Each worksheet starts with two easy questions and finishes with two hard ones, so most Year 5 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
Big numbers
Big numbers: worksheet 1
Name Date Score / 10
The questions get harder as you go. Show your working in the space beside each question.
- 1
What number do these blocks show?
- 2
What is the 8 worth in this number?
- 3
What is the 3 worth in this number?
- 4
Which number is forty-two thousand, one hundred and six?
- A4216
- B42 106
- C42 160
- D420 106
- 5
Put 45 120, 45 012 and 45 210 in order from smallest to largest.
- A45 012, 45 120, 45 210
- B45 120, 45 012, 45 210
- C45 012, 45 210, 45 120
- D45 210, 45 120, 45 012
- 6
What is 1000 less than 30 450?
- 7
Last week 28 600 people came to the rugby. This week 1000 more people came. How many came this week?
- 8
The school fete made $12 305. How do you say this amount?
- Atwelve thousand, three hundred and five dollars
- Bone hundred and twenty-three thousand and five dollars
- Ctwelve thousand, three hundred and fifty dollars
- Dtwelve thousand and thirty-five dollars
- 9
In 58 016, what is the 8 worth? What is the 1 worth? Take the smaller value away from the bigger one.
- 10
Which number is the same as 23 hundreds?
- A230
- B2030
- C2300
- D23 000
Answers: Big numbers: worksheet 1
- 3125 3 thousands, 1 hundred, 2 tens and 5 ones make 3125.
- 800 The 8 is in the hundreds column, so it is worth 8 hundreds, which is 800.
- 30 000 The 3 is in the ten thousands column, so it is worth 3 ten thousands, which is 30 000.
- B: 42 106 Forty-two thousand is 42 000. One hundred and six is 106. Together: 42 106.
- A: 45 012, 45 120, 45 210 All start with 45. Compare the hundreds: 0, 1, 2. So 45 012, then 45 120, then 45 210.
- 29 450 30 thousand take away 1 thousand is 29 thousand. The 450 stays the same: 29 450.
- 29 600 1000 more makes the thousands go up by 1: 28 600 becomes 29 600.
- A: twelve thousand, three hundred and five dollars 12 305 is 12 thousands, 3 hundreds, 0 tens and 5 ones: twelve thousand, three hundred and five.
- 7990 The 8 is in the thousands place, so it is worth 8000. The 1 is in the tens place, so it is worth 10. 8000 take away 10 is 7990.
- C: 2300 10 hundreds make 1000, so 20 hundreds make 2000. 3 more hundreds make 2300.
How long did it take?
How long did it take?: worksheet 1
Name Date Score / 10
The questions get harder as you go. Show your working in the space beside each question.
- 1
Look at this clock. Is the time in the morning, at midday or in the evening?
- Ain the evening
- Bin the morning
- Cat midday
- 2
How many minutes are in 1 hour?
minutes - 3
Jasmine built a sandcastle from 10:25 am to 11:05 am. How many minutes did it take?
minutes - 4
Which of these times is closest to midnight?
- A1:00 am
- B11:50 pm
- C11:50 am
- D12:30 pm
- 5
This clock shows when a picnic started one morning. The picnic finished at 12:10 pm. How many minutes did it last?
minutes - 6
A car trip leaves at 10:15 am and arrives at 1:45 pm. How long is the trip?
- A3 hours 30 minutes
- B2 hours 30 minutes
- C4 hours 30 minutes
- D9 hours 30 minutes
- 7
A movie starts at 6:40 pm and runs for 1 hour 35 minutes. When does it finish?
- A7:15 pm
- B8:15 pm
- C8:05 pm
- D8:35 pm
- 8
Ruby's family drove from 9:50 am to 12:05 pm. How many minutes did the drive take?
minutes - 9
Kai goes to rugby training 3 times a week. Each training is 1 hour 15 minutes. How many minutes of training is that each week?
minutes - 10
Which length of time is the odd one out?
- A90 minutes
- B1 and a half hours
- C1 hour 30 minutes
- D130 minutes
Answers: How long did it take?: worksheet 1
- A: in the evening Pm means after midday. 9:15 pm is in the evening.
- 60 minutes There are 60 minutes in every hour. The minute hand goes all the way round once.
- 40 minutes 10:25 to 11:00 is 35 minutes. 11:00 to 11:05 is 5 minutes. 35 + 5 = 40 minutes.
- B: 11:50 pm Midnight is 12 o'clock at night. 11:50 pm is only 10 minutes before it.
- 35 minutes The clock shows 11:35 am. 11:35 to 12 noon is 25 minutes. Noon to 12:10 pm is 10 minutes. 25 + 10 = 35 minutes.
- A: 3 hours 30 minutes 10:15 am to 1:15 pm is 3 hours (11:15, 12:15, 1:15). Then 30 more minutes to 1:45. That is 3 hours 30 minutes.
- B: 8:15 pm 6:40 plus 1 hour is 7:40. 20 minutes takes you to 8:00, and 15 more makes 35. It finishes at 8:15 pm.
- 135 minutes 9:50 to 10:00 is 10 minutes. 10:00 to 12:00 is 2 hours, which is 120 minutes. 12:00 to 12:05 is 5 minutes. 10 + 120 + 5 = 135 minutes.
- 225 minutes 1 hour 15 minutes is 75 minutes. 3 lots of 75 is 75 + 75 + 75 = 225 minutes.
- D: 130 minutes 90 minutes, 1 and a half hours and 1 hour 30 minutes are all 90 minutes. 130 minutes is different.
Grid maps and pathways
Grid maps and pathways: 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 at C4 on this zoo map?
- AGiraffes
- BLions
- CPenguins
- DCafé
- 2
What is the grid reference of the café?
- AC2
- BB3
- C2B
- DB2
- 3
From the entrance, you walk 1 square east and then 1 square north. Where are you?
- AToilets
- BCafé
- CLions
- DGiraffes
- 4
From the lions, you walk 1 square west and then 1 square north. Where are you?
- ACafé
- BReptiles
- CPenguins
- DGift shop
- 5
Which instructions describe this path from the café?
- A1 square east, then 2 squares north
- B1 square west, then 2 squares north
- C1 square east, then 2 squares south
- D2 squares east, then 1 square north
- 6
Grace leaves home and walks 3 squares north, then 1 square east. Where is she?
- ALibrary
- BPark
- CShop
- DSchool
- 7
From the entrance, walk 4 squares east, then 4 squares north, then 1 square west. Where are you?
- AReptiles
- BKiwi
- CLions
- DGift shop
- 8
Owen is facing north. He turns right, then right again, then left. Which way is he facing now?
- Anorth
- Beast
- Cwest
- Dsouth
- 9
Dan walks north from the entrance until he reaches the giraffes. He turns right and walks 3 squares, then turns right again and walks 1 square. Where is he?
- ALions
- BGift shop
- CPenguins
- DCafé
- 10
Moving only along rows and columns, what is the fewest number of squares to walk from home to the library and then on to the pool?
squares
Answers: Grid maps and pathways: worksheet 1
- C: Penguins Column C, row 4 is the penguins.
- D: B2 The café is in column B and row 2, so it is B2.
- B: Café Entrance A1. 1 square east is B1. 1 square north is B2, the café.
- C: Penguins Lions D3. 1 square west is C3. 1 square north is C4, the penguins.
- A: 1 square east, then 2 squares north From B2 the path goes right to C2, which is 1 square east, then up to C4, which is 2 squares north.
- B: Park Home A1. 3 squares north is A4. 1 square east is B4, the park.
- D: Gift shop A1, 4 east is E1. 4 north is E5. 1 west is D5, the gift shop.
- B: east North, right turn to east, right turn to south, left turn back to east.
- A: Lions Entrance A1, north to giraffes A4, facing north. Turn right to face east, 3 squares to D4. Turn right to face south, 1 square to D3, the lions.
- 8 squares Home A1 to library D3: 3 east and 2 north, 5 squares. Library D3 to pool F2: 2 east and 1 south, 3 squares. 5 + 3 = 8.
Collecting data
Collecting data: 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 the mode of this data? 4, 7, 4, 9, 4, 2
- 2
Ruby measured the heights of some Year 5 students in centimetres: 142, 138, 1450, 145. Which value is a mistake?
- A138
- B142
- C145
- D1450
- 3
This dot plot shows how many pets each student has. What is the mode?
pet - 4
Look at the dot plot. How many students have 2 or more pets?
students - 5
Ms Rossi surveyed all 28 students in her class. This is her tally. How many answers are missing?
answers - 6
These are the ages of people at a family barbecue: 8, 41, 39, 12, 6, 770, 67. Which entry is most likely a typing mistake?
- A6
- B8
- C67
- D770
- 7
The data are 6, 7, 7, 8, 9, 9, 9. Two of the 9s were typing mistakes and should be 7s. What is the mode after fixing them?
- 8
Each of the 25 students in 5M has exactly one pet. Their graph is shown. What tells you something is wrong?
- ADogs can't be the mode.
- BNothing is wrong.
- CThe columns add to 29, more than 25 students.
- DBirds should be the tallest column.
- 9
Ella recorded goals: 2, 3, 3, 1, 2, 3, 20, 20, 20, 2. She realises each 20 was meant to be 2. What is the mode after she fixes them?
- 10
All 24 students in 5T chose one favourite pet, but the number for cat was smudged. Which pet is the mode?
- Adog
- Bother
- Cfish
- Dcat
Answers: Collecting data: worksheet 1
- 4 4 appears three times, more than any other value, so the mode is 4.
- D: 1450 1450 cm is more than 14 metres, taller than a house. It was probably meant to be 145.
- 1 pet The tallest stack is above 1, with 4 dots, so the mode is 1 pet.
- 4 students There are 2 dots at 2, 1 at 3 and 1 at 5. 2 + 1 + 1 = 4 students.
- 2 answers 9 + 8 + 6 + 3 = 26. 28 − 26 = 2 answers are missing.
- D: 770 Nobody is 770 years old. It was probably meant to be 70 or 77.
- 7 After fixing: 6, 7, 7, 7, 7, 8, 9. Now 7 appears four times, so the mode is 7.
- C: The columns add to 29, more than 25 students. 12 + 8 + 6 + 3 = 29. Each student has one pet, so the total should be 25. Some answers were counted twice or misread.
- 2 After fixing: 2, 3, 3, 1, 2, 3, 2, 2, 2, 2. Now 2 appears six times and 3 appears three times, so the mode is 2.
- A: dog 9 + 3 + 4 = 16, so cat is 24 − 16 = 8. Dog has 9, which is more than 8, so dog is the mode.
Chance words
Chance words: worksheet 1
Name Date Score / 10
The questions get harder as you go. Show your working in the space beside each question.
- 1
You pick a marble from this bag without looking. How likely is it that you pick a blue marble?
- Aimpossible
- Bunlikely
- Clikely
- Dcertain
- 2
You spin this spinner. How likely is it to land on green?
- Aimpossible
- Bunlikely
- Clikely
- Dcertain
- 3
Tonight, the sky outside your house will get dark. How likely is that?
- Aimpossible
- Bunlikely
- Clikely
- Dcertain
- 4
Your shadow will start talking to you. How likely is that?
- Aimpossible
- Bunlikely
- Clikely
- Dcertain
- 5
Kai picks a marble from this bag without looking. Which colour is he most likely to pick?
- Ablue
- Bred
- Cgreen
- 6
Which of these is unlikely?
- AThe sun comes up tomorrow
- BYou roll a number less than 6 on a normal dice
- CYou roll a 6 on a normal dice
- DYou see a real dinosaur at the shops today
- 7
How many red parts of this spinner would you need to change to blue so that red and blue are just as likely?
parts - 8
Tom wants green to be more likely than yellow in this bag. What is the smallest number of green marbles he must add?
marbles - 9
Three of these events are impossible. Which one is the odd one out?
- APicking a green marble from a bag of only red marbles
- BRolling a 6 on a normal dice
- CRolling a 7 on a normal dice
- DA pig flying to the moon
- 10
Jess wants red, blue and yellow to be just as likely in this bag. She can only add marbles. What is the smallest number of marbles she must add?
marbles
Answers: Chance words: worksheet 1
- D: certain Certain. Every marble in the bag is blue, so you will always pick blue.
- A: impossible Impossible. The spinner is all yellow, with no green at all.
- D: certain Certain. Every night the sky gets dark, so it will happen.
- A: impossible Impossible. A shadow can't talk, so this can never happen.
- A: blue There are 6 blue, 3 red and 1 green marble. Blue has the most, so blue is most likely.
- C: You roll a 6 on a normal dice A 6 is on the dice, so it can happen, but there are 5 other numbers, so it probably won't.
- 2 parts There are 6 red and 2 blue parts, 8 in all. Just as likely means 4 each, so change 2 red parts to blue.
- 4 marbles There are 5 yellow and 2 green. Green needs at least 6 to beat 5. 6 take away 2 is 4 more.
- B: Rolling a 6 on a normal dice A 6 is on a normal dice, so it can happen. It is unlikely. The other three can never happen.
- 5 marbles Red has 4, so blue and yellow each need 4. Blue needs 2 more and yellow needs 3 more. 2 add 3 is 5.
The full set for Year 5
With a subscription you can print five worksheets for each of the 30 Year 5 maths topics, 150 in all, from Grown-ups > Maths worksheets. Every sheet has its own answer page. These are the topics:
Number and algebra
- Big numbers
- Tenths and hundredths
- Cash and change
- Factors and multiples
- Comparing fractions
- Fraction warm-up
- Add and subtract fractions
- Same denominators
- Multiplying big numbers
- Division and remainders
- Is it reasonable?
- Budgets and best buys
- Fact families
- Finding unknowns
Measurement
- How long did it take?
- Naming angles
- Choosing exact units
- Perimeter
- Area of rectangles
- 24-hour time
- Measuring angles
Space
- Grid maps and pathways
- Nets
- Slides, flips and turns
- Slicing prisms
Statistics
- Collecting data
- Planning an investigation
Probability
- Chance words
- How likely is it?
- Chance experiments