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Fraction Practice Questions With Answers (Age 9-12)

Forty-three numbered fraction exercises led by a character called Funny Frank Fraction, running from shading halves and quarters through cancelling, common denominators and mixed numbers to dividing by a reciprocal, with fourteen pages of worked answers.
Grades
Grades 4–6, Elementary, Middle School
File type
PDF
Preparation
Print ready

Updated Aug 01, 2021

Subject
Math, Fractions
Topic
fraction practice, math exercise
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready

About this resource

What's inside this resource

Fraction Practice Questions With Answers (Age 9-12)

Fraction Practice Questions With Answers (Age 9-12) is a meticulous pack of exercises aimed at fostering a strong understanding of fractions in students aged between 9 to 12. This teaching resource targets the key struggle areas and hard-to-grasp concepts in mathematics that typically affect young learners. The collection provides extensive practice sessions with a focus on both easy and complicated topics.

Features:

  • The resource delves into various aspects regarding fractions. It includes working out the fraction of a shaded shape, exploring half, quarter, or three-quarter of an amount and establishing an understanding of fractions as integral parts of wholes.
  • Additionally, it features exercises on finding equivalent fractions and cancelling down to the lowest terms.
  • Apart from this, it extends its reach to tackle more advanced areas like finding the Lowest Common Multiple (LCM), arranging fractions according to size or magnitude, adding up, subtracting multiplying and dividing diverse fractions along with comprehending improper fractions.

Note: This comprehensive pack was constructed keeping in mind the need for greater engagement towards each mathematical concept under discussion. It firmly believes in student interaction through multiple exercises fostering not just higher-order thinking but also concreteness in comprehension leading towards higher math skills acquisition.

Purpose:

The resource can serve as an invaluable tool during whole group instruction or personalized elective small groups cutting across grade levels such as Grade 4 through Grade 6 Maths classrooms or can be handed over as single academic tasks for homework assignments thus providing reinforcement after school hours. This product comes complete with answers ensuring evaluation ease while leaving ample room for educator intervention also making it favourable among homeschoolers who wish to strengthen their curriculum foundation in Mathematics particularly focusing on Fractions subtopic.

Format:

Being user-friendly PDF type worksheets format spanning across elaborate sixty-three page layout is cherry-on-top accessibility feature benefiting both educators trying to make abstract mathematical models highly tactile ones while including diversity among learners’ experience enriching arithmetic journey holistically.


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In the classroom

Teaching tips & learning objectives

Learning objectives

  • Name the fraction a shaded shape shows, and shade a shape to match a given fraction

  • Find a unit or non-unit fraction of an amount, including money and weight such as ⅕ of 40 pence and ¼ of 48 g of flour

  • Cancel a fraction to its lowest terms and generate equivalent fractions in both directions

  • Find the lowest common multiple of two denominators and use it to compare, order, add and subtract fractions

  • Convert between mixed numbers and improper fractions

  • Multiply fractions by fractions and by whole numbers, and divide by multiplying by the reciprocal

Teaching tips

  • Every new operation is introduced by a worked example set directly above its questions — "1 3/8 = 1 x 8 + 3 = 11/8" heads the mixed-number conversion — so a section can be handed out without a separate explanation

  • Money and measures are British: £50, 40 pence, 48 g of flour, and shop items like toffees and sweets. Plan a substitution if your class works in dollars

  • The fraction wall sits partway through Part 1; pull it forward as a reference for the comparing and ordering exercises that follow it

  • Answers name the divisor rather than only the result, so a student marking their own work can see exactly which cancelling step went wrong

  • Part 2 opens by revisiting cancelling and equivalents before any addition, which makes it a natural restart point if Part 1 exposes a gap

Skills covered

  • Recognising fractions of a shape — students ring whether a square shows ½ or ¼, write the fraction shaded, and shade squares to match ²⁄₄, ³⁄₆, ⁴⁄₈ and ⁵⁄₁₀.

  • Finding fractions of amounts — sets run from ½ of 12 up to ¾ of 200, and into shop quantities such as ⅞ of 56 chocolate bars and ⅚ of 36 packs of nuts.

  • Equivalent fractions and cancelling — students match equivalent pairs, fill missing numerators and denominators along a chain, and reduce fractions such as 30/48 to lowest terms.

  • Working with the lowest common multiple — students find the LCM of pairs such as 6 and 10, then use it to order fractions and to add and subtract across unlike denominators.

  • Multiplying and dividing fractions — students multiply fraction by fraction and by whole numbers, write reciprocals such as 6 to ⅙, and divide by multiplying by the reciprocal.

Good to know

Questions teachers ask about this resource

Which currency and units do the word problems use?

British ones. Money appears as £50 and 40 pence, weights as 48 g and 49 grams of flour, and shop items include toffees, biscuits and sweets. The instructions follow the same convention, as in "Practise these."

How do the two parts relate to each other?

Part 1 builds the ground — naming fractions, fractions of amounts, equivalents, cancelling, lowest common multiples and ordering. Part 2 restarts with a short cancelling and equivalents review, then moves into adding and subtracting across denominators, mixed and improper numbers, multiplying, reciprocals and division.

How much working is shown alongside the results?

Enough to trace the method. Cancelling results name the divisor, as in "24/32 (÷ 4) = 6/8 = ¾"; division results show the reciprocal step, as in "⅓ x 2/1 = ⅔"; and results that can be written two ways are given both, as in "14/16 or ⅞".

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Resource details

Concepts & topics

Core concepts

  • Fractions

  • Equivalent fractions

  • Lowest common multiple

  • Mixed and improper fractions

  • Multiplying and dividing fractions

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