1. Arrange the fractions 2⁄5, 3⁄7, and 1⁄3 in order from greatest to smallest.
 

 

📖 REMINDER: To compare fractions, make them have the same bottom number (denominator) first.

 

WA1,NH,2024,Fractions
1.
2.
3.
4.
2. Express 3 4⁄25 as a decimal.
 

 

📖 REMINDER: To convert a mixed number to decimal, keep the whole number part and convert the fraction part by dividing the numerator by the denominator.

 

WA1,NH,2024,Decimals
1.
2.
3.
4.
3. What is 3⁄8 × 4⁄5? 

 

📖 REMINDER: To multiply fractions, multiply the numerators together and the denominators together. Then simplify the answer if possible.

 

WA1,NH,2024,Fractions
1.
2.
3.
4.
4. What fraction comes next in the pattern?
1⁄2, 2⁄3 , 3⁄4 , 4⁄5 ,5⁄6 

 

📖 REMINDER: Look at the pattern in both numerators and denominators. Fractions often follow patterns where both top and bottom numbers change in a regular way.

 

WA1,NH,2024,Fractions
1.
2.
3.
4.
5. A laptop costs $800. David bought it with a 15% discount, then paid 7% GST on the discounted price.
How much did he pay for the laptop including GST? 

 

WA1,NH,2024,Percentage

📖 REMINDER: Calculate the discount first, then apply GST to the discounted price. Remember: GST is calculated on the price AFTER discount.

1.
2.
3.
4.

6. Find the value of 3⁄4 × 2 1⁄2. Express your answer as a mixed number in simplest form.

 

Answer:

 

 

📖 REMINDER: Convert mixed numbers to improper fractions before multiplying. Then simplify the result and convert back to mixed number if needed. 

 

 

WA1,NH,2024,Fractions

7. The product of two fractions is 3⁄4. One of the fractions is 2⁄3. What is the other fraction?

 

Answer:

 

 

📖 REMINDER: To find a missing factor when you know the product and the other factor, divide the product by the known factor.

 

 

WA1,NH,2024,Fractions

8. A pizza was cut into 12 equal slices. It was shared equally among 3 boys. What fraction of the whole pizza did each boy get?

 

Answer:

 

 

📖 REMINDER: To find what fraction each person gets, divide the total by the number of people. Simplify your answer if possible.

 

 

WA1,NH,2024,Fractions

9. Mrs Lee has 6 kg of sugar. She needs 3⁄4 kg of sugar to bake a batch of cookies. How many such batches can she bake?

 

Answer: batches

 

 

📖 REMINDER: To find how many portions you can get, divide the total amount by the amount needed for each portion.

 

 

WA1,NH,2024,Fractions

10. At a school carnival, 45% of the attendees were girls. There were 330 boys at the carnival.
How many students attended the carnival altogether?

 

Answer:

 

📖 REMINDER: If you know the percentage of one part and the actual number of the other part, you can find the total. Remember: percentage of boys = 100% - percentage of girls.

 

 

 

WA1,NH,2024,Percentage

11. After an increase of $80, Sarah's monthly salary became $480. What is the percentage increase in her salary?

 

Answer: %

 

📖 REMINDER: Percentage increase = (Increase amount ÷ Original amount) × 100%. Find the original amount first by subtracting the increase from the new amount.

 

 

 

WA1,NH,2024,Percentage

12. Tom baked a cake. He ate 2⁄5 of it and his four friends four friends shared the remainder equally.
What fraction of the original cake did each friend get? the remainder equally.

 

 

Answer:

 

📖 REMINDER: First find what fraction remains after the first person eats. Then divide that remainder equally among the others.

 

 

 

WA1,NH,2024,Fractions

13. The mass of a container that was 3⁄4-filled with water was 900 g.
When 150 g of water was poured out, it became 1⁄2-filled. Find the mass of the empty container.

 

Answer: g

 

📖 REMINDER: The difference in water weight equals the weight of water between the two fill levels. Use this to find the weight of water for each fraction of the container.

 

 

 

WA1,NH,2024,Fractions


 

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