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Step-by-step practice: Maths · Level 3Chapter 1 · Counting to 1000
Level 3 · Chapter 1

Counting to 1000

By the end of this chapter you will be able to

  • Count on and back from any number up to 1000
  • Count in tens, fifties and hundreds
  • Count in steps of 2, 3 and 5
  • Say 1, 10 and 100 more or less than a number

You should already know

  • Counting to 100 (Level 2, chapter 1)
  • Counting in tens (Level 2, chapter 1)

Where this leads

  • Hundreds, tens and ones (Level 3, chapter 2)

Step-by-step practice: maths (Level 3). Small steps, repeated until fluent. Content: Count forwards and backwards in ones from 0 to 1000, and from any number up to 1000, Count in tens from any number, and say 10 more and 10 less, Count in hundreds and fifties from any start, and say 100 more and 100 less, Count in steps of 2, 3 and 5, from 0 and from other numbers, forwards and backwards, Say the number that is 1 more or 1 less than any number up to 1000.

Exercise P  Do you remember?

Non-calculator
1
FCount on 8 from 47. What number do you reach?
2
FCount back 6 from 33. What number do you reach?
3
FWhat is 1 more than 56?
4
FFill in the missing numbers: 30, 32, ___, 36, ___.
5
FCount on in tens from 40. Write the next 3 numbers.
1.1

Counting on and back, one at a time

Level 3
Count forwards and backwards in ones, from any number up to 1000
Video lesson: Counting on and back, one at a timeComing soon

Counting on means saying the next number each time, one more at a time. Counting back means saying the number before.

Count across the hundreds too. After 399 comes 400, and after 999 comes 1000.

395396397398399400401402403404405
Each step on the number line is one more. The dot is 400.

Key ideas

  • Counting on means adding one more each time.
  • Counting back means taking one away each time.
  • Count across 400, 500 and other hundreds without stopping.
Worked example 1.1.1
Count on 7 from 468. What number do you reach?

Method. Start at the number and count on or back, one number at a time.

  1. Start at 468. We begin with this number.
    468
  2. Count on 7. Say each new number as we go.
    468 + 7 = 475
  3. Write the answer. This is the last number we reached.
    475

Check. Count back 7 from 475: you reach 468.

Watch out. Start from the number in the question. Do not start again from 1 or from 0.

Worked example 1.1.2
Count back 5 from 603. What number do you reach?

Method. Start at the number and count on or back, one number at a time.

  1. Start at 603. We begin with this number.
    603
  2. Count back 5. Say each number as we pass it.
    603 - 5 = 598
  3. Write the answer. This is the last number we reached.
    598

Check. Count on 5 from 598: you reach 603.

Watch out. Start from the number in the question. Do not start again from 1 or from 0.

Worked example 1.1.3
Count on 4 from 996. What number do you reach?

Method. Start at the number and count on or back, one number at a time.

  1. Start at 996. We begin with this number.
    996
  2. Count on 4. Say each new number as we go.
    996 + 4 = 1000
  3. Write the answer. This is the last number we reached.
    1000

Check. Count back 4 from 1000: you reach 996.

Watch out. Start from the number in the question. Do not start again from 1 or from 0.

Watch out

Watch out. Do not start again at 1 or at 100 when a number crosses a hundred. 398 + 4 is 402, not 302.

Exam tip

Grown-up tip. Count on from a number on a number line or in a hundred square. Ask: “What comes next?” and “What came before?”

Exercise 1A  Practice: counting on and back in ones

Non-calculator
1
FCount on 4 from 766. What number do you reach?
2
FCount on 10 from 924. What number do you reach?
3
FCount on 11 from 312. What number do you reach?
4
FCount on 7 from 306. What number do you reach?
5
FCount on 3 from 258. What number do you reach?
6
FCount on 10 from 524. What number do you reach?
7
FCount on 11 from 168. What number do you reach?
8
FCount on 4 from 540. What number do you reach?
9
FCount on 6 from 724. What number do you reach?
10
FCount on 12 from 264. What number do you reach?
11
FCount back 13 from 758. What number do you reach?
12
FCount back 10 from 296. What number do you reach?
13
FCount back 14 from 552. What number do you reach?
14
FCount back 13 from 773. What number do you reach?
15
FCount back 3 from 786. What number do you reach?
16
FCount back 5 from 640. What number do you reach?
1.2

Ten more, ten less, 100 more, 100 less

Level 3
Count in tens from any number, and say 10 more or 10 less, Say 100 more or 100 less than a number
Video lesson: Ten more, ten less, 100 more, 100 lessComing soon

When we add 10, only the tens digit changes. When we add 100, only the hundreds digit changes.

The other digits stay the same. This is quick to see if you look at the digits.

Key ideas

  • 10 more changes the tens digit.
  • 10 less changes the tens digit.
  • 100 more changes the hundreds digit.
  • The other digits stay the same.
Worked example 1.2.1
What is 10 more than 374?

Method. Change only the tens digit when we go more than the number.

  1. Start at 374. We begin with this number.
    374
  2. Change the tens digit. Only the tens digit changes. The others stay the same.
    374 + 10 = 384
  3. Write the answer. This is the new number.
    384

Check. 10 less than 384 is 374. It works.

Watch out. Only the tens digit changes. Keep the other digits the same.

Worked example 1.2.2
What is 100 less than 805?

Method. Change only the hundreds digit when we go less than the number.

  1. Start at 805. We begin with this number.
    805
  2. Change the hundreds digit. Only the hundreds digit changes. The others stay the same.
    805 - 100 = 705
  3. Write the answer. This is the new number.
    705

Check. 100 more than 705 is 805. It works.

Watch out. Only the hundreds digit changes. Keep the other digits the same.

Worked example 1.2.3
Count on in tens from 340. Write the next 3 numbers.

Method. Count on in tens by adding or taking away 10 each time.

  1. Start at 340. We count from this number.
    340
  2. Add 10 each time. We count on in tens.
    340 + 10 = 350; 350 + 10 = 360
  3. Write the numbers in order. These are the next numbers we said.
    350, 360, 370

Check. Count back in tens from 370 to check. You reach 340.

Watch out. The step is 10. Each new number is 10 more than the last.

Watch out

Watch out. 10 more than 396 is 406, not 496. The 9 tens and 1 ten make 10 tens, which is 1 hundred, so the 3 hundreds becomes 4 hundreds.

Exam tip

Grown-up tip. Use base-ten blocks. Ask the child to add one ten stick, then say which digit changed.

Exercise 1B  Practice: 10 and 100 more or less

Non-calculator
1
FWhat is 10 more than 295?
2
FWhat is 10 more than 113?
3
FWhat is 100 more than 217?
4
FWhat is 1 less than 256?
5
FWhat is 1 less than 956?
6
FWhat is 100 less than 372?
7
FWhat is 10 less than 792?
8
FWhat is 100 less than 146?
9
FWhat is 10 more than 795?
10
FWhat is 100 more than 812?
11
FWhat is 10 less than 591?
12
FWhat is 10 less than 623?
13
FWhat is 1 less than 279?
14
FWhat is 100 more than 781?
15
FWhat is 10 less than 896?
16
FWhat is 100 more than 710?
1.3

Counting in fifties and hundreds

Level 3
Count in fifties and hundreds from any start, up to 1000
Video lesson: Counting in fifties and hundredsComing soon

A fifty is half of a hundred. When we count in fifties we say 50, 100, 150, 200 and so on.

Count in hundreds when you add 100 each time. Find the step first, then fill the gaps.

Key ideas

  • Count in fifties: 50, 100, 150, 200.
  • Count in hundreds: 100, 200, 300.
  • Find the step before you fill a gap.
Worked example 1.3.1
Count on in fifties from 450. Write the next 3 numbers.

Method. Count on in fifties by adding or taking away 50 each time.

  1. Start at 450. We count from this number.
    450
  2. Add 50 each time. We count on in fifties.
    450 + 50 = 500; 500 + 50 = 550
  3. Write the numbers in order. These are the next numbers we said.
    500, 550, 600

Check. Count back in fifties from 600 to check. You reach 450.

Watch out. The step is 50. Each new number is 50 more than the last.

Worked example 1.3.2
Fill in the missing numbers: 480, 490, ___, 510, ___.

Method. Find the step, then count on in that step to fill each gap.

  1. Find the step. Each number is 10 more than the one before.
    490 - 480 = 10
  2. Fill the first gap. Add 10 to the number before the gap.
    490 + 10 = 500
  3. Fill the next gap. Add 10 again.
    510 + 10 = 520
  4. Write the missing numbers. Read them in order.
    500, 520

Check. Count on in 10s from 480: 480, 490, 500, 510, 520. It fits.

Watch out. Check the step with the numbers either side of a gap.

Worked example 1.3.3
Count back in hundreds from 700. Write the next 3 numbers.

Method. Count back in hundreds by adding or taking away 100 each time.

  1. Start at 700. We count from this number.
    700
  2. Take 100 each time. We count back in hundreds.
    700 - 100 = 600; 600 - 100 = 500
  3. Write the numbers in order. These are the next numbers we said.
    600, 500, 400

Check. Count on in hundreds from 400 to check. You reach 700.

Watch out. The step is 100. Each new number is 100 less than the last.

Watch out

Watch out. In a count of fifties, the step is 50, not 5. After 450 comes 500, not 455.

Exam tip

Grown-up tip. Ask the child to say the step out loud before counting. Clapping on each number helps.

Exercise 1C  Practice: counting in fifties, hundreds and gaps

Non-calculator
1
FCount on in hundreds from 600. Write the next 3 numbers.
2
FCount on in fifties from 100. Write the next 3 numbers.
3
FCount on in fifties from 0. Write the next 3 numbers.
4
FCount back in fifties from 600. Write the next 3 numbers.
5
FCount on in hundreds from 0. Write the next 3 numbers.
6
FCount on in hundreds from 700. Write the next 3 numbers.
7
FCount on in hundreds from 200. Write the next 3 numbers.
8
FCount back in hundreds from 800. Write the next 3 numbers.
9
FFill in the missing numbers: 418, 419, ___, 421, ___.
10
FFill in the missing numbers: 10, 20, ___, 40, ___.
11
FFill in the missing numbers: 500, 600, ___, 800, ___.
12
FFill in the missing numbers: 8, 13, ___, 23, ___.
13
FFill in the missing numbers: 546, 551, ___, 561, ___.
14
FFill in the missing numbers: 851, 852, ___, 854, ___.
15
FFill in the missing numbers: 900, 905, ___, 915, ___.
16
FFill in the missing numbers: 594, 596, ___, 600, ___.
1.4

Counting in steps of 2, 3 and 5

Level 3
Count in steps of 2, 3 and 5, from 0 and from other numbers, forwards and backwards
Video lesson: Counting in steps of 2, 3 and 5Coming soon

We can count in steps of 2, 3 or 5. Each new number is the step more than the last one.

Start from 0 or from another number. Write the new numbers one by one.

4041424344454647484950515253545556
Counting on in twos from 40: 42, 44, 46.

Key ideas

  • Count in twos: each number is 2 more.
  • Count in threes: each number is 3 more.
  • Count in fives: each number is 5 more.
Worked example 1.4.1
Count on in twos from 46. Write the next 3 numbers.

Method. Count on in twos by adding or taking away 2 each time.

  1. Start at 46. We count from this number.
    46
  2. Add 2 each time. We count on in twos.
    46 + 2 = 48; 48 + 2 = 50
  3. Write the numbers in order. These are the next numbers we said.
    48, 50, 52

Check. Count back in twos from 52 to check. You reach 46.

Watch out. The step is 2. Each new number is 2 more than the last.

Worked example 1.4.2
Count back in threes from 30. Write the next 3 numbers.

Method. Count back in threes by adding or taking away 3 each time.

  1. Start at 30. We count from this number.
    30
  2. Take 3 each time. We count back in threes.
    30 - 3 = 27; 27 - 3 = 24
  3. Write the numbers in order. These are the next numbers we said.
    27, 24, 21

Check. Count on in threes from 21 to check. You reach 30.

Watch out. The step is 3. Each new number is 3 less than the last.

Worked example 1.4.3
Count on in tens from 340. Write the next 3 numbers.

Method. Count on in tens by adding or taking away 10 each time.

  1. Start at 340. We count from this number.
    340
  2. Add 10 each time. We count on in tens.
    340 + 10 = 350; 350 + 10 = 360
  3. Write the numbers in order. These are the next numbers we said.
    350, 360, 370

Check. Count back in tens from 370 to check. You reach 340.

Watch out. The step is 10. Each new number is 10 more than the last.

Watch out

Watch out. Counting in threes from 30 gives 33, 36, 39. Do not add 1 each time.

Exam tip

Grown-up tip. Skip-count out loud with the child. Try the twos and fives on a hundred square and colour each number.

Exercise 1D  Practice: counting in twos, threes and fives

Non-calculator
1
FCount back in threes from 36. Write the next 3 numbers.
2
FCount back in threes from 784. Write the next 3 numbers.
3
FCount back in fives from 308. Write the next 3 numbers.
4
FCount on in twos from 257. Write the next 3 numbers.
5
FCount on in threes from 211. Write the next 3 numbers.
6
FCount on in twos from 657. Write the next 3 numbers.
7
FCount on in threes from 48. Write the next 3 numbers.
8
FCount back in twos from 663. Write the next 3 numbers.
9
FCount back in fives from 834. Write the next 3 numbers.
10
FCount back in fives from 884. Write the next 3 numbers.
11
FCount on in twos from 134. Write the next 3 numbers.
12
FCount back in twos from 109. Write the next 3 numbers.
13
FCount on in fives from 205. Write the next 3 numbers.
14
FCount back in fives from 560. Write the next 3 numbers.
15
FCount back in twos from 201. Write the next 3 numbers.
16
FCount on in threes from 297. Write the next 3 numbers.

Chapter summary

SkillMethod
Count on or back in onesSay the next (or previous) number each time, across hundreds too
10 more or lessOnly the tens digit changes
100 more or lessOnly the hundreds digit changes
Count in fiftiesAdd 50 each time: 50, 100, 150
Count in steps of 2, 3 or 5Add the step each time, from 0 or from any number

Can you…?

  • I can count on and back in ones from any number up to 1000
  • I can say 10 more and 10 less than a number
  • I can say 100 more and 100 less than a number
  • I can count in fifties and hundreds
  • I can count in steps of 2, 3 and 5, forwards and backwards

Key terms

count on
say the next numbers, one step at a time
count back
say the numbers that come before, one step at a time
step
the amount added each time, for example 5 in 5, 10, 15
hundreds digit
the digit in the hundreds place, for example the 4 in 458

Exercise 1Z  Check-up

Non-calculator
1
What is 100 more than 645?
2
Count on 8 from 255. What number do you reach?
3
Count on 6 from 156. What number do you reach?
4
Count on in fifties from 50. Write the next 3 numbers.
5
Count back 11 from 391. What number do you reach?
6
Count back in hundreds from 900. Write the next 3 numbers.
7
Count on 6 from 648. What number do you reach?
8
Count on in tens from 960. Write the next 3 numbers.
9
Count on in fives from 238. Write the next 3 numbers.
10
What is 100 less than 390?

Total 19 marks. Allow about 19 minutes.

Exercise 1X  Practice test questions

Non-calculator
1
FCount back in tens from 800. Write the next 3 numbers.[1 mark]
2
FCount on 4 from 759. What number do you reach?[1 mark]
3
FCount on 10 from 82. What number do you reach?[1 mark]
4
FCount on in twos from 36. Write the next 3 numbers.[1 mark]
5
FCount on in fives from 84. Write the next 3 numbers.[2 marks]
6
FWhat is 100 less than 661?[2 marks]
7
FWhat is 10 less than 774?[2 marks]
8
FCount on 5 from 249. What number do you reach?[3 marks]
9
FCount back 3 from 774. What number do you reach?[3 marks]
10
FCount back in tens from 170. Write the next 3 numbers.[3 marks]

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