# Use and Apply Mental Arithmetic Skills 3

In this worksheet, students will practise foundational mental maths skills in preparation for the SATs arithmetic paper. This worksheet will guide them through specific strategies enabling them to solve problems mentally.

Key stage:  KS 2

Curriculum topic:   Exam-style Questions: SATs Maths

Curriculum subtopic:   Exam-Style Questions: Mental Maths

Difficulty level:

### QUESTION 1 of 10

Super effort! You have decided to spend some very valuable time practising for the SATs arithmetic paper.

Throughout your education, you will have been taught how to complete some maths sums mentally.

For example, by learning your times tables and related division facts, you will have gained essential mental maths skills that can help you to solve all kinds of maths problems!

In the SATs arithmetic paper, you are allowed to write down your working out but if you can, use mental maths skills to answer some of the questions, it will speed you up and give you a better chance of completing the paper.

The arithmetic paper is only 30 minutes long and there are usually around 36 questions so efficiency is key!

The more you practise these quick-thinking problem skills, the easier you will find arithmetic.

Example 1:

9² - 21 = ?

9² = 9 x 9 = 81

81 - 21 = 60

9²  - 21 = 60

Example 2:

93% of 320 = ?

Step 1: Work out 90%

10% = 320 ÷ 10 = 32

90% = 32 x 9 = 288

Step 2: To find 3%, find 1% first

1% = 320 ÷ 100 = 3.2

3% = 3.2 x 3 = 9.6

Step 3: Add 90% + 3%

288 + 9.6 = 297.6

93% of 320 = 297.6

Over to you now to try a mixture of quick-fire arithmetic questions!

0.4 x 2000 = ?

1200

900

800

1600

2/5 x 200 = ?

6/10 x 3 = ?

1.6

1.8

1.4

1.2

72,789 - 5,467 = ?

67,322

67,323

97.456 + 3.457 = ?

100.903

100.003

100.913

100.009

9.86 x 4 = ?

Can you solve these different multiplication questions?

70% of 4,000 = ?

What is 82% of 620?

(8 + 42) ÷ 10 - 4 = ?

• Question 1

0.4 x 2000 = ?

800
EDDIE SAYS
Strong start if you chose 800! The quickest way to answer this one is: 0.4 x 1000 = 400 Double the answer: 400 x 2 = 800
• Question 2

2/5 x 200 = ?

80
EDDIE SAYS
Did you get the hang of it? To crack this one, it's easiest to first convert the fraction into a decimal number. To convert a fraction to a decimal number, you have to divide the numerator by the denominator 2 ÷ 5 = 0.4 Then, multiply 0.4 x 200 = 80. This is really valuable revision, let's push on!
• Question 3

6/10 x 3 = ?

1.8
EDDIE SAYS
Did you reach the answer of 1.8? Again, you had to first convert the fraction into a decimal number. 6 ÷ 10 = 0.6 0.6 x 3 = 1.8.
• Question 4

72,789 - 5,467 = ?

67,322
EDDIE SAYS
You're making great progress! Some test questions, like this one, will require you to carry out some written working out. Use the squared paper given in the test booklet correctly, putting one number in each square. To solve this one, use the written column subtraction method. Remembering to always check your working out and answer carefully.
• Question 5

97.456 + 3.457 = ?

100.913
EDDIE SAYS
Again, this is another situation in which you should use a written method to gain the correct answer. In this instance, you need to use the column addition method to reach your answer of 100.913. You are making brilliant progress and are now halfway through the activity.
• Question 6

9.86 x 4 = ?

39.44
EDDIE SAYS
How are you doing? The answer to this multiplication is 39.44 The written methods to solve this question would be column multiplication or grid method multiplication. Choose the method that will help you to complete the question most efficiently in the test- do whichever works best for you!
• Question 7

Can you solve these different multiplication questions?

EDDIE SAYS
Phew, that was a toughie! Don't worry if you found this difficult, there was a lot of information to take in here. Again, in the test, remember to use the method that suits you best. You may choose to use the grid or column method. These sorts of questions will be found near the end of the arithmetic test as it gets progressively harder.
• Question 8

70% of 4,000 = ?

2800
2,800
2 800
EDDIE SAYS
70% of 4,000 = ? Step 1: Find 10% = 4,000 ÷ 10 = 400 Step 2: Find 70% = 400 x 7 = 2,800 Hopefully, your times table knowledge helped you to solve step 2. If you know that 4 x 7 = 28, you will then be able to apply this to 400 x 7 = 2800.
• Question 9

What is 82% of 620?

EDDIE SAYS
82% of 620 = ? Step 1: 10% of 620 = 620 ÷ 10 = 62 Step 2: 80% of 620 = 62 x 8 = 496 Step 3: 1% of 620 = 620 ÷ 100 = 6.2 Step 4: 2% of 620 = 6.2 x 2 = 12.4 Step 5: Add both amounts together = 496 + 12.4 = 508.4.
• Question 10

(8 + 42) ÷ 10 - 4 = ?

24
EDDIE SAYS
(8 + 42) ÷ 10 - 4 = ? Remember BODMAS! Complete any calculation in brackets first. Step 1: 8 + 42 = 50 Step 2: Complete division 50 ÷ 10 = 5 Step 3: Complete subtraction 5 - 4 = 1 Well done, that's another activity ticked off! You should feel really proud now that you're better prepared for the SATs arithmetic test.