Each worksheet starts with two easy questions and finishes with two hard ones, so most Year 6 children can begin on their own and will have to think by the end. The answers print on a separate page, with a worked solution for every question, so you can mark it together.
A good habit: ask your child to explain how they got two or three of the answers. If the explanation is shaky, the worked solution shows one clear way to think it through.
On this page
Thousandths
Thousandths: worksheet 1
Name Date Score / 10
The questions get harder as you go. Show your working in the space beside each question.
- 1
Which is bigger, 0.7 or 0.07?
- A0.07
- B0.7
- CThey are equal
- 2
What is the 8 worth in 0.348?
- A8 tenths
- B8 hundredths
- C8 thousandths
- 3
Which is smaller, 0.405 or 0.45?
- A0.405
- B0.45
- CThey are equal
- 4
0.3 is the same as how many thousandths?
- 5
Which list of decimals is in order from largest to smallest?
- A3.008, 3.08, 3.088, 3.8
- B3.8, 3.088, 3.08, 3.008
- C3.088, 3.08, 3.008, 3.8
- 6
The line goes from 1 to 1.5 in equal jumps. What number is at the dot?
- 7
Four parcels weigh 2.5 kg, 2.45 kg, 2.405 kg and 2.054 kg. Which is the heaviest?
- A2.054 kg
- B2.405 kg
- C2.45 kg
- D2.5 kg
- 8
In a race, Ava ran 9.87 s, Ben 9.807 s, Cal 9.9 s and Dee 9.078 s. Who won?
- AAva
- BCal
- CBen
- DDee
- 9
How many numbers with exactly three decimal places are between 0.25 and 0.26?
- 10
Use the digits 3, 0 and 7 once each to fill 0.□□□. What is the smallest number you can make that is bigger than 0.4?
Answers: Thousandths: worksheet 1
- B: 0.7 0.7 is 7 tenths. 0.07 is 7 hundredths, which is ten times smaller.
- C: 8 thousandths The 8 is the third digit after the point, in the thousandths column.
- A: 0.405 Write 0.45 as 0.450. 405 thousandths is less than 450 thousandths.
- 300 0.3 = 0.300, which is 300 thousandths.
- B: 3.8, 3.088, 3.08, 3.008 With three places: 3.800, 3.088, 3.080 and 3.008. From most to fewest thousandths: 3.8, 3.088, 3.08, 3.008.
- 1.15 Each of the 10 jumps is 0.05. Three jumps from 1: 1.05, 1.1, 1.15.
- D: 2.5 kg With three places: 2.500, 2.450, 2.405 and 2.054. 2.500 is the most.
- D: Dee The winner has the smallest time. With three places: 9.870, 9.807, 9.900 and 9.078. Dee's 9.078 is smallest.
- 9 0.25 = 0.250 and 0.26 = 0.260. Between them are 0.251, 0.252, ... 0.259. That is 9 numbers.
- 0.703 To be bigger than 0.4 the tenths digit must be 7. Then make the rest as small as possible: 0.703.
Brackets first
Brackets first: worksheet 1
Name Date Score / 10
The questions get harder as you go. Show your working in the space beside each question.
- 1
What is 6 + 2 × 4?
- 2
What is (9 − 3) × 2?
- 3
What is 5 × (6 − 2)?
- 4
What is 30 − 4 × 5?
- 5
What is 4 × (7 + 3) − 15?
- 6
What is 48 ÷ (4 × 3) + 6?
- 7
What is 3 × (12 − 4) ÷ 6 + 5?
- 8
Where do the brackets go to make this true? 5 × 4 + 6 − 2 = 48
- A5 × (4 + 6) − 2
- B(5 × 4 + 6) − 2
- C5 × (4 + 6 − 2)
- D5 × 4 + (6 − 2)
- 9
What is 60 − (5 + 3) × 6 ÷ 4?
- 10
Which one is NOT equal to 36?
- A4 + 2 × 16
- B(48 − 6) × 2
- C48 − 6 × 2
- D(4 + 2) × 6
Answers: Brackets first: worksheet 1
- 14 Multiply first: 2 × 4 = 8. Then 6 + 8 = 14.
- 12 Brackets first: 9 − 3 = 6. Then 6 × 2 = 12.
- 20 Brackets first: 6 − 2 = 4. Then 5 × 4 = 20.
- 10 Multiply first: 4 × 5 = 20. Then 30 − 20 = 10.
- 25 Brackets: 10. Multiply: 4 × 10 = 40. Subtract: 40 − 15 = 25.
- 10 Brackets: 4 × 3 = 12. Divide: 48 ÷ 12 = 4. Add: 4 + 6 = 10.
- 9 Brackets: 8. Then left to right: 3 × 8 = 24, 24 ÷ 6 = 4. Last: 4 + 5 = 9.
- A: 5 × (4 + 6) − 2 5 × (4 + 6) − 2 = 5 × 10 − 2 = 50 − 2 = 48. The others give 24, 40 and 24.
- 48 Brackets: 8. Then 8 × 6 = 48 and 48 ÷ 4 = 12. Last: 60 − 12 = 48.
- B: (48 − 6) × 2 (48 − 6) × 2 = 42 × 2 = 84. The others are 6 × 6, 4 + 32 and 48 − 12, which are all 36.
Units of length
Units of length: worksheet 1
Name Date Score / 10
The questions get harder as you go. Show your working in the space beside each question.
- 1
Convert 4.5 m to centimetres.
cm - 2
What is the perimeter of this square?
cm - 3
Convert 650 cm to metres.
m - 4
A rectangular swimming pool is 12 m long and 5 m wide. What is the area of the water's surface?
m² - 5
Find the perimeter of this L-shaped garden path.
m - 6
A floor 9 m by 6 m is covered with square tiles that are 50 cm on each side. How many tiles are needed?
tiles - 7
A path 2 m wide goes all the way around a lawn 15 m by 10 m. What is the area of the path?
m² - 8
A square has an area of 256 cm². A second square's perimeter is three-quarters of the first square's perimeter. What is the second square's area?
cm² - 9
A garden is 20 m by 12 m. A rectangular dog run is fenced off inside it, leaving exactly 75% of the garden. The dog run is 4 m wide. How long is it?
m - 10
Three identical rectangles, each 3 times as long as it is wide, sit side by side to make a square. The square's perimeter is 120 cm. What is the area of one small rectangle?
cm²
Answers: Units of length: worksheet 1
- 450 cm Metres to centimetres is big to small, so multiply by 100: 4.5 × 100 = 450 cm.
- 48 cm A square has 4 equal sides: 4 × 12 = 48 cm.
- 6.5 m Centimetres to metres is small to big, so divide by 100: 650 ÷ 100 = 6.5 m.
- 60 m² 12 × 5 = 60 m².
- 36 m Missing sides: 10 − 6 = 4 m and 8 − 3 = 5 m. Perimeter: 10 + 5 + 4 + 3 + 6 + 8 = 36 m. Or stretch it into a rectangle: 2 × (10 + 8) = 36 m.
- 216 50 cm = 0.5 m, so 2 tiles fit in every metre. 9 m takes 18 tiles and 6 m takes 12 rows: 18 × 12 = 216 tiles.
- 116 m² The outside edge is 15 + 2 + 2 = 19 m by 10 + 2 + 2 = 14 m: 19 × 14 = 266 m². Take away the lawn: 266 − 150 = 116 m².
- 144 cm² First square: side 16 cm (16 × 16 = 256), perimeter 64 cm. Three-quarters of 64 is 48, so the second side is 12 cm. Area: 12 × 12 = 144 cm².
- 15 m Garden: 20 × 12 = 240 m². The dog run is the other 25%: 240 ÷ 4 = 60 m². 60 ÷ 4 = 15 m.
- 300 cm² The square's side is 120 ÷ 4 = 30 cm. Three widths make 30 cm, so each is 10 cm wide and 30 cm long. Area: 10 × 30 = 300 cm².
Coordinates
Coordinates: worksheet 1
Name Date Score / 10
The questions get harder as you go. Show your working in the space beside each question.
- 1
Find (1, 4) on this grid. Which letter is on that point?
- AA
- BC
- CD
- DB
- 2
Where is the origin on a coordinate grid?
- Ain the middle of the grid
- Bat the end of the x-axis
- Cwhere the x-axis and y-axis meet
- Dat the top of the y-axis
- 3
Which point on this grid has the coordinates (7, 9)?
- AX
- BY
- CZ
- DW
- 4
The first number of a point is called its x-coordinate. What is the x-coordinate of the point (9, 4)?
- 5
Point A on this grid moves 2 squares right and 3 squares down. Where does it end up?
- A(5, 3)
- B(1, 3)
- C(5, 9)
- D(1, 9)
- 6
How many squares apart are points P and Q on this grid?
squares - 7
Start at (8, 3). Move 5 left and 4 up. Where do you finish?
- A(13, 7)
- B(3, 7)
- C(4, 8)
- D(7, 3)
- 8
A rectangle has corners at (2, 1), (9, 1), (9, 5) and (2, 5). You walk all the way around it along the grid lines. How many units do you walk?
units - 9
A square has two corners at (2, 2) and (5, 2). Its other two corners are above them. Where are the other two corners?
- A(2, 5) and (5, 5)
- B(5, 5) and (8, 5)
- C(3, 5) and (5, 3)
- D(2, 3) and (5, 3)
- 10
Three of these points are on the same axis. Which point is the odd one out?
- A(0, 2)
- B(0, 5)
- C(5, 0)
- D(0, 9)
Answers: Coordinates: worksheet 1
- A: A A. Go 1 across, then 4 up, and you land on A.
- C: where the x-axis and y-axis meet The origin is the point (0, 0), the corner where the x-axis and the y-axis start together.
- A: X X. Go 7 across, then 9 up.
- 9 9. The x-coordinate is the first number, which tells you how far across.
- A: (5, 3) A is at (3, 6). Right: 3 + 2 = 5. Down: 6 − 3 = 3. So (5, 3).
- 5 squares P is at (2, 6) and Q is at (7, 6). They are level, so 7 − 2 = 5 squares apart.
- B: (3, 7) Left: 8 − 5 = 3. Up: 3 + 4 = 7. So you finish at (3, 7).
- 22 units The bottom side is 9 − 2 = 7 units and the side going up is 5 − 1 = 4 units. Around: 7 + 4 + 7 + 4 = 22 units.
- A: (2, 5) and (5, 5) The bottom side is 5 − 2 = 3 squares, so every side is 3. Go 3 up from each corner: (2, 5) and (5, 5).
- C: (5, 0) (0, 5), (0, 2) and (0, 9) all have 0 across, so they are on the y-axis. (5, 0) is on the x-axis.
Choosing a graph
Choosing a graph: worksheet 1
Name Date Score / 10
The questions get harder as you go. Show your working in the space beside each question.
- 1
Which number of pets is the most common?
pet - 2
In a dot plot like this, what does each dot stand for?
- Aone child
- Bone team
- Cten children
- Done goal
- 3
What is the spread of the books read, from the lowest to the highest?
books - 4
Which display is best for showing each child's exact height in centimetres?
- Aa table of names and heights
- Ba picture graph
- Ca tally chart
- 5
Team A scored 2, 3, 3, 3 and 4 goals in five games. Team B scored 0, 1, 3, 5 and 6. Whose scores are more spread out?
- ATeam A
- BTeam B
- CThey are the same
- 6
Which sentence best describes this dot plot?
- AMost children read 3 or 4 books, and one child read 10
- BMost children read 10 books
- CThe books are spread out evenly
- DNobody read more than 5 books
- 7
This graph's scale starts at 40. Mon 52, Tue 45, Wed 55. If the same data is drawn with the scale starting at 0, what happens to the columns?
- ATuesday becomes the tallest
- BNothing changes at all
- CThey look much closer in height
- DWednesday looks 3 times as tall as Tuesday
- 8
The shoe sizes go from 7 to 13. If you leave out the unusual size 13, how much smaller does the spread get?
- 9
Group X: 4, 5, 5, 5, 6. Group Y: 1, 5, 5, 8, 9. Which sentence is true?
- ABoth groups have 5 as the most common, but Group X is more spread out
- BThe two groups have the same spread
- CGroup Y's most common value is 9
- DBoth groups have 5 as the most common, but Group Y is more spread out
- 10
On this graph, the Wednesday column looks how many times as tall as the Tuesday column?
- A3 times
- Babout the same
- C10 times
- D2 times
Answers: Choosing a graph: worksheet 1
- 1 pet The tallest stack is above 1, with 4 dots.
- A: one child Each dot is one child. The dot sits above the number of goals that child scored.
- 8 books The lowest is 2 and the highest is 10. 10 take away 2 is 8.
- A: a table of names and heights A table can list every child's name next to their exact height.
- B: Team B Team B goes from 0 to 6, a spread of 6. Team A goes from 2 to 4, a spread of 2.
- A: Most children read 3 or 4 books, and one child read 10 The tallest stacks are at 3 and 4. One dot sits far away at 10.
- C: They look much closer in height From 0, the columns would be 52, 45 and 55 tall, which are fairly close. Cutting the scale made the differences look bigger.
- 3 With 13 the spread is 13 take away 7, which is 6. Without it the biggest is 10, so 10 take away 7 is 3. 6 take away 3 is 3.
- D: Both groups have 5 as the most common, but Group Y is more spread out 5 is the most common in both groups. X goes from 4 to 6 (spread 2). Y goes from 1 to 9 (spread 8).
- A: 3 times From the bottom of the cut scale, 40, Tuesday reaches 45 (5 above) and Wednesday 55 (15 above). 15 is 3 lots of 5, so it LOOKS 3 times as tall, even though 55 is only 10 more than 45.
The full set for Year 6
With a subscription you can print five worksheets for each of the 21 Year 6 maths topics, 105 in all, from Grown-ups > Maths worksheets. Every sheet has its own answer page. These are the topics:
Number
- Thousandths
- Percentages
- Fractions to percentages
- Fraction warm-up
- Same denominators
- Decimal place value
- Multiplying by 10, 100 and 1000
Algebra
- Brackets first
- Growing shape patterns
Measurement
- Units of length
- What is volume?
- Grams, kilograms and tonnes
- Elapsed time
- Angle refresher
Space
- Coordinates
- Translate, reflect, rotate
Statistics
- Choosing a graph
- Line graphs
- Collecting and organising data
Probability
- Listing outcomes
- The chance scale