Fractions (Difficult)
Test your fractions skills in this quiz.

Fractions (Difficult)

All fractions have a numerator and a denominator. Before you do this quiz, do all the other 11-plus Maths quizzes on fractions.

By the time you come to play this quiz, you should have a good grasp of fractions. Remember the best way to learn any new subject is to keep practising every day until you are confident you know what you are doing.

As always, take your time in this quiz. Read the questions carefully - even read them aloud to help - and look at all four answers before choosing. If you get it wrong (or even if you get it right), make sure you read the comment that pops up after the question has been answered. These comments will help you understand how the calculation is worked out.

Good luck!

Did you know...

You can play all the teacher-written quizzes on our site for just £9.95 per month. Click the button to sign up or read more.

Sign up here
  1. What is 548 as an improper fraction in its simplest form?
    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: 5 × 8 = 40. STEP 2: 40 + 4 = 44. STEP 3: 448. Divide the numerator and denominator by 4 to reduce the fraction to its simplest form: 112
  2. What is 247 as a mixed fraction in its simplest form?
    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: 24 ÷ 7 = 3. STEP 2: Remainder 3. STEP 3: 337
  3. There are 360° in a circle. If you walk round 58 of the circumference of a circle, how many degrees will you have walked around?
    All you have to do is find 58 of 360°: 58 × 360° = (5 × 360°) ÷ 8 = 1,800° ÷ 8 = 225°. Do the brackets first
  4. What is 184 as a mixed fraction in its simplest form?
    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: 18 ÷ 4 = 4. STEP 2: Remainder 2. STEP 3: 424. Divide the numerator and denominator by 2 to reduce the fraction to its simplest form: 412
  5. What is 46 + 83 + 515 expressed as a mixed fraction?
    46 + 83 + 515 = 23 + 83 + 13 = 113 = 323. Reduce the fractions to their simplest forms, then add them. If the denominators are the same, you can add/subtract the fractions by simply adding/subtracting their numerators - it really is as easy as that! Finally, write the improper fraction as a mixed fraction
  6. What is 968 as an improper fraction in its simplest form?
    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: 9 × 8 = 72. STEP 2: 72 + 6 = 78. STEP 3: 788. Divide the numerator and denominator by 2 to reduce the fraction to its simplest form: 394
  7. What is four-fifths of five-sixteenths in its simplest form?
    The word OF means multiply: 45 × 516 = 14. You multiply the numbers in the denominator together, and you multiply the numbers in the numerator together to form a single fraction. This fraction can then be reduced to its simplest form: sometimes you can reduce the fractions before you multiply them together
  8. An eighth of an eighth is the same as what fraction of a fourth?
    The word OF means multiply: 18 × 18 = 164. You now have to find a fraction which multiplied with 14 gives 164. Well, 4 × 16 = 64, so the fraction (in its simplest form) must be 116
  9. If 1730 of the class voted against extra homework, how many pupils in the class voted in favour of extra homework?
    1330 of the class voted in favour of extra homework BUT fractions alone DO NOT tell you the actual number of people or things involved. If you had been told that there were 30 pupils in the class, then choice 2 would have been the best answer. Always be on the lookout for the BEST answer
  10. How many 615 are there in 45?
    615 can be reduced to 25 (divide the numerator and the denominator by 3). Now you can see that 45 is twice as much as 25

Author: Frank Evans

The Tutor in Your Computer!

Quiz yourself clever - 3 free quizzes in every section

  • Join us (£9.95/month) to play over 4,000 more quizzes
  • Reinforce your school learning in the comfort of home
  • Build your confidence in National Curriculum subjects
  • Test yourself to identify gaps in learning
  • Revise fast for tests and exams

© Copyright 2016-2017 - Education Quizzes
TJS - Web Design Lincolnshire

Valid HTML5

We use cookies to make your experience of our website better.

To comply with the new e-Privacy directive, we need to ask for your consent - I agree - No thanks - Find out more