1. Which of the following fractions is the smallest? 

 

📖 REMINDER: To find the smallest fraction, a good strategy is to compare them to a common benchmark like 1⁄2, or find a common denominator. Remember, with the same numerator, a larger denominator means a smaller fraction!

 

WA1,MGS,2024,Fractions
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2. Mrs Tan baked a box of cookies. She gave 1⁄3 of the cookies to her neighbour and shared the remaining cookies equally between her 3 children. What fraction of the box of cookies did each of her 3 children receive? 

 

📖 REMINDER: Remember to first find the fraction of cookies remaining after giving some away. Then, divide this remaining fraction equally among the number of children to find each child's share.

 

WA2,TP,2025,Fractions
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3. Which of the following shows the numbers arranged from the smallest to the largest? 

 

📖 REMINDER: To compare fractions and decimals, first convert them all to the same form. You can convert fractions to decimals, or convert decimals to fractions with a common denominator, then compare.

 

WA1,CHS,2025,Fractions
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4. Point X is located between Y and Z such that YX is 2⁄3 of XZ. If Y is at 1⁄4 and Z is at 5⁄4 on the number line, what fraction is represented at X? 

📖 REMINDER: When YX is 2/3 of XZ, it means YX : XZ = 2 : 3. 

 

WA2,MSG,2025,Fractions
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5. At a fruit stall, 2⁄3 of the fruits are apples and the rest are oranges. 1⁄4 of the oranges are sour oranges. The rest of the oranges are sweet oranges. What fraction of all the fruits at the stall are sweet oranges? 

 

📖 REMINDER: Work step by step: First find the fraction of oranges, then find what fraction of those are sweet oranges, and finally calculate what fraction of ALL fruits the sweet oranges represent.

SA1,MGS,2025,Fractions
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6. Sarah bought 4⁄5 m of cloth. She used 3⁄4 of it to make a dress.

With the remaining cloth, she used it to make 2 hair ribbons. How much cloth was used to make 1 hair ribbon?

 

Answer: m

 

📖 REMINDER: First find how much cloth is left after making the dress, then divide that remaining cloth equally between 2 ribbons.

 

 

WA1,MGS,2024,Fractions

7. Mr Lee bought 8.4 kg of rice to pack into bags. Each bag needs 0.35 kg of rice. He packed as many bags as possible with the rice. What is the mass of rice left?

 

Answer: kg

 

 

📖 REMINDER: Divide the total rice by the amount needed per bag to find how many whole bags can be packed. The remainder will be the rice left over.

WA2,NH,2024,Decimals

8. Mr Lee bought 8.4 kg of rice to pack into bags. Each bag needs 0.35 kg of rice. He packed as many bags as possible with the rice. What is the mass of rice left?

 

Answer: kg

 

 

📖 REMINDER: Divide the total rice by the amount needed per bag to find how many whole bags can be packed. The remainder will be the rice left over.

WA2,MGS,2024,Decimals

9. Emma, Sarah, Ben, and David sold some raffle tickets.

Both Emma and David sold 8 of the tickets each. Sarah sold 15 tickets more than Emma and Ben sold 28 tickets. How many tickets did they sell altogether?

 

Answer: tickets

 

 

📖 REMINDER: Calculate each person's ticket count carefully. Remember that "15 tickets more than Emma" means you need to add 15 to Emma's amount to find Sarah's tickets.

 

 

WA1,MGS,2024,Whole Numbers

10. Alex, Ben, and Chris had 84 stickers altogether. Alex gave 1⁄7 of his stickers to Ben and 2⁄7 of his stickers to Chris. In the end, all 3 boys had the same number of stickers.

(a) Who had more stickers at first, Ben or Chris? How many more?

 

Answer: (a) Name of child:


Number of stickers: more

 

 

(b) What fraction of the total number of stickers did Ben have at first?

 

Answer:

 

 

📖 REMINDER: All boys end with equal amounts, so start by dividing the total equally. Then work backwards: Alex kept 4/7 of his stickers, which equals his final amount. Use this to find his initial stickers and how many he gave to each friend.

 

 

 

WA1,MGS,2024,Fractions,TestMGSWA1

11. Emma, Jack, and Lily had 120 marbles altogether. Emma gave 1⁄3 of her marbles to Jack and 1⁄4 of her marbles to Lily. In the end, all 3 children had the same number of marbles.

 

(a) Who had more marbles at first, Jack or Lily? How many more?

 

Answer:  Name of child:

Number of marbles: more

 

(b) What fraction of the total number of marbles did Jack have at first?

Answer :

 

📖 REMINDER: All children end with equal marbles: 120 ÷ 3 = 40 each. Emma kept 1 - (1/3 + 1/4) = 5/12 of her marbles. This 5/12 equals 40 marbles, so you can find Emma's initial marbles.

 

 

WA1,MGS,2024,Fractions


 

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