Level 2 check
By the end of this chapter you will be able to
- Answer a mix of Level 2 questions
- Show secure counting, place value and number bonds
- Show secure adding and subtracting within 100, money and time
You should already know
- Chapters 1 to 9 of Level 2
Where this leads
- Level 3: adding and subtracting 2-digit numbers with carrying
Step-by-step practice: maths (Level 2). Small steps, repeated until fluent. Content: Count forwards and backwards to 100, and in steps of 2, 5 and 10, Know tens and ones, and read and write numbers to 100, Compare and order numbers up to 100, Recall the bonds to 20 and use bonds to 10, Add and subtract within 100 without carrying or exchange, Recognise and use coins and notes, and tell the time to the hour and half past.
Exercise P Do you remember?
Non-calculatorMethod. The number after is the next number when we count on one.
- Start at the number. We begin where we are.8
- Count on one. The next number is one more.8 + 1 = 9
- Write the answer. 9
Check. Count back one from 9: you reach 8. It works.
Watch out. The number after is one bigger, not the same number again.
Method. The tens digit tells us the tens. The ones digit tells us the ones.
- Look at the first digit. It is the number of tens.2 tens
- Look at the second digit. It is the number of ones.3 ones
- Write the answer. Say the tens, then the ones.2 tens and 3 ones
Check. 2 tens is 20, and 20 + 3 = 23.
Watch out. Read the digits from left to right. The left digit is the tens.
Method. Compare the tens first. If the tens are the same, compare the ones.
- Compare the tens digits. The tens digit is worth the most.2 and 4
- Tens are different, so the tens decide. 2 tens is fewer than 4 tens.2 tens and 4 tens
- Write the sign. 29 is less than 41.<
Check. 29 < 41 is true.
Watch out. Compare tens first. 61 is greater than 58, because 6 tens is more than 5 tens.
Method. Find the part that makes 20 with the number we know.
- Start with 5. It is the part we know.5
- Find how far it is to 20. Take the known part away from the whole, 20.20 - 5 = 15
- Write the answer. This is the other part of the bond.15
Check. 5 + 15 = 20. It works.
Watch out. The whole is 20, so take the known part away from 20.
Method. Split the 2-digit number into tens and ones. Add the ones, then put the tens back.
- Split 22 into 20 and 2. The tens and the ones are kept apart.22 = 20 + 2
- Add the ones: 2 + 6. 2 + 6 = 8 is less than 10, so no tens change.2 + 6 = 8
- Put the tens back: 20 + 8. Add the tens and the ones together.20 + 8 = 28
- Write the answer. 28
Check. Count on 6 from 22: you reach 28.
Watch out. Only the ones change when you add a 1-digit number and the ones do not go past 9.
Counting and place value
This section mixes the skills from chapters 1 and 2. Read each question, then write the answer.
Count in steps when the question gives you a pattern. Split a number into tens and ones when you need to.
Key ideas
- Count in steps of the same size.
- The tens digit is the left digit.
- Tens and ones make the number.
Method. The numbers go up in steps of 5. Find the step first.
- Find the step. Each number is 5 more than the one before.40, 45, 50
- Count on in steps to fill the gaps. Add the step to the number before each gap.40, 45, 50, 55, 60
- Write the missing numbers. 45 and 55
Check. Check the whole row: 40, 45, 50, 55, 60. Each step is 5.
Watch out. Do not count in ones. Count in steps of 5.
Method. The tens digit tells us the tens. The ones digit tells us the ones.
- Look at the first digit. It is the number of tens.4 tens
- Look at the second digit. It is the number of ones.7 ones
- Write the answer. Say the tens, then the ones.4 tens and 7 ones
Check. 4 tens is 40, and 40 + 7 = 47.
Watch out. Read the digits from left to right. The left digit is the tens.
Method. Say the days of the week in order: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
- Find Tuesday. Find the day in the list.Tuesday
- Move one step forward. The days go in order. The next day is one step on.Wednesday
- Write the answer. Wednesday
Check. The days of the week in order are Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
Watch out. The week goes from Monday to Sunday. Sunday comes before Monday.
Watch out
Watch out. Check the step first. Do not count in ones when the pattern goes up in tens.
Exam tip
Grown-up tip. Ask the child to explain how they found the answer, not only to say it.
Exercise 10A Mixed practice: counting and place value
Non-calculatorMethod. Find the tens first, then the ones.
- Find the tens word. The tens word tells us how many tens.seventy = 7 tens
- Find the ones word. The ones word tells us the ones digit.five = 5
- Write the numeral. Tens digit first, then ones digit.75
Check. Say 75 as a number name to check: seventy-five.
Watch out. Write the tens digit first. Seventy-four is 74, not 47.
Method. The numbers go up in steps of 5. Find the step first.
- Find the step. Each number is 5 more than the one before.60, 65, 70
- Count on in steps to fill the gaps. Add the step to the number before each gap.60, 65, 70, 75, 80
- Write the missing numbers. 65 and 75
Check. Check the whole row: 60, 65, 70, 75, 80. Each step is 5.
Watch out. Do not count in ones. Count in steps of 5.
Method. Start at the number and count back in steps.
- Start at the first number. It is where we begin.65
- Count back by 8. Say each number we pass.65 - 8 = 57
- Write the answer. This is the last number we said.57
Check. Count on 8 from 57 to check. You arrive at 65.
Watch out. Count back from the number you start with. Do not count the starting number again.
Method. The numbers go up in steps of 10. Find the step first.
- Find the step. Each number is 10 more than the one before.30, 40, 50
- Count on in steps to fill the gaps. Add the step to the number before each gap.30, 40, 50, 60, 70
- Write the missing numbers. 30 and 50
Check. Check the whole row: 30, 40, 50, 60, 70. Each step is 10.
Watch out. Do not count in ones. Count in steps of 10.
Method. The numbers go up in steps of 5. Find the step first.
- Find the step. Each number is 5 more than the one before.50, 55, 60
- Count on in steps to fill the gaps. Add the step to the number before each gap.50, 55, 60, 65, 70
- Write the missing numbers. 55 and 65
Check. Check the whole row: 50, 55, 60, 65, 70. Each step is 5.
Watch out. Do not count in ones. Count in steps of 5.
Method. The tens digit tells us the tens. The ones digit tells us the ones.
- Look at the first digit. It is the number of tens.5 tens
- Look at the second digit. It is the number of ones.8 ones
- Write the answer. Say the tens, then the ones.5 tens and 8 ones
Check. 5 tens is 50, and 50 + 8 = 58.
Watch out. Read the digits from left to right. The left digit is the tens.
Method. The numbers go up in steps of 10. Find the step first.
- Find the step. Each number is 10 more than the one before.10, 20, 30
- Count on in steps to fill the gaps. Add the step to the number before each gap.10, 20, 30, 40, 50
- Write the missing numbers. 10 and 30
Check. Check the whole row: 10, 20, 30, 40, 50. Each step is 10.
Watch out. Do not count in ones. Count in steps of 10.
Method. Say the tens part, then the ones part.
- Find the tens part. The tens digit gives the tens word.5 tens = fifty
- Find the ones part. The ones digit gives the last word.2 ones: two ones
- Write the name. Put a hyphen between the tens word and the ones word.fifty-two
Check. Read the name back: fifty-two is 52.
Watch out. Use a hyphen between tens and ones, for example forty-six.
Method. Say the number name for each numeral from 0 to 20.
- Look at the numeral. It is less than 21.11
- Say its name. Each number from 0 to 20 has its own name.eleven
- Write the answer. eleven
Check. Count to 11 and stop on eleven.
Watch out. Some teen names look alike. Thirteen and thirty are different numbers.
Method. Say the number name and find its numeral.
- Say the number name. Listen to the whole word.seven
- Find the numeral. seven is the number 7.seven = 7
- Write the numeral. 7
Check. Count to 7 and check you say seven at the end.
Watch out. Thirteen is 13: the 3 is at the end, as in the ones word.
Method. Find the tens first, then the ones.
- Find the tens word. The tens word tells us how many tens.eighty = 8 tens
- Find the ones word. The ones word tells us the ones digit.one = 1
- Write the numeral. Tens digit first, then ones digit.81
Check. Say 81 as a number name to check: eighty-one.
Watch out. Write the tens digit first. Seventy-four is 74, not 47.
Method. The tens digit tells us the tens. The ones digit tells us the ones.
- Look at the first digit. It is the number of tens.6 tens
- Look at the second digit. It is the number of ones.9 ones
- Write the answer. Say the tens, then the ones.6 tens and 9 ones
Check. 6 tens is 60, and 60 + 9 = 69.
Watch out. Read the digits from left to right. The left digit is the tens.
Method. The tens digit tells us the tens. The ones digit tells us the ones.
- Look at the first digit. It is the number of tens.1 tens
- Look at the second digit. It is the number of ones.7 ones
- Write the answer. Say the tens, then the ones.1 tens and 7 ones
Check. 1 tens is 10, and 10 + 7 = 17.
Watch out. Read the digits from left to right. The left digit is the tens.
Method. The tens digit tells us the tens. The ones digit tells us the ones.
- Look at the first digit. It is the number of tens.2 tens
- Look at the second digit. It is the number of ones.5 ones
- Write the answer. Say the tens, then the ones.2 tens and 5 ones
Check. 2 tens is 20, and 20 + 5 = 25.
Watch out. Read the digits from left to right. The left digit is the tens.
Method. Say the number name for each numeral from 0 to 20.
- Look at the numeral. It is less than 21.13
- Say its name. Each number from 0 to 20 has its own name.thirteen
- Write the answer. thirteen
Check. Count to 13 and stop on thirteen.
Watch out. Some teen names look alike. Thirteen and thirty are different numbers.
Method. Find the tens first, then the ones.
- Find the tens word. The tens word tells us how many tens.eighty = 8 tens
- Find the ones word. The ones word tells us the ones digit.four = 4
- Write the numeral. Tens digit first, then ones digit.84
Check. Say 84 as a number name to check: eighty-four.
Watch out. Write the tens digit first. Seventy-four is 74, not 47.
Comparing, ordering and bonds
Compare the tens first, then the ones. Use the bonds to 10 and 20 to find missing parts.
Key ideas
- Compare tens first.
- Bonds to 20 add up to 20.
- Bonds to 10 help with bonds to 20.
Method. Compare the tens first. If the tens are the same, compare the ones.
- Compare the tens digits. The tens digit is worth the most.3 and 5
- Tens are different, so the tens decide. 3 tens is fewer than 5 tens.3 tens and 5 tens
- Write the sign. 38 is less than 52.<
Check. 38 < 52 is true.
Watch out. Compare tens first. 61 is greater than 58, because 6 tens is more than 5 tens.
Method. Put the numbers in order, smallest to largest. Find the first one and then the next.
- Look at the tens of each number. The numbers with fewer tens are smaller.45: 4 tens, 27: 2 tens, 63: 6 tens, 38: 3 tens
- Find the first number in the order. It is the smallest, or the largest if we go the other way.27
- Write the numbers in order. Check that each one fits between the ones next to it.27, 38, 45, 63
Check. Read the list again. Each number is bigger than the one before.
Watch out. Compare tens first. 52 comes before 61 because 5 tens is less than 6 tens.
Method. Find the part that makes 20 with the number we know.
- Start with 13. It is the part we know.13
- Find how far it is to 20. Take the known part away from the whole, 20.20 - 13 = 7
- Write the answer. This is the other part of the bond.7
Check. 13 + 7 = 20. It works.
Watch out. The whole is 20, so take the known part away from 20.
Watch out
Watch out. 61 is greater than 58. Compare tens first.
Exam tip
Grown-up tip. Use a number track to check the order. Ask: “What is the bond to 20 with this number?”
Exercise 10B Mixed practice: comparing and bonds
Non-calculatorMethod. Find the part that makes 20 with the number we know.
- Start with 2. It is the part we know.2
- Find how far it is to 20. Take the known part away from the whole, 20.20 - 2 = 18
- Write the answer. This is the other part of the bond.18
Check. 2 + 18 = 20. It works.
Watch out. The whole is 20, so take the known part away from 20.
Method. Find the part that makes 20 with the number we know.
- Start with 10. It is the part we know.10
- Find how far it is to 20. Take the known part away from the whole, 20.20 - 10 = 10
- Write the answer. This is the other part of the bond.10
Check. 10 + 10 = 20. It works.
Watch out. The whole is 20, so take the known part away from 20.
Method. Find the greatest number by comparing the tens first.
- Look at the tens. The numbers with the most tens are the greatest.2, 3, 7, 1, 8
- Check the ones if two numbers have the same tens. The ones decide between them.26, 33, 75, 14, 83
- Choose the greatest. It is the biggest of the numbers in the list.83
Check. Put the others in order to check: 83 is the greatest of them all.
Watch out. The number with the largest ones digit is not always the greatest.
Method. Find the part that makes 20 with the number we know.
- Start with 16. It is the part we know.16
- Find how far it is to 20. Take the known part away from the whole, 20.20 - 16 = 4
- Write the answer. This is the other part of the bond.4
Check. 16 + 4 = 20. It works.
Watch out. The whole is 20, so take the known part away from 20.
Method. Use a bond to 10 to help. Start from 20 and take away the tens first.
- Take 10 away from 20. That leaves 10.20 - 10 = 10
- Take the rest of 13 away from 10. 13 is 10 and 3, so take away 3 from 10.10 - 3 = 7
- Write the answer. This is the missing part.7
Check. 13 + 7 = 20. Also 10 + 3 + 7 = 20.
Watch out. Use the bond 10 and 10 first. Then the rest is only a small step.
Method. Find the part that makes 20 with the number we know.
- Start with 9. It is the part we know.9
- Find how far it is to 20. Take the known part away from the whole, 20.20 - 9 = 11
- Write the answer. This is the other part of the bond.11
Check. 9 + 11 = 20. It works.
Watch out. The whole is 20, so take the known part away from 20.
Method. Find the least number by comparing the tens first.
- Look at the tens. The numbers with the most tens are the greatest.4, 3, 2
- Check the ones if two numbers have the same tens. The ones decide between them.49, 33, 21
- Choose the least. It is the smallest of the numbers in the list.21
Check. Put the others in order to check: 21 is the least of them all.
Watch out. The number with the largest ones digit is not always the greatest.
Method. Use a bond to 10 to help. Start from 20 and take away the tens first.
- Take 10 away from 20. That leaves 10.20 - 10 = 10
- Take the rest of 18 away from 10. 18 is 10 and 8, so take away 8 from 10.10 - 8 = 2
- Write the answer. This is the missing part.2
Check. 18 + 2 = 20. Also 10 + 8 + 2 = 20.
Watch out. Use the bond 10 and 10 first. Then the rest is only a small step.
Method. Compare the tens first. If the tens are the same, compare the ones.
- Compare the tens digits. The tens digit is worth the most.2 and 8
- Tens are different, so the tens decide. 2 tens is fewer than 8 tens.2 tens and 8 tens
- Write the sign. 28 is less than 88.<
Check. 28 < 88 is true.
Watch out. Compare tens first. 61 is greater than 58, because 6 tens is more than 5 tens.
Method. Find the greatest number by comparing the tens first.
- Look at the tens. The numbers with the most tens are the greatest.4, 8, 2, 2
- Check the ones if two numbers have the same tens. The ones decide between them.44, 89, 20, 29
- Choose the greatest. It is the biggest of the numbers in the list.89
Check. Put the others in order to check: 89 is the greatest of them all.
Watch out. The number with the largest ones digit is not always the greatest.
Method. Use a bond to 10 to help. Start from 20 and take away the tens first.
- Take 10 away from 20. That leaves 10.20 - 10 = 10
- Take the rest of 17 away from 10. 17 is 10 and 7, so take away 7 from 10.10 - 7 = 3
- Write the answer. This is the missing part.3
Check. 17 + 3 = 20. Also 10 + 7 + 3 = 20.
Watch out. Use the bond 10 and 10 first. Then the rest is only a small step.
Method. Find the least number by comparing the tens first.
- Look at the tens. The numbers with the most tens are the greatest.5, 8, 8, 1
- Check the ones if two numbers have the same tens. The ones decide between them.54, 87, 85, 12
- Choose the least. It is the smallest of the numbers in the list.12
Check. Put the others in order to check: 12 is the least of them all.
Watch out. The number with the largest ones digit is not always the greatest.
Method. Find the part that makes 20 with the number we know.
- Start with 4. It is the part we know.4
- Find how far it is to 20. Take the known part away from the whole, 20.20 - 4 = 16
- Write the answer. This is the other part of the bond.16
Check. 4 + 16 = 20. It works.
Watch out. The whole is 20, so take the known part away from 20.
Method. Use a bond to 10 to help. Start from 20 and take away the tens first.
- Take 10 away from 20. That leaves 10.20 - 10 = 10
- Take the rest of 15 away from 10. 15 is 10 and 5, so take away 5 from 10.10 - 5 = 5
- Write the answer. This is the missing part.5
Check. 15 + 5 = 20. Also 10 + 5 + 5 = 20.
Watch out. Use the bond 10 and 10 first. Then the rest is only a small step.
Method. Compare the tens first. If the tens are the same, compare the ones.
- Compare the tens digits. The tens digit is worth the most.5 and 1
- Tens are different, so the tens decide. 5 tens is more than 1 tens.5 tens and 1 tens
- Write the sign. 58 is greater than 19.>
Check. 58 > 19 is true.
Watch out. Compare tens first. 61 is greater than 58, because 6 tens is more than 5 tens.
Method. Find the part that makes 20 with the number we know.
- Start with 19. It is the part we know.19
- Find how far it is to 20. Take the known part away from the whole, 20.20 - 19 = 1
- Write the answer. This is the other part of the bond.1
Check. 19 + 1 = 20. It works.
Watch out. The whole is 20, so take the known part away from 20.
Adding, subtracting, money and time
Add or subtract the tens and the ones separately when no carrying or exchange is needed. Use money and time in the same careful way.
Key ideas
- Add the tens and the ones.
- Subtract the tens and the ones.
- 100p is £1.
- Read the hour hand first.
Method. Add the tens, then add the ones. Put the two answers together.
- Add the tens: 2 tens + 4 tens. Each ten is worth ten.2 + 4 = 6 tens, which is 60
- Add the ones: 3 + 5. The ones are added separately.3 + 5 = 8
- Put them together: 60 + 8. The tens and ones make the total.60 + 8 = 68
- Write the answer. 68
Check. Count on from 23: you reach 68.
Watch out. Add the tens to the tens and the ones to the ones. Do not add the ones digit to the tens.
Method. Take away the tens, then take away the ones. Put the two answers together.
- Take away the tens: 6 tens - 2 tens. We take the tens from the tens.6 - 2 = 4 tens, which is 40
- Take away the ones: 8 - 3. We take the ones from the ones.8 - 3 = 5
- Put them together: 40 + 5. The tens and the ones make the answer.40 + 5 = 45
- Write the answer. 45
Check. Add back: 45 + 23 = 68. It is right.
Watch out. Take the ones from the ones and the tens from the tens. Do not take the ones from the tens.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 35p. That is what the item costs.35p
- Count on to 50p. The steps you count are the change.35p + 15p = 50p
- Write the change. This is the money you get back.15p
Check. 35p and 15p together make 50p.
Watch out. Change is the money you get back, not the price of the item.
Watch out
Watch out. Keep the tens and ones apart. Check your change by counting on from the price.
Exam tip
Grown-up tip. Ask the child to show the sum with tens sticks and ones cubes before writing it down.
Exercise 10C Mixed practice: sums, money and time
Non-calculatorMethod. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 20p. That is what the item costs.20p
- Count on to £1. The steps you count are the change.20p + 80p = £1
- Write the change. This is the money you get back.80p
Check. 20p and 80p together make £1.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 5p. That is what the item costs.5p
- Count on to 50p. The steps you count are the change.5p + 45p = 50p
- Write the change. This is the money you get back.45p
Check. 5p and 45p together make 50p.
Watch out. Change is the money you get back, not the price of the item.
Method. Take away the tens, then take away the ones. Put the two answers together.
- Take away the tens: 9 tens - 5 tens. We take the tens from the tens.9 - 5 = 4 tens, which is 40
- Take away the ones: 5 - 3. We take the ones from the ones.5 - 3 = 2
- Put them together: 40 + 2. The tens and the ones make the answer.40 + 2 = 42
- Write the answer. 42
Check. Add back: 42 + 53 = 95. It is right.
Watch out. Take the ones from the ones and the tens from the tens. Do not take the ones from the tens.
Method. 100p is one pound. Write the pounds first, then the pence.
- Find the pounds. Every 100p is one pound.322p has 3 pounds
- Find the pence left over. These are the pence that are not in pounds.22p left over
- Write it with a pound sign and a point. Pence after the point have two digits.£3.22
Check. 322 pence is 3 pounds and 22 pence.
Watch out. Always write two digits after the point for pence: £2.05, not £2.5.
Method. Say the days of the week in order: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
- Find Saturday. Find the day in the list.Saturday
- Move one step forward. The days go in order. The next day is one step on.Sunday
- Write the answer. Sunday
Check. The days of the week in order are Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
Watch out. The week goes from Monday to Sunday. Sunday comes before Monday.
Method. There are 100 pence in one pound. Change the pounds to pence, then add the pence.
- Change the 4 pounds to pence. One pound is 100 pence.4 x 100 = 400
- Add the pence. Add the pence that are left over.400 + 55 = 455
- Write the answer. The total is in pence.455p
Check. 455p is 4 pounds and 55 pence.
Watch out. Do not write £1.35 as 135p in the wrong order. The pounds come first.
Method. Take away the tens, then take away the ones. Put the two answers together.
- Take away the tens: 7 tens - 6 tens. We take the tens from the tens.7 - 6 = 1 tens, which is 10
- Take away the ones: 8 - 8. We take the ones from the ones.8 - 8 = 0
- Put them together: 10 + 0. The tens and the ones make the answer.10 + 0 = 10
- Write the answer. 10
Check. Add back: 10 + 68 = 78. It is right.
Watch out. Take the ones from the ones and the tens from the tens. Do not take the ones from the tens.
Method. Digital time shows the hour, then a colon, then the minutes.
- Write the hour. The hour is the number before the colon.6
- Write the minutes. O'clock means zero minutes, so the minutes are 00.00
- Write the time. 6:00
Check. Read 6:00 aloud: six and zero zero minutes.
Watch out. Always write two digits for the minutes, like 9:05 and 9:30.
Method. Add the tens, then add the ones. Put the two answers together.
- Add the tens: 1 tens + 7 tens. Each ten is worth ten.1 + 7 = 8 tens, which is 80
- Add the ones: 8 + 1. The ones are added separately.8 + 1 = 9
- Put them together: 80 + 9. The tens and ones make the total.80 + 9 = 89
- Write the answer. 89
Check. Count on from 18: you reach 89.
Watch out. Add the tens to the tens and the ones to the ones. Do not add the ones digit to the tens.
Method. Take away the tens, then take away the ones. Put the two answers together.
- Take away the tens: 5 tens - 1 tens. We take the tens from the tens.5 - 1 = 4 tens, which is 40
- Take away the ones: 9 - 1. We take the ones from the ones.9 - 1 = 8
- Put them together: 40 + 8. The tens and the ones make the answer.40 + 8 = 48
- Write the answer. 48
Check. Add back: 48 + 11 = 59. It is right.
Watch out. Take the ones from the ones and the tens from the tens. Do not take the ones from the tens.
Method. Write the numbers in columns with tens under tens and ones under ones. Work from the ones.
- Write the numbers in columns. The tens go in one column and the ones in another.2 4 and 6 5
- Add the ones. Work out the ones first.4 + 5 = 9
- Add the tens. Then work out the tens.2 + 6 = 8
- Write the answer. Read the tens, then the ones.89
Check. Check by taking 65 away: 89 - 65 = 24.
Watch out. Start with the ones column. Keep each digit in its column.
Method. There are 100 pence in one pound. Change the pounds to pence, then add the pence.
- Change the 1 pound to pence. One pound is 100 pence.1 x 100 = 100
- Add the pence. Add the pence that are left over.100 + 88 = 188
- Write the answer. The total is in pence.188p
Check. 188p is 1 pounds and 88 pence.
Watch out. Do not write £1.35 as 135p in the wrong order. The pounds come first.
Method. The months of the year go in order from January to December.
- Find the month in the list. The months go in order through the year.October
- Use the list to find the answer. Move along the list the right way.November
- Write the answer. November
Check. The months are January to December, in that order.
Watch out. The months are in order: January, February, March, April and so on.
Method. Say the days of the week in order: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
- Find Thursday. Find the day in the list.Thursday
- Move one step forward. The days go in order. The next day is one step on.Friday
- Write the answer. Friday
Check. The days of the week in order are Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
Watch out. The week goes from Monday to Sunday. Sunday comes before Monday.
Method. Say the days of the week in order: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
- Find Saturday. Find the day in the list.Saturday
- Move one step back. The day before is one step back.Friday
- Write the answer. Friday
Check. The days of the week in order are Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
Watch out. The week goes from Monday to Sunday. Sunday comes before Monday.
Method. Take away the tens, then take away the ones. Put the two answers together.
- Take away the tens: 4 tens - 3 tens. We take the tens from the tens.4 - 3 = 1 tens, which is 10
- Take away the ones: 9 - 3. We take the ones from the ones.9 - 3 = 6
- Put them together: 10 + 6. The tens and the ones make the answer.10 + 6 = 16
- Write the answer. 16
Check. Add back: 16 + 33 = 49. It is right.
Watch out. Take the ones from the ones and the tens from the tens. Do not take the ones from the tens.
Chapter summary
| Skill | Method |
|---|---|
| Counting | Count on or back in ones, twos, fives or tens |
| Place value | Tens digit first, then ones |
| Comparing and ordering | Compare tens, then ones |
| Bonds | Bonds to 10 and 20 add up to the whole |
| Adding and subtracting | Tens with tens, ones with ones, within 100 |
| Money and time | Read the coins; read the hour hand first |
Can you…?
- I can count forwards and backwards to 100
- I can split a number into tens and ones
- I can compare and order numbers to 100
- I can use bonds to 10 and 20
- I can add and subtract within 100 without carrying
- I can use coins and tell the time to the hour and half past
Key terms
- Level 2 check
- the last chapter of Level 2; 20 questions to show what you can do
- tens and ones
- the two parts of a 2-digit number
- bond
- two numbers that make a whole, such as 13 and 7 make 20
Exercise 10Z Check-up
Non-calculatorMethod. Put the numbers in order, largest to smallest. Find the first one and then the next.
- Look at the tens of each number. The numbers with fewer tens are smaller.60: 6 tens, 71: 7 tens, 51: 5 tens, 27: 2 tens
- Find the first number in the order. It is the smallest, or the largest if we go the other way.71
- Write the numbers in order. Check that each one fits between the ones next to it.71, 60, 51, 27
Check. Read the list again. Each number is smaller than the one before.
Watch out. Compare tens first. 52 comes before 61 because 5 tens is less than 6 tens.
Method. Find the part that makes 20 with the number we know.
- Start with 4. It is the part we know.4
- Find how far it is to 20. Take the known part away from the whole, 20.20 - 4 = 16
- Write the answer. This is the other part of the bond.16
Check. 4 + 16 = 20. It works.
Watch out. The whole is 20, so take the known part away from 20.
Method. Start at the number and count back in steps.
- Start at the first number. It is where we begin.52
- Count back by 3. Say each number we pass.52 - 3 = 49
- Write the answer. This is the last number we said.49
Check. Count on 3 from 49 to check. You arrive at 52.
Watch out. Count back from the number you start with. Do not count the starting number again.
Method. Compare the two values. The coin with more pence is worth more.
- Write the value of each coin in pence. 2p and 5p.2p and 5p
- Compare the two numbers of pence. The bigger number of pence is worth more.2 and 5
- Choose the coin that is worth more. 5p
Check. 5p is 5p and the other coin is 2p.
Watch out. Use pence to compare. 50p is more than 20p.
Method. Use a bond to 10 to help. Start from 20 and take away the tens first.
- Take 10 away from 20. That leaves 10.20 - 10 = 10
- Take the rest of 17 away from 10. 17 is 10 and 7, so take away 7 from 10.10 - 7 = 3
- Write the answer. This is the missing part.3
Check. 17 + 3 = 20. Also 10 + 7 + 3 = 20.
Watch out. Use the bond 10 and 10 first. Then the rest is only a small step.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 77p. That is what the item costs.77p
- Count on to £2. The steps you count are the change.77p + £1.23 = £2
- Write the change. This is the money you get back.£1.23
Check. 77p and £1.23 together make £2.
Watch out. Change is the money you get back, not the price of the item.
Method. Morning comes first, then the afternoon. Put the mornings in order, then the afternoons.
- Sort the mornings. Earlier mornings come first.8 o'clock, 9 o'clock
- Add the afternoons after the mornings. Afternoon comes after the morning.1 o'clock
- Write the order. 8 o'clock in the morning, 9 o'clock in the morning, 1 o'clock in the afternoon
Check. Read the list again. Each time is later than the one before.
Watch out. Check the period first: 9 o'clock in the morning comes before 1 o'clock in the afternoon.
Method. Split the 2-digit number into tens and ones. Add the ones, then put the tens back.
- Split 84 into 80 and 4. The tens and the ones are kept apart.84 = 80 + 4
- Add the ones: 4 + 2. 4 + 2 = 6 is less than 10, so no tens change.4 + 2 = 6
- Put the tens back: 80 + 6. Add the tens and the ones together.80 + 6 = 86
- Write the answer. 86
Check. Count on 2 from 84: you reach 86.
Watch out. Only the ones change when you add a 1-digit number and the ones do not go past 9.
Method. Compare the tens first. If the tens are the same, compare the ones.
- Compare the tens digits. The tens digit is worth the most.4 and 5
- Tens are different, so the tens decide. 4 tens is fewer than 5 tens.4 tens and 5 tens
- Write the sign. 48 is less than 53.<
Check. 48 < 53 is true.
Watch out. Compare tens first. 61 is greater than 58, because 6 tens is more than 5 tens.
Method. The months of the year go in order from January to December.
- Find the month in the list. Go back one month in the list.September
- Use the list to find the answer. Move along the list the right way.August
- Write the answer. August
Check. The months are January to December, in that order.
Watch out. The months are in order: January, February, March, April and so on.
Total 41 marks. Allow about 41 minutes.
Exercise 10X Level 2 check
Non-calculatorMethod. Add the tens together. The ones stay the same.
- Find the tens of 10. 10 is 1 tens.10 = 1 tens
- Add the tens. 6 tens + 1 tens = 7 tens.6 + 1 = 7
- Keep the ones. The ones are still 4.7 tens and 4 ones
- Write the answer. 74
Check. 64 + 10 goes up by 1 tens. The answer is 74.
Watch out. Adding a multiple of 10 changes only the tens digit.
Method. Add the tens, then add the ones. Put the two answers together.
- Add the tens: 3 tens + 3 tens. Each ten is worth ten.3 + 3 = 6 tens, which is 60
- Add the ones: 3 + 3. The ones are added separately.3 + 3 = 6
- Put them together: 60 + 6. The tens and ones make the total.60 + 6 = 66
- Write the answer. 66
Check. Count on from 33: you reach 66.
Watch out. Add the tens to the tens and the ones to the ones. Do not add the ones digit to the tens.
Method. Take away the tens, then take away the ones. Put the two answers together.
- Take away the tens: 3 tens - 2 tens. We take the tens from the tens.3 - 2 = 1 tens, which is 10
- Take away the ones: 7 - 5. We take the ones from the ones.7 - 5 = 2
- Put them together: 10 + 2. The tens and the ones make the answer.10 + 2 = 12
- Write the answer. 12
Check. Add back: 12 + 25 = 37. It is right.
Watch out. Take the ones from the ones and the tens from the tens. Do not take the ones from the tens.
Method. Add the tens, then add the ones. Put the two answers together.
- Add the tens: 4 tens + 4 tens. Each ten is worth ten.4 + 4 = 8 tens, which is 80
- Add the ones: 2 + 1. The ones are added separately.2 + 1 = 3
- Put them together: 80 + 3. The tens and ones make the total.80 + 3 = 83
- Write the answer. 83
Check. Count on from 42: you reach 83.
Watch out. Add the tens to the tens and the ones to the ones. Do not add the ones digit to the tens.
Method. Digital time shows the hour, then a colon, then the minutes.
- Write the hour. The hour is the number before the colon.8
- Write the minutes. O'clock means zero minutes, so the minutes are 00.00
- Write the time. 8:00
Check. Read 8:00 aloud: eight and zero zero minutes.
Watch out. Always write two digits for the minutes, like 9:05 and 9:30.
Method. Use a bond to 10 to help. Start from 20 and take away the tens first.
- Take 10 away from 20. That leaves 10.20 - 10 = 10
- Take the rest of 12 away from 10. 12 is 10 and 2, so take away 2 from 10.10 - 2 = 8
- Write the answer. This is the missing part.8
Check. 12 + 8 = 20. Also 10 + 2 + 8 = 20.
Watch out. Use the bond 10 and 10 first. Then the rest is only a small step.
Method. Change the number by the amount in the question.
- Start with the number. It is the number we change.50
- Change it. Take away one. Count back to the number before.50 - 1 = 49
- Write the answer. 49
Check. Reverse the change: 49 + 1 gives 50.
Watch out. Ten more changes only the tens digit. One more can change the tens too: 1 more than 59 is 60.
Method. Find the part that makes 20 with the number we know.
- Start with 15. It is the part we know.15
- Find how far it is to 20. Take the known part away from the whole, 20.20 - 15 = 5
- Write the answer. This is the other part of the bond.5
Check. 15 + 5 = 20. It works.
Watch out. The whole is 20, so take the known part away from 20.
Method. There are 100 pence in one pound. Change the pounds to pence, then add the pence.
- Change the 2 pounds to pence. One pound is 100 pence.2 x 100 = 200
- Add the pence. Add the pence that are left over.200 + 88 = 288
- Write the answer. The total is in pence.288p
Check. 288p is 2 pounds and 88 pence.
Watch out. Do not write £1.35 as 135p in the wrong order. The pounds come first.
Method. Find the greatest number by comparing the tens first.
- Look at the tens. The numbers with the most tens are the greatest.3, 7, 8
- Check the ones if two numbers have the same tens. The ones decide between them.32, 75, 80
- Choose the greatest. It is the biggest of the numbers in the list.80
Check. Put the others in order to check: 80 is the greatest of them all.
Watch out. The number with the largest ones digit is not always the greatest.
Method. Ten ones make one ten. So we count the tens and then multiply by ten.
- Count the tens. Each ten is a bundle of ten ones.4 tens
- Count the ones in each ten. Ten ones in every ten.4 x 10 = 40
- Write the answer. That is the total number of ones.40
Check. Count in tens to check: 10, 20, 30, 40.
Watch out. A ten is ten ones. Do not count the tens as ones.
Method. Read the hour first. Then say whether it is o'clock or half past.
- Read the hour. The number before the colon is the hour.1
- Read the minutes. 30 means half past. 00 means o'clock.00
- Write the time in words. one o'clock
Check. The digital time 1:00 matches one o'clock.
Watch out. Half past is 30 minutes. o'clock is 00 minutes.
Method. There are 100 pence in one pound. Change the pounds to pence, then add the pence.
- Change the 3 pounds to pence. One pound is 100 pence.3 x 100 = 300
- Add the pence. Add the pence that are left over.300 + 84 = 384
- Write the answer. The total is in pence.384p
Check. 384p is 3 pounds and 84 pence.
Watch out. Do not write £1.35 as 135p in the wrong order. The pounds come first.
Method. The number after is the next number when we count on one.
- Start at the number. We begin where we are.61
- Count on one. The next number is one more.61 + 1 = 62
- Write the answer. 62
Check. Count back one from 62: you reach 61. It works.
Watch out. The number after is one bigger, not the same number again.
Method. Say the number name and find its numeral.
- Say the number name. Listen to the whole word.fifteen
- Find the numeral. fifteen is the number 15.fifteen = 15
- Write the numeral. 15
Check. Count to 15 and check you say fifteen at the end.
Watch out. Thirteen is 13: the 3 is at the end, as in the ones word.
Method. Start at the number and count back in steps.
- Start at the first number. It is where we begin.92
- Count back by 8. Say each number we pass.92 - 8 = 84
- Write the answer. This is the last number we said.84
Check. Count on 8 from 84 to check. You arrive at 92.
Watch out. Count back from the number you start with. Do not count the starting number again.
Method. Put the tens together, then add the ones.
- Find the tens. Each ten is worth ten.4 tens = 40
- Add the ones. The ones are added on to the tens.40 + 8 = 48
- Write the number. 48
Check. Split 48 back into tens and ones: 4 tens and 8 ones.
Watch out. The ones are not added to the tens digit: 3 tens and 5 ones is 35, not 8.
Method. Count on from the smaller number. Stop just before the bigger one.
- Start at 61. The smaller number is where we start.61
- Count on until just before 65. Numbers between come after the smaller one and before the bigger one.62, 63, 64
- Write one of the numbers. Any of these is correct.Accept any of 62, 63, 64
Check. Check: any number from the list is bigger than 61 and smaller than 65.
Watch out. Do not write 61 or 65. They are the ends, not the numbers between.
Method. Change the number by the amount in the question.
- Start with the number. It is the number we change.85
- Change it. Add one. Count on to the next number.85 + 1 = 86
- Write the answer. 86
Check. Reverse the change: 86 - 1 gives 85.
Watch out. Ten more changes only the tens digit. One more can change the tens too: 1 more than 59 is 60.
Method. Start at the number and count back in steps.
- Start at the first number. It is where we begin.12
- Count back by 3. Say each number we pass.12 - 3 = 9
- Write the answer. This is the last number we said.9
Check. Count on 3 from 9 to check. You arrive at 12.
Watch out. Count back from the number you start with. Do not count the starting number again.