 # Use and Apply Multiplication Facts to Solve Problems 2

In this worksheet, students will be asked to use their times table knowledge (known facts) in order to solve other multiplication and division problems. Key stage:  KS 2

Curriculum topic:   Exam-style Questions: SATs Maths

Curriculum subtopic:   Exam-Style Questions: Using Known Facts

Difficulty level:   ### QUESTION 1 of 10

So you've decided to spend some time using known times table facts to solve multiplication and division problems.

What are known facts?

In this activity, the known facts you will use are times tables and the related division facts.

By the end of Year 4, you are expected to know all of the multiplication and related division facts for all of the times tables up to 12x.

Why do we use known facts?

Known facts are a great way to work out related facts and to help you solve larger, more complex calculations.

Example 1:

A headteacher has 630 pencils. She shares them equally between the 7 classes in the school.

How many does each class get?

We know that 63 ÷ 7 = 9

So, we can use this knowledge to solve 630 ÷ 7 = 90.

Each class will get 90 pencils.

Example 2:

366 ÷ 6 = ?

Again, we can use known facts again to help solve this one!

We know that 36 ÷ 6 = 6

So, we know that 360 ÷ 6 = 60

366 ​÷ ​ 6 = (360 ÷ ​ 6) + (6 ÷ ​6)

= 60 + 1

= 61.

So, 366 ÷ 6 = 61.

Now it's over to you to have a go at some questions on your own, good luck!

Lucy shares 420 marbles between her and 6 friends.

How many marbles does each person get? In the zoo, there are 120 monkeys in a cage and 4 cages.

How many monkeys are there in total? 150 children are at the end of term disco then 30 go home.

The remaining children share 480 sweets.

How many sweets do they each get? Use your knowledge of known facts to solve:

648 ÷ 8 = ?

How many 8's are there in 640?

Use your knowledge of known facts to solve:

728 ÷ 8 = ?

Apps are 71p each, Jamal buys 8 in a week!

How much does he spend in total? A farmer has 100 pairs of cows.

How many cows does he have altogether? 4 x 3000 = ?

16 x 11 = ?

• Question 1

Lucy shares 420 marbles between her and 6 friends.

How many marbles does each person get? EDDIE SAYS
How did get on with this first question? Remember, you need to use your times table knowledge with related division facts to help you. We know that 42 ÷ 7 = 6 So, 420 ÷ 7 = 60. Be careful with this type of question, we had to include Lucy as well as her 6 friends when sharing out the marbles. Therefore, we had to divide by 7. Don't get caught out.
• Question 2

In the zoo, there are 120 monkeys in a cage and 4 cages.

How many monkeys are there in total? EDDIE SAYS
Great work if you wrote 480. Don't worry if you found this challenging, we're only a couple of questions into this worksheet. We know that 12 x 4 = 48 So, 120 x 4 = 480 monkeys You've off to a strong start- let's push on.
• Question 3

150 children are at the end of term disco then 30 go home.

The remaining children share 480 sweets.

How many sweets do they each get? EDDIE SAYS
Are you getting the hang of this? To crack this one, we had to follow these steps: Step 1: 150 - 30 = 120 Step 2: 480 ÷ 120 = ? We know that 48 ÷ 12 = 4 So, 480 ÷ 120 = 4. Each child will get 4 sweets.
• Question 4

Use your knowledge of known facts to solve:

648 ÷ 8 = ?

81
EDDIE SAYS
Don't panic if you found this difficult! Let's recap on how to approach questions like these. 640 ÷ 8 = ? Step 1: Recap known facts; 64 ÷ 8 = 8 Step 2: Use known facts with bigger numbers; 640 ÷ 8 = 80 Step 3: Divide the remaining 8 8 ÷ 8 = 1 So, 648 ÷ 8 = 80 + 1 = 81.
• Question 5

How many 8's are there in 640?

EDDIE SAYS
1st mark available for the correct answer of 80. 2nd mark available for working out, for example: 64 ÷ 8 = 8 So, 640 ÷ 8 = 80. Pupil will need to use prior knowledge of times tables and place value to then demonstrate their understanding of this question.
• Question 6

Use your knowledge of known facts to solve:

728 ÷ 8 = ?

91
EDDIE SAYS
728 ÷ 8 = ? Step 1: Recap known facts 72 ÷ 8 = 9 Step 2: Use known facts with bigger numbers 720 ÷ 8 = 90 Step 3: Divide the remaining 8 8 ÷ 8 = 1 So, 728 ÷ 8 = 90 + 1 = 91.
• Question 7

Apps are 71p each, Jamal buys 8 in a week!

How much does he spend in total? EDDIE SAYS
Don't worry if you found that tricky! We can use known facts to help us solve this type of multiplication question. Step 1: 7 x 8 = 56 Step 2: Therefore, 70 x 8 = 560 Step 3: 560 + (1 x 8) = 568p Step 4: Convert to £5.68 This is a super effort, keep it up!
• Question 8

A farmer has 100 pairs of cows.

How many cows does he have altogether? 200
EDDIE SAYS
The correct answer is 200. There are 2 cows in one pair. Therefore, we had to calculate 100 x 2 = 200. You will definitely know the related fact (10 x 2 = 20) which then helps you to quickly answer a question like this.
• Question 9

4 x 3000 = ?

12,000
EDDIE SAYS
For this question, you can use the known fact of 4 x 3 = 12 to guide your working out. 4 x 30 = 120 4 x 300 = 1200 4 x 3000 = 12,000. You're a natural!
• Question 10

16 x 11 = ?

176
EDDIE SAYS
Again, we can use a known fact to help us solve this one. Step 1: 16 x 10 = 160 Step 2: 160 + (16 x 1) = 176 Well done for completing this activity! We hope you now feel more confident using known facts to help you quickly solve arithmetic questions. 