Step-by-step Maths Level 3: Counting on and back, one at a time
Part of the Step-by-step Maths Level 3 counting to 1000 chapter. Chapter overview · whole chapter on one page
Counting on and back, one at a time
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.
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.
Method. Start at the number and count on or back, one number at a time.
- Start at 468. We begin with this number.468
- Count on 7. Say each new number as we go.468 + 7 = 475
- 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.
Method. Start at the number and count on or back, one number at a time.
- Start at 603. We begin with this number.603
- Count back 5. Say each number as we pass it.603 - 5 = 598
- 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.
Method. Start at the number and count on or back, one number at a time.
- Start at 996. We begin with this number.996
- Count on 4. Say each new number as we go.996 + 4 = 1000
- 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-calculatorMethod. Start at the number and count on or back, one number at a time.
- Start at 766. We begin with this number.766
- Count on 4. Say each new number as we go.766 + 4 = 770
- Write the answer. This is the last number we reached.770
Check. Count back 4 from 770: you reach 766.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 924. We begin with this number.924
- Count on 10. Say each new number as we go.924 + 10 = 934
- Write the answer. This is the last number we reached.934
Check. Count back 10 from 934: you reach 924.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 312. We begin with this number.312
- Count on 11. Say each new number as we go.312 + 11 = 323
- Write the answer. This is the last number we reached.323
Check. Count back 11 from 323: you reach 312.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 306. We begin with this number.306
- Count on 7. Say each new number as we go.306 + 7 = 313
- Write the answer. This is the last number we reached.313
Check. Count back 7 from 313: you reach 306.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 258. We begin with this number.258
- Count on 3. Say each new number as we go.258 + 3 = 261
- Write the answer. This is the last number we reached.261
Check. Count back 3 from 261: you reach 258.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 524. We begin with this number.524
- Count on 10. Say each new number as we go.524 + 10 = 534
- Write the answer. This is the last number we reached.534
Check. Count back 10 from 534: you reach 524.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 168. We begin with this number.168
- Count on 11. Say each new number as we go.168 + 11 = 179
- Write the answer. This is the last number we reached.179
Check. Count back 11 from 179: you reach 168.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 540. We begin with this number.540
- Count on 4. Say each new number as we go.540 + 4 = 544
- Write the answer. This is the last number we reached.544
Check. Count back 4 from 544: you reach 540.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 724. We begin with this number.724
- Count on 6. Say each new number as we go.724 + 6 = 730
- Write the answer. This is the last number we reached.730
Check. Count back 6 from 730: you reach 724.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 264. We begin with this number.264
- Count on 12. Say each new number as we go.264 + 12 = 276
- Write the answer. This is the last number we reached.276
Check. Count back 12 from 276: you reach 264.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 758. We begin with this number.758
- Count back 13. Say each number as we pass it.758 - 13 = 745
- Write the answer. This is the last number we reached.745
Check. Count on 13 from 745: you reach 758.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 296. We begin with this number.296
- Count back 10. Say each number as we pass it.296 - 10 = 286
- Write the answer. This is the last number we reached.286
Check. Count on 10 from 286: you reach 296.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 552. We begin with this number.552
- Count back 14. Say each number as we pass it.552 - 14 = 538
- Write the answer. This is the last number we reached.538
Check. Count on 14 from 538: you reach 552.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 773. We begin with this number.773
- Count back 13. Say each number as we pass it.773 - 13 = 760
- Write the answer. This is the last number we reached.760
Check. Count on 13 from 760: you reach 773.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 786. We begin with this number.786
- Count back 3. Say each number as we pass it.786 - 3 = 783
- Write the answer. This is the last number we reached.783
Check. Count on 3 from 783: you reach 786.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.
Method. Start at the number and count on or back, one number at a time.
- Start at 640. We begin with this number.640
- Count back 5. Say each number as we pass it.640 - 5 = 635
- Write the answer. This is the last number we reached.635
Check. Count on 5 from 635: you reach 640.
Watch out. Start from the number in the question. Do not start again from 1 or from 0.