Step-by-step Maths Level 2 Level 2 check: check-up and practice test questions

Method. Put the numbers in order, largest to smallest. Find the first one and then the next.

1. 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
2. Find the first number in the order. It is the smallest, or the largest if we go the other way.
   71
3. 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.

1. Start with 4. It is the part we know.
   4
2. Find how far it is to 20. Take the known part away from the whole, 20.
   20 - 4 = 16
3. 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.

1. Start at the first number. It is where we begin.
   52
2. Count back by 3. Say each number we pass.
   52 - 3 = 49
3. 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.

1. Write the value of each coin in pence. 2p and 5p.
   2p and 5p
2. Compare the two numbers of pence. The bigger number of pence is worth more.
   2 and 5
3. 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.

1. Take 10 away from 20. That leaves 10.
   20 - 10 = 10
2. Take the rest of 17 away from 10. 17 is 10 and 7, so take away 7 from 10.
   10 - 7 = 3
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.

1. Start at the price, 77p. That is what the item costs.
   77p
2. Count on to £2. The steps you count are the change.
   77p + £1.23 = £2
3. 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.

1. Sort the mornings. Earlier mornings come first.
   8 o'clock, 9 o'clock
2. Add the afternoons after the mornings. Afternoon comes after the morning.
   1 o'clock
3. 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.

1. Split 84 into 80 and 4. The tens and the ones are kept apart.
   84 = 80 + 4
2. Add the ones: 4 + 2. 4 + 2 = 6 is less than 10, so no tens change.
   4 + 2 = 6
3. Put the tens back: 80 + 6. Add the tens and the ones together.
   80 + 6 = 86
4. 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.

1. Compare the tens digits. The tens digit is worth the most.
   4 and 5
2. Tens are different, so the tens decide. 4 tens is fewer than 5 tens.
   4 tens and 5 tens
3. 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.

1. Find the month in the list. Go back one month in the list.
   September
2. Use the list to find the answer. Move along the list the right way.
   August
3. 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.

Method. Add the tens together. The ones stay the same.

1. Find the tens of 10. 10 is 1 tens.
   10 = 1 tens
2. Add the tens. 6 tens + 1 tens = 7 tens.
   6 + 1 = 7
3. Keep the ones. The ones are still 4.
   7 tens and 4 ones
4. 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.

1. Add the tens: 3 tens + 3 tens. Each ten is worth ten.
   3 + 3 = 6 tens, which is 60
2. Add the ones: 3 + 3. The ones are added separately.
   3 + 3 = 6
3. Put them together: 60 + 6. The tens and ones make the total.
   60 + 6 = 66
4. 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.

1. Take away the tens: 3 tens - 2 tens. We take the tens from the tens.
   3 - 2 = 1 tens, which is 10
2. Take away the ones: 7 - 5. We take the ones from the ones.
   7 - 5 = 2
3. Put them together: 10 + 2. The tens and the ones make the answer.
   10 + 2 = 12
4. 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.

1. Add the tens: 4 tens + 4 tens. Each ten is worth ten.
   4 + 4 = 8 tens, which is 80
2. Add the ones: 2 + 1. The ones are added separately.
   2 + 1 = 3
3. Put them together: 80 + 3. The tens and ones make the total.
   80 + 3 = 83
4. 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.

1. Write the hour. The hour is the number before the colon.
   8
2. Write the minutes. O'clock means zero minutes, so the minutes are 00.
   00
3. 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.

1. Take 10 away from 20. That leaves 10.
   20 - 10 = 10
2. Take the rest of 12 away from 10. 12 is 10 and 2, so take away 2 from 10.
   10 - 2 = 8
3. 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.

1. Start with the number. It is the number we change.
   50
2. Change it. Take away one. Count back to the number before.
   50 - 1 = 49
3. 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.

1. Start with 15. It is the part we know.
   15
2. Find how far it is to 20. Take the known part away from the whole, 20.
   20 - 15 = 5
3. 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.

1. Change the 2 pounds to pence. One pound is 100 pence.
   2 x 100 = 200
2. Add the pence. Add the pence that are left over.
   200 + 88 = 288
3. 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.

1. Look at the tens. The numbers with the most tens are the greatest.
   3, 7, 8
2. Check the ones if two numbers have the same tens. The ones decide between them.
   32, 75, 80
3. 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.

1. Count the tens. Each ten is a bundle of ten ones.
   4 tens
2. Count the ones in each ten. Ten ones in every ten.
   4 x 10 = 40
3. 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.

1. Read the hour. The number before the colon is the hour.
   1
2. Read the minutes. 30 means half past. 00 means o'clock.
   00
3. 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.

1. Change the 3 pounds to pence. One pound is 100 pence.
   3 x 100 = 300
2. Add the pence. Add the pence that are left over.
   300 + 84 = 384
3. 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.

1. Start at the number. We begin where we are.
   61
2. Count on one. The next number is one more.
   61 + 1 = 62
3. 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.

1. Say the number name. Listen to the whole word.
   fifteen
2. Find the numeral. fifteen is the number 15.
   fifteen = 15
3. 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.

1. Start at the first number. It is where we begin.
   92
2. Count back by 8. Say each number we pass.
   92 - 8 = 84
3. 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.

1. Find the tens. Each ten is worth ten.
   4 tens = 40
2. Add the ones. The ones are added on to the tens.
   40 + 8 = 48
3. 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.

1. Start at 61. The smaller number is where we start.
   61
2. Count on until just before 65. Numbers between come after the smaller one and before the bigger one.
   62, 63, 64
3. 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.

1. Start with the number. It is the number we change.
   85
2. Change it. Add one. Count on to the next number.
   85 + 1 = 86
3. 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.

1. Start at the first number. It is where we begin.
   12
2. Count back by 3. Say each number we pass.
   12 - 3 = 9
3. 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.