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Maths Quiz - Fractions (Easy) (Questions)

This 11-plus Maths quiz introduces the ideas of an 'improper fraction' and a 'mixed fraction'. In this quiz we are going to do a few simple calculations with fractions. An improper fraction is a fraction in which the numerator is greater than or equal to the denominator, e.g. 5⁄3 and 9⁄9. A mixed fraction (also called a mixed number) is a number that has a whole number part and a fractional part, which is not written as a decimal, e.g. 23⁄5. Here are a couple of tips.

TIP 1: Don't forget: the numerator is the number at the top and the denominator is the number at the bottom of a fraction.

TIP 2: To convert a mixed fraction to an improper fraction, follow these steps:

  1. Multiply the whole number part by the denominator.
  2. Add this result to the numerator.
  3. Write the fraction with step 2 in the numerator and keep the original denominator.
1. What is 33⁄5 as an improper fraction?
[ ] 45⁄5
[ ] 9⁄3
[ ] 18⁄5
[ ] 18⁄3
2. What is the improper fraction 16⁄5 as a mixed fraction?
[ ] 316⁄5
[ ] 31⁄5
[ ] 161⁄5
[ ] 106⁄5
3. If you are asked to find 1⁄8 of something, what is the best method of doing it?
[ ] Subtract 8
[ ] Add 8
[ ] Multiply by 8
[ ] Divide by 8
4. What is 1⁄2 of 1⁄4?
[ ] 3⁄4
[ ] 1⁄8
[ ] 1⁄16
[ ] 1⁄32
5. Mary says that you can have one fifth of her sweets. If she has 125 sweets, how many sweets will you get?
[ ] 75
[ ] 25
[ ] 45
[ ] 65
6. What is 63⁄9 as an improper fraction?
[ ] 19⁄3
[ ] 18⁄9
[ ] 54⁄3
[ ] 57⁄3
7. What is 54⁄18 as a mixed fraction?
[ ] 33⁄18
[ ] 31⁄18
[ ] 11⁄3
[ ] 3
8. Harry lost three-quarters of half the money his aunt had given him. If half of the money was £64, how much did Harry lose?
[ ] £96
[ ] £32
[ ] £24
[ ] £48
9. First, Anne had 4⁄16 of the cake. Then, James had 9⁄16 and finally, Henry had 6⁄16 of the cake. Is there anything wrong here?
[ ] Anne should have been given more cake because she is a girl
[ ] No. Bon appétit!
[ ] Yes. Henry didn't get the stated amount of cake
[ ] Yes. there won't be any cake left for Henry
10. What is one seventh of 49?
[ ] 42
[ ] 56
[ ] 7
[ ] 343
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Maths Quiz - Fractions (Easy) (Answers)
1. What is 33⁄5 as an improper fraction?
[ ] 45⁄5
[ ] 9⁄3
[x] 18⁄5
[ ] 18⁄3
To convert a mixed fraction to an improper fraction, follow these steps: 1. Multiply the whole number part by the denominator. 2. Add this result to the numerator. 3. Write the fraction with step 2 in the numerator and keep the original denominator. STEP 1: 3 × 5 = 15. STEP 2: 15 + 3 = 18. STEP 3: 18?5
2. What is the improper fraction 16⁄5 as a mixed fraction?
[ ] 316⁄5
[x] 31⁄5
[ ] 161⁄5
[ ] 106⁄5
To convert an improper fraction to a mixed fraction, follow these steps: 1. Divide the numerator by the denominator. 2. Note the whole number remainder. 3. Write the number from step 1 as the whole number in front of the fractional part AND write the fractional part with the remainder in the numerator and keep the original denominator. STEP 1: 16 ÷ 5 = 3. STEP 2: Remainder 1. STEP 3: 31?5
3. If you are asked to find 1⁄8 of something, what is the best method of doing it?
[ ] Subtract 8
[ ] Add 8
[ ] Multiply by 8
[x] Divide by 8
The word 'of' means multiply; therefore, one-eighth OF something means multiply by 1?8 BUT multiplying by an eighth is the same as dividing by eight because 1?8 × 32 = 32?8. The same applies in similar situations
4. What is 1⁄2 of 1⁄4?
[ ] 3⁄4
[x] 1⁄8
[ ] 1⁄16
[ ] 1⁄32
1?2 × 1?4 = 1?8. You multiply the numbers in the denominator together, and you multiply the numbers in the numerator together to form a single fraction
5. Mary says that you can have one fifth of her sweets. If she has 125 sweets, how many sweets will you get?
[ ] 75
[x] 25
[ ] 45
[ ] 65
The word 'of' means multiply; therefore one-fifth OF something means multiply by 1?5 BUT multiplying by a fifth is the same as dividing by five: 125 ÷ 5 = 25
6. What is 63⁄9 as an improper fraction?
[x] 19⁄3
[ ] 18⁄9
[ ] 54⁄3
[ ] 57⁄3
To convert a mixed fraction to an improper fraction, follow these steps: 1. Multiply the whole number part by the denominator. 2. Add this result to the numerator. 3. Write the fraction with step 2 in the numerator and keep the original denominator. STEP 1: 6 × 9 = 54. STEP 2: 54 + 3 = 57. STEP 3: 57?9 BUT you must now REDUCE the fraction to its simplest form: divide the numerator and the denominator by 3 to get 19?3
7. What is 54⁄18 as a mixed fraction?
[ ] 33⁄18
[ ] 31⁄18
[ ] 11⁄3
[x] 3
54?18 = 3: REDUCE the fraction to its simplest form: divide the numerator and the denominator by 18. Be on the LOOKOUT for this sort of thing. Note: we could have written 31?1 but this is pointless
8. Harry lost three-quarters of half the money his aunt had given him. If half of the money was £64, how much did Harry lose?
[ ] £96
[ ] £32
[ ] £24
[x] £48
3?4 × £64 = (3 × £64) ÷ 4 = 192 ÷ 4 = £48
9. First, Anne had 4⁄16 of the cake. Then, James had 9⁄16 and finally, Henry had 6⁄16 of the cake. Is there anything wrong here?
[ ] Anne should have been given more cake because she is a girl
[ ] No. Bon appétit!
[x] Yes. Henry didn't get the stated amount of cake
[ ] Yes. there won't be any cake left for Henry
4?16 + 9?16+ 6?16 = 19?16 which is more than 1 cake! In fact, Henry only got 3?16 of the cake, which was less than Anne got
10. What is one seventh of 49?
[ ] 42
[ ] 56
[x] 7
[ ] 343
1?7 × 49 = 49 ÷ 7 = 7
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