheets, and progress tracking for structured multiplication practice.

Explore the Course