Multiplying, dividing and mixed operations · Ages 9–10
Multiplying and dividing by two digits; divisibility worksheet
Covers: Multiplying by 10, by 100 and by whole tens, Long multiplication, Reordering and regrouping factors, ×5 by halving, Two-digit × 11, Squares to 25, Square and cube numbers, Same tens, ones make 10, Multiplying near 100, Long division (by two digits), Four-digit numbers times and divided by two digits, Estimate first, then check, Divisibility rules for 2, 3, 5 and 10, Divisibility rules for 4, 6, 8, 9, 25 and 100
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Multiplying and dividing by two digits; divisibility worksheet
Multiplying, dividing and mixed operations · Ages 9–10
Numsprite
numsprite.com
Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.443 × 100 =
Answer:
2.482 × 20
Answer:
3.20 × 5
Answer:
4.52 × 11
Answer:
5.10²
Answer:
6.87 × 83
Answer:
7.306 ÷ 21 = ? … 12
Answer:
8.9450 ÷ 54 =
Answer:
9.Estimate 79 × 41: round both to the nearest ten, and the answer is about .
Answer:
10.The four-digit number 497 is divisible by 4. What is the biggest digit can be?
Answer:
Part B: Choose, or true or false (2 marks each)
11.125 × 84 × 8 = 84 × 133
True or false?
Answer:
12.7424 is an even number.
True or false?
Answer:
Part C: Word problems (4 marks each)
13.A dictionary has 440 pages. A library has 23 of them. How many pages is that altogether?
Working:
Answer:
14.Dad works 5 days a week. How many working days are there in 40 weeks?
Working:
Answer:
15.A storeroom has 5 crates of mooncakes, 5 boxes in each crate and 5 mooncakes in each box. How many mooncakes are there?
Working:
Answer:
16.A laptop costs $13,930 paid all at once, or $400 a month in instalments over 3 years. How many dollars more does paying in instalments cost?
Working:
Answer:
17.A cha chaan teng's lunch set is $88, and 39 were sold today. Rounding both numbers to the nearest ten, about how many dollars did the lunch sets take today?
Working:
Answer:
18.From 2010 to 2049 (counting both), how many years are divisible by 4?
Working:
Answer:
Show the answers and working
Multiplying and dividing by two digits; divisibility worksheet: Answers and working
Part A: Working out and filling in
1. 44300
Times 100: how many places does each digit of 443 move left, and how many 0s go on the end?
Times 100, the digits move left and 0s go on the end: 44300.
2. 482 × 20 = 9640
482 × 20: 20 is 2 tens, 482 × 2 = 964, 482 × 20 = 9640
3. 20 × 5 = 100
20 × 5: ×5 is ×10 then halved, 20 × 10 = 200, 200 ÷ 2 = 100
4. 52 × 11 = 572
52 × 11: split 5 and 2, put 5 + 2 = 7 in between → 572
5. 10² = 100
10² is 10 × 10: a whole number ×10 gets a zero on the end, 10 × 10 = 100
6. 87 × 83 = 7221
87 × 83: the same tens, and the ones make 7 + 3 = 10. Front 8 × 9 = 72, back 7 × 3 = 21, front then back → 7221
7. 306 ÷ 21 = 14 … 12
306 ÷ 21: try the tens first, 21 × 10 = 210, 306 − 210 = 96, then the ones, 21 × 4 = 84, 96 − 84 = 12, and 12 is less than 21, 10 + 4 = 14; so the quotient is 14 and the remainder 12
8. 175
Round 54 to the nearest ten to try each digit, and divide 9450 place by place from the left.
Round 54 to tens to try each digit, place by place: 9450 ÷ 54 = 175. Check: 175 × 54 = 9450.
9. 3200
Round 79 and 41 to the nearest ten first, then multiply the two whole tens.
79 is about 80 and 41 about 40: 80 × 40 = 3200.
10. 6
Only the last two digits matter: try □ from 9 downwards and see when they divide by 4.
Only the last two digits matter: trying down from 9, 76 is the biggest that divides by 4, so □ is 6.
Part B: Choose, or true or false
11. False
Multiplying can be done in any order. What is 125 × 8? Compare it with 133.
Reorder and multiply 125 × 8 = 1000 first, so 125 × 84 × 8 = 84 × 1000. Adding 125 and 8 is wrong.
12. True
Just look at the last digit of 7424: is it 0, 2, 4, 6 or 8?
Look at the last digit, 4: a number ending in 0, 2, 4, 6 or 8 is divisible by 2 and even; any other is odd.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. A dictionary has 440 pages. A library has 23 of them. How many pages is that altogether? (Answer: 10120 pages)
440 × 23 = 10120
14. Dad works 5 days a week. How many working days are there in 40 weeks? (Answer: 200 days)
5 × 40 = 200
15. 125 mooncakes
First work out one crate: 5 boxes of 5; then multiply by the number of crates.
5 × 5 × 5 = 5³: 25 a crate, 125 in 5 crates.
16. 470 dollars
Change 3 years into months first: a year has 12 months. Then work out the instalments' total.
3 years is 36 months. The instalments come to 400 × 36 = $14,400, which is $14,400 − $13,930 = $470 more than $13,930.
17. 3600 dollars
Round 88 and 39 to the nearest ten, then multiply.
88 is about 90 and 39 about 40: 90 × 40 = 3600.
18. 10 years
Find the first year from 2010 on that divides by 4 (look at the last two digits), then count every 4th year.
Use the last two digits to find the first and last years divisible by 4, then count every 4th year: 10.
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