Fractions

Fractions, SM-Bank 070

Write reciprocals for the following.

(1 mark)

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b.

c.

Fractions, SM-Bank 061

Transmission Oils import engine oil.

They sell one brand of engine oil at times the wholesale price.

If the wholesale price is $12 per litre, what is the selling price per litre? (2 marks)

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Fractions, SM-Bank 060

Bryce drew the diagram below to represent of equals .

Complete the following diagram and number sentence to represent of . (2 marks)

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Fractions, SM-Bank 059

Find:

of 20 apples. (1 mark)

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of 60 years. (1 mark)

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of 110 kilometres. (1 mark)

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b.

c.

Fractions, SM-Bank 058

Evaluate the following number sentences, giving your answers in simplest form.

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a.

b.

c.

Fractions, SM-Bank 057 MC

Mallory has cup of raisins.

She needs cup of raisins for a fruit cake she is making.

How many more cups of raisins does Mallory need for the recipe?

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Fractions, SM-Bank 056

Sally makes bird feeders to hang in her garden.

The table below shows the fraction of the bird feeder eaten each day by the birds.

If the whole feeder was consumed in four days, what fraction did the birds eat on Thursday? (2 marks)

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The bird feeder weighs 5 kilograms. How many kilograms were consumed on Monday? (2 marks)

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a.

b.

Fractions, SM-Bank 055

Evaluate the following number sentences, giving your answers in simplest form.

(1 mark)

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a.

b.

c.

Fractions, SM-Bank 054

Evaluate the following number sentences, giving your answers in simplest form.

(1 mark)

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a.

b.

c.

Fractions, SM-Bank 053

What is the difference between and ? (2 marks)

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Fractions, SM-Bank 052 MC

What is the difference between and ?

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Fractions, SM-Bank 051 MC

A cupcake recipe contains cup of sugar.

Which of the following represents the same amount of sugar?

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Fractions, SM-Bank 050 MC

A walking path near the beach is paved for half of the length, cobbled stone for of the length and then grass for the rest of the path.

For what fraction of the path is it grass?

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Fractions, SM-Bank 49 MC

A garden centre sells a potting mix made up of soil, manure and sand.

Soil makes up of the mix and manure makes up of the mix.

What fraction of the potting mix is sand?

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Fractions, SM-Bank 048

George has 5 cups of gluten free flour.

He uses cups of gluten free flour for one recipe and gives cup to a friend.

How many cups of gluten free flour does George have left? (2 marks)

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Fractions, SM-Bank 047

Mike is downloading a complete hard drive onto his new computer.

It should take 24 minutes to download the full hard drive.

Mike loses his internet connection when of the hard drive is downloaded.

How many more minutes are needed for Mike to complete the download? (2 marks)

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Fractions, SM-Bank 046 MC

Which fraction makes the number sentence correct?

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Fractions, SM-Bank 045 MC

What value makes this number sentence correct?

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Fractions, SM-Bank 044

Add the following mixed numbers giving your answer in simplest form.

(2 mark)

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a. Method: Adding whole number parts first

b. Method: Adding whole number parts first

c. Method: Adding whole number parts first

Fractions, SM-Bank 043

Add the following mixed numbers giving your answer in simplest form.

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a. Method 1: Adding whole number parts first

Method 2: Changing to improper fractions

b. Method 1: Adding whole number parts first

Method 2: Changing to improper fractions

c. Method 1: Adding whole number parts first

Method 2: Changing to improper fractions

Fractions, SM-Bank 042

Add the following fractions giving your answer in simplest form.

(1 mark)

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a.

b.

c.

Fractions, SM-Bank 041

Add the following fractions giving your answer as a mixed number where necessary.

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Fractions, SM-Bank 040

Three friends are baking cupcakes for the Spring Fair.

Maryanne will bake of the cupcakes, Martin has a large oven and will bake of the cupcakes and Monty will bake the rest.

What fraction of the cupcake baking does Monty complete? (2 marks)

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Fractions, SM-Bank 039

Three friends are running as a team in a fun run.

Thanh hopes to finish of the run, Jamieson is confident he can complete of the run and Jules will complete the rest.

What fraction of the fun run does Jules complete? (2 marks)

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Fractions, SM_Bank 038

What is the lowest common denomiator of the following sets of fractions?

(1 mark)

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Fractions, SM-Bank 037

What is the lowest common multiple of the following sets of numbers?

(1 mark)

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Fractions, SM-Bank 036

Jaime and Jordan ordered 2 extra large pizzas for dinner.

Jaime ate of an extra large pizza.

If Jordan ate 3 times as much pizza as Jaime, how much pizza did Jordan eat? Give your answer as a mixed number. (1 mark)

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What fraction of pizza is left over? (2 marks)

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Fractions, SM_Bank 035

A bag of tomatoes weighs of a kilogram.

Mischa buys 5 bags.

How many kilograms of tomatoes does Mischa buy? (2 mark)

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Fractions, SM-Bank 034

A bag of flour weighs of a kilogram.

Peter buys two bags.

How many kilograms of flour does Peter buy? (1 mark)

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Fractions, SM-Bank 033

Which two of the following fractions are not in simplest form? (2 marks)

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Fractions, SM-Bank 032

Which two of the following fractions are not in simplest form? (2 marks)

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Fractions, SM-Bank 031

Convert to an improper fraction. (1 mark)

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Fractions, SM-Bank 030

Convert to an improper fraction. (1 mark)

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Fractions, SM-Bank 029

Convert to an improper fraction. (1 mark)

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Fractions, SM-Bank 028

Convert to a mixed number, in simplest form. (2 marks)

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Fractions, SM-Bank 027

Convert to a mixed number, in simplest form. (2 marks)

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Fractions, SM-Bank 026

Convert to a mixed number, in simplest form. (2 marks)

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Fractions, SM-Bank 025

Convert to a mixed number. (1 mark)

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Fractions, SM-Bank 024

Convert to a mixed number. (1 mark)

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Fractions, SM-Bank 023

Convert to a mixed number. (1 mark)

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Fractions, SM-Bank 022

Simplify , giving your answer in simplest form. (2 marks)

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Fractions, SM-Bank 021

Simplify , giving your answer in simplest form. (2 marks)

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Fractions, SM-Bank 020

Simplify , giving your answer in simplest form. (1 mark)

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Fractions, SM-Bank 019

Simplify , giving your answer in simplest form. (1 mark)

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Fractions, SM-Bank 018

List all factors of 20 and 36. (2 marks)

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What is the highest common factor (HCF) of 20 and 36? (1 mark)

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Use the HCF of 20 and 36 to simplify . (1 mark)

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Fractions, SM-Bank 017

State whether the following pairs of fractions are equivalent by using the or symbol in the box between the fractions. (3 marks)

a.
b.
c.

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Fractions, SM-Bank 016

A bowl has 16 pieces of fruit in it.

12 of the pieces of fruit are oranges.

What fraction of the pieces of fruit are oranges? Give your answer in simplest form. (1 mark)

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Fractions, SM-Bank 015

The shape below has some triangles shaded.
Shade some extra triangles so that of the the shape is shaded. (1 mark)
Using the shape in (a.) above, or otherwise, write two more fractions that are equivalent to . (2 marks)

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Fractions, SM-Bank 014 MC

Which shape has shaded?

	A.	B.	C.	D.

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Fractions, SM-Bank 013 MC

Which shape has shaded?

	A.	B.	C.	D.

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Fractions, SM-Bank 012

Shade of the image below. (1 mark)

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Fractions, SM-Bank 011

Write the following fractions in order from largest to smallest. (2 marks)

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Fractions, SM-Bank 010 MC

Which set of fractions is ordered smallest to largest?

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Fractions, SM-Bank 009 MC

Which letter is pointing closest to on this number line?

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Fractions, SM-Bank 008

Write the following fractions in ascending order. (1 mark)

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Graph the fractions in part (i) on the number line below. (1 mark)