Multiplying, dividing and mixed operations · Ages 9–10

Squares to 25 worksheet

Part of: Multiplying and dividing by two digits; divisibility

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Multiplying, dividing and mixed operations · Ages 9–10

Numsprite
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Write each answer in the space. For word problems, show your working and write a sentence answer.

13.Each box of chocolates is laid out in a square: 7 rows of 7. Ka-yan buys 4 boxes. How many chocolates is that altogether?
Working:
Answer:
14.A marching band stands in a square, 22 rows of 22 players. How many players are in the band?
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Answer:
15.A marching band stands in a square, 6 rows of 6 players. How many players are in the band?
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Answer:
16.256 equal square tiles fit together exactly to make one big square. How many tiles are along each side of the big square?
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Answer:
17.A function room has 237 chairs, all to be set out in a solid square, with as many in each row as in each column. What is the fewest extra chairs that must be brought in?
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Answer:
18.A function room has 311 chairs, all to be set out in a solid square, with as many in each row as in each column. What is the fewest extra chairs that must be brought in?
Working:
Answer:

Show the answers and working

Squares to 25 worksheet: Answers and working

1. 14² = 196
14² is 14 × 14: split 14 into 10 and 4, 10 × 14 = 140, 4 × 14 = 56, 140 + 56 = 196
2. 19² = 361
19² is 19 × 19: split 19 into 10 and 9, 10 × 19 = 190, 9 × 19 = 171, 190 + 171 = 361
3. 2² = 4
2² is 2 × 2: ×2 is a double, 2 + 2 = 4
4. 13² = 169
13² is 13 × 13: split 13 into 10 and 3, 10 × 13 = 130, 3 × 13 = 39, 130 + 39 = 169
5. 8² = 64
8² is 8 × 8: ×8 is three doubles, 8 × 2 = 16, 16 × 2 = 32, 32 × 2 = 64
6. 11² = 121
11² is 11 × 11: ×11 is ×10 and one more lot, 11 × 10 = 110, 110 + 11 = 121
7. 16² = 256
16² is 16 × 16: split 16 into 10 and 6, 10 × 16 = 160, 6 × 16 = 96, 160 + 96 = 256
8. 20² = 400
20² is 20 × 20 = 400
9. 3² = 9
3² is 3 × 3: ×3 is a double and one more, 3 × 2 = 6, 6 + 3 = 9
10. 12² = 144
12² is 12 × 12: ×12 is ×10 and ×2, 12 × 10 = 120, 12 × 2 = 24, 120 + 24 = 144
11. 25² = 625
25²: it ends in 5, 2 × 3 = 6, then 25 on the end → 625
12. 17² = 289
17² is 17 × 17: split 17 into 10 and 7, 10 × 17 = 170, 7 × 17 = 119, 170 + 119 = 289

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. Each box of chocolates is laid out in a square: 7 rows of 7. Ka-yan buys 4 boxes. How many chocolates is that altogether? (Answer: 196 chocolates)
7 × 7 = 49; 49 × 4 = 196
14. A marching band stands in a square, 22 rows of 22 players. How many players are in the band? (Answer: 484 players)
22 × 22 = 484
15. A marching band stands in a square, 6 rows of 6 players. How many players are in the band? (Answer: 36 players)
6 × 6 = 36
16. 256 equal square tiles fit together exactly to make one big square. How many tiles are along each side of the big square? (Answer: 16 tiles)
16 × 16 = 256
17. A function room has 237 chairs, all to be set out in a solid square, with as many in each row as in each column. What is the fewest extra chairs that must be brought in? (Answer: 19 chairs)
15 × 15 = 225, fewer than 237: not every chair is used; 16 × 16 = 256 is enough; 256 − 237 = 19
18. A function room has 311 chairs, all to be set out in a solid square, with as many in each row as in each column. What is the fewest extra chairs that must be brought in? (Answer: 13 chairs)
17 × 17 = 289, fewer than 311: not every chair is used; 18 × 18 = 324 is enough; 324 − 311 = 13

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