Practice Maths

Topic Review — Fractions #3

Mixed Practice — L42 – L44

This review covers comparing fractions, adding & subtracting fractions, and expressing quantities as fractions. Try each question before checking your answers.

Review Questions

  1. Compare each pair using <, > or = Fluency

    1. 34 __ 56
    2. 45 __ 79
    3. 58 __ 712
    4. 23 __ 46
    5. Order from smallest to largest: 35, 710, 23, 58

  2. Add or subtract these fractions Fluency

    1. 13 + 14
    2. 56 − 14
    3. 34 + 56
    4. 78 − 23
    5. 25 + 710
    6. 1112 − 38

  3. Add and subtract mixed numbers Fluency

    1. 212 + 134
    2. 423 − 156
    3. 335 + 234
    4. 514 − 278

  4. Express as a fraction and percentage Understanding

    1. 12 out of 48
    2. 30 minutes as a fraction of 2 hours
    3. 800 m as a fraction of 2 km
    4. 300 mL as a fraction of 1.5 L
    5. 45 cm as a fraction of 3 m

  5. Mixed word problems Problem Solving

    1. A pizza is cut into 8 equal slices. Sophie eats 3 slices and Max eats 2 slices. What fraction of the pizza has been eaten? What fraction remains?
    2. In a class of 30 students, 18 play a sport. Express this as a fraction in simplest form and as a percentage.
    3. Ben has 234 m of ribbon. He uses 113 m for a gift. How much ribbon remains? Is that more or less than 1 m?
    4. Three candidates in a school election received the following fractions of the vote: 512, 13 and 14. Who won? Do the fractions add to 1?

  6. Challenge — multi-step Problem Solving

    1. Anna spends 14 of her day sleeping, 13 at school and 18 doing sport. What fraction of her day remains for other activities? Express as hours (1 day = 24 hours).
    2. A recipe for one batch uses 34 cup flour and 23 cup sugar. For 2½ batches, how much flour and sugar is needed in total?

  7. Find the fraction of each amount: Fluency

    1. 35 of 60
    2. 78 of 40
    3. 23 of 90 cm in metres
    4. 512 of 144

  8. Between which two fractions with denominator 10 does each fraction lie? Fluency

    1. 37
    2. 58
    3. 29

  9. A class of 36 students: 14 have a pet dog, 16 have a pet cat, and the rest have no pet. Understanding

    1. How many students have a dog?
    2. How many students have a cat?
    3. What fraction of the class has no pet? Express as a percentage.

  10. Sam, Ella, and Zac each run a different section of a 10 km relay. Sam runs 25 of the total. Ella runs 14 of the total. Problem Solving

    1. How many kilometres does Sam run?
    2. How many kilometres does Ella run?
    3. What fraction of the relay does Zac run? How many km is that?
    4. Who runs the most? Who runs the least?
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