Year 5 Maths: Rounding Puzzles

Understanding Rounding

Rounding is a way to make numbers simpler and easier to work with. Sometimes, we need to round numbers to get an estimate or to make calculations quicker.

Key Rules for Rounding

1. Identify the Place Value: Decide which place value you want to round to (e.g., nearest ten, hundred, etc.).
2. Look at the Next Digit: Check the digit immediately to the right of your chosen place value.
3. Decide What to Do:
   • If the next digit is 0, 1, 2, 3, or 4, round down. This means you keep the number in your chosen place value the same.
   • If the next digit is 5, 6, 7, 8, or 9, round up. This means you add 1 to the number in your chosen place value.

Example

Let’s round the number 67 to the nearest ten.

1. The tens place is 6.
2. The next digit (units place) is 7.
3. Since 7 is greater than 5, we round up.

So, 67 rounded to the nearest ten is 70.

Tips and Tricks

• Rounding Down: Remember the saying “4 or less, let it rest.” This means if the next digit is 4 or less, you keep the number the same.
• Rounding Up: “5 or more, raise the score.” This means if the next digit is 5 or more, you add one to the number.
• Practice with Real-Life Examples: Use prices, distances, or even your age to practice rounding.

Rounding Puzzles Questions

Easy Level Questions

1. Round 23 to the nearest ten.
2. Round 45 to the nearest ten.
3. Round 12 to the nearest ten.
4. Round 78 to the nearest ten.
5. Round 36 to the nearest ten.
6. Round 51 to the nearest ten.
7. Round 89 to the nearest ten.
8. Round 15 to the nearest ten.
9. Round 67 to the nearest ten.
10. Round 92 to the nearest ten.

Medium Level Questions

11. Round 154 to the nearest hundred.
12. Round 267 to the nearest hundred.
13. Round 342 to the nearest hundred.
14. Round 476 to the nearest hundred.
15. Round 518 to the nearest hundred.
16. Round 689 to the nearest hundred.
17. Round 725 to the nearest hundred.
18. Round 881 to the nearest hundred.
19. Round 935 to the nearest hundred.
20. Round 209 to the nearest hundred.

Hard Level Questions

21. Round 2,457 to the nearest thousand.
22. Round 4,682 to the nearest thousand.
23. Round 5,200 to the nearest thousand.
24. Round 8,743 to the nearest thousand.
25. Round 1,999 to the nearest thousand.
26. Round 3,845 to the nearest thousand.
27. Round 6,353 to the nearest thousand.
28. Round 7,675 to the nearest thousand.
29. Round 9,142 to the nearest thousand.
30. Round 12,500 to the nearest thousand.

Answers and Explanations

Easy Level Answers

1. 20 (Next digit is 3, round down)
2. 50 (Next digit is 5, round up)
3. 10 (Next digit is 2, round down)
4. 80 (Next digit is 8, round up)
5. 40 (Next digit is 6, round up)
6. 50 (Next digit is 1, round down)
7. 90 (Next digit is 9, round up)
8. 20 (Next digit is 5, round up)
9. 70 (Next digit is 7, round up)
10. 90 (Next digit is 2, round down)

Medium Level Answers

11. 200 (Next digit is 5, round up)
12. 300 (Next digit is 6, round up)
13. 300 (Next digit is 4, round down)
14. 500 (Next digit is 7, round up)
15. 500 (Next digit is 1, round down)
16. 700 (Next digit is 8, round up)
17. 700 (Next digit is 2, round down)
18. 900 (Next digit is 1, round down)
19. 900 (Next digit is 5, round up)
20. 200 (Next digit is 9, round up)

Hard Level Answers

21. 2,000 (Next digit is 4, round down)
22. 5,000 (Next digit is 6, round up)
23. 5,000 (Next digit is 2, round down)
24. 9,000 (Next digit is 7, round up)
25. 2,000 (Next digit is 0, round down)
26. 4,000 (Next digit is 8, round up)
27. 6,000 (Next digit is 3, round down)
28. 8,000 (Next digit is 6, round up)
29. 9,000 (Next digit is 1, round down)
30. 13,000 (Next digit is 5, round up)

Remember, rounding helps us simplify numbers for easier calculations. Keep practicing, and you’ll become a rounding expert in no time!