# Get Your Free Year 6 Maths Test And Many More Free Downloadable Year 6 Quizzes

**Fed up with the same old Year 6 maths tests? Here we’ve got a different kind of Year 6 maths SATs test for you – one that covers just Year 5 and Year 6 topics as they are often the ones needing the most practice.**

If you just want the Year 6 maths test straightaway, download it now.

Year 6 Maths Test

Download this free Year 6 maths test composed of 25 questions covering a wide array of Year 6 maths topics. Includes answers and explanations.

### About the Year 6 maths test

The most recent addition to our free maths resources is this Year 6 maths test based on topics from the national curriculum programme of study for year 5 and 6.

The 25 questions test children on a number of content domains and also a variety of maths skills that they’re likely to need for their SATs exam in May. Answer sheets are provided and while this isn’t an actual diagnostic assessment it will give you and your pupils a chance to see where they need to improve before they sit their official Key Stage 2 SATs in May.

There are 8 arithmetic and 17 reasoning questions, to roughly mimic the percentage split between arithmetic and reasoning in the 3 SATs papers. We’ve included a mix of 1, 2 and 3 mark questions so children get used to looking at the marks allocated.

It is important to encourage children to show all their workings out, as marks can be scored for using the correct method, even if the final answer is calculated incorrectly.

Showing workings is an important skill for students to learn. Especially when it comes to the Maths SATs exams students receive extra marks for showing their methods. Third Space Learning’s online, one-to- one maths tuition programmes and SATs revision programmes encourage students to practice showing their problems solving methods.

### How to use this Year 6 maths test

This test is useful for assessing your pupils’ understanding of the Year 5 and Year 6 maths curriculum and identifying any knowledge gaps they may still have. Unlike the SATS papers, which include coverage of maths taught across Key Stage 2, this test focuses on only the Year 5 and 6 content.

We would recommend using this test towards the end of the Spring term, once children have been exposed to the Year 6 content, but with still sufficient time to work on any areas highlighted as being a weakness for any individuals or groups of students.

### 25 question Year 6 maths test (with answers)

1. 86,497 + 7,647

**Answer: 94,153**

1 mark

2. 42.314 - 8.765

**Answer: 33.549**

1 mark

3. 7936 × 76

**Answer: 603,136**

2 marks

2 marks for the correct answer, 1 mark for the correct method, but an incorrect answer

4. 6834 ÷ 58

**Answer: 117 r48**

2 marks

2 marks for the correct answer, 1 mark for the correct method, but an incorrect answer

5. 35% of 7480

**Answer: 2618**

1 mark

6. \frac{2}{5}✕\frac{3}{4}

**Answer: \frac{6}{20}=\frac{3}{5}**

1 mark

7. 17.36 × 1000

**Answer: 17,360**

1 mark

8. \frac{3}{7} of 84

**Answer: 36**

1 mark

9. Round 76,385 to the nearest:

10,

100,

1,000,

10,000

**Answer: Rounded to 10: 76,390**, **Rounded to 100: 76,400,** **Rounded to 1,000: 76,000,** **Rounded to 10,000: 80,000**

2 marks for all correct

1 mark for 2 or 3 correct

10. Write the following capacities in order from smallest to largest: 2.673l, 2.635l, 2.605l, 2.61l

**Answer: 2.605l, 2.61l, 2.635l, 2.673l**

1 mark

11. Sort the following numbers into the correct place in the Venn Diagram.

2, 3, 4, 6, 7

**Answer:**

2 marks for all correct, 1 mark for 3 or 4 correct.

12. Sophia buys 6 cupcakes and a cookie and pays £2.05 altogether.

Ahmed buys 3 cupcakes and pays 90p altogether. How much does one cookie cost?

**Answer: 25p**

3 cupcakes cost 90p

6 cupcakes cost 90p × 2 = £1.80.

£2.05 - £1.80 = £0.25 or 25p

Or

£2.05 - £0.90 = £1.15

£1.15 - £0.90 = £0.25 or 25p

2 marks for correct answer of 25p or £0.25. 1 mark for the correct method, but incorrect answer.

13. Order the following fractions from smallest to largest: 2\frac{7}{12}, 2 \frac{3}{4}, 2 \frac{5}{6}, 2 \frac{2}{3}

**Answer:** ** 2\frac{7}{12}, 2 \frac{2}{3}, 2 \frac{3}{4}, 2 \frac{5}{6}**

1 mark

14. Each number in the multiplication wall is made by multiplying the numbers in the 2 boxes directly below. Fill in the missing boxes:

**Answer:**

2 marks if all boxes are completed correctly.

1 mark if 2 or 3 boxes are completed correctly.

15. Arlo chose a number. He multiplied the number by 8. Then he subtracted 47. His answer was 1049. What was his original number?

**Answer: 137**

2 marks for correct answer of 137.

1 mark for correct method, but incorrect answer:

16. Tom had £40 in his pocket, but lost some. What expression shows how much Tom has now?

- 40 + x
- x x 40
- 40 ÷ x
- 40 - x

**Answer: 40 - x**

1 mark

17. Write the following improper fractions as mixed numbers. Write the answer in its simplest form:

\frac{34}{12}

\frac{17}{8}

\frac{35}{11}

\frac{19}{7}

**Answer: **

**\frac{34}{12} = 2\frac{10}{12} = 2\frac{5}{6}**

**\frac{17}{8} = 2\frac{1}{8}**

**\frac{35}{11} = 3\frac{2}{11}**

**\frac{19}{7} = 2\frac{5}{7}**

2 marks for all correct

1 mark for 2 or 3 correct

18. a) Jamal flew 3243.7 miles from London to Doha. He then flew an additional 431.6 miles to Dubai. How far did he fly in total?

b) He then flew on to Sri Lanka, making his journey a total of 5737 miles. How far was the journey from Dubai to Sri Lanka?

**Answer: a) 3675.3miles** **b) 2061.7 miles**

2 marks for both correct, 1 mark for 1 correct.

19. Amber had a bag containing 360 jelly beans. She gave \frac{4}{9} of the jelly beans to her friend, Erin . How many did she have left?

**Answers: 200 jelly beans**

2 marks for the correct answer: 200 jelly beans.

1 mark for the correct method, but incorrect answer:

\frac{1}{9} of 360 = 40

\frac{4}{9} of 360 = 160

Therefore Amber has 200 jelly beans left.

Or

\frac{5}{9} of 360 = 200 jelly beans

20. A class of 28 pupils go on a school trip to Alton Towers. The total price for their tickets is £504. How much does it cost per child?

**Answer: £18**

2 marks for the correct answer of £18.

1 mark for the correct method, but incorrect answer:

21. What is the value of angle x?

**Answer: 75°**

1 mark

22. Write one symbol in each box, to make the following statements correct:

**Answer:** \frac{2}{5} < 0.5 , 0.74 > \frac{14}{25}

1 mark

23. The town of Stockport has 90 primary schools and the City of Portsmouth has 45 primary schools. Schools in the UK have an average of 281 pupils. Approximately how many pupils are there in Stockport and Portsmouth altogether?

**Answer: 37,935.**

3 marks for the correct answer of 37,935.

2 marks if evidence of the correct method, with only 1 arithmetic error.

1 mark if evidence of appropriate method, with more than 1 arithmetic error.

24. Chloe has a bag of vegetables that weighs 1.15kg. She takes out some peppers. The bag now weighs 870g. How much did the peppers weigh?

**Answer: 280g**

2 marks for the correct answer: 280g

1 mark for the correct method, but the incorrect answer.

25. Apples cost £1.20 per kg. Bananas cost £1.45 per kg. Abdullah buys 1\frac{1}{2}kg of apples and 2kg of bananas. How much change does he get from £10?

**Answer: £5.30**

2 marks for the correct answer: £5.30.

1 mark for the correct method but incorrect answer.

### Other resources for Year 6

Otherwise, it’s worth taking a minute to find out what other free resources we have available for Year 6 and upper KS2 maths to help you prepare your class for SATs 2023.

#### Sats practice test

If you’re clear that what your students need is an ‘as real’ practice test, then we have 6 free practice SATs tests to give away – two sets, each of which have 2 reasoning and an arithmetic paper just like the real thing.

Find out more: SATs practice tests

#### Sats maths papers

Find out about the pedagogy behind our maths SATs papers and why they’re so popular. You’ll also find links to other KS2 SATs papers including our collection of topic based SATs questions and several past sats papers.

Find out more: SATs maths papers

#### Year 6 maths worksheets

If you are just looking for more general maths assessments and worksheets for Year 6 (whether for SATs preparation or not) we’ve got several more sets of maths questions for you here including 100 reasoning questions, 100 arithmetic questions and lots of Year 6 maths worksheets by topic

Find out more: Year 6 maths worksheets

See also: White Rose maths year 6

#### Year 6 maths questions

Most primary schools we talk to tell us that it’s reasoning and problem solving skills that children tend to struggle most with in Key Stage 2. While you’ll find several examples of maths word problems and multi-step problems on this site, our blog of 35 SATs reasoning questions and answers with worked examples is probably the best collection of practice questions of the sort you’ll find in the reasoning papers is here.

Find out more: Year 6 maths questions

#### Year 6 SATs revision

If all that wasn’t enough, maths revision resources we haven’t mentioned above plus several other SATs practice papers are available to you from our regularly updated SATs revision article.

Find out more: Best SATs revision resources

#### More SATs papers

Finally this is where you’ll find links to all the government’s practice SATs papers. There are free and paid for ones for maths, English and SPaG, all with answers and mark schemes

Find out more: National Curriculum Assessments Practice Materials

#### More Maths Tests

As well as this Year 6 maths test and other Year 6 maths resources, if you are looking for secondary resources, you can also use our extensive secondary resource library where you’ll find other maths tests more focused towards KS3 teaching

### Year 6 maths FAQs

**What maths is in Year 6**?Many of the concepts children cover in Year 6 are a progression on topics taught lower down the school. There are some concepts children are introduced to in Year 6, for the first time

∙Long division, dividing by 2-digit numbers

∙Order of operations

∙Multiplication and division of fractions

∙Converting between miles and km

∙Area of triangles and parallelograms

∙Ratio

∙Algebra

∙Scale factors

∙Parts of circles, including radius, diameter and circumference

∙Finding missing angles

∙Translating shapes

∙Pie charts

**What tests are done in Year 6**?The 3 SATS papers sat by children in Year 6 are

Paper 1 – Arithmetic

Paper 2 – Reasoning

Paper 3 – Reasoning

**What is the pass mark for Year 6 SATs**?For the SAT paper in the summer, children need to achieve a scaled score of 100. The raw score needed to achieve a scaled score varies slightly each year, but children generally need to score between 58 and 61 out of 110 (53% and 55%) to pass.

We have set the pass mark for this Year 6 test as 50%, as the children are only exposed to content from the Year 5 and Year 6 curriculum. In the SAT test the children sit in the summer, they will also be exposed to content from the Year 3 and Year 4 curriculum.

**Do you have pupils who need extra support in maths?**

Every week Third Space Learning’s maths specialist tutors support thousands of pupils across hundreds of schools with weekly online 1-to-1 lessons and maths interventions designed to plug gaps and boost progress.

Since 2013 we’ve helped over 150,000 primary and secondary school pupils become more confident, able mathematicians. Learn more or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

Subsidised one to one maths tutoring from the UK’s most affordable DfE-approved one to one tutoring provider.