 # Math: Elementary School: Grades 3, 4 and 5 Quiz - Multiplication and Division 4 (Questions)

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Multiplication and division (specifically) use remainders. Remainders are parts of a number that are left over. As an example, I have 4 cats and 10 cat treats. I can only give each cat 2 treats each, which means I will have 2 treats left over. The 2 left can't be divided by 4 as it is below 4, therefore the 2 is a 'remainder'. Remainders can be converted into fractions and decimals like so:
10 ÷ 4 = 2 r2 or 2.25 or 214

1. Which gives the answer 91?
 [ ] (6 + 5) x (8 - 3) + 6 = [ ] (6 + 5 x 8) - (3 + 6) = [ ] 6 + 5 x (8 - 3) + 6 = [ ] (6 + 5) x 8 - 3 + 6 =
2. How could we find an eighth of a number?
 [ ] Multiply it by 4 [ ] Multiply it by 8 [ ] Divide it by 8 [ ] Divide it by 4
3. On a calculator the answer to a division question is 5.25. What fraction is the remainder?
 [ ] Half [ ] Quarter [ ] Third [ ] Eighth
4. What is the best method of multiplying 72 by 15?
 [ ] Multiply by 10 then halve [ ] Multiply by 10, halve the result, then add the two parts together [ ] Multiply by 10, divide by 5, then add the two numbers [ ] Divide by 10 then double
5. Which strategy would be best to multiply 53 by 25?
 [ ] Multiply by 100 then double [ ] Multiply by 4 then 100 [ ] Multiply by 100 then divide by 4 [ ] Divide by 4 then double
6. Which of these methods would result in finding 112?
 [ ] Half one third twice [ ] Half one quarter twice [ ] Double one quarter twice [ ] Double one sixth
7. What is the best method of multiplying 81 by 99?
 [ ] Multiply by 100 then subtract 81 [ ] Multiply by 10 then add 81 [ ] Multiply by 100 then add 81 [ ] Multiply by 10 then subtract 81
8. Which strategy would be best to multiply 93 by 101?
 [ ] Multiply by 10 then add 93 [ ] Multiply by 100 then add 93 [ ] Multiply by 100 then subtract 93 [ ] Multiply by 10 then subtract 93
9. 2.43 x 10 = ?
 [ ] 2.43 [ ] 24.3 [ ] 243 [ ] 0.243
10. 5.87 x 100 = ?
 [ ] 587 [ ] 5870 [ ] 0.587 [ ] 0.0587 Math: Elementary School: Grades 3, 4 and 5 Quiz - Multiplication and Division 4 (Answers)
1. Which gives the answer 91?
 [ ] (6 + 5) x (8 - 3) + 6 = [ ] (6 + 5 x 8) - (3 + 6) = [ ] 6 + 5 x (8 - 3) + 6 = [x] (6 + 5) x 8 - 3 + 6 =
Work out the calculations in brackets first
2. How could we find an eighth of a number?
 [ ] Multiply it by 4 [ ] Multiply it by 8 [x] Divide it by 8 [ ] Divide it by 4
An eighth of a number is the same as saying divide it by 8
3. On a calculator the answer to a division question is 5.25. What fraction is the remainder?
 [ ] Half [x] Quarter [ ] Third [ ] Eighth
0.25 is the decimal equivalent of 14
4. What is the best method of multiplying 72 by 15?
 [ ] Multiply by 10 then halve [x] Multiply by 10, halve the result, then add the two parts together [ ] Multiply by 10, divide by 5, then add the two numbers [ ] Divide by 10 then double
72 x 10 = 720; half of 720 = 360, so 720 + 360 = 1,080
5. Which strategy would be best to multiply 53 by 25?
 [ ] Multiply by 100 then double [ ] Multiply by 4 then 100 [x] Multiply by 100 then divide by 4 [ ] Divide by 4 then double
Just as 0.25 is 14 of 1, 25 is 14 of 100
6. Which of these methods would result in finding 112?
 [x] Half one third twice [ ] Half one quarter twice [ ] Double one quarter twice [ ] Double one sixth
e.g. 112 of 66. One third is 22, half of 22 is 11, half of 11 is 5.5
7. What is the best method of multiplying 81 by 99?
 [x] Multiply by 100 then subtract 81 [ ] Multiply by 10 then add 81 [ ] Multiply by 100 then add 81 [ ] Multiply by 10 then subtract 81
Multiplying by 100 is much easier than multiplying by 99
8. Which strategy would be best to multiply 93 by 101?
 [ ] Multiply by 10 then add 93 [x] Multiply by 100 then add 93 [ ] Multiply by 100 then subtract 93 [ ] Multiply by 10 then subtract 93
You can use this strategy for other numbers over 100, for example to multiply a number by 107 multiply by 100 and also by 7 then add the 2 results together
9. 2.43 x 10 = ?
 [ ] 2.43 [x] 24.3 [ ] 243 [ ] 0.243
To multiply a number by 10 move its decimal point 1 place to the right
10. 5.87 x 100 = ?
 [x] 587 [ ] 5870 [ ] 0.587 [ ] 0.0587
To multiply a number by 100 move its decimal point 2 places to the right