A 80-cm ribbon was cut into two unequal pieces. The longer piece was 54 cm long. Find the ratio of the length of the shorter piece to the length of the longer piece.

• 27 : 40

• 40 : 27

• 13 : 27

• 27 : 13

Find the missing number.

_________ : 9 = 56 : 72

Pei Xuan raised $24 for a school fundraising event. Lyana raised $12. Rachel raised $30. Find the ratio of the amount raised by Pei Xuan to the amount raised by Lyana to the amount raised by Rachel in its simplest form.

The ratio of the number of plain T-shirts to the number of striped T-shirts in a wardrobe is 5 : 4. There are 27 T-shirts altogether. How many striped T-shirts are there in the wardrobe?

• 12

• 15

• 27

• 35

The ratio of the number of fiction books to the number of non-fiction books in a school library is 4 : 3. There are 36 non-fiction books. How many books are there in the library altogether? There are __________ books in the library.

Keifer, Titus and Daryl shared an amount of money in the ratio 1 : 3 : 5. Titus received $60 more than Keifer. How much money did they share?

• $30

• $60

• $90

• $270

Kexin has a cat that weighs 7 kg and a dog that weighs 9 kg.

The mass of the cat is _______ of the mass of the dog.

• 
  

  $\frac{7}{9}$
  

• $\frac{9}{7}$

• $1\frac{2}{7}$

• $1\frac{2}{9}$

Bowen mixed 5 cups of garden soil and 4 cups of compost to make soil mixture for one pot in his garden.

He uses 32 cups of compost. How many cups of garden soil does he need?

• 30

• 40

• 50

• 60

The ratio of Rashaad’s age to Aiden’s age is 4 : 3. The ratio of Rashaad’s age to Claire’s age is 6 : 7. Find the ratio of Rashaad’s age to Aiden’s age to Claire’s age in its simplest form.

• 8 : 6 : 7

• 4 : 3 : 14

• 12 : 9 : 14

• 12 : 3 : 14

The mass of a bag of potatoes is  $\frac{8}{5}$  of the mass of a bag of onions. The total mass of the bags of potatoes and onions is 26 kg. What is the mass of the bag of potatoes? The mass of potatoes is _____________ kg.